diff --git a/BotSharp.MachineLearning.UnitTest/BotSharp.MachineLearning.UnitTest.csproj b/BotSharp.MachineLearning.UnitTest/BotSharp.MachineLearning.UnitTest.csproj
index fb050712..02aaf56e 100644
--- a/BotSharp.MachineLearning.UnitTest/BotSharp.MachineLearning.UnitTest.csproj
+++ b/BotSharp.MachineLearning.UnitTest/BotSharp.MachineLearning.UnitTest.csproj
@@ -13,9 +13,9 @@
-
-
-
+
+
+
diff --git a/BotSharp.MachineLearning.UnitTest/SVM/ClassificationTests.cs b/BotSharp.MachineLearning.UnitTest/SVM/ClassificationTests.cs
new file mode 100644
index 00000000..4ffa197e
--- /dev/null
+++ b/BotSharp.MachineLearning.UnitTest/SVM/ClassificationTests.cs
@@ -0,0 +1,126 @@
+using System;
+using Microsoft.VisualStudio.TestTools.UnitTesting;
+using SVM;
+using SVM.BotSharp.MachineLearning;
+using SVM.BotSharp.MachineLearningTest;
+
+namespace BotSharp.MachineLearning.UnitTest.SVM
+{
+ [TestClass]
+ public class ClassificationTests
+ {
+ [TestMethod]
+ public void TestTwoClass()
+ {
+ SvmType[] svmTypes = new SvmType[]{SvmType.C_SVC, SvmType.NU_SVC};
+ KernelType[] kernelTypes = new KernelType[]{KernelType.LINEAR, KernelType.POLY, KernelType.RBF, KernelType.SIGMOID};
+
+ foreach (SvmType svm in svmTypes)
+ {
+ foreach (KernelType kernel in kernelTypes)
+ {
+ double score = testTwoClassModel(100, svm, kernel);
+
+ Assert.AreEqual(1, score, .01, string.Format("SVM {0} with Kernel {1} did not train correctly", svm, kernel));
+ }
+ }
+ }
+
+ [TestMethod]
+ public void TestTwoClassProbability()
+ {
+ SvmType[] svmTypes = new SvmType[] { SvmType.C_SVC, SvmType.NU_SVC };
+ KernelType[] kernelTypes = new KernelType[] { KernelType.LINEAR, KernelType.POLY, KernelType.RBF, KernelType.SIGMOID };
+
+ foreach (SvmType svm in svmTypes)
+ {
+ foreach (KernelType kernel in kernelTypes)
+ {
+ double score = testTwoClassModel(100, svm, kernel, true);
+
+ Assert.AreEqual(1, score, .01, string.Format("SVM {0} with Kernel {1} did not train correctly", svm, kernel));
+ }
+ }
+ }
+
+ [TestMethod]
+ public void TestMulticlass()
+ {
+ SvmType[] svmTypes = new SvmType[] { SvmType.C_SVC, SvmType.NU_SVC };
+ KernelType[] kernelTypes = new KernelType[] { KernelType.LINEAR, KernelType.POLY, KernelType.RBF, KernelType.SIGMOID };
+
+ foreach (SvmType svm in svmTypes)
+ {
+ foreach (KernelType kernel in kernelTypes)
+ {
+ double score = testMulticlassModel(8, 100, svm, kernel);
+
+ Assert.AreEqual(1, score, .1, string.Format("SVM {0} with Kernel {1} did not train correctly", svm, kernel));
+ }
+ }
+ }
+
+ [TestMethod]
+ public void TestMulticlassProbability()
+ {
+ SvmType[] svmTypes = new SvmType[] { SvmType.C_SVC, SvmType.NU_SVC };
+ KernelType[] kernelTypes = new KernelType[] { KernelType.LINEAR, KernelType.POLY, KernelType.RBF, KernelType.SIGMOID };
+
+ foreach (SvmType svm in svmTypes)
+ {
+ foreach (KernelType kernel in kernelTypes)
+ {
+ double score = testMulticlassModel(8, 100, svm, kernel, true);
+
+ Assert.AreEqual(1, score, .1, string.Format("SVM {0} with Kernel {1} did not train correctly", svm, kernel));
+ }
+ }
+ }
+
+ private double testTwoClassModel(int count, SvmType svm, KernelType kernel, bool probability = false, string outputFile = null)
+ {
+ Problem train = SVMUtilities.CreateTwoClassProblem(count);
+ Parameter param = new Parameter();
+ RangeTransform transform = RangeTransform.Compute(train);
+ Problem scaled = transform.Scale(train);
+ param.Gamma = .5;
+ param.SvmType = svm;
+ param.KernelType = kernel;
+ param.Probability = probability;
+ if (svm == SvmType.C_SVC)
+ {
+ param.Weights[-1] = 1;
+ param.Weights[1] = 1;
+ }
+
+ Model model = Training.Train(scaled, param);
+
+ Problem test = SVMUtilities.CreateTwoClassProblem(count, false);
+ scaled = transform.Scale(test);
+ return Prediction.Predict(scaled, outputFile, model, false);
+ }
+
+ private double testMulticlassModel(int numberOfClasses, int count, SvmType svm, KernelType kernel, bool probability = false, string outputFile = null)
+ {
+ Problem train = SVMUtilities.CreateMulticlassProblem(numberOfClasses, count);
+ Parameter param = new Parameter();
+ RangeTransform transform = RangeTransform.Compute(train);
+ Problem scaled = transform.Scale(train);
+ param.Gamma = 1.0 / 3;
+ param.SvmType = svm;
+ param.KernelType = kernel;
+ param.Probability = probability;
+ if (svm == SvmType.C_SVC)
+ {
+ for (int i = 0; i < numberOfClasses; i++)
+ param.Weights[i] = 1;
+ }
+
+ Model model = Training.Train(scaled, param);
+
+ Problem test = SVMUtilities.CreateMulticlassProblem(numberOfClasses, count, false);
+ scaled = transform.Scale(test);
+ return Prediction.Predict(scaled, outputFile, model, false);
+ }
+ }
+}
diff --git a/BotSharp.MachineLearning.UnitTest/SVM/IOTests.cs b/BotSharp.MachineLearning.UnitTest/SVM/IOTests.cs
new file mode 100644
index 00000000..09b468b2
--- /dev/null
+++ b/BotSharp.MachineLearning.UnitTest/SVM/IOTests.cs
@@ -0,0 +1,76 @@
+using System;
+using Microsoft.VisualStudio.TestTools.UnitTesting;
+using SVM;
+using System.Linq;
+using System.IO;
+using System.Text;
+using SVM.BotSharp.MachineLearning;
+using SVM.BotSharp.MachineLearningTest;
+
+namespace BotSharp.MachineLearning.UnitTest.SVM
+{
+ [TestClass]
+ public class IOTests
+ {
+ [TestMethod]
+ public void ReadProblem()
+ {
+ Problem expected = SVMUtilities.CreateTwoClassProblem(100);
+ Problem actual = Problem.Read("train0.problem");
+
+ Assert.AreEqual(expected, actual);
+ }
+
+ [TestMethod]
+ public void WriteProblem()
+ {
+ Problem prob = SVMUtilities.CreateTwoClassProblem(100);
+ using (MemoryStream stream = new MemoryStream())
+ using (StreamReader input = new StreamReader("train0.problem"))
+ {
+ Problem.Write(stream, prob);
+ string expected = input.ReadToEnd().Replace("\r\n", "\n");
+ string actual = Encoding.ASCII.GetString(stream.ToArray());
+ Assert.AreEqual(expected, actual);
+ }
+ }
+
+ [TestMethod]
+ public void ReadModel()
+ {
+ Problem train = SVMUtilities.CreateTwoClassProblem(100);
+ Parameter param = new Parameter();
+ RangeTransform transform = RangeTransform.Compute(train);
+ Problem scaled = transform.Scale(train);
+ param.KernelType = KernelType.LINEAR;
+
+ Training.SetRandomSeed(SVMUtilities.TRAINING_SEED);
+ Model expected = Training.Train(scaled, param);
+ Model actual = Model.Read("svm0.model");
+
+ Assert.AreEqual(expected, actual);
+ }
+
+ [TestMethod]
+ public void WriteModel()
+ {
+ Problem train = SVMUtilities.CreateTwoClassProblem(100);
+ Parameter param = new Parameter();
+ RangeTransform transform = RangeTransform.Compute(train);
+ Problem scaled = transform.Scale(train);
+ param.KernelType = KernelType.LINEAR;
+
+ Training.SetRandomSeed(SVMUtilities.TRAINING_SEED);
+ Model model = Training.Train(scaled, param);
+
+ using (MemoryStream stream = new MemoryStream())
+ using (StreamReader input = new StreamReader("svm0.model"))
+ {
+ Model.Write(stream, model);
+ string expected = input.ReadToEnd().Replace("\r\n", "\n");
+ string actual = Encoding.ASCII.GetString(stream.ToArray());
+ Assert.AreEqual(expected, actual);
+ }
+ }
+ }
+}
diff --git a/BotSharp.MachineLearning.UnitTest/SVM/RegressionTests.cs b/BotSharp.MachineLearning.UnitTest/SVM/RegressionTests.cs
new file mode 100644
index 00000000..44e81458
--- /dev/null
+++ b/BotSharp.MachineLearning.UnitTest/SVM/RegressionTests.cs
@@ -0,0 +1,48 @@
+using System;
+using Microsoft.VisualStudio.TestTools.UnitTesting;
+using SVM;
+using SVM.BotSharp.MachineLearning;
+using SVM.BotSharp.MachineLearningTest;
+
+namespace BotSharp.MachineLearning.UnitTest.SVM
+{
+ [TestClass]
+ public class RegressionTests
+ {
+ [TestMethod]
+ public void TestRegression()
+ {
+ SvmType[] svmTypes = new SvmType[] { SvmType.NU_SVR, SvmType.EPSILON_SVR };
+ // LINEAR kernel is pretty horrible for regression
+ KernelType[] kernelTypes = new KernelType[] { KernelType.LINEAR, KernelType.RBF, KernelType.SIGMOID };
+
+ foreach (SvmType svm in svmTypes)
+ {
+ foreach (KernelType kernel in kernelTypes)
+ {
+ double error = testRegressionModel(100, svm, kernel);
+
+ Assert.AreEqual(0, error, 2, string.Format("SVM {0} with Kernel {1} did not train correctly", svm, kernel));
+ }
+ }
+ }
+
+ private double testRegressionModel(int count, SvmType svm, KernelType kernel, string outputFile = null)
+ {
+ Problem train = SVMUtilities.CreateRegressionProblem(count);
+ Parameter param = new Parameter();
+ RangeTransform transform = RangeTransform.Compute(train);
+ Problem scaled = transform.Scale(train);
+ param.Gamma = 1.0 / 2;
+ param.SvmType = svm;
+ param.KernelType = kernel;
+ param.Degree = 2;
+
+ Model model = Training.Train(scaled, param);
+
+ Problem test = SVMUtilities.CreateRegressionProblem(count, false);
+ scaled = transform.Scale(test);
+ return Prediction.Predict(scaled, outputFile, model, false);
+ }
+ }
+}
diff --git a/BotSharp.MachineLearning/CRFLite/CRFDecoder.cs b/BotSharp.MachineLearning/CRFLite/CRFDecoder.cs
index 931ba99e..a0633963 100644
--- a/BotSharp.MachineLearning/CRFLite/CRFDecoder.cs
+++ b/BotSharp.MachineLearning/CRFLite/CRFDecoder.cs
@@ -1,4 +1,22 @@
-using BotSharp.MachineLearning.CRFLite.Decoder;
+/*
+ * BotSharp.NLP Library
+ * Copyright (C) 2018 Haiping Chen
+ *
+ * This program is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation, either version 3 of the License, or
+ * (at your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program. If not, see .
+ */
+
+using BotSharp.MachineLearning.CRFLite.Decoder;
using System;
using System.Collections.Generic;
using System.IO;
@@ -65,7 +83,7 @@ namespace BotSharp.MachineLearning.CRFLite
if (inbuf.Count == 0)
{
//Empty input string
- return BaseUtils.ERROR_SUCCESS;
+ return BaseUtils.RETURN_SUCCESS;
}
ret = tagger.reset();
@@ -94,7 +112,7 @@ namespace BotSharp.MachineLearning.CRFLite
return ret;
}
- return BaseUtils.ERROR_SUCCESS;
+ return BaseUtils.RETURN_SUCCESS;
}
@@ -109,7 +127,7 @@ namespace BotSharp.MachineLearning.CRFLite
if (inbuf.Count == 0)
{
//Empty input string
- return BaseUtils.ERROR_SUCCESS;
+ return BaseUtils.RETURN_SUCCESS;
}
ret = tagger.reset();
@@ -138,7 +156,7 @@ namespace BotSharp.MachineLearning.CRFLite
return ret;
}
- return BaseUtils.ERROR_SUCCESS;
+ return BaseUtils.RETURN_SUCCESS;
}
}
}
diff --git a/BotSharp.MachineLearning/CRFLite/CRFEncoder.cs b/BotSharp.MachineLearning/CRFLite/CRFEncoder.cs
index fb228bb8..6bb93348 100644
--- a/BotSharp.MachineLearning/CRFLite/CRFEncoder.cs
+++ b/BotSharp.MachineLearning/CRFLite/CRFEncoder.cs
@@ -1,4 +1,22 @@
-using BotSharp.MachineLearning.CRFLite.Encoder;
+/*
+ * BotSharp.NLP Library
+ * Copyright (C) 2018 Haiping Chen
+ *
+ * This program is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation, either version 3 of the License, or
+ * (at your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program. If not, see .
+ */
+
+using BotSharp.MachineLearning.CRFLite.Encoder;
using System;
using System.Collections.Generic;
using System.Linq;
diff --git a/BotSharp.MachineLearning/CRFLite/Decoder/DecoderTagger.cs b/BotSharp.MachineLearning/CRFLite/Decoder/DecoderTagger.cs
index 581fa235..f5f3fa1b 100644
--- a/BotSharp.MachineLearning/CRFLite/Decoder/DecoderTagger.cs
+++ b/BotSharp.MachineLearning/CRFLite/Decoder/DecoderTagger.cs
@@ -149,7 +149,7 @@ namespace BotSharp.MachineLearning.CRFLite.Decoder
}
}
- return BaseUtils.ERROR_SUCCESS;
+ return BaseUtils.RETURN_SUCCESS;
}
public int initNbest()
@@ -164,10 +164,10 @@ namespace BotSharp.MachineLearning.CRFLite.Decoder
eos.next = null;
if (BaseUtils.heap_insert(eos, heap_queue) < 0)
{
- return BaseUtils.ERROR_INSERT_HEAP_FAILED;
+ return BaseUtils.RETURN_INSERT_HEAP_FAILED;
}
}
- return BaseUtils.ERROR_SUCCESS;
+ return BaseUtils.RETURN_SUCCESS;
}
public int next()
@@ -199,7 +199,7 @@ namespace BotSharp.MachineLearning.CRFLite.Decoder
n.next = top;
if (BaseUtils.heap_insert(n, heap_queue) < 0)
{
- return BaseUtils.ERROR_INSERT_HEAP_FAILED;
+ return BaseUtils.RETURN_INSERT_HEAP_FAILED;
}
}
}
@@ -212,7 +212,7 @@ namespace BotSharp.MachineLearning.CRFLite.Decoder
Z_ = cost_ = 0.0;
BaseUtils.heap_reset(heap_queue);
- return BaseUtils.ERROR_SUCCESS;
+ return BaseUtils.RETURN_SUCCESS;
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
@@ -235,7 +235,7 @@ namespace BotSharp.MachineLearning.CRFLite.Decoder
}
}
- return BaseUtils.ERROR_SUCCESS;
+ return BaseUtils.RETURN_SUCCESS;
}
public int add(List> row_p)
@@ -243,7 +243,7 @@ namespace BotSharp.MachineLearning.CRFLite.Decoder
x_ = row_p;
word_num = (short)x_.Count;
- return BaseUtils.ERROR_SUCCESS;
+ return BaseUtils.RETURN_SUCCESS;
}
@@ -270,7 +270,7 @@ namespace BotSharp.MachineLearning.CRFLite.Decoder
break;
}
}
- return BaseUtils.ERROR_SUCCESS;
+ return BaseUtils.RETURN_SUCCESS;
}
//Label input string. The result is saved as result []
@@ -282,7 +282,7 @@ namespace BotSharp.MachineLearning.CRFLite.Decoder
//no word need to be labeled
if (word_num == 0)
{
- return BaseUtils.ERROR_SUCCESS;
+ return BaseUtils.RETURN_SUCCESS;
}
//building feature set
@@ -326,7 +326,7 @@ namespace BotSharp.MachineLearning.CRFLite.Decoder
}
- return BaseUtils.ERROR_SUCCESS;
+ return BaseUtils.RETURN_SUCCESS;
}
@@ -334,7 +334,7 @@ namespace BotSharp.MachineLearning.CRFLite.Decoder
{
if (word_num <= 0)
{
- return BaseUtils.ERROR_INVALIDATED_PARAMETER;
+ return BaseUtils.RETURN_INVALIDATED_PARAMETER;
}
using (var v = _buildersPool.GetOrCreate())
{
@@ -351,7 +351,7 @@ namespace BotSharp.MachineLearning.CRFLite.Decoder
var res = featureIndex.apply_rule(templ, cur, builder, this);
if (res == null)
{
- return BaseUtils.ERROR_EMPTY_FEATURE;
+ return BaseUtils.RETURN_EMPTY_FEATURE;
}
id = featureIndex.get_id(res.ToString());
if (id != -1)
@@ -373,7 +373,7 @@ namespace BotSharp.MachineLearning.CRFLite.Decoder
var strFeature = featureIndex.apply_rule(templ, cur, builder, this);
if (strFeature == null)
{
- return BaseUtils.ERROR_EMPTY_FEATURE;
+ return BaseUtils.RETURN_EMPTY_FEATURE;
}
id = featureIndex.get_id(strFeature.ToString());
@@ -387,7 +387,7 @@ namespace BotSharp.MachineLearning.CRFLite.Decoder
feature_cache_size++;
}
- return BaseUtils.ERROR_SUCCESS;
+ return BaseUtils.RETURN_SUCCESS;
}
}
@@ -465,7 +465,7 @@ namespace BotSharp.MachineLearning.CRFLite.Decoder
}
}
- return BaseUtils.ERROR_SUCCESS;
+ return BaseUtils.RETURN_SUCCESS;
}
}
}
diff --git a/BotSharp.MachineLearning/CRFLite/Encoder/DefaultFeatureLexicalDict.cs b/BotSharp.MachineLearning/CRFLite/Encoder/DefaultFeatureLexicalDict.cs
index 797d27da..6d234329 100644
--- a/BotSharp.MachineLearning/CRFLite/Encoder/DefaultFeatureLexicalDict.cs
+++ b/BotSharp.MachineLearning/CRFLite/Encoder/DefaultFeatureLexicalDict.cs
@@ -92,7 +92,7 @@ namespace BotSharp.MachineLearning.CRFLite.Encoder
return pair.Key;
}
- return BaseUtils.ERROR_INVALIDATED_FEATURE;
+ return BaseUtils.RETURN_INVALIDATED_FEATURE;
}
public long GetOrAddId(string key)
diff --git a/BotSharp.MachineLearning/CRFLite/SegDecoderTagger.cs b/BotSharp.MachineLearning/CRFLite/SegDecoderTagger.cs
index d623dc97..bddf573b 100644
--- a/BotSharp.MachineLearning/CRFLite/SegDecoderTagger.cs
+++ b/BotSharp.MachineLearning/CRFLite/SegDecoderTagger.cs
@@ -19,7 +19,7 @@ namespace BotSharp.MachineLearning.CRFLite
//build raw result at first
var iRet = termbuf_build(term_buf);
- if (iRet != BaseUtils.ERROR_SUCCESS)
+ if (iRet != BaseUtils.RETURN_SUCCESS)
{
return iRet;
}
@@ -82,7 +82,7 @@ namespace BotSharp.MachineLearning.CRFLite
}
- return BaseUtils.ERROR_SUCCESS;
+ return BaseUtils.RETURN_SUCCESS;
}
@@ -125,7 +125,7 @@ namespace BotSharp.MachineLearning.CRFLite
}
}
- return BaseUtils.ERROR_SUCCESS;
+ return BaseUtils.RETURN_SUCCESS;
}
}
}
diff --git a/BotSharp.MachineLearning/CRFLite/Tagger.cs b/BotSharp.MachineLearning/CRFLite/Tagger.cs
index 94f81824..ac5b83f8 100644
--- a/BotSharp.MachineLearning/CRFLite/Tagger.cs
+++ b/BotSharp.MachineLearning/CRFLite/Tagger.cs
@@ -70,7 +70,7 @@ namespace BotSharp.MachineLearning.CRFLite
cost_ = -node_[s, result_[s]].bestCost;
- return BaseUtils.ERROR_SUCCESS;
+ return BaseUtils.RETURN_SUCCESS;
}
private void calcAlpha(int m, int n)
diff --git a/BotSharp.MachineLearning/CRFLite/Utils.cs b/BotSharp.MachineLearning/CRFLite/Utils.cs
index 90d85fb8..3376f6d3 100644
--- a/BotSharp.MachineLearning/CRFLite/Utils.cs
+++ b/BotSharp.MachineLearning/CRFLite/Utils.cs
@@ -32,16 +32,15 @@ namespace BotSharp.MachineLearning.CRFLite
public const int MODEL_TYPE_NORM = 100;
-
- public const int ERROR_INVALIDATED_FEATURE = -8;
- public const int ERROR_HEAP_SIZE_TOO_BIG = -7;
- public const int ERROR_INSERT_HEAP_FAILED = -6;
- public const int ERROR_EMPTY_FEATURE = -5;
- public const int ERROR_INVALIDATED_PARAMETER = -4;
- public const int ERROR_WRONG_STATUS = -3;
- public const int ERROR_TOO_LONG_WORD = -2;
- public const int ERROR_UNKNOWN = -1;
- public const int ERROR_SUCCESS = 0;
+ public const int RETURN_INVALIDATED_FEATURE = -8;
+ public const int RETURN_HEAP_SIZE_TOO_BIG = -7;
+ public const int RETURN_INSERT_HEAP_FAILED = -6;
+ public const int RETURN_EMPTY_FEATURE = -5;
+ public const int RETURN_INVALIDATED_PARAMETER = -4;
+ public const int RETURN_WRONG_STATUS = -3;
+ public const int RETURN_TOO_LONG_WORD = -2;
+ public const int RETURN_UNKNOWN = -1;
+ public const int RETURN_SUCCESS = 0;
public static Heap heap_init(int max_size)
{
@@ -82,7 +81,7 @@ namespace BotSharp.MachineLearning.CRFLite
{
if (H.size >= H.capacity)
{
- return BaseUtils.ERROR_HEAP_SIZE_TOO_BIG;
+ return BaseUtils.RETURN_HEAP_SIZE_TOO_BIG;
}
var i = ++H.size;
while (i != 1 && H.elem_ptr_list[i / 2].fx > qe.fx)
diff --git a/BotSharp.MachineLearning/SVM/Cache.cs b/BotSharp.MachineLearning/SVM/Cache.cs
new file mode 100644
index 00000000..9fbf4931
--- /dev/null
+++ b/BotSharp.MachineLearning/SVM/Cache.cs
@@ -0,0 +1,161 @@
+/*
+ * SVM.NET Library
+ * Copyright (C) 2008 Matthew Johnson
+ *
+ * This program is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation, either version 3 of the License, or
+ * (at your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program. If not, see .
+ */
+
+
+using System;
+
+namespace SVM.BotSharp.MachineLearning
+{
+ internal class Cache
+ {
+ private int _count;
+ private long _size;
+
+ private sealed class head_t
+ {
+ public head_t(Cache enclosingInstance)
+ {
+ _enclosingInstance = enclosingInstance;
+ }
+ private Cache _enclosingInstance;
+ public Cache EnclosingInstance
+ {
+ get
+ {
+ return _enclosingInstance;
+ }
+ }
+ internal head_t prev, next; // a cicular list
+ internal float[] data;
+ internal int len; // data[0,len) is cached in this entry
+ }
+
+ private head_t[] head;
+ private head_t lru_head;
+
+ public Cache(int count, long size)
+ {
+ _count = count;
+ _size = size;
+ head = new head_t[_count];
+ for (int i = 0; i < _count; i++)
+ head[i] = new head_t(this);
+ _size /= 4;
+ _size -= _count * (16 / 4); // sizeof(head_t) == 16
+ lru_head = new head_t(this);
+ lru_head.next = lru_head.prev = lru_head;
+ }
+
+ private void lru_delete(head_t h)
+ {
+ // delete from current location
+ h.prev.next = h.next;
+ h.next.prev = h.prev;
+ }
+
+ private void lru_insert(head_t h)
+ {
+ // insert to last position
+ h.next = lru_head;
+ h.prev = lru_head.prev;
+ h.prev.next = h;
+ h.next.prev = h;
+ }
+
+ private static void swap(ref T lhs, ref T rhs)
+ {
+ T tmp = lhs;
+ lhs = rhs;
+ rhs = tmp;
+ }
+
+ // request data [0,len)
+ // return some position p where [p,len) need to be filled
+ // (p >= len if nothing needs to be filled)
+ // java: simulate pointer using single-element array
+ public int GetData(int index, out float[] data, int len)
+ {
+ head_t h = head[index];
+ if (h.len > 0)
+ lru_delete(h);
+ int more = len - h.len;
+
+ if (more > 0)
+ {
+ // free old space
+ while (_size < more)
+ {
+ head_t old = lru_head.next;
+ lru_delete(old);
+ _size += old.len;
+ old.data = null;
+ old.len = 0;
+ }
+
+ // allocate new space
+ float[] new_data = new float[len];
+ if (h.data != null)
+ Array.Copy(h.data, 0, new_data, 0, h.len);
+ h.data = new_data;
+ _size -= more;
+ swap(ref h.len, ref len);
+ }
+
+ lru_insert(h);
+ data = h.data;
+ return len;
+ }
+
+ public void SwapIndex(int i, int j)
+ {
+ if (i == j)
+ return;
+
+ if (head[i].len > 0)
+ lru_delete(head[i]);
+ if (head[j].len > 0)
+ lru_delete(head[j]);
+ swap(ref head[i].data, ref head[j].data);
+ swap(ref head[i].len, ref head[j].len);
+ if (head[i].len > 0)
+ lru_insert(head[i]);
+ if (head[j].len > 0)
+ lru_insert(head[j]);
+
+ if (i > j)
+ swap(ref i, ref j);
+
+ for (head_t h = lru_head.next; h != lru_head; h = h.next)
+ {
+ if (h.len > i)
+ {
+ if (h.len > j)
+ swap(ref h.data[i], ref h.data[j]);
+ else
+ {
+ // give up
+ lru_delete(h);
+ _size += h.len;
+ h.data = null;
+ h.len = 0;
+ }
+ }
+ }
+ }
+ }
+}
diff --git a/BotSharp.MachineLearning/SVM/GaussianTransform.cs b/BotSharp.MachineLearning/SVM/GaussianTransform.cs
new file mode 100644
index 00000000..0b9b10b9
--- /dev/null
+++ b/BotSharp.MachineLearning/SVM/GaussianTransform.cs
@@ -0,0 +1,209 @@
+/*
+ * SVM.NET Library
+ * Copyright (C) 2008 Matthew Johnson
+ *
+ * This program is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation, either version 3 of the License, or
+ * (at your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program. If not, see .
+ */
+
+
+using System;
+using System.Collections.Generic;
+using System.IO;
+using System.Globalization;
+using System.Threading;
+
+namespace SVM.BotSharp.MachineLearning
+{
+ ///
+ /// A transform which learns the mean and variance of a sample set and uses these to transform new data
+ /// so that it has zero mean and unit variance.
+ ///
+ public class GaussianTransform : IRangeTransform
+ {
+ private double[] _means;
+ private double[] _stddevs;
+
+ ///
+ /// Determines the Gaussian transform for the provided problem.
+ ///
+ /// The Problem to analyze
+ /// The Gaussian transform for the problem
+ public static GaussianTransform Compute(Problem prob)
+ {
+ int[] counts = new int[prob.MaxIndex];
+ double[] means = new double[prob.MaxIndex];
+ foreach (Node[] sample in prob.X)
+ {
+ for (int i = 0; i < sample.Length; i++)
+ {
+ means[sample[i].Index-1] += sample[i].Value;
+ counts[sample[i].Index-1]++;
+ }
+ }
+ for (int i = 0; i < prob.MaxIndex; i++)
+ {
+ if (counts[i] == 0)
+ counts[i] = 2;
+ means[i] /= counts[i];
+ }
+
+ double[] stddevs = new double[prob.MaxIndex];
+ foreach (Node[] sample in prob.X)
+ {
+ for (int i = 0; i < sample.Length; i++)
+ {
+ double diff = sample[i].Value - means[sample[i].Index - 1];
+ stddevs[sample[i].Index - 1] += diff * diff;
+ }
+ }
+ for (int i = 0; i < prob.MaxIndex; i++)
+ {
+ if (stddevs[i] == 0)
+ continue;
+ stddevs[i] /= (counts[i] - 1);
+ stddevs[i] = Math.Sqrt(stddevs[i]);
+ }
+
+ return new GaussianTransform(means, stddevs);
+ }
+
+ ///
+ /// Constructor.
+ ///
+ /// Means in each dimension
+ /// Standard deviation in each dimension
+ public GaussianTransform(double[] means, double[] stddevs)
+ {
+ _means = means;
+ _stddevs = stddevs;
+ }
+
+ ///
+ /// Saves the transform to the disk. The samples are not stored, only the
+ /// statistics.
+ ///
+ /// The destination stream
+ /// The transform
+ public static void Write(Stream stream, GaussianTransform transform)
+ {
+ TemporaryCulture.Start();
+
+ StreamWriter output = new StreamWriter(stream);
+ output.WriteLine(transform._means.Length);
+ for (int i = 0; i < transform._means.Length; i++)
+ output.WriteLine("{0} {1}", transform._means[i], transform._stddevs[i]);
+ output.Flush();
+
+ TemporaryCulture.Stop();
+ }
+
+ ///
+ /// Reads a GaussianTransform from the provided stream.
+ ///
+ /// The source stream
+ /// The transform
+ public static GaussianTransform Read(Stream stream)
+ {
+ TemporaryCulture.Start();
+
+ StreamReader input = new StreamReader(stream);
+ int length = int.Parse(input.ReadLine(), CultureInfo.InvariantCulture);
+ double[] means = new double[length];
+ double[] stddevs = new double[length];
+ for (int i = 0; i < length; i++)
+ {
+ string[] parts = input.ReadLine().Split();
+ means[i] = double.Parse(parts[0], CultureInfo.InvariantCulture);
+ stddevs[i] = double.Parse(parts[1], CultureInfo.InvariantCulture);
+ }
+
+ TemporaryCulture.Stop();
+
+ return new GaussianTransform(means, stddevs);
+ }
+
+ ///
+ /// Saves the transform to the disk. The samples are not stored, only the
+ /// statistics.
+ ///
+ /// The destination filename
+ /// The transform
+ public static void Write(string filename, GaussianTransform transform)
+ {
+ FileStream output = File.Open(filename, FileMode.Create);
+ try
+ {
+ Write(output, transform);
+ }
+ finally
+ {
+ output.Close();
+ }
+ }
+
+ ///
+ /// Reads a GaussianTransform from the provided stream.
+ ///
+ /// The source filename
+ /// The transform
+ public static GaussianTransform Read(string filename)
+ {
+ FileStream input = File.Open(filename, FileMode.Open);
+ try
+ {
+ return Read(input);
+ }
+ finally
+ {
+ input.Close();
+ }
+ }
+
+ #region IRangeTransform Members
+
+ ///
+ /// Transform the input value using the transform stored for the provided index.
+ ///
+ /// Input value
+ /// Index of the transform to use
+ /// The transformed value
+ public double Transform(double input, int index)
+ {
+ index--;
+ if (_stddevs[index] == 0)
+ return 0;
+ double diff = input - _means[index];
+ diff /= _stddevs[index];
+ return diff;
+ }
+ ///
+ /// Transforms the input array.
+ ///
+ /// The array to transform
+ /// The transformed array
+ public Node[] Transform(Node[] input)
+ {
+ Node[] output = new Node[input.Length];
+ for (int i = 0; i < output.Length; i++)
+ {
+ int index = input[i].Index;
+ double value = input[i].Value;
+ output[i] = new Node(index, Transform(value, index));
+ }
+ return output;
+ }
+
+ #endregion
+ }
+}
diff --git a/BotSharp.MachineLearning/SVM/IRangeTransform.cs b/BotSharp.MachineLearning/SVM/IRangeTransform.cs
new file mode 100644
index 00000000..45f9930e
--- /dev/null
+++ b/BotSharp.MachineLearning/SVM/IRangeTransform.cs
@@ -0,0 +1,41 @@
+/*
+ * SVM.NET Library
+ * Copyright (C) 2008 Matthew Johnson
+ *
+ * This program is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation, either version 3 of the License, or
+ * (at your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program. If not, see .
+ */
+
+
+namespace SVM.BotSharp.MachineLearning
+{
+ ///
+ /// Interface implemented by range transforms.
+ ///
+ public interface IRangeTransform
+ {
+ ///
+ /// Transform the input value using the transform stored for the provided index.
+ ///
+ /// Input value
+ /// Index of the transform to use
+ /// The transformed value
+ double Transform(double input, int index);
+ ///
+ /// Transforms the input array.
+ ///
+ /// The array to transform
+ /// The transformed array
+ Node[] Transform(Node[] input);
+ }
+}
diff --git a/BotSharp.MachineLearning/SVM/Kernel.cs b/BotSharp.MachineLearning/SVM/Kernel.cs
new file mode 100644
index 00000000..73d05d93
--- /dev/null
+++ b/BotSharp.MachineLearning/SVM/Kernel.cs
@@ -0,0 +1,226 @@
+using System;
+using System.Collections.Generic;
+using System.Linq;
+using System.Text;
+
+namespace SVM.BotSharp.MachineLearning
+{
+ internal interface IQMatrix
+ {
+ float[] GetQ(int column, int len);
+ double[] GetQD();
+ void SwapIndex(int i, int j);
+ }
+
+ internal abstract class Kernel : IQMatrix
+ {
+ private Node[][] _x;
+ private double[] _xSquare;
+
+ private KernelType _kernelType;
+ private int _degree;
+ private double _gamma;
+ private double _coef0;
+
+ public abstract float[] GetQ(int column, int len);
+ public abstract double[] GetQD();
+
+ public virtual void SwapIndex(int i, int j)
+ {
+ _x.SwapIndex(i, j);
+
+ if (_xSquare != null)
+ {
+ _xSquare.SwapIndex(i, j);
+ }
+ }
+
+ private static double powi(double value, int times)
+ {
+ double tmp = value, ret = 1.0;
+
+ for (int t = times; t > 0; t /= 2)
+ {
+ if (t % 2 == 1) ret *= tmp;
+ tmp = tmp * tmp;
+ }
+ return ret;
+ }
+
+ public double KernelFunction(int i, int j)
+ {
+ switch (_kernelType)
+ {
+ case KernelType.LINEAR:
+ return dot(_x[i], _x[j]);
+ case KernelType.POLY:
+ return powi(_gamma * dot(_x[i], _x[j]) + _coef0, _degree);
+ case KernelType.RBF:
+ return Math.Exp(-_gamma * (_xSquare[i] + _xSquare[j] - 2 * dot(_x[i], _x[j])));
+ case KernelType.SIGMOID:
+ return Math.Tanh(_gamma * dot(_x[i], _x[j]) + _coef0);
+ case KernelType.PRECOMPUTED:
+ return _x[i][(int)(_x[j][0].Value)].Value;
+ default:
+ return 0;
+ }
+ }
+
+ public Kernel(int l, Node[][] x_, Parameter param)
+ {
+ _kernelType = param.KernelType;
+ _degree = param.Degree;
+ _gamma = param.Gamma;
+ _coef0 = param.Coefficient0;
+
+ _x = (Node[][])x_.Clone();
+
+ if (_kernelType == KernelType.RBF)
+ {
+ _xSquare = new double[l];
+ for (int i = 0; i < l; i++)
+ _xSquare[i] = dot(_x[i], _x[i]);
+ }
+ else _xSquare = null;
+ }
+
+ private static double dot(Node[] xNodes, Node[] yNodes)
+ {
+ double sum = 0;
+ int xlen = xNodes.Length;
+ int ylen = yNodes.Length;
+ int i = 0;
+ int j = 0;
+ Node x = xNodes[0];
+ Node y = yNodes[0];
+ while (true)
+ {
+ if (x._index == y._index)
+ {
+ sum += x._value * y._value;
+ i++;
+ j++;
+ if (i < xlen && j < ylen)
+ {
+ x = xNodes[i];
+ y = yNodes[j];
+ }
+ else if (i < xlen)
+ {
+ x = xNodes[i];
+ break;
+ }
+ else if (j < ylen)
+ {
+ y = yNodes[j];
+ break;
+ }
+ else break;
+ }
+ else
+ {
+ if (x._index > y._index)
+ {
+ ++j;
+ if (j < ylen)
+ y = yNodes[j];
+ else break;
+ }
+ else
+ {
+ ++i;
+ if (i < xlen)
+ x = xNodes[i];
+ else break;
+ }
+ }
+ }
+ return sum;
+ }
+
+ private static double computeSquaredDistance(Node[] xNodes, Node[] yNodes)
+ {
+ Node x = xNodes[0];
+ Node y = yNodes[0];
+ int xLength = xNodes.Length;
+ int yLength = yNodes.Length;
+ int xIndex = 0;
+ int yIndex = 0;
+ double sum = 0;
+
+ while (true)
+ {
+ if (x._index == y._index)
+ {
+ double d = x._value - y._value;
+ sum += d * d;
+ xIndex++;
+ yIndex++;
+ if (xIndex < xLength && yIndex < yLength)
+ {
+ x = xNodes[xIndex];
+ y = yNodes[yIndex];
+ }
+ else if(xIndex < xLength){
+ x = xNodes[xIndex];
+ break;
+ }
+ else if(yIndex < yLength){
+ y = yNodes[yIndex];
+ break;
+ }else break;
+ }
+ else if (x._index > y._index)
+ {
+ sum += y._value * y._value;
+ if (++yIndex < yLength)
+ y = yNodes[yIndex];
+ else break;
+ }
+ else
+ {
+ sum += x._value * x._value;
+ if (++xIndex < xLength)
+ x = xNodes[xIndex];
+ else break;
+ }
+ }
+
+ for (; xIndex < xLength; xIndex++)
+ {
+ double d = xNodes[xIndex]._value;
+ sum += d * d;
+ }
+
+ for (; yIndex < yLength; yIndex++)
+ {
+ double d = yNodes[yIndex]._value;
+ sum += d * d;
+ }
+
+ return sum;
+ }
+
+ public static double KernelFunction(Node[] x, Node[] y, Parameter param)
+ {
+ switch (param.KernelType)
+ {
+ case KernelType.LINEAR:
+ return dot(x, y);
+ case KernelType.POLY:
+ return powi(param.Degree * dot(x, y) + param.Coefficient0, param.Degree);
+ case KernelType.RBF:
+ {
+ double sum = computeSquaredDistance(x, y);
+ return Math.Exp(-param.Gamma * sum);
+ }
+ case KernelType.SIGMOID:
+ return Math.Tanh(param.Gamma * dot(x, y) + param.Coefficient0);
+ case KernelType.PRECOMPUTED:
+ return x[(int)(y[0].Value)].Value;
+ default:
+ return 0;
+ }
+ }
+ }
+}
diff --git a/BotSharp.MachineLearning/SVM/Model.cs b/BotSharp.MachineLearning/SVM/Model.cs
new file mode 100644
index 00000000..25600151
--- /dev/null
+++ b/BotSharp.MachineLearning/SVM/Model.cs
@@ -0,0 +1,420 @@
+/*
+ * SVM.NET Library
+ * Copyright (C) 2008 Matthew Johnson
+ *
+ * This program is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation, either version 3 of the License, or
+ * (at your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program. If not, see .
+ */
+
+
+
+using System;
+using System.IO;
+using System.Threading;
+using System.Globalization;
+
+namespace SVM.BotSharp.MachineLearning
+{
+ ///
+ /// Encapsulates an SVM Model.
+ ///
+ [Serializable]
+ public class Model
+ {
+ internal Model()
+ {
+ }
+
+ ///
+ /// Parameter object.
+ ///
+ public Parameter Parameter{get;set;}
+
+ ///
+ /// Number of classes in the model.
+ ///
+ public int NumberOfClasses{get;set;}
+
+ ///
+ /// Total number of support vectors.
+ ///
+ public int SupportVectorCount { get; set; }
+
+ ///
+ /// The support vectors.
+ ///
+ public Node[][] SupportVectors{get;set;}
+
+ ///
+ /// The coefficients for the support vectors.
+ ///
+ public double[][] SupportVectorCoefficients{get;set;}
+
+ ///
+ /// Values in [1,...,num_training_data] to indicate SVs in the training set
+ ///
+ public int[] SupportVectorIndices { get; set; }
+
+ ///
+ /// Constants in decision functions
+ ///
+ public double[] Rho{get;set;}
+
+ ///
+ /// First pairwise probability.
+ ///
+ public double[] PairwiseProbabilityA{get;set;}
+
+ ///
+ /// Second pairwise probability.
+ ///
+ public double[] PairwiseProbabilityB{get;set;}
+
+ // for classification only
+
+ ///
+ /// Class labels.
+ ///
+ public int[] ClassLabels{get;set;}
+
+ ///
+ /// Number of support vectors per class.
+ ///
+ public int[] NumberOfSVPerClass{get;set;}
+
+ public override bool Equals(object obj)
+ {
+ Model test = obj as Model;
+ if (test == null)
+ return false;
+
+ bool same = ClassLabels.IsEqual(test.ClassLabels);
+ same = same && NumberOfClasses == test.NumberOfClasses;
+ same = same && NumberOfSVPerClass.IsEqual(test.NumberOfSVPerClass);
+ if(PairwiseProbabilityA != null)
+ same = same && PairwiseProbabilityA.IsEqual(test.PairwiseProbabilityA);
+ if(PairwiseProbabilityB != null)
+ same = same && PairwiseProbabilityB.IsEqual(test.PairwiseProbabilityB);
+ same = same && Parameter.Equals(test.Parameter);
+ same = same && Rho.IsEqual(test.Rho);
+ same = same && SupportVectorCoefficients.IsEqual(test.SupportVectorCoefficients);
+ same = same && SupportVectorCount == test.SupportVectorCount;
+ same = same && SupportVectors.IsEqual(test.SupportVectors);
+ return same;
+ }
+
+ public override int GetHashCode()
+ {
+ return ClassLabels.ComputeHashcode() +
+ NumberOfClasses.GetHashCode() +
+ NumberOfSVPerClass.ComputeHashcode() +
+ PairwiseProbabilityA.ComputeHashcode() +
+ PairwiseProbabilityB.ComputeHashcode() +
+ Parameter.GetHashCode() +
+ Rho.ComputeHashcode() +
+ SupportVectorCoefficients.ComputeHashcode() +
+ SupportVectorCount.GetHashCode() +
+ SupportVectors.ComputeHashcode();
+ }
+
+ ///
+ /// Reads a Model from the provided file.
+ ///
+ /// The name of the file containing the Model
+ /// the Model
+ public static Model Read(string filename)
+ {
+ FileStream input = File.OpenRead(filename);
+ try
+ {
+ return Read(input);
+ }
+ finally
+ {
+ input.Close();
+ }
+ }
+
+ ///
+ /// Reads a Model from the provided stream.
+ ///
+ /// The stream from which to read the Model.
+ /// the Model
+ public static Model Read(Stream stream)
+ {
+ TemporaryCulture.Start();
+
+ StreamReader input = new StreamReader(stream);
+
+ // read parameters
+
+ Model model = new Model();
+ Parameter param = new Parameter();
+ model.Parameter = param;
+ model.Rho = null;
+ model.PairwiseProbabilityA = null;
+ model.PairwiseProbabilityB = null;
+ model.ClassLabels = null;
+ model.NumberOfSVPerClass = null;
+
+ bool headerFinished = false;
+ while (!headerFinished)
+ {
+ string line = input.ReadLine();
+ string cmd, arg;
+ int splitIndex = line.IndexOf(' ');
+ if (splitIndex >= 0)
+ {
+ cmd = line.Substring(0, splitIndex);
+ arg = line.Substring(splitIndex + 1);
+ }
+ else
+ {
+ cmd = line;
+ arg = "";
+ }
+ arg = arg.ToLower();
+
+ int i,n;
+ switch(cmd){
+ case "svm_type":
+ param.SvmType = (SvmType)Enum.Parse(typeof(SvmType), arg.ToUpper());
+ break;
+
+ case "kernel_type":
+ if (arg == "polynomial")
+ arg = "poly";
+ param.KernelType = (KernelType)Enum.Parse(typeof(KernelType), arg.ToUpper());
+ break;
+
+ case "degree":
+ param.Degree = int.Parse(arg);
+ break;
+
+ case "gamma":
+ param.Gamma = double.Parse(arg);
+ break;
+
+ case "coef0":
+ param.Coefficient0 = double.Parse(arg);
+ break;
+
+ case "nr_class":
+ model.NumberOfClasses = int.Parse(arg);
+ break;
+
+ case "total_sv":
+ model.SupportVectorCount = int.Parse(arg);
+ break;
+
+ case "rho":
+ n = model.NumberOfClasses * (model.NumberOfClasses - 1) / 2;
+ model.Rho = new double[n];
+ string[] rhoParts = arg.Split();
+ for(i=0; i
+ /// Writes a model to the provided filename. This will overwrite any previous data in the file.
+ ///
+ /// The desired file
+ /// The Model to write
+ public static void Write(string filename, Model model)
+ {
+ FileStream stream = File.Open(filename, FileMode.Create);
+ try
+ {
+ Write(stream, model);
+ }
+ finally
+ {
+ stream.Close();
+ }
+ }
+
+ ///
+ /// Writes a model to the provided stream.
+ ///
+ /// The output stream
+ /// The model to write
+ public static void Write(Stream stream, Model model)
+ {
+ TemporaryCulture.Start();
+
+ StreamWriter output = new StreamWriter(stream);
+
+ Parameter param = model.Parameter;
+
+ output.Write("svm_type {0}\n", param.SvmType);
+ output.Write("kernel_type {0}\n", param.KernelType);
+
+ if (param.KernelType == KernelType.POLY)
+ output.Write("degree {0}\n", param.Degree);
+
+ if (param.KernelType == KernelType.POLY || param.KernelType == KernelType.RBF || param.KernelType == KernelType.SIGMOID)
+ output.Write("gamma {0:0.000000}\n", param.Gamma);
+
+ if (param.KernelType == KernelType.POLY || param.KernelType == KernelType.SIGMOID)
+ output.Write("coef0 {0:0.000000}\n", param.Coefficient0);
+
+ int nr_class = model.NumberOfClasses;
+ int l = model.SupportVectorCount;
+ output.Write("nr_class {0}\n", nr_class);
+ output.Write("total_sv {0}\n", l);
+
+ {
+ output.Write("rho");
+ for (int i = 0; i < nr_class * (nr_class - 1) / 2; i++)
+ output.Write(" {0:0.000000}", model.Rho[i]);
+ output.Write("\n");
+ }
+
+ if (model.ClassLabels != null)
+ {
+ output.Write("label");
+ for (int i = 0; i < nr_class; i++)
+ output.Write(" {0}", model.ClassLabels[i]);
+ output.Write("\n");
+ }
+
+ if (model.PairwiseProbabilityA != null)
+ // regression has probA only
+ {
+ output.Write("probA");
+ for (int i = 0; i < nr_class * (nr_class - 1) / 2; i++)
+ output.Write(" {0:0.000000}", model.PairwiseProbabilityA[i]);
+ output.Write("\n");
+ }
+ if (model.PairwiseProbabilityB != null)
+ {
+ output.Write("probB");
+ for (int i = 0; i < nr_class * (nr_class - 1) / 2; i++)
+ output.Write(" {0:0.000000}", model.PairwiseProbabilityB[i]);
+ output.Write("\n");
+ }
+
+ if (model.NumberOfSVPerClass != null)
+ {
+ output.Write("nr_sv");
+ for (int i = 0; i < nr_class; i++)
+ output.Write(" {0}", model.NumberOfSVPerClass[i]);
+ output.Write("\n");
+ }
+
+ output.Write("SV\n");
+ double[][] sv_coef = model.SupportVectorCoefficients;
+ Node[][] SV = model.SupportVectors;
+
+ for (int i = 0; i < l; i++)
+ {
+ for (int j = 0; j < nr_class - 1; j++)
+ output.Write("{0:0.000000} ", sv_coef[j][i]);
+
+ Node[] p = SV[i];
+ if (p.Length == 0)
+ {
+ output.Write("\n");
+ continue;
+ }
+ if (param.KernelType == KernelType.PRECOMPUTED)
+ output.Write("0:{0:0.000000}", (int)p[0].Value);
+ else
+ {
+ output.Write("{0}:{1:0.000000}", p[0].Index, p[0].Value);
+ for (int j = 1; j < p.Length; j++)
+ output.Write(" {0}:{1:0.000000}", p[j].Index, p[j].Value);
+ }
+ output.Write("\n");
+ }
+
+ output.Flush();
+
+ TemporaryCulture.Stop();
+ }
+ }
+}
\ No newline at end of file
diff --git a/BotSharp.MachineLearning/SVM/Node.cs b/BotSharp.MachineLearning/SVM/Node.cs
new file mode 100644
index 00000000..763884af
--- /dev/null
+++ b/BotSharp.MachineLearning/SVM/Node.cs
@@ -0,0 +1,117 @@
+/*
+ * SVM.NET Library
+ * Copyright (C) 2008 Matthew Johnson
+ *
+ * This program is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation, either version 3 of the License, or
+ * (at your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program. If not, see .
+ */
+
+
+using System;
+
+namespace SVM.BotSharp.MachineLearning
+{
+ ///
+ /// Encapsulates a node in a Problem vector, with an index and a value (for more efficient representation
+ /// of sparse data.
+ ///
+ [Serializable]
+ public class Node : IComparable
+ {
+ internal int _index;
+ internal double _value;
+
+ ///
+ /// Default Constructor.
+ ///
+ public Node()
+ {
+ }
+ ///
+ /// Constructor.
+ ///
+ /// The index of the value.
+ /// The value to store.
+ public Node(int index, double value)
+ {
+ _index = index;
+ _value = value;
+ }
+
+ ///
+ /// Index of this Node.
+ ///
+ public int Index
+ {
+ get
+ {
+ return _index;
+ }
+ set
+ {
+ _index = value;
+ }
+ }
+ ///
+ /// Value at Index.
+ ///
+ public double Value
+ {
+ get
+ {
+ return _value;
+ }
+ set
+ {
+ _value = value;
+ }
+ }
+
+ ///
+ /// String representation of this Node as {index}:{value}.
+ ///
+ /// {index}:{value}
+ public override string ToString()
+ {
+ return string.Format("{0}:{1}", _index, _value.Truncate());
+ }
+
+ public override bool Equals(object obj)
+ {
+ Node other = obj as Node;
+ if(other == null)
+ return false;
+
+ return _index == other._index && _value.Truncate() == other._value.Truncate();
+ }
+
+ public override int GetHashCode()
+ {
+ return _index.GetHashCode() + _value.GetHashCode();
+ }
+
+ #region IComparable Members
+
+ ///
+ /// Compares this node with another.
+ ///
+ /// The node to compare to
+ /// A positive number if this node is greater, a negative number if it is less than, or 0 if equal
+ public int CompareTo(Node other)
+ {
+ return _index.CompareTo(other._index);
+ }
+
+ #endregion
+ }
+}
\ No newline at end of file
diff --git a/BotSharp.MachineLearning/SVM/Parameter.cs b/BotSharp.MachineLearning/SVM/Parameter.cs
new file mode 100644
index 00000000..424efb6c
--- /dev/null
+++ b/BotSharp.MachineLearning/SVM/Parameter.cs
@@ -0,0 +1,221 @@
+/*
+ * SVM.NET Library
+ * Copyright (C) 2008 Matthew Johnson
+ *
+ * This program is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation, either version 3 of the License, or
+ * (at your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program. If not, see .
+ */
+
+
+using System;
+using System.Linq;
+using System.Collections.Generic;
+
+namespace SVM.BotSharp.MachineLearning
+{
+ ///
+ /// Contains all of the types of SVM this library can model.
+ ///
+ public enum SvmType {
+ ///
+ /// C-SVC.
+ ///
+ C_SVC,
+ ///
+ /// nu-SVC.
+ ///
+ NU_SVC,
+ ///
+ /// one-class SVM
+ ///
+ ONE_CLASS,
+ ///
+ /// epsilon-SVR
+ ///
+ EPSILON_SVR,
+ ///
+ /// nu-SVR
+ ///
+ NU_SVR
+ };
+ ///
+ /// Contains the various kernel types this library can use.
+ ///
+ public enum KernelType {
+ ///
+ /// Linear: u'*v
+ ///
+ LINEAR,
+ ///
+ /// Polynomial: (gamma*u'*v + coef0)^degree
+ ///
+ POLY,
+ ///
+ /// Radial basis function: exp(-gamma*|u-v|^2)
+ ///
+ RBF,
+ ///
+ /// Sigmoid: tanh(gamma*u'*v + coef0)
+ ///
+ SIGMOID,
+ ///
+ /// Precomputed kernel
+ ///
+ PRECOMPUTED,
+ };
+
+ ///
+ /// This class contains the various parameters which can affect the way in which an SVM
+ /// is learned. Unless you know what you are doing, chances are you are best off using
+ /// the default values.
+ ///
+ [Serializable]
+ public class Parameter : ICloneable
+ {
+ ///
+ /// Default Constructor. Gives good default values to all parameters.
+ ///
+ public Parameter()
+ {
+ SvmType = SvmType.C_SVC;
+ KernelType = KernelType.RBF;
+ Degree = 3;
+ Gamma = 0; // 1/k
+ Coefficient0 = 0;
+ Nu = 0.5;
+ CacheSize = 40;
+ C = 1;
+ EPS = 1e-3;
+ P = 0.1;
+ Shrinking = true;
+ Probability = false;
+ Weights = new Dictionary();
+ }
+
+ ///
+ /// Type of SVM (default C-SVC)
+ ///
+ public SvmType SvmType{get;set;}
+
+ ///
+ /// Type of kernel function (default Polynomial)
+ ///
+ public KernelType KernelType{get;set;}
+
+ ///
+ /// Degree in kernel function (default 3).
+ ///
+ public int Degree{get;set;}
+
+ ///
+ /// Gamma in kernel function (default 1/k)
+ ///
+ public double Gamma{get;set;}
+
+ ///
+ /// Zeroeth coefficient in kernel function (default 0)
+ ///
+ public double Coefficient0{get;set;}
+
+ ///
+ /// Cache memory size in MB (default 100)
+ ///
+ public double CacheSize{get;set;}
+
+ ///
+ /// Tolerance of termination criterion (default 0.001)
+ ///
+ public double EPS{get;set;}
+
+ ///
+ /// The parameter C of C-SVC, epsilon-SVR, and nu-SVR (default 1)
+ ///
+ public double C{get;set;}
+
+ ///
+ /// Contains custom weights for class labels. Default weight value is 1.
+ ///
+ public Dictionary Weights{get; private set;}
+
+ ///
+ /// The parameter nu of nu-SVC, one-class SVM, and nu-SVR (default 0.5)
+ ///
+ public double Nu{get;set;}
+
+ ///
+ /// The epsilon in loss function of epsilon-SVR (default 0.1)
+ ///
+ public double P{get;set;}
+
+ ///
+ /// Whether to use the shrinking heuristics, (default True)
+ ///
+ public bool Shrinking{get;set;}
+
+ ///
+ /// Whether to train an SVC or SVR model for probability estimates, (default False)
+ ///
+ public bool Probability{get;set;}
+
+ public override bool Equals(object obj)
+ {
+ Parameter other = obj as Parameter;
+ if (other == null)
+ return false;
+
+ return other.C == C &&
+ other.CacheSize == CacheSize &&
+ other.Coefficient0 == Coefficient0 &&
+ other.Degree == Degree &&
+ other.EPS == EPS &&
+ other.Gamma == Gamma &&
+ other.KernelType == KernelType &&
+ other.Nu == Nu &&
+ other.P == P &&
+ other.Probability == Probability &&
+ other.Shrinking == Shrinking &&
+ other.SvmType == SvmType &&
+ other.Weights.ToArray().IsEqual(Weights.ToArray());
+ }
+
+ public override int GetHashCode()
+ {
+ return C.GetHashCode() +
+ CacheSize.GetHashCode() +
+ Coefficient0.GetHashCode() +
+ Degree.GetHashCode() +
+ EPS.GetHashCode() +
+ Gamma.GetHashCode() +
+ KernelType.GetHashCode() +
+ Nu.GetHashCode() +
+ P.GetHashCode() +
+ Probability.GetHashCode() +
+ Shrinking.GetHashCode() +
+ SvmType.GetHashCode() +
+ Weights.ToArray().ComputeHashcode();
+ }
+
+
+ #region ICloneable Members
+ ///
+ /// Creates a memberwise clone of this parameters object.
+ ///
+ /// The clone (as type Parameter)
+ public object Clone()
+ {
+ return base.MemberwiseClone();
+ }
+
+ #endregion
+ }
+}
\ No newline at end of file
diff --git a/BotSharp.MachineLearning/SVM/ParameterSelection.cs b/BotSharp.MachineLearning/SVM/ParameterSelection.cs
new file mode 100644
index 00000000..9904dd36
--- /dev/null
+++ b/BotSharp.MachineLearning/SVM/ParameterSelection.cs
@@ -0,0 +1,271 @@
+/*
+ * SVM.NET Library
+ * Copyright (C) 2008 Matthew Johnson
+ *
+ * This program is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation, either version 3 of the License, or
+ * (at your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program. If not, see .
+ */
+
+
+using System;
+using System.Collections.Generic;
+using System.IO;
+using System.Linq;
+using System.Threading;
+using System.Threading.Tasks;
+
+namespace SVM.BotSharp.MachineLearning
+{
+ ///
+ /// Class representing a grid square result.
+ ///
+ public class GridSquare
+ {
+ ///
+ /// The C value
+ ///
+ public double C;
+ ///
+ /// The Gamma value
+ ///
+ public double Gamma;
+ ///
+ /// The cross validation score
+ ///
+ public double Score;
+
+ public override string ToString()
+ {
+ return string.Format("{0} {1} {2}", C, Gamma, Score);
+ }
+ }
+
+ ///
+ /// This class contains routines which perform parameter selection for a model which uses C-SVC and
+ /// an RBF kernel.
+ ///
+ public static class ParameterSelection
+ {
+ ///
+ /// Default number of times to divide the data.
+ ///
+ public const int NFOLD = 5;
+ ///
+ /// Default minimum power of 2 for the C value (-5)
+ ///
+ public const int MIN_C = -5;
+ ///
+ /// Default maximum power of 2 for the C value (15)
+ ///
+ public const int MAX_C = 15;
+ ///
+ /// Default power iteration step for the C value (2)
+ ///
+ public const int C_STEP = 2;
+ ///
+ /// Default minimum power of 2 for the Gamma value (-15)
+ ///
+ public const int MIN_G = -15;
+ ///
+ /// Default maximum power of 2 for the Gamma Value (3)
+ ///
+ public const int MAX_G = 3;
+ ///
+ /// Default power iteration step for the Gamma value (2)
+ ///
+ public const int G_STEP = 2;
+ ///
+ /// Used to control the degree of parallelism used in grid exploration. Default value is the number of processors.
+ ///
+ public static int Threads = Environment.ProcessorCount;
+
+ ///
+ /// Returns a logarithmic list of values from minimum power of 2 to the maximum power of 2 using the provided iteration size.
+ ///
+ /// The minimum power of 2
+ /// The maximum power of 2
+ /// The iteration size to use in powers
+ ///
+ public static List GetList(double minPower, double maxPower, double iteration)
+ {
+ List list = new List();
+ for (double d = minPower; d <= maxPower; d += iteration)
+ list.Add(Math.Pow(2, d));
+ return list;
+ }
+
+ ///
+ /// Performs a Grid parameter selection, trying all possible combinations of the two lists and returning the
+ /// combination which performed best. The default ranges of C and Gamma values are used. Use this method if there is no validation data available, and it will
+ /// divide it 5 times to allow 5-fold validation (training on 4/5 and validating on 1/5, 5 times).
+ ///
+ /// The training data
+ /// The parameters to use when optimizing
+ /// Function used to report results
+ /// The optimal C value will be put into this variable
+ /// The optimal Gamma value will be put into this variable
+ /// A list of grid squares and their results
+ public static List Grid(
+ Problem problem,
+ Func createParams,
+ Action report,
+ out double C,
+ out double Gamma)
+ {
+ return Grid(problem, createParams, GetList(MIN_C, MAX_C, C_STEP), GetList(MIN_G, MAX_G, G_STEP), report, NFOLD, out C, out Gamma);
+ }
+ ///
+ /// Performs a Grid parameter selection, trying all possible combinations of the two lists and returning the
+ /// combination which performed best. Use this method if there is no validation data available, and it will
+ /// divide it 5 times to allow 5-fold validation (training on 4/5 and validating on 1/5, 5 times).
+ ///
+ /// The training data
+ /// The parameters to use when optimizing
+ /// The set of C values to use
+ /// The set of Gamma values to use
+ /// Function used to report results
+ /// The optimal C value will be put into this variable
+ /// The optimal Gamma value will be put into this variable
+ /// A list of grid squares and their results
+ public static List Grid(
+ Problem problem,
+ Func createParams,
+ List CValues,
+ List GammaValues,
+ Action report,
+ out double C,
+ out double Gamma)
+ {
+ return Grid(problem, createParams, CValues, GammaValues, report, NFOLD, out C, out Gamma);
+ }
+
+ ///
+ /// Performs a Grid parameter selection, trying all possible combinations of the two lists and returning the
+ /// combination which performed best. Use this method if validation data isn't available, as it will
+ /// divide the training data and train on a portion of it and test on the rest.
+ ///
+ /// The training data
+ /// The parameters to use when optimizing
+ /// The set of C values to use
+ /// The set of Gamma values to use
+ /// Function used to report results
+ /// The number of times the data should be divided for validation
+ /// The optimal C value will be placed in this variable
+ /// The optimal Gamma value will be placed in this variable
+ /// A list of grid squares and their results
+ public static List Grid(
+ Problem problem,
+ Func createParams,
+ List CValues,
+ List GammaValues,
+ Action report,
+ int nrfold,
+ out double C,
+ out double Gamma)
+ {
+ C = 0;
+ Gamma = 0;
+
+ List squares = new List();
+ foreach (double testC in CValues)
+ foreach (double testGamma in GammaValues)
+ squares.Add(new GridSquare { C = testC, Gamma = testGamma });
+
+ ThreadLocal parameters = new ThreadLocal(() => createParams());
+
+ Parallel.ForEach(squares, new ParallelOptions{MaxDegreeOfParallelism=Threads}, square =>
+ {
+ parameters.Value.C = square.C;
+ parameters.Value.Gamma = square.Gamma;
+ square.Score = Training.PerformCrossValidation(problem, parameters.Value, nrfold);
+ if(report != null)
+ report(square);
+ });
+
+ GridSquare best = squares.OrderByDescending(o => o.Score).First();
+ C = best.C;
+ Gamma = best.Gamma;
+
+ return squares.OrderBy(o => o.C).ThenBy(o => o.Gamma).ToList();
+ }
+ ///
+ /// Performs a Grid parameter selection, trying all possible combinations of the two lists and returning the
+ /// combination which performed best. Uses the default values of C and Gamma.
+ ///
+ /// The training data
+ /// The validation data
+ /// The parameters to use when optimizing
+ /// Function used to report results
+ /// The optimal C value will be placed in this variable
+ /// The optimal Gamma value will be placed in this variable
+ /// A list of grid squares and their results
+ public static List Grid(
+ Problem problem,
+ Problem validation,
+ Func createParams,
+ Action report,
+ out double C,
+ out double Gamma)
+ {
+ return Grid(problem, validation, createParams, GetList(MIN_C, MAX_C, C_STEP), GetList(MIN_G, MAX_G, G_STEP), report, out C, out Gamma);
+ }
+ ///
+ /// Performs a Grid parameter selection, trying all possible combinations of the two lists and returning the
+ /// combination which performed best.
+ ///
+ /// The training data
+ /// The validation data
+ /// The parameters to use when optimizing
+ /// The C values to use
+ /// The Gamma values to use
+ /// Function used to report results
+ /// The optimal C value will be placed in this variable
+ /// The optimal Gamma value will be placed in this variable
+ /// A list of grid squares and their results
+ public static List Grid(
+ Problem problem,
+ Problem validation,
+ Func createParams,
+ List CValues,
+ List GammaValues,
+ Action report,
+ out double C,
+ out double Gamma)
+ {
+ C = 0;
+ Gamma = 0;
+
+ List squares = new List();
+ foreach (double testC in CValues)
+ foreach (double testGamma in GammaValues)
+ squares.Add(new GridSquare { C = testC, Gamma = testGamma });
+ ThreadLocal parameters = new ThreadLocal(() => createParams());
+
+ Parallel.ForEach(squares, new ParallelOptions { MaxDegreeOfParallelism = Threads }, square =>
+ {
+ parameters.Value.C = square.C;
+ parameters.Value.Gamma = square.Gamma;
+ Model model = Training.Train(problem, parameters.Value);
+ square.Score = Prediction.Predict(validation, null, model, false);
+ if (report != null)
+ report(square);
+ });
+
+ GridSquare best = squares.OrderByDescending(o => o.Score).First();
+ C = best.C;
+ Gamma = best.Gamma;
+
+ return squares.OrderBy(o=>o.C).ThenBy(o=>o.Gamma).ToList();
+ }
+ }
+}
diff --git a/BotSharp.MachineLearning/SVM/PerformanceEvaluator.cs b/BotSharp.MachineLearning/SVM/PerformanceEvaluator.cs
new file mode 100644
index 00000000..8fd4a4c4
--- /dev/null
+++ b/BotSharp.MachineLearning/SVM/PerformanceEvaluator.cs
@@ -0,0 +1,415 @@
+/*
+ * SVM.NET Library
+ * Copyright (C) 2008 Matthew Johnson
+ *
+ * This program is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation, either version 3 of the License, or
+ * (at your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program. If not, see .
+ */
+
+
+using System;
+using System.Collections.Generic;
+using System.IO;
+using System.Globalization;
+
+namespace SVM.BotSharp.MachineLearning
+{
+ ///
+ /// Class encoding a member of a ranked set of labels.
+ ///
+ public class RankPair : IComparable
+ {
+ private double _score, _label;
+
+ ///
+ /// Constructor.
+ ///
+ /// Score for this pair
+ /// Label associated with the given score
+ public RankPair(double score, double label)
+ {
+ _score = score;
+ _label = label;
+ }
+
+ ///
+ /// The score for this pair.
+ ///
+ public double Score
+ {
+ get
+ {
+ return _score;
+ }
+ }
+
+ ///
+ /// The Label for this pair.
+ ///
+ public double Label
+ {
+ get
+ {
+ return _label;
+ }
+ }
+
+ #region IComparable Members
+
+ ///
+ /// Compares this pair to another. It will end up in a sorted list in decending score order.
+ ///
+ /// The pair to compare to
+ /// Whether this should come before or after the argument
+ public int CompareTo(RankPair other)
+ {
+ return other.Score.CompareTo(Score);
+ }
+
+ #endregion
+
+ ///
+ /// Returns a string representation of this pair.
+ ///
+ /// A string in the for Score:Label
+ public override string ToString()
+ {
+ return string.Format("{0}:{1}", Score, Label);
+ }
+ }
+
+ ///
+ /// Class encoding the point on a 2D curve.
+ ///
+ public class CurvePoint
+ {
+ private float _x, _y;
+
+ ///
+ /// Constructor.
+ ///
+ /// X coordinate
+ /// Y coordinate
+ public CurvePoint(float x, float y)
+ {
+ _x = x;
+ _y = y;
+ }
+
+ ///
+ /// X coordinate
+ ///
+ public float X
+ {
+ get
+ {
+ return _x;
+ }
+ }
+
+ ///
+ /// Y coordinate
+ ///
+ public float Y
+ {
+ get
+ {
+ return _y;
+ }
+ }
+
+ ///
+ /// Creates a string representation of this point.
+ ///
+ /// string in the form (x, y)
+ public override string ToString()
+ {
+ return string.Format("({0}, {1})", _x, _y);
+ }
+ }
+
+ ///
+ /// Class which evaluates an SVM model using several standard techniques.
+ ///
+ public class PerformanceEvaluator
+ {
+ private class ChangePoint
+ {
+ public ChangePoint(int tp, int fp, int tn, int fn)
+ {
+ TP = tp;
+ FP = fp;
+ TN = tn;
+ FN = fn;
+ }
+
+ public int TP, FP, TN, FN;
+
+ public override string ToString()
+ {
+ return string.Format("{0}:{1}:{2}:{3}", TP, FP, TN, FN);
+ }
+ }
+
+ private List _prCurve;
+ private double _ap;
+
+ private List _rocCurve;
+ private double _auc;
+
+ private List _data;
+ private List _changes;
+
+ ///
+ /// Constructor.
+ ///
+ /// A pre-computed ranked pair set
+ public PerformanceEvaluator(List set)
+ {
+ _data = set;
+ computeStatistics();
+ }
+
+ ///
+ /// Constructor.
+ ///
+ /// Model to evaluate
+ /// Problem to evaluate
+ /// Label to be evaluate for
+ public PerformanceEvaluator(Model model, Problem problem, double category) : this(model, problem, category, "tmp.results") { }
+ ///
+ /// Constructor.
+ ///
+ /// Model to evaluate
+ /// Problem to evaluate
+ /// Results file for output
+ /// Category to evaluate for
+ public PerformanceEvaluator(Model model, Problem problem, double category, string resultsFile)
+ {
+ Prediction.Predict(problem, resultsFile, model, true);
+ parseResultsFile(resultsFile, problem.Y, category);
+
+ computeStatistics();
+ }
+
+ ///
+ /// Constructor.
+ ///
+ /// Results file
+ /// The correct labels of each data item
+ /// The category to evaluate for
+ public PerformanceEvaluator(string resultsFile, double[] correctLabels, double category)
+ {
+ parseResultsFile(resultsFile, correctLabels, category);
+ computeStatistics();
+ }
+
+ private void parseResultsFile(string resultsFile, double[] labels, double category)
+ {
+ StreamReader input = new StreamReader(resultsFile);
+ string[] parts = input.ReadLine().Split(new char[] { ' ' }, StringSplitOptions.RemoveEmptyEntries);
+ int confidenceIndex = -1;
+ for (int i = 1; i < parts.Length; i++)
+ if (double.Parse(parts[i], CultureInfo.InvariantCulture) == category)
+ {
+ confidenceIndex = i;
+ break;
+ }
+ _data = new List();
+ for (int i = 0; i < labels.Length; i++)
+ {
+ parts = input.ReadLine().Split(new char[] { ' ' }, StringSplitOptions.RemoveEmptyEntries);
+ double confidence = double.Parse(parts[confidenceIndex], CultureInfo.InvariantCulture);
+ _data.Add(new RankPair(confidence, labels[i] == category ? 1 : 0));
+ }
+ input.Close();
+ }
+
+ private void computeStatistics()
+ {
+ _data.Sort();
+
+ findChanges();
+ computePR();
+ computeRoC();
+ }
+
+ private void findChanges()
+ {
+ int tp, fp, tn, fn;
+ tp = fp = tn = fn = 0;
+ for (int i = 0; i < _data.Count; i++)
+ {
+ if (_data[i].Label == 1)
+ fn++;
+ else tn++;
+ }
+ _changes = new List();
+ for (int i = 0; i < _data.Count; i++)
+ {
+ if (_data[i].Label == 1)
+ {
+ tp++;
+ fn--;
+ }
+ else
+ {
+ fp++;
+ tn--;
+ }
+ _changes.Add(new ChangePoint(tp, fp, tn, fn));
+ }
+ }
+
+ private float computePrecision(ChangePoint p)
+ {
+ return (float)p.TP / (p.TP + p.FP);
+ }
+
+ private float computeRecall(ChangePoint p)
+ {
+ return (float)p.TP / (p.TP + p.FN);
+ }
+
+ private void computePR()
+ {
+ _prCurve = new List();
+ _prCurve.Add(new CurvePoint(0, 1));
+ float precision = computePrecision(_changes[0]);
+ float recall = computeRecall(_changes[0]);
+ float precisionSum = 0;
+ if (_changes[0].TP > 0)
+ {
+ precisionSum += precision;
+ _prCurve.Add(new CurvePoint(recall, precision));
+ }
+ for (int i = 1; i < _changes.Count; i++)
+ {
+ precision = computePrecision(_changes[i]);
+ recall = computeRecall(_changes[i]);
+ if (_changes[i].TP > _changes[i - 1].TP)
+ {
+ precisionSum += precision;
+ _prCurve.Add(new CurvePoint(recall, precision));
+ }
+ }
+ _prCurve.Add(new CurvePoint(1, (float)(_changes[0].TP + _changes[0].FN) / (_changes[0].FP + _changes[0].TN)));
+ _ap = precisionSum / (_changes[0].FN + _changes[0].TP);
+ }
+
+ ///
+ /// Writes the Precision-Recall curve to a tab-delimited file.
+ ///
+ /// Filename for output
+ public void WritePRCurve(string filename)
+ {
+ StreamWriter output = new StreamWriter(filename);
+ output.WriteLine(_ap);
+ for (int i = 0; i < _prCurve.Count; i++)
+ output.WriteLine("{0}\t{1}", _prCurve[i].X, _prCurve[i].Y);
+ output.Close();
+ }
+
+ ///
+ /// Writes the Receiver Operating Characteristic curve to a tab-delimited file.
+ ///
+ /// Filename for output
+ public void WriteROCCurve(string filename)
+ {
+ StreamWriter output = new StreamWriter(filename);
+ output.WriteLine(_auc);
+ for (int i = 0; i < _rocCurve.Count; i++)
+ output.WriteLine("{0}\t{1}", _rocCurve[i].X, _rocCurve[i].Y);
+ output.Close();
+ }
+
+ ///
+ /// Receiver Operating Characteristic curve
+ ///
+ public List ROCCurve
+ {
+ get
+ {
+ return _rocCurve;
+ }
+ }
+
+ ///
+ /// Returns the area under the ROC Curve
+ ///
+ public double AuC
+ {
+ get
+ {
+ return _auc;
+ }
+ }
+
+ ///
+ /// Precision-Recall curve
+ ///
+ public List PRCurve
+ {
+ get
+ {
+ return _prCurve;
+ }
+ }
+
+ ///
+ /// The average precision
+ ///
+ public double AP
+ {
+ get
+ {
+ return _ap;
+ }
+ }
+
+ private float computeTPR(ChangePoint cp)
+ {
+ return computeRecall(cp);
+ }
+
+ private float computeFPR(ChangePoint cp)
+ {
+ return (float)cp.FP / (cp.FP + cp.TN);
+ }
+
+ private void computeRoC()
+ {
+ _rocCurve = new List();
+ _rocCurve.Add(new CurvePoint(0, 0));
+ float tpr = computeTPR(_changes[0]);
+ float fpr = computeFPR(_changes[0]);
+ _rocCurve.Add(new CurvePoint(fpr, tpr));
+ _auc = 0;
+ for (int i = 1; i < _changes.Count; i++)
+ {
+ float newTPR = computeTPR(_changes[i]);
+ float newFPR = computeFPR(_changes[i]);
+ if (_changes[i].TP > _changes[i - 1].TP)
+ {
+ _auc += tpr * (newFPR - fpr) + .5 * (newTPR - tpr) * (newFPR - fpr);
+ tpr = newTPR;
+ fpr = newFPR;
+ _rocCurve.Add(new CurvePoint(fpr, tpr));
+ }
+ }
+ _rocCurve.Add(new CurvePoint(1, 1));
+ _auc += tpr * (1 - fpr) + .5 * (1 - tpr) * (1 - fpr);
+ }
+
+ }
+}
diff --git a/BotSharp.MachineLearning/SVM/PrecomputedKernel.cs b/BotSharp.MachineLearning/SVM/PrecomputedKernel.cs
new file mode 100644
index 00000000..2d348d3e
--- /dev/null
+++ b/BotSharp.MachineLearning/SVM/PrecomputedKernel.cs
@@ -0,0 +1,117 @@
+/*
+ * SVM.NET Library
+ * Copyright (C) 2008 Matthew Johnson
+ *
+ * This program is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation, either version 3 of the License, or
+ * (at your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program. If not, see .
+ */
+
+
+using System;
+using System.Collections.Generic;
+
+namespace SVM.BotSharp.MachineLearning
+{
+ ///
+ /// Class encapsulating a precomputed kernel, where each position indicates the similarity score for two items in the training data.
+ ///
+ [Serializable]
+ public class PrecomputedKernel
+ {
+ private float[,] _similarities;
+ private int _rows;
+ private int _columns;
+
+ ///
+ /// Constructor.
+ ///
+ /// The similarity scores between all items in the training data
+ public PrecomputedKernel(float[,] similarities)
+ {
+ _similarities = similarities;
+ _rows = _similarities.GetLength(0);
+ _columns = _similarities.GetLength(1);
+ }
+
+ ///
+ /// Constructor.
+ ///
+ /// Nodes for self-similarity analysis
+ /// Parameters to use when computing similarities
+ public PrecomputedKernel(List nodes, Parameter param)
+ {
+ _rows = nodes.Count;
+ _columns = _rows;
+ _similarities = new float[_rows, _columns];
+ for (int r = 0; r < _rows; r++)
+ {
+ for (int c = 0; c < r; c++)
+ _similarities[r, c] = _similarities[c, r];
+ _similarities[r, r] = 1;
+ for (int c = r + 1; c < _columns; c++)
+ _similarities[r, c] = (float)Kernel.KernelFunction(nodes[r], nodes[c], param);
+ }
+ }
+
+ ///
+ /// Constructor.
+ ///
+ /// Nodes to use as the rows of the matrix
+ /// Nodes to use as the columns of the matrix
+ /// Parameters to use when compute similarities
+ public PrecomputedKernel(List rows, List columns, Parameter param)
+ {
+ _rows = rows.Count;
+ _columns = columns.Count;
+ _similarities = new float[_rows, _columns];
+ for (int r = 0; r < _rows; r++)
+ for (int c = 0; c < _columns; c++)
+ _similarities[r, c] = (float)Kernel.KernelFunction(rows[r], columns[c], param);
+ }
+
+ ///
+ /// Constructs a object using the labels provided. If a label is set to "0" that item is ignored.
+ ///
+ /// The labels for the row items
+ /// The labels for the column items
+ /// A object
+ public Problem Compute(double[] rowLabels, double[] columnLabels)
+ {
+ List X = new List();
+ List Y = new List();
+ int maxIndex = 0;
+ for (int i = 0; i < columnLabels.Length; i++)
+ if (columnLabels[i] != 0)
+ maxIndex++;
+ maxIndex++;
+ for (int r = 0; r < _rows; r++)
+ {
+ if (rowLabels[r] == 0)
+ continue;
+ List nodes = new List();
+ nodes.Add(new Node(0, X.Count + 1));
+ for (int c = 0; c < _columns; c++)
+ {
+ if (columnLabels[c] == 0)
+ continue;
+ double value = _similarities[r, c];
+ nodes.Add(new Node(nodes.Count, value));
+ }
+ X.Add(nodes.ToArray());
+ Y.Add(rowLabels[r]);
+ }
+ return new Problem(X.Count, Y.ToArray(), X.ToArray(), maxIndex);
+ }
+
+ }
+}
diff --git a/BotSharp.MachineLearning/SVM/Prediction.cs b/BotSharp.MachineLearning/SVM/Prediction.cs
new file mode 100644
index 00000000..f6293246
--- /dev/null
+++ b/BotSharp.MachineLearning/SVM/Prediction.cs
@@ -0,0 +1,214 @@
+/*
+ * SVM.NET Library
+ * Copyright (C) 2008 Matthew Johnson
+ *
+ * This program is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation, either version 3 of the License, or
+ * (at your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program. If not, see .
+ */
+
+
+using System;
+using System.Linq;
+using System.IO;
+using System.Diagnostics;
+
+namespace SVM.BotSharp.MachineLearning
+{
+ ///
+ /// Class containing the routines to perform class membership prediction using a trained SVM.
+ ///
+ public static class Prediction
+ {
+ ///
+ /// Predicts the class memberships of all the vectors in the problem.
+ ///
+ /// The SVM Problem to solve
+ /// File for result output
+ /// The Model to use
+ /// Whether to output a distribution over the classes
+ /// Percentage correctly labelled
+ public static double Predict(
+ Problem problem,
+ string outputFile,
+ Model model,
+ bool predict_probability)
+ {
+ int correct = 0;
+ int total = 0;
+ double error = 0;
+ double sumv = 0, sumy = 0, sumvv = 0, sumyy = 0, sumvy = 0;
+ StreamWriter output = outputFile != null ? new StreamWriter(outputFile) : null;
+
+ SvmType svm_type = Procedures.svm_get_svm_type(model);
+ int nr_class = Procedures.svm_get_nr_class(model);
+ int[] labels = new int[nr_class];
+ double[] prob_estimates = null;
+
+ if (predict_probability)
+ {
+ if (svm_type == SvmType.EPSILON_SVR || svm_type == SvmType.NU_SVR)
+ {
+ Console.WriteLine("Prob. model for test data: target value = predicted value + z,\nz: Laplace distribution e^(-|z|/sigma)/(2sigma),sigma=" + Procedures.svm_get_svr_probability(model));
+ }
+ else
+ {
+ Procedures.svm_get_labels(model, labels);
+ prob_estimates = new double[nr_class];
+ if (output != null)
+ {
+ output.Write("labels");
+ for (int j = 0; j < nr_class; j++)
+ {
+ output.Write(" " + labels[j]);
+ }
+ output.Write("\n");
+ }
+ }
+ }
+ for (int i = 0; i < problem.Count; i++)
+ {
+ double target = problem.Y[i];
+ Node[] x = problem.X[i];
+
+ double v;
+ if (predict_probability && (svm_type == SvmType.C_SVC || svm_type == SvmType.NU_SVC))
+ {
+ v = Procedures.svm_predict_probability(model, x, prob_estimates);
+ if (output != null)
+ {
+ output.Write(v + " ");
+ for (int j = 0; j < nr_class; j++)
+ {
+ output.Write(prob_estimates[j] + " ");
+ }
+ output.Write("\n");
+ }
+ }
+ else
+ {
+ v = Procedures.svm_predict(model, x);
+ if(output != null)
+ output.Write(v + "\n");
+ }
+
+ if (v == target)
+ ++correct;
+ error += (v - target) * (v - target);
+ sumv += v;
+ sumy += target;
+ sumvv += v * v;
+ sumyy += target * target;
+ sumvy += v * target;
+ ++total;
+ }
+ if(output != null)
+ output.Close();
+
+ if (model.Parameter.SvmType == SvmType.EPSILON_SVR || model.Parameter.SvmType == SvmType.NU_SVR)
+ return error / total;
+ else return (double)correct / total;
+ }
+
+ ///
+ /// Predict the labels for all the data points in a problem.
+ ///
+ /// The model to use
+ /// The problem to solve
+ /// The predicted labels
+ public static double[] PredictLabels(this Model model, Problem problem)
+ {
+ return problem.X.Select(o => model.Predict(o)).ToArray();
+ }
+
+ ///
+ /// Predict the probability distributions over all labels for each data point in a problem.
+ ///
+ /// The model to use
+ /// The problem to solve
+ /// A distribution over labels for each data point
+ public static double[][] PredictLabelsProbability(this Model model, Problem problem)
+ {
+ return problem.X.Select(o => model.PredictProbability(o)).ToArray();
+ }
+
+ ///
+ /// Predict the class for a single input vector.
+ ///
+ /// The Model to use for prediction
+ /// The vector for which to predict class
+ /// The result
+ public static double Predict(this Model model, Node[] x)
+ {
+ return Procedures.svm_predict(model, x);
+ }
+
+ ///
+ /// Predicts a class distribution for the single input vector.
+ ///
+ /// Model to use for prediction
+ /// The vector for which to predict the class distribution
+ /// A probability distribtion over classes
+ public static double[] PredictProbability(this Model model, Node[] x)
+ {
+ SvmType svm_type = Procedures.svm_get_svm_type(model);
+ if (svm_type != SvmType.C_SVC && svm_type != SvmType.NU_SVC)
+ throw new Exception("Model type " + svm_type + " unable to predict probabilities.");
+ int nr_class = Procedures.svm_get_nr_class(model);
+ double[] probEstimates = new double[nr_class];
+ Procedures.svm_predict_probability(model, x, probEstimates);
+ return probEstimates;
+ }
+
+ private static void exit_with_help()
+ {
+ Debug.Write("usage: svm_predict [options] test_file model_file output_file\n" + "options:\n" + "-b probability_estimates: whether to predict probability estimates, 0 or 1 (default 0); one-class SVM not supported yet\n");
+ Environment.Exit(1);
+ }
+
+ ///
+ /// Legacy method, provided to allow usage as though this were the command line version of libsvm.
+ ///
+ /// Standard arguments passed to the svm_predict exectutable. See libsvm documentation for details.
+ [Obsolete("Use the other version of Predict() instead")]
+ public static void Predict(params string[] args)
+ {
+ int i = 0;
+ bool predictProbability = false;
+
+ // parse options
+ for (i = 0; i < args.Length; i++)
+ {
+ if (args[i][0] != '-')
+ break;
+ ++i;
+ switch (args[i - 1][1])
+ {
+
+ case 'b':
+ predictProbability = int.Parse(args[i]) == 1;
+ break;
+
+ default:
+ throw new ArgumentException("Unknown option");
+
+ }
+ }
+ if (i >= args.Length)
+ throw new ArgumentException("No input, model and output files provided");
+
+ Problem problem = Problem.Read(args[i]);
+ Model model = Model.Read(args[i + 1]);
+ Predict(problem, args[i + 2], model, predictProbability);
+ }
+ }
+}
\ No newline at end of file
diff --git a/BotSharp.MachineLearning/SVM/Problem.cs b/BotSharp.MachineLearning/SVM/Problem.cs
new file mode 100644
index 00000000..4d1eb783
--- /dev/null
+++ b/BotSharp.MachineLearning/SVM/Problem.cs
@@ -0,0 +1,190 @@
+/*
+ * SVM.NET Library
+ * Copyright (C) 2008 Matthew Johnson
+ *
+ * This program is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation, either version 3 of the License, or
+ * (at your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program. If not, see .
+ */
+
+
+using System;
+using System.IO;
+using System.Collections.Generic;
+using System.Threading;
+using System.Globalization;
+
+namespace SVM.BotSharp.MachineLearning
+{
+ ///
+ /// Encapsulates a problem, or set of vectors which must be classified.
+ ///
+ [Serializable]
+ public class Problem
+ {
+ ///
+ /// Constructor.
+ ///
+ /// Number of vectors
+ /// The class labels
+ /// Vector data.
+ /// Maximum index for a vector
+ public Problem(int count, double[] y, Node[][] x, int maxIndex)
+ {
+ Count = count;
+ Y = y;
+ X = x;
+ MaxIndex = maxIndex;
+ }
+ ///
+ /// Empty Constructor. Nothing is initialized.
+ ///
+ public Problem()
+ {
+ }
+ ///
+ /// Number of vectors.
+ ///
+ public int Count { get; set; }
+
+ ///
+ /// Class labels.
+ ///
+ public double[] Y { get; set; }
+
+ ///
+ /// Vector data.
+ ///
+ public Node[][] X { get; set; }
+
+ ///
+ /// Maximum index for a vector.
+ ///
+ public int MaxIndex { get; set; }
+
+ public override bool Equals(object obj)
+ {
+ Problem other = obj as Problem;
+ if (other == null)
+ return false;
+
+ return other.Count == Count &&
+ other.MaxIndex == MaxIndex &&
+ other.X.IsEqual(X) &&
+ other.Y.IsEqual(Y);
+ }
+
+ public override int GetHashCode()
+ {
+ return Count.GetHashCode() +
+ MaxIndex.GetHashCode() +
+ X.ComputeHashcode() +
+ Y.ComputeHashcode();
+ }
+
+ ///
+ /// Reads a problem from a stream.
+ ///
+ /// Stream to read from
+ /// The problem
+ public static Problem Read(Stream stream)
+ {
+ TemporaryCulture.Start();
+
+ StreamReader input = new StreamReader(stream);
+ List vy = new List();
+ List vx = new List();
+ int max_index = 0;
+
+ while (input.Peek() > -1)
+ {
+ string[] parts = input.ReadLine().Trim().Split();
+
+ vy.Add(double.Parse(parts[0]));
+ int m = parts.Length - 1;
+ Node[] x = new Node[m];
+ for (int j = 0; j < m; j++)
+ {
+ x[j] = new Node();
+ string[] nodeParts = parts[j + 1].Split(':');
+ x[j].Index = int.Parse(nodeParts[0]);
+ x[j].Value = double.Parse(nodeParts[1]);
+ }
+ if (m > 0)
+ max_index = Math.Max(max_index, x[m - 1].Index);
+ vx.Add(x);
+ }
+
+ TemporaryCulture.Stop();
+
+ return new Problem(vy.Count, vy.ToArray(), vx.ToArray(), max_index);
+ }
+
+ ///
+ /// Writes a problem to a stream.
+ ///
+ /// The stream to write the problem to.
+ /// The problem to write.
+ public static void Write(Stream stream, Problem problem)
+ {
+ TemporaryCulture.Start();
+
+ StreamWriter output = new StreamWriter(stream);
+ for (int i = 0; i < problem.Count; i++)
+ {
+ output.Write(problem.Y[i]);
+ for (int j = 0; j < problem.X[i].Length; j++)
+ output.Write(" {0}:{1:0.000000}", problem.X[i][j].Index, problem.X[i][j].Value);
+ output.Write("\n");
+ }
+ output.Flush();
+
+ TemporaryCulture.Stop();
+ }
+
+ ///
+ /// Reads a Problem from a file.
+ ///
+ /// The file to read from.
+ /// the Probem
+ public static Problem Read(string filename)
+ {
+ FileStream input = File.OpenRead(filename);
+ try
+ {
+ return Read(input);
+ }
+ finally
+ {
+ input.Close();
+ }
+ }
+
+ ///
+ /// Writes a problem to a file. This will overwrite any previous data in the file.
+ ///
+ /// The file to write to
+ /// The problem to write
+ public static void Write(string filename, Problem problem)
+ {
+ FileStream output = File.Open(filename, FileMode.Create);
+ try
+ {
+ Write(output, problem);
+ }
+ finally
+ {
+ output.Close();
+ }
+ }
+ }
+}
\ No newline at end of file
diff --git a/BotSharp.MachineLearning/SVM/RangeTransform.cs b/BotSharp.MachineLearning/SVM/RangeTransform.cs
new file mode 100644
index 00000000..5e3a2e80
--- /dev/null
+++ b/BotSharp.MachineLearning/SVM/RangeTransform.cs
@@ -0,0 +1,245 @@
+/*
+ * SVM.NET Library
+ * Copyright (C) 2008 Matthew Johnson
+ *
+ * This program is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation, either version 3 of the License, or
+ * (at your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program. If not, see .
+ */
+
+
+using System;
+using System.IO;
+using System.Threading;
+using System.Globalization;
+
+namespace SVM.BotSharp.MachineLearning
+{
+ ///
+ /// Class which encapsulates a range transformation.
+ ///
+ public class RangeTransform : IRangeTransform
+ {
+ ///
+ /// Default lower bound for scaling (-1).
+ ///
+ public const int DEFAULT_LOWER_BOUND = -1;
+ ///
+ /// Default upper bound for scaling (1).
+ ///
+ public const int DEFAULT_UPPER_BOUND = 1;
+
+ ///
+ /// Determines the Range transform for the provided problem. Uses the default lower and upper bounds.
+ ///
+ /// The Problem to analyze
+ /// The Range transform for the problem
+ public static RangeTransform Compute(Problem prob)
+ {
+ return Compute(prob, DEFAULT_LOWER_BOUND, DEFAULT_UPPER_BOUND);
+ }
+ ///
+ /// Determines the Range transform for the provided problem.
+ ///
+ /// The Problem to analyze
+ /// The lower bound for scaling
+ /// The upper bound for scaling
+ /// The Range transform for the problem
+ public static RangeTransform Compute(Problem prob, double lowerBound, double upperBound)
+ {
+ double[] minVals = new double[prob.MaxIndex];
+ double[] maxVals = new double[prob.MaxIndex];
+ for (int i = 0; i < prob.MaxIndex; i++)
+ {
+ minVals[i] = double.MaxValue;
+ maxVals[i] = double.MinValue;
+ }
+ for (int i = 0; i < prob.Count; i++)
+ {
+ for (int j = 0; j < prob.X[i].Length; j++)
+ {
+ int index = prob.X[i][j].Index - 1;
+ double value = prob.X[i][j].Value;
+ minVals[index] = Math.Min(minVals[index], value);
+ maxVals[index] = Math.Max(maxVals[index], value);
+ }
+ }
+ for (int i = 0; i < prob.MaxIndex; i++)
+ {
+ if (minVals[i] == double.MaxValue || maxVals[i] == double.MinValue)
+ {
+ minVals[i] = 0;
+ maxVals[i] = 0;
+ }
+ }
+ return new RangeTransform(minVals, maxVals, lowerBound, upperBound);
+ }
+
+ private double[] _inputStart;
+ private double[] _inputScale;
+ private double _outputStart;
+ private double _outputScale;
+ private int _length;
+
+ ///
+ /// Constructor.
+ ///
+ /// The minimum values in each dimension.
+ /// The maximum values in each dimension.
+ /// The desired lower bound for all dimensions.
+ /// The desired upper bound for all dimensions.
+ public RangeTransform(double[] minValues, double[] maxValues, double lowerBound, double upperBound)
+ {
+ _length = minValues.Length;
+ if(maxValues.Length != _length)
+ throw new Exception("Number of max and min values must be equal.");
+ _inputStart = new double[_length];
+ _inputScale = new double[_length];
+ for (int i = 0; i < _length; i++)
+ {
+ _inputStart[i] = minValues[i];
+ _inputScale[i] = maxValues[i] - minValues[i];
+ }
+ _outputStart = lowerBound;
+ _outputScale = upperBound - lowerBound;
+ }
+ private RangeTransform(double[] inputStart, double[] inputScale, double outputStart, double outputScale, int length)
+ {
+ _inputStart = inputStart;
+ _inputScale = inputScale;
+ _outputStart = outputStart;
+ _outputScale = outputScale;
+ _length = length;
+ }
+ ///
+ /// Transforms the input array based upon the values provided.
+ ///
+ /// The input array
+ /// A scaled array
+ public Node[] Transform(Node[] input)
+ {
+ Node[] output = new Node[input.Length];
+ for (int i = 0; i < output.Length; i++)
+ {
+ int index = input[i].Index;
+ double value = input[i].Value;
+ output[i] = new Node(index, Transform(value, index));
+ }
+ return output;
+ }
+
+ ///
+ /// Transforms this an input value using the scaling transform for the provided dimension.
+ ///
+ /// The input value to transform
+ /// The dimension whose scaling transform should be used
+ /// The scaled value
+ public double Transform(double input, int index)
+ {
+ index--;
+ double tmp = input - _inputStart[index];
+ if (_inputScale[index] == 0)
+ return 0;
+ tmp /= _inputScale[index];
+ tmp *= _outputScale;
+ return tmp + _outputStart;
+ }
+ ///
+ /// Writes this Range transform to a stream.
+ ///
+ /// The stream to write to
+ /// The range to write
+ public static void Write(Stream stream, RangeTransform r)
+ {
+ TemporaryCulture.Start();
+
+ StreamWriter output = new StreamWriter(stream);
+ output.WriteLine(r._length);
+ output.Write(r._inputStart[0]);
+ for(int i=1; i
+ /// Writes this Range transform to a file. This will overwrite any previous data in the file.
+ ///
+ /// The file to write to
+ /// The Range to write
+ public static void Write(string outputFile, RangeTransform r)
+ {
+ FileStream s = File.Open(outputFile, FileMode.Create);
+ try
+ {
+ Write(s, r);
+ }
+ finally
+ {
+ s.Close();
+ }
+ }
+
+ ///
+ /// Reads a Range transform from a file.
+ ///
+ /// The file to read from
+ /// The Range transform
+ public static RangeTransform Read(string inputFile)
+ {
+ FileStream s = File.OpenRead(inputFile);
+ try
+ {
+ return Read(s);
+ }
+ finally
+ {
+ s.Close();
+ }
+ }
+
+ ///
+ /// Reads a Range transform from a stream.
+ ///
+ /// The stream to read from
+ /// The Range transform
+ public static RangeTransform Read(Stream stream)
+ {
+ TemporaryCulture.Start();
+
+ StreamReader input = new StreamReader(stream);
+ int length = int.Parse(input.ReadLine());
+ double[] inputStart = new double[length];
+ double[] inputScale = new double[length];
+ string[] parts = input.ReadLine().Split();
+ for (int i = 0; i < length; i++)
+ inputStart[i] = double.Parse(parts[i]);
+ parts = input.ReadLine().Split();
+ for (int i = 0; i < length; i++)
+ inputScale[i] = double.Parse(parts[i]);
+ parts = input.ReadLine().Split();
+ double outputStart = double.Parse(parts[0]);
+ double outputScale = double.Parse(parts[1]);
+
+ TemporaryCulture.Stop();
+
+ return new RangeTransform(inputStart, inputScale, outputStart, outputScale, length);
+ }
+ }
+}
diff --git a/BotSharp.MachineLearning/SVM/SVMExtensions.cs b/BotSharp.MachineLearning/SVM/SVMExtensions.cs
new file mode 100644
index 00000000..fddce8bb
--- /dev/null
+++ b/BotSharp.MachineLearning/SVM/SVMExtensions.cs
@@ -0,0 +1,82 @@
+using System;
+using System.Collections.Generic;
+using System.Linq;
+using System.Text;
+
+namespace SVM.BotSharp.MachineLearning
+{
+ internal static class SVMExtensions
+ {
+ private const double PRECISION = 1000000.0;
+
+ public static double Truncate(this double x)
+ {
+ return Math.Round(x * PRECISION) / PRECISION;
+ }
+
+ public static void SwapIndex(this T[] list, int i, int j)
+ {
+ T tmp = list[i];
+ list[i] = list[j];
+ list[j] = tmp;
+ }
+
+ public static bool IsEqual(this T[][] lhs, T[][] rhs)
+ {
+ if (lhs.Length != rhs.Length)
+ return false;
+
+ for (int i = 0; i < lhs.Length; i++)
+ {
+ if (!lhs[i].IsEqual(rhs[i]))
+ return false;
+ }
+
+ return true;
+ }
+
+ public static bool IsEqual(this T[] lhs, T[] rhs)
+ {
+ if (lhs.Length != rhs.Length)
+ return false;
+ for (int i = 0; i < lhs.Length; i++)
+ if (!lhs[i].Equals(rhs[i]))
+ return false;
+ return true;
+ }
+
+ public static bool IsEqual(this double[] lhs, double[] rhs)
+ {
+ if (lhs.Length != rhs.Length)
+ return false;
+ for (int i = 0; i < lhs.Length; i++)
+ {
+ double x = lhs[i].Truncate();
+ double y = rhs[i].Truncate();
+ if (x != y)
+ return false;
+ }
+ return true;
+ }
+
+ public static bool IsEqual(this double[][] lhs, double[][] rhs)
+ {
+ if (lhs.Length != rhs.Length)
+ return false;
+ for (int i = 0; i < lhs.Length; i++)
+ if (!lhs[i].IsEqual(rhs[i]))
+ return false;
+ return true;
+ }
+
+ public static int ComputeHashcode(this T[] array)
+ {
+ return array.Sum(o => o.GetHashCode());
+ }
+
+ public static int ComputeHashcode(this T[][] array)
+ {
+ return array.Sum(o => o.ComputeHashcode());
+ }
+ }
+}
diff --git a/BotSharp.MachineLearning/SVM/SVMUtilities.cs b/BotSharp.MachineLearning/SVM/SVMUtilities.cs
new file mode 100644
index 00000000..57e62674
--- /dev/null
+++ b/BotSharp.MachineLearning/SVM/SVMUtilities.cs
@@ -0,0 +1,116 @@
+using SVM;
+using SVM.BotSharp.MachineLearning;
+using System;
+using System.Collections.Generic;
+using System.Linq;
+using System.Text;
+using System.Threading.Tasks;
+
+namespace SVM.BotSharp.MachineLearningTest
+{
+ public static class SVMUtilities
+ {
+ private const double SCALE = 100;
+ public const int TRAINING_SEED = 20080524;
+ public const int TESTING_SEED = 20140407;
+
+ public static Problem CreateTwoClassProblem(int count, bool isTraining = true)
+ {
+ Problem prob = new Problem();
+ prob.Count = count;
+ prob.MaxIndex = 2;
+
+ Random rand = new Random(isTraining ? TRAINING_SEED : TESTING_SEED);
+ // create points on either side of the vertical axis
+ int positive = count / 2;
+ List labels = new List();
+ List data = new List();
+ for (int i = 0; i < count; i++)
+ {
+ double x = rand.NextDouble() * SCALE + 10;
+ double y = rand.NextDouble() * SCALE - (SCALE * .5);
+ x = i < positive ? x : -x;
+ data.Add(new Node[] { new Node(1, x), new Node(2, y) });
+ labels.Add(i < positive ? 1 : -1);
+ }
+ prob.X = data.ToArray();
+ prob.Y = labels.ToArray();
+
+ return prob;
+ }
+
+ public static Problem CreateMulticlassProblem(int numberOfClasses, int count, bool isTraining = true)
+ {
+ if (numberOfClasses > 8)
+ throw new ArgumentException("Number of classes must be < 8");
+
+ Problem prob = new Problem();
+ prob.Count = count;
+ prob.MaxIndex = 3;
+
+ int[] samplesPerClass = new int[numberOfClasses];
+ double countPerClass = (double)count / numberOfClasses;
+ double current = countPerClass;
+ for (int i = 1; i < samplesPerClass.Length; i++)
+ {
+ samplesPerClass[i] = (int)current;
+ current += countPerClass;
+ samplesPerClass[i - 1] = samplesPerClass[i] - samplesPerClass[i - 1];
+ }
+ samplesPerClass[samplesPerClass.Length - 1] = count - samplesPerClass.Last();
+
+ int[] xSigns = new int[8] { -1, 1, 1, -1, -1, 1, 1, -1 };
+ int[] ySigns = new int[8] { 1, 1, -1, -1, 1, 1, -1, -1 };
+ int[] zSigns = new int[8] { 1, 1, 1, 1, -1, -1, -1, -1 };
+
+ Random rand = new Random(isTraining ? TRAINING_SEED : TESTING_SEED);
+
+ List labels = new List();
+ List data = new List();
+ for (int i = 0; i < numberOfClasses; i++)
+ {
+ for (int j = 0; j < samplesPerClass[i]; j++)
+ {
+ double x = rand.NextDouble() * SCALE + 10;
+ double y = rand.NextDouble() * SCALE + 10;
+ double z = rand.NextDouble() * SCALE + 10;
+ x *= xSigns[i];
+ y *= ySigns[i];
+ z *= zSigns[i];
+
+ data.Add(new Node[] { new Node(1, x), new Node(2, y), new Node(3, z) });
+ labels.Add(i);
+ }
+ }
+
+ prob.X = data.ToArray();
+ prob.Y = labels.ToArray();
+
+ return prob;
+ }
+
+ public static Problem CreateRegressionProblem(int count, bool isTraining = true)
+ {
+ Problem prob = new Problem();
+ prob.Count = count;
+ prob.MaxIndex = 2;
+
+ Random rand = new Random(isTraining ? TRAINING_SEED : TESTING_SEED);
+
+ List labels = new List();
+ List data = new List();
+ for (int i = 0; i < count; i++)
+ {
+ double y = rand.NextDouble() * 10 - 5;
+ double z = rand.NextDouble() * 10 - 5;
+ double x = 2 * y + z;
+ data.Add(new Node[] { new Node(1, y), new Node(2, z) });
+ labels.Add(x);
+ }
+ prob.X = data.ToArray();
+ prob.Y = labels.ToArray();
+
+ return prob;
+ }
+ }
+}
diff --git a/BotSharp.MachineLearning/SVM/Scaling.cs b/BotSharp.MachineLearning/SVM/Scaling.cs
new file mode 100644
index 00000000..b0922cb7
--- /dev/null
+++ b/BotSharp.MachineLearning/SVM/Scaling.cs
@@ -0,0 +1,49 @@
+/*
+ * SVM.NET Library
+ * Copyright (C) 2008 Matthew Johnson
+ *
+ * This program is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation, either version 3 of the License, or
+ * (at your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program. If not, see .
+ */
+
+
+using System;
+
+namespace SVM.BotSharp.MachineLearning
+{
+ ///
+ /// Deals with the scaling of Problems so they have uniform ranges across all dimensions in order to
+ /// result in better SVM performance.
+ ///
+ public static class Scaling
+ {
+ ///
+ /// Scales a problem using the provided range. This will not affect the parameter.
+ ///
+ /// The problem to scale
+ /// The Range transform to use in scaling
+ /// The Scaled problem
+ public static Problem Scale(this IRangeTransform range, Problem prob)
+ {
+ Problem scaledProblem = new Problem(prob.Count, new double[prob.Count], new Node[prob.Count][], prob.MaxIndex);
+ for (int i = 0; i < scaledProblem.Count; i++)
+ {
+ scaledProblem.X[i] = new Node[prob.X[i].Length];
+ for (int j = 0; j < scaledProblem.X[i].Length; j++)
+ scaledProblem.X[i][j] = new Node(prob.X[i][j].Index, range.Transform(prob.X[i][j].Value, prob.X[i][j].Index));
+ scaledProblem.Y[i] = prob.Y[i];
+ }
+ return scaledProblem;
+ }
+ }
+}
diff --git a/BotSharp.MachineLearning/SVM/Solver.cs b/BotSharp.MachineLearning/SVM/Solver.cs
new file mode 100644
index 00000000..5faada66
--- /dev/null
+++ b/BotSharp.MachineLearning/SVM/Solver.cs
@@ -0,0 +1,2298 @@
+/*
+ * SVM.NET Library
+ * Copyright (C) 2008 Matthew Johnson
+ *
+ * This program is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation, either version 3 of the License, or
+ * (at your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program. If not, see .
+ */
+
+
+using System;
+using System.Linq;
+using System.Collections.Generic;
+using System.Diagnostics;
+using System.IO;
+
+namespace SVM.BotSharp.MachineLearning
+{
+
+
+ // An SMO algorithm in Fan et al., JMLR 6(2005), p. 1889--1918
+ // Solves:
+ //
+ // min 0.5(\alpha^T Q \alpha) + p^T \alpha
+ //
+ // y^T \alpha = \delta
+ // y_i = +1 or -1
+ // 0 <= alpha_i <= Cp for y_i = 1
+ // 0 <= alpha_i <= Cn for y_i = -1
+ //
+ // Given:
+ //
+ // Q, p, y, Cp, Cn, and an initial feasible point \alpha
+ // l is the size of vectors and matrices
+ // eps is the stopping tolerance
+ //
+ // solution will be put in \alpha, objective value will be put in obj
+ //
+ class Solver
+ {
+ protected int active_size;
+ protected sbyte[] y;
+ protected double[] G; // gradient of objective function
+ protected const byte LOWER_BOUND = 0;
+ protected const byte UPPER_BOUND = 1;
+ protected const byte FREE = 2;
+ protected byte[] alpha_status; // LOWER_BOUND, UPPER_BOUND, FREE
+ protected double[] alpha;
+ protected IQMatrix Q;
+ protected double[] QD;
+ protected double eps;
+ protected double Cp, Cn;
+ protected double[] p;
+ protected int[] active_set;
+ protected double[] G_bar; // gradient, if we treat free variables as 0
+ protected int l;
+ protected bool unshrink; // XXX
+
+ protected const double INF = Double.PositiveInfinity;
+
+ double get_C(int i)
+ {
+ return (y[i] > 0) ? Cp : Cn;
+ }
+ void update_alpha_status(int i)
+ {
+ if (alpha[i] >= get_C(i))
+ alpha_status[i] = UPPER_BOUND;
+ else if (alpha[i] <= 0)
+ alpha_status[i] = LOWER_BOUND;
+ else alpha_status[i] = FREE;
+ }
+ protected bool is_upper_bound(int i) { return alpha_status[i] == UPPER_BOUND; }
+ protected bool is_lower_bound(int i) { return alpha_status[i] == LOWER_BOUND; }
+ protected bool is_free(int i) { return alpha_status[i] == FREE; }
+
+ // java: information about solution except alpha,
+ // because we cannot return multiple values otherwise...
+ public class SolutionInfo
+ {
+ public double obj { get; set; }
+ public double rho { get; set; }
+ public double upper_bound_p { get; set; }
+ public double upper_bound_n { get; set; }
+ public double r { get; set; } // for Solver_NU
+ }
+
+ protected void swap_index(int i, int j)
+ {
+ Q.SwapIndex(i, j);
+ do { sbyte _ = y[i]; y[i] = y[j]; y[j] = _; } while (false);
+ do { double _ = G[i]; G[i] = G[j]; G[j] = _; } while (false);
+ do { byte _ = alpha_status[i]; alpha_status[i] = alpha_status[j]; alpha_status[j] = _; } while (false);
+ do { double _ = alpha[i]; alpha[i] = alpha[j]; alpha[j] = _; } while (false);
+ do { double _ = p[i]; p[i] = p[j]; p[j] = _; } while (false);
+ do { int _ = active_set[i]; active_set[i] = active_set[j]; active_set[j] = _; } while (false);
+ do { double _ = G_bar[i]; G_bar[i] = G_bar[j]; G_bar[j] = _; } while (false);
+ }
+
+ protected void reconstruct_gradient()
+ {
+ // reconstruct inactive elements of G from G_bar and free variables
+
+ if (active_size == l) return;
+
+ int i, j;
+ int nr_free = 0;
+
+ for (j = active_size; j < l; j++)
+ G[j] = G_bar[j] + p[j];
+
+ for (j = 0; j < active_size; j++)
+ if (is_free(j))
+ nr_free++;
+
+ if (2 * nr_free < active_size)
+ Procedures.info("\nWARNING: using -h 0 may be faster\n");
+
+ if (nr_free * l > 2 * active_size * (l - active_size))
+ {
+ for (i = active_size; i < l; i++)
+ {
+ float[] Q_i = Q.GetQ(i, active_size);
+ for (j = 0; j < active_size; j++)
+ if (is_free(j))
+ G[i] += alpha[j] * Q_i[j];
+ }
+ }
+ else
+ {
+ for (i = 0; i < active_size; i++)
+ if (is_free(i))
+ {
+ float[] Q_i = Q.GetQ(i, l);
+ double alpha_i = alpha[i];
+ for (j = active_size; j < l; j++)
+ G[j] += alpha_i * Q_i[j];
+ }
+ }
+ }
+
+ public virtual void Solve(int l, IQMatrix Q, double[] p_, sbyte[] y_,
+ double[] alpha_, double Cp, double Cn, double eps, SolutionInfo si, bool shrinking)
+ {
+ this.l = l;
+ this.Q = Q;
+ QD = Q.GetQD();
+ p = (double[])p_.Clone();
+ y = (sbyte[])y_.Clone();
+ alpha = (double[])alpha_.Clone();
+ this.Cp = Cp;
+ this.Cn = Cn;
+ this.eps = eps;
+ this.unshrink = false;
+
+ // initialize alpha_status
+ {
+ alpha_status = new byte[l];
+ for (int i = 0; i < l; i++)
+ update_alpha_status(i);
+ }
+
+ // initialize active set (for shrinking)
+ {
+ active_set = new int[l];
+ for (int i = 0; i < l; i++)
+ active_set[i] = i;
+ active_size = l;
+ }
+
+ // initialize gradient
+ {
+ G = new double[l];
+ G_bar = new double[l];
+ int i;
+ for (i = 0; i < l; i++)
+ {
+ G[i] = p[i];
+ G_bar[i] = 0;
+ }
+ for (i = 0; i < l; i++)
+ if (!is_lower_bound(i))
+ {
+ float[] Q_i = Q.GetQ(i, l);
+ double alpha_i = alpha[i];
+ int j;
+ for (j = 0; j < l; j++)
+ G[j] += alpha_i * Q_i[j];
+ if (is_upper_bound(i))
+ for (j = 0; j < l; j++)
+ G_bar[j] += get_C(i) * Q_i[j];
+ }
+ }
+
+ // optimization step
+
+ int iter = 0;
+ int max_iter = Math.Max(10000000, l > int.MaxValue / 100 ? int.MaxValue : 100 * l);
+ int counter = Math.Min(l, 1000) + 1;
+ int[] working_set = new int[2];
+
+ while (iter < max_iter)
+ {
+ // show progress and do shrinking
+
+ if (--counter == 0)
+ {
+ counter = Math.Min(l, 1000);
+ if (shrinking) do_shrinking();
+ Procedures.info(".");
+ }
+
+ if (select_working_set(working_set) != 0)
+ {
+ // reconstruct the whole gradient
+ reconstruct_gradient();
+ // reset active set size and check
+ active_size = l;
+ Procedures.info("*");
+ if (select_working_set(working_set) != 0)
+ break;
+ else
+ counter = 1; // do shrinking next iteration
+ }
+
+ int i = working_set[0];
+ int j = working_set[1];
+
+ ++iter;
+
+ // update alpha[i] and alpha[j], handle bounds carefully
+
+ float[] Q_i = Q.GetQ(i, active_size);
+ float[] Q_j = Q.GetQ(j, active_size);
+
+ double C_i = get_C(i);
+ double C_j = get_C(j);
+
+ double old_alpha_i = alpha[i];
+ double old_alpha_j = alpha[j];
+
+ if (y[i] != y[j])
+ {
+ double quad_coef = QD[i] + QD[j] + 2 * Q_i[j];
+ if (quad_coef <= 0)
+ quad_coef = 1e-12;
+ double delta = (-G[i] - G[j]) / quad_coef;
+ double diff = alpha[i] - alpha[j];
+ alpha[i] += delta;
+ alpha[j] += delta;
+
+ if (diff > 0)
+ {
+ if (alpha[j] < 0)
+ {
+ alpha[j] = 0;
+ alpha[i] = diff;
+ }
+ }
+ else
+ {
+ if (alpha[i] < 0)
+ {
+ alpha[i] = 0;
+ alpha[j] = -diff;
+ }
+ }
+ if (diff > C_i - C_j)
+ {
+ if (alpha[i] > C_i)
+ {
+ alpha[i] = C_i;
+ alpha[j] = C_i - diff;
+ }
+ }
+ else
+ {
+ if (alpha[j] > C_j)
+ {
+ alpha[j] = C_j;
+ alpha[i] = C_j + diff;
+ }
+ }
+ }
+ else
+ {
+ double quad_coef = QD[i] + QD[j] - 2 * Q_i[j];
+ if (quad_coef <= 0)
+ quad_coef = 1e-12;
+ double delta = (G[i] - G[j]) / quad_coef;
+ double sum = alpha[i] + alpha[j];
+ alpha[i] -= delta;
+ alpha[j] += delta;
+
+ if (sum > C_i)
+ {
+ if (alpha[i] > C_i)
+ {
+ alpha[i] = C_i;
+ alpha[j] = sum - C_i;
+ }
+ }
+ else
+ {
+ if (alpha[j] < 0)
+ {
+ alpha[j] = 0;
+ alpha[i] = sum;
+ }
+ }
+ if (sum > C_j)
+ {
+ if (alpha[j] > C_j)
+ {
+ alpha[j] = C_j;
+ alpha[i] = sum - C_j;
+ }
+ }
+ else
+ {
+ if (alpha[i] < 0)
+ {
+ alpha[i] = 0;
+ alpha[j] = sum;
+ }
+ }
+ }
+
+ // update G
+
+ double delta_alpha_i = alpha[i] - old_alpha_i;
+ double delta_alpha_j = alpha[j] - old_alpha_j;
+
+ for (int k = 0; k < active_size; k++)
+ {
+ G[k] += Q_i[k] * delta_alpha_i + Q_j[k] * delta_alpha_j;
+ }
+
+ // update alpha_status and G_bar
+
+ {
+ bool ui = is_upper_bound(i);
+ bool uj = is_upper_bound(j);
+ update_alpha_status(i);
+ update_alpha_status(j);
+ int k;
+ if (ui != is_upper_bound(i))
+ {
+ Q_i = Q.GetQ(i, l);
+ if (ui)
+ for (k = 0; k < l; k++)
+ G_bar[k] -= C_i * Q_i[k];
+ else
+ for (k = 0; k < l; k++)
+ G_bar[k] += C_i * Q_i[k];
+ }
+
+ if (uj != is_upper_bound(j))
+ {
+ Q_j = Q.GetQ(j, l);
+ if (uj)
+ for (k = 0; k < l; k++)
+ G_bar[k] -= C_j * Q_j[k];
+ else
+ for (k = 0; k < l; k++)
+ G_bar[k] += C_j * Q_j[k];
+ }
+ }
+
+ }
+
+ if (iter >= max_iter)
+ {
+ if (active_size < l)
+ {
+ // reconstruct the whole gradient to calculate objective value
+ reconstruct_gradient();
+ active_size = l;
+ Procedures.info("*");
+ }
+ Console.Error.Write("\nWARNING: reaching max number of iterations\n");
+ }
+
+ // calculate rho
+
+ si.rho = calculate_rho();
+
+ // calculate objective value
+ {
+ double v = 0;
+ int i;
+ for (i = 0; i < l; i++)
+ v += alpha[i] * (G[i] + p[i]);
+
+ si.obj = v / 2;
+ }
+
+ // put back the solution
+ {
+ for (int i = 0; i < l; i++)
+ alpha_[active_set[i]] = alpha[i];
+ }
+
+ si.upper_bound_p = Cp;
+ si.upper_bound_n = Cn;
+
+ Procedures.info("\noptimization finished, #iter = " + iter + "\n");
+ }
+
+ // return 1 if already optimal, return 0 otherwise
+ protected virtual int select_working_set(int[] working_set)
+ {
+ // return i,j such that
+ // i: maximizes -y_i * grad(f)_i, i in I_up(\alpha)
+ // j: mimimizes the decrease of obj value
+ // (if quadratic coefficeint <= 0, replace it with tau)
+ // -y_j*grad(f)_j < -y_i*grad(f)_i, j in I_low(\alpha)
+
+ double Gmax = -INF;
+ double Gmax2 = -INF;
+ int Gmax_idx = -1;
+ int Gmin_idx = -1;
+ double obj_diff_min = INF;
+
+ for (int t = 0; t < active_size; t++)
+ if (y[t] == +1)
+ {
+ if (!is_upper_bound(t))
+ if (-G[t] >= Gmax)
+ {
+ Gmax = -G[t];
+ Gmax_idx = t;
+ }
+ }
+ else
+ {
+ if (!is_lower_bound(t))
+ if (G[t] >= Gmax)
+ {
+ Gmax = G[t];
+ Gmax_idx = t;
+ }
+ }
+
+ int i = Gmax_idx;
+ float[] Q_i = null;
+ if (i != -1) // null Q_i not accessed: Gmax=-INF if i=-1
+ Q_i = Q.GetQ(i, active_size);
+
+ for (int j = 0; j < active_size; j++)
+ {
+ if (y[j] == +1)
+ {
+ if (!is_lower_bound(j))
+ {
+ double grad_diff = Gmax + G[j];
+ if (G[j] >= Gmax2)
+ Gmax2 = G[j];
+ if (grad_diff > 0)
+ {
+ double obj_diff;
+ double quad_coef = QD[i] + QD[j] - 2.0 * y[i] * Q_i[j];
+ if (quad_coef > 0)
+ obj_diff = -(grad_diff * grad_diff) / quad_coef;
+ else
+ obj_diff = -(grad_diff * grad_diff) / 1e-12;
+
+ if (obj_diff <= obj_diff_min)
+ {
+ Gmin_idx = j;
+ obj_diff_min = obj_diff;
+ }
+ }
+ }
+ }
+ else
+ {
+ if (!is_upper_bound(j))
+ {
+ double grad_diff = Gmax - G[j];
+ if (-G[j] >= Gmax2)
+ Gmax2 = -G[j];
+ if (grad_diff > 0)
+ {
+ double obj_diff;
+ double quad_coef = QD[i] + QD[j] + 2.0 * y[i] * Q_i[j];
+ if (quad_coef > 0)
+ obj_diff = -(grad_diff * grad_diff) / quad_coef;
+ else
+ obj_diff = -(grad_diff * grad_diff) / 1e-12;
+
+ if (obj_diff <= obj_diff_min)
+ {
+ Gmin_idx = j;
+ obj_diff_min = obj_diff;
+ }
+ }
+ }
+ }
+ }
+
+ if (Gmax + Gmax2 < eps)
+ return 1;
+
+ working_set[0] = Gmax_idx;
+ working_set[1] = Gmin_idx;
+ return 0;
+ }
+
+ private bool be_shrunk(int i, double Gmax1, double Gmax2)
+ {
+ if (is_upper_bound(i))
+ {
+ if (y[i] == +1)
+ return (-G[i] > Gmax1);
+ else
+ return (-G[i] > Gmax2);
+ }
+ else if (is_lower_bound(i))
+ {
+ if (y[i] == +1)
+ return (G[i] > Gmax2);
+ else
+ return (G[i] > Gmax1);
+ }
+ else
+ return (false);
+ }
+
+ protected virtual void do_shrinking()
+ {
+ int i;
+ double Gmax1 = -INF; // max { -y_i * grad(f)_i | i in I_up(\alpha) }
+ double Gmax2 = -INF; // max { y_i * grad(f)_i | i in I_low(\alpha) }
+
+ // find maximal violating pair first
+ for (i = 0; i < active_size; i++)
+ {
+ if (y[i] == +1)
+ {
+ if (!is_upper_bound(i))
+ {
+ if (-G[i] >= Gmax1)
+ Gmax1 = -G[i];
+ }
+ if (!is_lower_bound(i))
+ {
+ if (G[i] >= Gmax2)
+ Gmax2 = G[i];
+ }
+ }
+ else
+ {
+ if (!is_upper_bound(i))
+ {
+ if (-G[i] >= Gmax2)
+ Gmax2 = -G[i];
+ }
+ if (!is_lower_bound(i))
+ {
+ if (G[i] >= Gmax1)
+ Gmax1 = G[i];
+ }
+ }
+ }
+
+ if (unshrink == false && Gmax1 + Gmax2 <= eps * 10)
+ {
+ unshrink = true;
+ reconstruct_gradient();
+ active_size = l;
+ }
+
+ for (i = 0; i < active_size; i++)
+ if (be_shrunk(i, Gmax1, Gmax2))
+ {
+ active_size--;
+ while (active_size > i)
+ {
+ if (!be_shrunk(active_size, Gmax1, Gmax2))
+ {
+ swap_index(i, active_size);
+ break;
+ }
+ active_size--;
+ }
+ }
+ }
+
+ protected virtual double calculate_rho()
+ {
+ double r;
+ int nr_free = 0;
+ double ub = INF, lb = -INF, sum_free = 0;
+ for (int i = 0; i < active_size; i++)
+ {
+ double yG = y[i] * G[i];
+
+ if (is_lower_bound(i))
+ {
+ if (y[i] > 0)
+ ub = Math.Min(ub, yG);
+ else
+ lb = Math.Max(lb, yG);
+ }
+ else if (is_upper_bound(i))
+ {
+ if (y[i] < 0)
+ ub = Math.Min(ub, yG);
+ else
+ lb = Math.Max(lb, yG);
+ }
+ else
+ {
+ ++nr_free;
+ sum_free += yG;
+ }
+ }
+
+ if (nr_free > 0)
+ r = sum_free / nr_free;
+ else
+ r = (ub + lb) / 2;
+
+ return r;
+ }
+
+ }
+
+ //
+ // Solver for nu-svm classification and regression
+ //
+ // additional constraint: e^T \alpha = constant
+ //
+ sealed class Solver_NU : Solver
+ {
+ private SolutionInfo si;
+
+ public override void Solve(int l, IQMatrix Q, double[] p, sbyte[] y,
+ double[] alpha, double Cp, double Cn, double eps,
+ SolutionInfo si, bool shrinking)
+ {
+ this.si = si;
+ base.Solve(l, Q, p, y, alpha, Cp, Cn, eps, si, shrinking);
+ }
+
+ // return 1 if already optimal, return 0 otherwise
+ protected override int select_working_set(int[] working_set)
+ {
+ // return i,j such that y_i = y_j and
+ // i: maximizes -y_i * grad(f)_i, i in I_up(\alpha)
+ // j: minimizes the decrease of obj value
+ // (if quadratic coefficeint <= 0, replace it with tau)
+ // -y_j*grad(f)_j < -y_i*grad(f)_i, j in I_low(\alpha)
+
+ double Gmaxp = -INF;
+ double Gmaxp2 = -INF;
+ int Gmaxp_idx = -1;
+
+ double Gmaxn = -INF;
+ double Gmaxn2 = -INF;
+ int Gmaxn_idx = -1;
+
+ int Gmin_idx = -1;
+ double obj_diff_min = INF;
+
+ for (int t = 0; t < active_size; t++)
+ if (y[t] == +1)
+ {
+ if (!is_upper_bound(t))
+ if (-G[t] >= Gmaxp)
+ {
+ Gmaxp = -G[t];
+ Gmaxp_idx = t;
+ }
+ }
+ else
+ {
+ if (!is_lower_bound(t))
+ if (G[t] >= Gmaxn)
+ {
+ Gmaxn = G[t];
+ Gmaxn_idx = t;
+ }
+ }
+
+ int ip = Gmaxp_idx;
+ int iN = Gmaxn_idx;
+ float[] Q_ip = null;
+ float[] Q_in = null;
+ if (ip != -1) // null Q_ip not accessed: Gmaxp=-INF if ip=-1
+ Q_ip = Q.GetQ(ip, active_size);
+ if (iN != -1)
+ Q_in = Q.GetQ(iN, active_size);
+
+ for (int j = 0; j < active_size; j++)
+ {
+ if (y[j] == +1)
+ {
+ if (!is_lower_bound(j))
+ {
+ double grad_diff = Gmaxp + G[j];
+ if (G[j] >= Gmaxp2)
+ Gmaxp2 = G[j];
+ if (grad_diff > 0)
+ {
+ double obj_diff;
+ double quad_coef = QD[ip] + QD[j] - 2 * Q_ip[j];
+ if (quad_coef > 0)
+ obj_diff = -(grad_diff * grad_diff) / quad_coef;
+ else
+ obj_diff = -(grad_diff * grad_diff) / 1e-12;
+
+ if (obj_diff <= obj_diff_min)
+ {
+ Gmin_idx = j;
+ obj_diff_min = obj_diff;
+ }
+ }
+ }
+ }
+ else
+ {
+ if (!is_upper_bound(j))
+ {
+ double grad_diff = Gmaxn - G[j];
+ if (-G[j] >= Gmaxn2)
+ Gmaxn2 = -G[j];
+ if (grad_diff > 0)
+ {
+ double obj_diff;
+ double quad_coef = QD[iN] + QD[j] - 2 * Q_in[j];
+ if (quad_coef > 0)
+ obj_diff = -(grad_diff * grad_diff) / quad_coef;
+ else
+ obj_diff = -(grad_diff * grad_diff) / 1e-12;
+
+ if (obj_diff <= obj_diff_min)
+ {
+ Gmin_idx = j;
+ obj_diff_min = obj_diff;
+ }
+ }
+ }
+ }
+ }
+
+ if (Math.Max(Gmaxp + Gmaxp2, Gmaxn + Gmaxn2) < eps)
+ return 1;
+
+ if (y[Gmin_idx] == +1)
+ working_set[0] = Gmaxp_idx;
+ else
+ working_set[0] = Gmaxn_idx;
+ working_set[1] = Gmin_idx;
+
+ return 0;
+ }
+
+ private bool be_shrunk(int i, double Gmax1, double Gmax2, double Gmax3, double Gmax4)
+ {
+ if (is_upper_bound(i))
+ {
+ if (y[i] == +1)
+ return (-G[i] > Gmax1);
+ else
+ return (-G[i] > Gmax4);
+ }
+ else if (is_lower_bound(i))
+ {
+ if (y[i] == +1)
+ return (G[i] > Gmax2);
+ else
+ return (G[i] > Gmax3);
+ }
+ else
+ return (false);
+ }
+
+ protected override void do_shrinking()
+ {
+ double Gmax1 = -INF; // max { -y_i * grad(f)_i | y_i = +1, i in I_up(\alpha) }
+ double Gmax2 = -INF; // max { y_i * grad(f)_i | y_i = +1, i in I_low(\alpha) }
+ double Gmax3 = -INF; // max { -y_i * grad(f)_i | y_i = -1, i in I_up(\alpha) }
+ double Gmax4 = -INF; // max { y_i * grad(f)_i | y_i = -1, i in I_low(\alpha) }
+
+ // find maximal violating pair first
+ int i;
+ for (i = 0; i < active_size; i++)
+ {
+ if (!is_upper_bound(i))
+ {
+ if (y[i] == +1)
+ {
+ if (-G[i] > Gmax1) Gmax1 = -G[i];
+ }
+ else if (-G[i] > Gmax4) Gmax4 = -G[i];
+ }
+ if (!is_lower_bound(i))
+ {
+ if (y[i] == +1)
+ {
+ if (G[i] > Gmax2) Gmax2 = G[i];
+ }
+ else if (G[i] > Gmax3) Gmax3 = G[i];
+ }
+ }
+
+ if (unshrink == false && Math.Max(Gmax1 + Gmax2, Gmax3 + Gmax4) <= eps * 10)
+ {
+ unshrink = true;
+ reconstruct_gradient();
+ active_size = l;
+ }
+
+ for (i = 0; i < active_size; i++)
+ if (be_shrunk(i, Gmax1, Gmax2, Gmax3, Gmax4))
+ {
+ active_size--;
+ while (active_size > i)
+ {
+ if (!be_shrunk(active_size, Gmax1, Gmax2, Gmax3, Gmax4))
+ {
+ swap_index(i, active_size);
+ break;
+ }
+ active_size--;
+ }
+ }
+ }
+
+ protected override double calculate_rho()
+ {
+ int nr_free1 = 0, nr_free2 = 0;
+ double ub1 = INF, ub2 = INF;
+ double lb1 = -INF, lb2 = -INF;
+ double sum_free1 = 0, sum_free2 = 0;
+
+ for (int i = 0; i < active_size; i++)
+ {
+ if (y[i] == +1)
+ {
+ if (is_lower_bound(i))
+ ub1 = Math.Min(ub1, G[i]);
+ else if (is_upper_bound(i))
+ lb1 = Math.Max(lb1, G[i]);
+ else
+ {
+ ++nr_free1;
+ sum_free1 += G[i];
+ }
+ }
+ else
+ {
+ if (is_lower_bound(i))
+ ub2 = Math.Min(ub2, G[i]);
+ else if (is_upper_bound(i))
+ lb2 = Math.Max(lb2, G[i]);
+ else
+ {
+ ++nr_free2;
+ sum_free2 += G[i];
+ }
+ }
+ }
+
+ double r1, r2;
+ if (nr_free1 > 0)
+ r1 = sum_free1 / nr_free1;
+ else
+ r1 = (ub1 + lb1) / 2;
+
+ if (nr_free2 > 0)
+ r2 = sum_free2 / nr_free2;
+ else
+ r2 = (ub2 + lb2) / 2;
+
+ si.r = (r1 + r2) / 2;
+ return (r1 - r2) / 2;
+ }
+ }
+
+ //
+ // Q matrices for various formulations
+ //
+ class SVC_Q : Kernel
+ {
+ private readonly sbyte[] y;
+ private readonly Cache cache;
+ private readonly double[] QD;
+
+ public SVC_Q(Problem prob, Parameter param, sbyte[] y_)
+ : base(prob.Count, prob.X, param)
+ {
+ y = (sbyte[])y_.Clone();
+ cache = new Cache(prob.Count, (long)(param.CacheSize * (1 << 20)));
+ QD = new double[prob.Count];
+ for (int i = 0; i < prob.Count; i++)
+ QD[i] = KernelFunction(i, i);
+ }
+
+ public override float[] GetQ(int i, int len)
+ {
+ float[] data;
+ int start, j;
+ if ((start = cache.GetData(i, out data, len)) < len)
+ {
+ for (j = start; j < len; j++)
+ data[j] = (float)(y[i] * y[j] * KernelFunction(i, j));
+ }
+ return data;
+ }
+
+ public override double[] GetQD()
+ {
+ return QD;
+ }
+
+ public override void SwapIndex(int i, int j)
+ {
+ cache.SwapIndex(i, j);
+ base.SwapIndex(i, j);
+ do { sbyte _ = y[i]; y[i] = y[j]; y[j] = _; } while (false);
+ do { double _ = QD[i]; QD[i] = QD[j]; QD[j] = _; } while (false);
+ }
+ }
+
+ class ONE_CLASS_Q : Kernel
+ {
+ private readonly Cache cache;
+ private readonly double[] QD;
+
+ public ONE_CLASS_Q(Problem prob, Parameter param)
+ : base(prob.Count, prob.X, param)
+ {
+ cache = new Cache(prob.Count, (long)(param.CacheSize * (1 << 20)));
+ QD = new double[prob.Count];
+ for (int i = 0; i < prob.Count; i++)
+ QD[i] = KernelFunction(i, i);
+ }
+
+ public override float[] GetQ(int i, int len)
+ {
+ float[] data;
+ int start, j;
+ if ((start = cache.GetData(i, out data, len)) < len)
+ {
+ for (j = start; j < len; j++)
+ data[j] = (float)KernelFunction(i, j);
+ }
+ return data;
+ }
+
+ public override double[] GetQD()
+ {
+ return QD;
+ }
+
+ public override void SwapIndex(int i, int j)
+ {
+ cache.SwapIndex(i, j);
+ base.SwapIndex(i, j);
+ do { double _ = QD[i]; QD[i] = QD[j]; QD[j] = _; } while (false);
+ }
+ }
+
+ class SVR_Q : Kernel
+ {
+ private readonly int l;
+ private readonly Cache cache;
+ private readonly sbyte[] sign;
+ private readonly int[] index;
+ private int next_buffer;
+ private float[][] buffer;
+ private readonly double[] QD;
+
+ public SVR_Q(Problem prob, Parameter param)
+ : base(prob.Count, prob.X, param)
+ {
+ l = prob.Count;
+ cache = new Cache(l, (long)(param.CacheSize * (1 << 20)));
+ QD = new double[2 * l];
+ sign = new sbyte[2 * l];
+ index = new int[2 * l];
+ for (int k = 0; k < l; k++)
+ {
+ sign[k] = 1;
+ sign[k + l] = -1;
+ index[k] = k;
+ index[k + l] = k;
+ QD[k] = KernelFunction(k, k);
+ QD[k + l] = QD[k];
+ }
+ buffer = new float[][] { new float[2 * l], new float[2 * l] };
+ next_buffer = 0;
+ }
+
+ public override void SwapIndex(int i, int j)
+ {
+ do { sbyte _ = sign[i]; sign[i] = sign[j]; sign[j] = _; } while (false);
+ do { int _ = index[i]; index[i] = index[j]; index[j] = _; } while (false);
+ do { double _ = QD[i]; QD[i] = QD[j]; QD[j] = _; } while (false);
+ }
+
+ public override float[] GetQ(int i, int len)
+ {
+ float[] data;
+ int j, real_i = index[i];
+ if (cache.GetData(real_i, out data, l) < l)
+ {
+ for (j = 0; j < l; j++)
+ data[j] = (float)KernelFunction(real_i, j);
+ }
+
+ // reorder and copy
+ float[] buf = buffer[next_buffer];
+ next_buffer = 1 - next_buffer;
+ sbyte si = sign[i];
+ for (j = 0; j < len; j++)
+ buf[j] = (float)si * sign[j] * data[index[j]];
+ return buf;
+ }
+
+ public override double[] GetQD()
+ {
+ return QD;
+ }
+ }
+
+
+ internal static class Procedures
+ {
+ private static bool _verbose;
+ public static bool IsVerbose
+ {
+ get
+ {
+ return _verbose;
+ }
+ set
+ {
+ _verbose = value;
+ }
+ }
+
+ //
+ // construct and solve various formulations
+ //
+ public const int LIBSVM_VERSION = 318;
+ private static Random rand = new Random();
+
+ private static TextWriter svm_print_stdout = Console.Out;
+
+ public static void setRandomSeed(int seed)
+ {
+ rand = new Random(seed);
+ }
+
+ public static void info(String s)
+ {
+ if (IsVerbose)
+ svm_print_stdout.Write(s);
+ }
+
+ private static void solve_c_svc(Problem prob, Parameter param,
+ double[] alpha, Solver.SolutionInfo si,
+ double Cp, double Cn)
+ {
+ int l = prob.Count;
+ double[] minus_ones = new double[l];
+ sbyte[] y = new sbyte[l];
+
+ int i;
+
+ for (i = 0; i < l; i++)
+ {
+ alpha[i] = 0;
+ minus_ones[i] = -1;
+ if (prob.Y[i] > 0) y[i] = +1; else y[i] = -1;
+ }
+
+ Solver s = new Solver();
+ s.Solve(l, new SVC_Q(prob, param, y), minus_ones, y,
+ alpha, Cp, Cn, param.EPS, si, param.Shrinking);
+
+ double sum_alpha = 0;
+ for (i = 0; i < l; i++)
+ sum_alpha += alpha[i];
+
+ if (Cp == Cn)
+ info("nu = " + sum_alpha / (Cp * prob.Count) + "\n");
+
+ for (i = 0; i < l; i++)
+ alpha[i] *= y[i];
+ }
+
+ private static void solve_nu_svc(Problem prob, Parameter param,
+ double[] alpha, Solver.SolutionInfo si)
+ {
+ int i;
+ int l = prob.Count;
+ double nu = param.Nu;
+
+ sbyte[] y = new sbyte[l];
+
+ for (i = 0; i < l; i++)
+ if (prob.Y[i] > 0)
+ y[i] = +1;
+ else
+ y[i] = -1;
+
+ double sum_pos = nu * l / 2;
+ double sum_neg = nu * l / 2;
+
+ for (i = 0; i < l; i++)
+ if (y[i] == +1)
+ {
+ alpha[i] = Math.Min(1.0, sum_pos);
+ sum_pos -= alpha[i];
+ }
+ else
+ {
+ alpha[i] = Math.Min(1.0, sum_neg);
+ sum_neg -= alpha[i];
+ }
+
+ double[] zeros = new double[l];
+
+ for (i = 0; i < l; i++)
+ zeros[i] = 0;
+
+ Solver_NU s = new Solver_NU();
+ s.Solve(l, new SVC_Q(prob, param, y), zeros, y,
+ alpha, 1.0, 1.0, param.EPS, si, param.Shrinking);
+ double r = si.r;
+
+ info("C = " + 1 / r + "\n");
+
+ for (i = 0; i < l; i++)
+ alpha[i] *= y[i] / r;
+
+ si.rho /= r;
+ si.obj /= (r * r);
+ si.upper_bound_p = 1 / r;
+ si.upper_bound_n = 1 / r;
+ }
+
+ private static void solve_one_class(Problem prob, Parameter param,
+ double[] alpha, Solver.SolutionInfo si)
+ {
+ int l = prob.Count;
+ double[] zeros = new double[l];
+ sbyte[] ones = new sbyte[l];
+ int i;
+
+ int n = (int)(param.Nu * prob.Count); // # of alpha's at upper bound
+
+ for (i = 0; i < n; i++)
+ alpha[i] = 1;
+ if (n < prob.Count)
+ alpha[n] = param.Nu * prob.Count - n;
+ for (i = n + 1; i < l; i++)
+ alpha[i] = 0;
+
+ for (i = 0; i < l; i++)
+ {
+ zeros[i] = 0;
+ ones[i] = 1;
+ }
+
+ Solver s = new Solver();
+ s.Solve(l, new ONE_CLASS_Q(prob, param), zeros, ones,
+ alpha, 1.0, 1.0, param.EPS, si, param.Shrinking);
+ }
+
+ private static void solve_epsilon_svr(Problem prob, Parameter param,
+ double[] alpha, Solver.SolutionInfo si)
+ {
+ int l = prob.Count;
+ double[] alpha2 = new double[2 * l];
+ double[] linear_term = new double[2 * l];
+ sbyte[] y = new sbyte[2 * l];
+ int i;
+
+ for (i = 0; i < l; i++)
+ {
+ alpha2[i] = 0;
+ linear_term[i] = param.P - prob.Y[i];
+ y[i] = 1;
+
+ alpha2[i + l] = 0;
+ linear_term[i + l] = param.P + prob.Y[i];
+ y[i + l] = -1;
+ }
+
+ Solver s = new Solver();
+ s.Solve(2 * l, new SVR_Q(prob, param), linear_term, y,
+ alpha2, param.C, param.C, param.EPS, si, param.Shrinking);
+
+ double sum_alpha = 0;
+ for (i = 0; i < l; i++)
+ {
+ alpha[i] = alpha2[i] - alpha2[i + l];
+ sum_alpha += Math.Abs(alpha[i]);
+ }
+ info("nu = " + sum_alpha / (param.C * l) + "\n");
+ }
+
+ private static void solve_nu_svr(Problem prob, Parameter param,
+ double[] alpha, Solver.SolutionInfo si)
+ {
+ int l = prob.Count;
+ double C = param.C;
+ double[] alpha2 = new double[2 * l];
+ double[] linear_term = new double[2 * l];
+ sbyte[] y = new sbyte[2 * l];
+ int i;
+
+ double sum = C * param.Nu * l / 2;
+ for (i = 0; i < l; i++)
+ {
+ alpha2[i] = alpha2[i + l] = Math.Min(sum, C);
+ sum -= alpha2[i];
+
+ linear_term[i] = -prob.Y[i];
+ y[i] = 1;
+
+ linear_term[i + l] = prob.Y[i];
+ y[i + l] = -1;
+ }
+
+ Solver_NU s = new Solver_NU();
+ s.Solve(2 * l, new SVR_Q(prob, param), linear_term, y,
+ alpha2, C, C, param.EPS, si, param.Shrinking);
+
+ info("epsilon = " + (-si.r) + "\n");
+
+ for (i = 0; i < l; i++)
+ alpha[i] = alpha2[i] - alpha2[i + l];
+ }
+
+ //
+ // decision_function
+ //
+ private class decision_function
+ {
+ public double[] alpha { get; set; }
+ public double rho { get; set; }
+ };
+
+ static decision_function svm_train_one(
+ Problem prob, Parameter param,
+ double Cp, double Cn)
+ {
+ double[] alpha = new double[prob.Count];
+ Solver.SolutionInfo si = new Solver.SolutionInfo();
+ switch (param.SvmType)
+ {
+ case SvmType.C_SVC:
+ solve_c_svc(prob, param, alpha, si, Cp, Cn);
+ break;
+ case SvmType.NU_SVC:
+ solve_nu_svc(prob, param, alpha, si);
+ break;
+ case SvmType.ONE_CLASS:
+ solve_one_class(prob, param, alpha, si);
+ break;
+ case SvmType.EPSILON_SVR:
+ solve_epsilon_svr(prob, param, alpha, si);
+ break;
+ case SvmType.NU_SVR:
+ solve_nu_svr(prob, param, alpha, si);
+ break;
+ }
+
+ info("obj = " + si.obj + ", rho = " + si.rho + "\n");
+
+ // output SVs
+
+ int nSV = 0;
+ int nBSV = 0;
+ for (int i = 0; i < prob.Count; i++)
+ {
+ if (Math.Abs(alpha[i]) > 0)
+ {
+ ++nSV;
+ if (prob.Y[i] > 0)
+ {
+ if (Math.Abs(alpha[i]) >= si.upper_bound_p)
+ ++nBSV;
+ }
+ else
+ {
+ if (Math.Abs(alpha[i]) >= si.upper_bound_n)
+ ++nBSV;
+ }
+ }
+ }
+
+ info("nSV = " + nSV + ", nBSV = " + nBSV + "\n");
+
+ decision_function f = new decision_function();
+ f.alpha = alpha;
+ f.rho = si.rho;
+ return f;
+ }
+
+ // Platt's binary SVM Probablistic Output: an improvement from Lin et al.
+ private static void sigmoid_train(int l, double[] dec_values, double[] labels,
+ double[] probAB)
+ {
+ double A, B;
+ double prior1 = 0, prior0 = 0;
+ int i;
+
+ for (i = 0; i < l; i++)
+ if (labels[i] > 0) prior1 += 1;
+ else prior0 += 1;
+
+ int max_iter = 100; // Maximal number of iterations
+ double min_step = 1e-10; // Minimal step taken in line search
+ double sigma = 1e-12; // For numerically strict PD of Hessian
+ double eps = 1e-5;
+ double hiTarget = (prior1 + 1.0) / (prior1 + 2.0);
+ double loTarget = 1 / (prior0 + 2.0);
+ double[] t = new double[l];
+ double fApB, p, q, h11, h22, h21, g1, g2, det, dA, dB, gd, stepsize;
+ double newA, newB, newf, d1, d2;
+ int iter;
+
+ // Initial Point and Initial Fun Value
+ A = 0.0; B = Math.Log((prior0 + 1.0) / (prior1 + 1.0));
+ double fval = 0.0;
+
+ for (i = 0; i < l; i++)
+ {
+ if (labels[i] > 0) t[i] = hiTarget;
+ else t[i] = loTarget;
+ fApB = dec_values[i] * A + B;
+ if (fApB >= 0)
+ fval += t[i] * fApB + Math.Log(1 + Math.Exp(-fApB));
+ else
+ fval += (t[i] - 1) * fApB + Math.Log(1 + Math.Exp(fApB));
+ }
+ for (iter = 0; iter < max_iter; iter++)
+ {
+ // Update Gradient and Hessian (use H' = H + sigma I)
+ h11 = sigma; // numerically ensures strict PD
+ h22 = sigma;
+ h21 = 0.0; g1 = 0.0; g2 = 0.0;
+ for (i = 0; i < l; i++)
+ {
+ fApB = dec_values[i] * A + B;
+ if (fApB >= 0)
+ {
+ p = Math.Exp(-fApB) / (1.0 + Math.Exp(-fApB));
+ q = 1.0 / (1.0 + Math.Exp(-fApB));
+ }
+ else
+ {
+ p = 1.0 / (1.0 + Math.Exp(fApB));
+ q = Math.Exp(fApB) / (1.0 + Math.Exp(fApB));
+ }
+ d2 = p * q;
+ h11 += dec_values[i] * dec_values[i] * d2;
+ h22 += d2;
+ h21 += dec_values[i] * d2;
+ d1 = t[i] - p;
+ g1 += dec_values[i] * d1;
+ g2 += d1;
+ }
+
+ // Stopping Criteria
+ if (Math.Abs(g1) < eps && Math.Abs(g2) < eps)
+ break;
+
+ // Finding Newton direction: -inv(H') * g
+ det = h11 * h22 - h21 * h21;
+ dA = -(h22 * g1 - h21 * g2) / det;
+ dB = -(-h21 * g1 + h11 * g2) / det;
+ gd = g1 * dA + g2 * dB;
+
+
+ stepsize = 1; // Line Search
+ while (stepsize >= min_step)
+ {
+ newA = A + stepsize * dA;
+ newB = B + stepsize * dB;
+
+ // New function value
+ newf = 0.0;
+ for (i = 0; i < l; i++)
+ {
+ fApB = dec_values[i] * newA + newB;
+ if (fApB >= 0)
+ newf += t[i] * fApB + Math.Log(1 + Math.Exp(-fApB));
+ else
+ newf += (t[i] - 1) * fApB + Math.Log(1 + Math.Exp(fApB));
+ }
+ // Check sufficient decrease
+ if (newf < fval + 0.0001 * stepsize * gd)
+ {
+ A = newA; B = newB; fval = newf;
+ break;
+ }
+ else
+ stepsize = stepsize / 2.0;
+ }
+
+ if (stepsize < min_step)
+ {
+ info("Line search fails in two-class probability estimates\n");
+ break;
+ }
+ }
+
+ if (iter >= max_iter)
+ info("Reaching maximal iterations in two-class probability estimates\n");
+ probAB[0] = A; probAB[1] = B;
+ }
+
+ private static double sigmoid_predict(double decision_value, double A, double B)
+ {
+ double fApB = decision_value * A + B;
+ if (fApB >= 0)
+ return Math.Exp(-fApB) / (1.0 + Math.Exp(-fApB));
+ else
+ return 1.0 / (1 + Math.Exp(fApB));
+ }
+
+ // Method 2 from the multiclass_prob paper by Wu, Lin, and Weng
+ private static void multiclass_probability(int k, double[,] r, double[] p)
+ {
+ int t, j;
+ int iter = 0, max_iter = Math.Max(100, k);
+ double[,] Q = new double[k, k];
+ double[] Qp = new double[k];
+ double pQp, eps = 0.005 / k;
+
+ for (t = 0; t < k; t++)
+ {
+ p[t] = 1.0 / k; // Valid if k = 1
+ Q[t, t] = 0;
+ for (j = 0; j < t; j++)
+ {
+ Q[t, t] += r[j, t] * r[j, t];
+ Q[t, j] = Q[j, t];
+ }
+ for (j = t + 1; j < k; j++)
+ {
+ Q[t, t] += r[j, t] * r[j, t];
+ Q[t, j] = -r[j, t] * r[t, j];
+ }
+ }
+ for (iter = 0; iter < max_iter; iter++)
+ {
+ // stopping condition, recalculate QP,pQP for numerical accuracy
+ pQp = 0;
+ for (t = 0; t < k; t++)
+ {
+ Qp[t] = 0;
+ for (j = 0; j < k; j++)
+ Qp[t] += Q[t, j] * p[j];
+ pQp += p[t] * Qp[t];
+ }
+ double max_error = 0;
+ for (t = 0; t < k; t++)
+ {
+ double error = Math.Abs(Qp[t] - pQp);
+ if (error > max_error)
+ max_error = error;
+ }
+ if (max_error < eps) break;
+
+ for (t = 0; t < k; t++)
+ {
+ double diff = (-Qp[t] + pQp) / Q[t, t];
+ p[t] += diff;
+ pQp = (pQp + diff * (diff * Q[t, t] + 2 * Qp[t])) / (1 + diff) / (1 + diff);
+ for (j = 0; j < k; j++)
+ {
+ Qp[j] = (Qp[j] + diff * Q[t, j]) / (1 + diff);
+ p[j] /= (1 + diff);
+ }
+ }
+ }
+ if (iter >= max_iter)
+ info("Exceeds max_iter in multiclass_prob\n");
+ }
+
+ // Cross-validation decision values for probability estimates
+ private static void svm_binary_svc_probability(Problem prob, Parameter param, double Cp, double Cn, double[] probAB)
+ {
+ int i;
+ int nr_fold = 5;
+ int[] perm = new int[prob.Count];
+ double[] dec_values = new double[prob.Count];
+
+ // random shuffle
+ for (i = 0; i < prob.Count; i++) perm[i] = i;
+ for (i = 0; i < prob.Count; i++)
+ {
+ int j = i + rand.Next(prob.Count - i);
+ do { int _ = perm[i]; perm[i] = perm[j]; perm[j] = _; } while (false);
+ }
+ for (i = 0; i < nr_fold; i++)
+ {
+ int begin = i * prob.Count / nr_fold;
+ int end = (i + 1) * prob.Count / nr_fold;
+ int j, k;
+ Problem subprob = new Problem();
+
+ subprob.Count = prob.Count - (end - begin);
+ subprob.X = new Node[subprob.Count][];
+ subprob.Y = new double[subprob.Count];
+
+ k = 0;
+ for (j = 0; j < begin; j++)
+ {
+ subprob.X[k] = prob.X[perm[j]];
+ subprob.Y[k] = prob.Y[perm[j]];
+ ++k;
+ }
+ for (j = end; j < prob.Count; j++)
+ {
+ subprob.X[k] = prob.X[perm[j]];
+ subprob.Y[k] = prob.Y[perm[j]];
+ ++k;
+ }
+ int p_count = 0, n_count = 0;
+ for (j = 0; j < k; j++)
+ if (subprob.Y[j] > 0)
+ p_count++;
+ else
+ n_count++;
+
+ if (p_count == 0 && n_count == 0)
+ for (j = begin; j < end; j++)
+ dec_values[perm[j]] = 0;
+ else if (p_count > 0 && n_count == 0)
+ for (j = begin; j < end; j++)
+ dec_values[perm[j]] = 1;
+ else if (p_count == 0 && n_count > 0)
+ for (j = begin; j < end; j++)
+ dec_values[perm[j]] = -1;
+ else
+ {
+ Parameter subparam = (Parameter)param.Clone();
+ subparam.Probability = false;
+ subparam.C = 1.0;
+ subparam.Weights[1] = Cp;
+ subparam.Weights[-1] = Cn;
+ Model submodel = svm_train(subprob, subparam);
+ for (j = begin; j < end; j++)
+ {
+ double[] dec_value = new double[1];
+ svm_predict_values(submodel, prob.X[perm[j]], dec_value);
+ dec_values[perm[j]] = dec_value[0];
+ // ensure +1 -1 order; reason not using CV subroutine
+ dec_values[perm[j]] *= submodel.ClassLabels[0];
+ }
+ }
+ }
+ sigmoid_train(prob.Count, dec_values, prob.Y, probAB);
+ }
+
+ // Return parameter of a Laplace distribution
+ private static double svm_svr_probability(Problem prob, Parameter param)
+ {
+ int i;
+ int nr_fold = 5;
+ double[] ymv = new double[prob.Count];
+ double mae = 0;
+
+ Parameter newparam = (Parameter)param.Clone();
+ newparam.Probability = false;
+ svm_cross_validation(prob, newparam, nr_fold, ymv);
+ for (i = 0; i < prob.Count; i++)
+ {
+ ymv[i] = prob.Y[i] - ymv[i];
+ mae += Math.Abs(ymv[i]);
+ }
+ mae /= prob.Count;
+ double std = Math.Sqrt(2 * mae * mae);
+ int count = 0;
+ mae = 0;
+ for (i = 0; i < prob.Count; i++)
+ if (Math.Abs(ymv[i]) > 5 * std)
+ count = count + 1;
+ else
+ mae += Math.Abs(ymv[i]);
+ mae /= (prob.Count - count);
+ info("Prob. model for test data: target value = predicted value + z,\nz: Laplace distribution e^(-|z|/sigma)/(2sigma),sigma=" + mae + "\n");
+ return mae;
+ }
+
+ // label: label name, start: begin of each class, count: #data of classes, perm: indices to the original data
+ // perm, length l, must be allocated before calling this subroutine
+ private static void svm_group_classes(Problem prob, out int nr_class_ret, out int[] label_ret, out int[] start_ret, out int[] count_ret, int[] perm)
+ {
+ int l = prob.Count;
+ int max_nr_class = 16;
+ int nr_class = 0;
+ int[] label = new int[max_nr_class];
+ int[] count = new int[max_nr_class];
+ int[] data_label = new int[l];
+ int i;
+
+ for (i = 0; i < l; i++)
+ {
+ int this_label = (int)(prob.Y[i]);
+ int j;
+ for (j = 0; j < nr_class; j++)
+ {
+ if (this_label == label[j])
+ {
+ ++count[j];
+ break;
+ }
+ }
+ data_label[i] = j;
+ if (j == nr_class)
+ {
+ if (nr_class == max_nr_class)
+ {
+ max_nr_class *= 2;
+ int[] new_data = new int[max_nr_class];
+ Array.Copy(label, 0, new_data, 0, label.Length);
+ label = new_data;
+ new_data = new int[max_nr_class];
+ Array.Copy(count, 0, new_data, 0, count.Length);
+ count = new_data;
+ }
+ label[nr_class] = this_label;
+ count[nr_class] = 1;
+ ++nr_class;
+ }
+ }
+
+ //
+ // Labels are ordered by their first occurrence in the training set.
+ // However, for two-class sets with -1/+1 labels and -1 appears first,
+ // we swap labels to ensure that internally the binary SVM has positive data corresponding to the +1 instances.
+ //
+ if (nr_class == 2 && label[0] == -1 && label[1] == +1)
+ {
+ do { int _ = label[0]; label[0] = label[1]; label[1] = _; } while (false);
+ do { int _ = count[0]; count[0] = count[1]; count[1] = _; } while (false);
+ for (i = 0; i < l; i++)
+ {
+ if (data_label[i] == 0)
+ data_label[i] = 1;
+ else
+ data_label[i] = 0;
+ }
+ }
+
+ int[] start = new int[nr_class];
+ start[0] = 0;
+ for (i = 1; i < nr_class; i++)
+ start[i] = start[i - 1] + count[i - 1];
+ for (i = 0; i < l; i++)
+ {
+ perm[start[data_label[i]]] = i;
+ ++start[data_label[i]];
+ }
+ start[0] = 0;
+ for (i = 1; i < nr_class; i++)
+ start[i] = start[i - 1] + count[i - 1];
+
+ nr_class_ret = nr_class;
+ label_ret = label;
+ start_ret = start;
+ count_ret = count;
+ }
+
+ //
+ // Interface functions
+ //
+ public static Model svm_train(Problem prob, Parameter param)
+ {
+ Model model = new Model();
+ model.Parameter = param;
+
+ if (param.SvmType == SvmType.ONE_CLASS ||
+ param.SvmType == SvmType.EPSILON_SVR ||
+ param.SvmType == SvmType.NU_SVR)
+ {
+ // regression or one-class-svm
+ model.NumberOfClasses = 2;
+ model.ClassLabels = null;
+ model.NumberOfSVPerClass = null;
+ model.PairwiseProbabilityA = null; model.PairwiseProbabilityB = null;
+ model.SupportVectorCoefficients = new double[1][];
+
+ if (param.Probability &&
+ (param.SvmType == SvmType.EPSILON_SVR ||
+ param.SvmType == SvmType.NU_SVR))
+ {
+ model.PairwiseProbabilityA = new double[1];
+ model.PairwiseProbabilityA[0] = svm_svr_probability(prob, param);
+ }
+
+ decision_function f = svm_train_one(prob, param, 0, 0);
+ model.Rho = new double[1];
+ model.Rho[0] = f.rho;
+
+ int nSV = 0;
+ int i;
+ for (i = 0; i < prob.Count; i++)
+ if (Math.Abs(f.alpha[i]) > 0) ++nSV;
+ model.SupportVectorCount = nSV;
+ model.SupportVectors = new Node[nSV][];
+ model.SupportVectorCoefficients[0] = new double[nSV];
+ model.SupportVectorIndices = new int[nSV];
+ int j = 0;
+ for (i = 0; i < prob.Count; i++)
+ if (Math.Abs(f.alpha[i]) > 0)
+ {
+ model.SupportVectors[j] = prob.X[i];
+ model.SupportVectorCoefficients[0][j] = f.alpha[i];
+ model.SupportVectorIndices[j] = i + 1;
+ ++j;
+ }
+ }
+ else
+ {
+ // classification
+ int l = prob.Count;
+ int nr_class;
+ int[] label;
+ int[] start;
+ int[] count;
+ int[] perm = new int[l];
+
+ // group training data of the same class
+ svm_group_classes(prob, out nr_class, out label, out start, out count, perm);
+
+
+ if (nr_class == 1)
+ info("WARNING: training data in only one class. See README for details.\n");
+
+ Node[][] x = new Node[l][];
+ int i;
+ for (i = 0; i < l; i++)
+ x[i] = prob.X[perm[i]];
+
+ // calculate weighted C
+
+ double[] weighted_C = new double[nr_class];
+ for (i = 0; i < nr_class; i++)
+ weighted_C[i] = param.C;
+ for (i = 0; i < nr_class; i++)
+ {
+ if (!param.Weights.ContainsKey(label[i]))
+ Console.Error.Write("WARNING: class label " + label[i] + " specified in weight is not found\n");
+ else
+ weighted_C[i] *= param.Weights[label[i]];
+ }
+
+ // train k*(k-1)/2 models
+
+ bool[] nonzero = new bool[l];
+ for (i = 0; i < l; i++)
+ nonzero[i] = false;
+ decision_function[] f = new decision_function[nr_class * (nr_class - 1) / 2];
+
+ double[] probA = null, probB = null;
+ if (param.Probability)
+ {
+ probA = new double[nr_class * (nr_class - 1) / 2];
+ probB = new double[nr_class * (nr_class - 1) / 2];
+ }
+
+ int p = 0;
+ for (i = 0; i < nr_class; i++)
+ for (int j = i + 1; j < nr_class; j++)
+ {
+ Problem sub_prob = new Problem();
+ int si = start[i], sj = start[j];
+ int ci = count[i], cj = count[j];
+ sub_prob.Count = ci + cj;
+ sub_prob.X = new Node[sub_prob.Count][];
+ sub_prob.Y = new double[sub_prob.Count];
+ int k;
+ for (k = 0; k < ci; k++)
+ {
+ sub_prob.X[k] = x[si + k];
+ sub_prob.Y[k] = +1;
+ }
+ for (k = 0; k < cj; k++)
+ {
+ sub_prob.X[ci + k] = x[sj + k];
+ sub_prob.Y[ci + k] = -1;
+ }
+
+ if (param.Probability)
+ {
+ double[] probAB = new double[2];
+ svm_binary_svc_probability(sub_prob, param, weighted_C[i], weighted_C[j], probAB);
+ probA[p] = probAB[0];
+ probB[p] = probAB[1];
+ }
+
+ f[p] = svm_train_one(sub_prob, param, weighted_C[i], weighted_C[j]);
+ for (k = 0; k < ci; k++)
+ if (!nonzero[si + k] && Math.Abs(f[p].alpha[k]) > 0)
+ nonzero[si + k] = true;
+ for (k = 0; k < cj; k++)
+ if (!nonzero[sj + k] && Math.Abs(f[p].alpha[ci + k]) > 0)
+ nonzero[sj + k] = true;
+ ++p;
+ }
+
+ // build output
+
+ model.NumberOfClasses = nr_class;
+
+ model.ClassLabels = new int[nr_class];
+ for (i = 0; i < nr_class; i++)
+ model.ClassLabels[i] = label[i];
+
+ model.Rho = new double[nr_class * (nr_class - 1) / 2];
+ for (i = 0; i < nr_class * (nr_class - 1) / 2; i++)
+ model.Rho[i] = f[i].rho;
+
+ if (param.Probability)
+ {
+ model.PairwiseProbabilityA = new double[nr_class * (nr_class - 1) / 2];
+ model.PairwiseProbabilityB = new double[nr_class * (nr_class - 1) / 2];
+ for (i = 0; i < nr_class * (nr_class - 1) / 2; i++)
+ {
+ model.PairwiseProbabilityA[i] = probA[i];
+ model.PairwiseProbabilityB[i] = probB[i];
+ }
+ }
+ else
+ {
+ model.PairwiseProbabilityA = null;
+ model.PairwiseProbabilityA = null;
+ }
+
+ int nnz = 0;
+ int[] nz_count = new int[nr_class];
+ model.NumberOfSVPerClass = new int[nr_class];
+ for (i = 0; i < nr_class; i++)
+ {
+ int nSV = 0;
+ for (int j = 0; j < count[i]; j++)
+ if (nonzero[start[i] + j])
+ {
+ ++nSV;
+ ++nnz;
+ }
+ model.NumberOfSVPerClass[i] = nSV;
+ nz_count[i] = nSV;
+ }
+
+ info("Total nSV = " + nnz + "\n");
+
+ model.SupportVectorCount = nnz;
+ model.SupportVectors = new Node[nnz][];
+ model.SupportVectorIndices = new int[nnz];
+ p = 0;
+ for (i = 0; i < l; i++)
+ if (nonzero[i])
+ {
+ model.SupportVectors[p] = x[i];
+ model.SupportVectorIndices[p++] = perm[i] + 1;
+ }
+
+ int[] nz_start = new int[nr_class];
+ nz_start[0] = 0;
+ for (i = 1; i < nr_class; i++)
+ nz_start[i] = nz_start[i - 1] + nz_count[i - 1];
+
+ model.SupportVectorCoefficients = new double[nr_class - 1][];
+ for (i = 0; i < nr_class - 1; i++)
+ model.SupportVectorCoefficients[i] = new double[nnz];
+
+ p = 0;
+ for (i = 0; i < nr_class; i++)
+ for (int j = i + 1; j < nr_class; j++)
+ {
+ // classifier (i,j): coefficients with
+ // i are in sv_coef[j-1][nz_start[i]...],
+ // j are in sv_coef[i][nz_start[j]...]
+
+ int si = start[i];
+ int sj = start[j];
+ int ci = count[i];
+ int cj = count[j];
+
+ int q = nz_start[i];
+ int k;
+ for (k = 0; k < ci; k++)
+ if (nonzero[si + k])
+ model.SupportVectorCoefficients[j - 1][q++] = f[p].alpha[k];
+ q = nz_start[j];
+ for (k = 0; k < cj; k++)
+ if (nonzero[sj + k])
+ model.SupportVectorCoefficients[i][q++] = f[p].alpha[ci + k];
+ ++p;
+ }
+ }
+ return model;
+ }
+
+ // Stratified cross validation
+ public static void svm_cross_validation(Problem prob, Parameter param, int nr_fold, double[] target)
+ {
+ int i;
+ int[] fold_start = new int[nr_fold + 1];
+ int l = prob.Count;
+ int[] perm = new int[l];
+
+ // stratified cv may not give leave-one-out rate
+ // Each class to l folds -> some folds may have zero elements
+ if ((param.SvmType == SvmType.C_SVC ||
+ param.SvmType == SvmType.NU_SVC) && nr_fold < l)
+ {
+ int nr_class;
+ int[] label;
+ int[] start;
+ int[] count;
+
+ svm_group_classes(prob, out nr_class, out label, out start, out count, perm);
+
+
+ // random shuffle and then data grouped by fold using the array perm
+ int[] fold_count = new int[nr_fold];
+ int c;
+ int[] index = new int[l];
+ for (i = 0; i < l; i++)
+ index[i] = perm[i];
+ for (c = 0; c < nr_class; c++)
+ for (i = 0; i < count[c]; i++)
+ {
+ int j = i + rand.Next(count[c] - i);
+ do { int _ = index[start[c] + j]; index[start[c] + j] = index[start[c] + i]; index[start[c] + i] = _; } while (false);
+ }
+ for (i = 0; i < nr_fold; i++)
+ {
+ fold_count[i] = 0;
+ for (c = 0; c < nr_class; c++)
+ fold_count[i] += (i + 1) * count[c] / nr_fold - i * count[c] / nr_fold;
+ }
+ fold_start[0] = 0;
+ for (i = 1; i <= nr_fold; i++)
+ fold_start[i] = fold_start[i - 1] + fold_count[i - 1];
+ for (c = 0; c < nr_class; c++)
+ for (i = 0; i < nr_fold; i++)
+ {
+ int begin = start[c] + i * count[c] / nr_fold;
+ int end = start[c] + (i + 1) * count[c] / nr_fold;
+ for (int j = begin; j < end; j++)
+ {
+ perm[fold_start[i]] = index[j];
+ fold_start[i]++;
+ }
+ }
+ fold_start[0] = 0;
+ for (i = 1; i <= nr_fold; i++)
+ fold_start[i] = fold_start[i - 1] + fold_count[i - 1];
+ }
+ else
+ {
+ for (i = 0; i < l; i++) perm[i] = i;
+ for (i = 0; i < l; i++)
+ {
+ int j = i + rand.Next(l - i);
+ do { int _ = perm[i]; perm[i] = perm[j]; perm[j] = _; } while (false);
+ }
+ for (i = 0; i <= nr_fold; i++)
+ fold_start[i] = i * l / nr_fold;
+ }
+
+ for (i = 0; i < nr_fold; i++)
+ {
+ int begin = fold_start[i];
+ int end = fold_start[i + 1];
+ int j, k;
+ Problem subprob = new Problem();
+
+ subprob.Count = l - (end - begin);
+ subprob.X = new Node[subprob.Count][];
+ subprob.Y = new double[subprob.Count];
+
+ k = 0;
+ for (j = 0; j < begin; j++)
+ {
+ subprob.X[k] = prob.X[perm[j]];
+ subprob.Y[k] = prob.Y[perm[j]];
+ ++k;
+ }
+ for (j = end; j < l; j++)
+ {
+ subprob.X[k] = prob.X[perm[j]];
+ subprob.Y[k] = prob.Y[perm[j]];
+ ++k;
+ }
+ Model submodel = svm_train(subprob, param);
+ if (param.Probability &&
+ (param.SvmType == SvmType.C_SVC ||
+ param.SvmType == SvmType.NU_SVC))
+ {
+ double[] prob_estimates = new double[svm_get_nr_class(submodel)];
+ for (j = begin; j < end; j++)
+ target[perm[j]] = svm_predict_probability(submodel, prob.X[perm[j]], prob_estimates);
+ }
+ else
+ for (j = begin; j < end; j++)
+ target[perm[j]] = svm_predict(submodel, prob.X[perm[j]]);
+ }
+ }
+
+ public static SvmType svm_get_svm_type(Model model)
+ {
+ return model.Parameter.SvmType;
+ }
+
+ public static int svm_get_nr_class(Model model)
+ {
+ return model.NumberOfClasses;
+ }
+
+ public static void svm_get_labels(Model model, int[] label)
+ {
+ if (model.ClassLabels != null)
+ for (int i = 0; i < model.NumberOfClasses; i++)
+ label[i] = model.ClassLabels[i];
+ }
+
+ public static void svm_get_sv_indices(Model model, int[] indices)
+ {
+ if (model.SupportVectorIndices != null)
+ for (int i = 0; i < model.SupportVectorCount; i++)
+ indices[i] = model.SupportVectorIndices[i];
+ }
+
+ public static int svm_get_nr_sv(Model model)
+ {
+ return model.SupportVectorCount;
+ }
+
+ public static double svm_get_svr_probability(Model model)
+ {
+ if ((model.Parameter.SvmType == SvmType.EPSILON_SVR || model.Parameter.SvmType == SvmType.NU_SVR) &&
+ model.PairwiseProbabilityA != null)
+ return model.PairwiseProbabilityA[0];
+ else
+ {
+ Console.Error.Write("Model doesn't contain information for SVR probability inference\n");
+ return 0;
+ }
+ }
+
+ public static double svm_predict_values(Model model, Node[] x, double[] dec_values)
+ {
+ int i;
+ if (model.Parameter.SvmType == SvmType.ONE_CLASS ||
+ model.Parameter.SvmType == SvmType.EPSILON_SVR ||
+ model.Parameter.SvmType == SvmType.NU_SVR)
+ {
+ double[] sv_coef = model.SupportVectorCoefficients[0];
+ double sum = 0;
+ for (i = 0; i < model.SupportVectorCount; i++)
+ sum += sv_coef[i] * Kernel.KernelFunction(x, model.SupportVectors[i], model.Parameter);
+ sum -= model.Rho[0];
+ dec_values[0] = sum;
+
+ if (model.Parameter.SvmType == SvmType.ONE_CLASS)
+ return (sum > 0) ? 1 : -1;
+ else
+ return sum;
+ }
+ else
+ {
+ int nr_class = model.NumberOfClasses;
+ int l = model.SupportVectorCount;
+
+ double[] kvalue = new double[l];
+ for (i = 0; i < l; i++)
+ kvalue[i] = Kernel.KernelFunction(x, model.SupportVectors[i], model.Parameter);
+
+ int[] start = new int[nr_class];
+ start[0] = 0;
+ for (i = 1; i < nr_class; i++)
+ start[i] = start[i - 1] + model.NumberOfSVPerClass[i - 1];
+
+ int[] vote = new int[nr_class];
+ for (i = 0; i < nr_class; i++)
+ vote[i] = 0;
+
+ int p = 0;
+ for (i = 0; i < nr_class; i++)
+ for (int j = i + 1; j < nr_class; j++)
+ {
+ double sum = 0;
+ int si = start[i];
+ int sj = start[j];
+ int ci = model.NumberOfSVPerClass[i];
+ int cj = model.NumberOfSVPerClass[j];
+
+ int k;
+ double[] coef1 = model.SupportVectorCoefficients[j - 1];
+ double[] coef2 = model.SupportVectorCoefficients[i];
+ for (k = 0; k < ci; k++)
+ sum += coef1[si + k] * kvalue[si + k];
+ for (k = 0; k < cj; k++)
+ sum += coef2[sj + k] * kvalue[sj + k];
+ sum -= model.Rho[p];
+ dec_values[p] = sum;
+
+ if (dec_values[p] > 0)
+ ++vote[i];
+ else
+ ++vote[j];
+ p++;
+ }
+
+ int vote_max_idx = 0;
+ for (i = 1; i < nr_class; i++)
+ if (vote[i] > vote[vote_max_idx])
+ vote_max_idx = i;
+
+ return model.ClassLabels[vote_max_idx];
+ }
+ }
+
+ public static double svm_predict(Model model, Node[] x)
+ {
+ int nr_class = model.NumberOfClasses;
+ double[] dec_values;
+ if (model.Parameter.SvmType == SvmType.ONE_CLASS ||
+ model.Parameter.SvmType == SvmType.EPSILON_SVR ||
+ model.Parameter.SvmType == SvmType.NU_SVR)
+ dec_values = new double[1];
+ else
+ dec_values = new double[nr_class * (nr_class - 1) / 2];
+ double pred_result = svm_predict_values(model, x, dec_values);
+ return pred_result;
+ }
+
+ public static double svm_predict_probability(Model model, Node[] x, double[] prob_estimates)
+ {
+ if ((model.Parameter.SvmType == SvmType.C_SVC || model.Parameter.SvmType == SvmType.NU_SVC) &&
+ model.PairwiseProbabilityA != null && model.PairwiseProbabilityB != null)
+ {
+ int i;
+ int nr_class = model.NumberOfClasses;
+ double[] dec_values = new double[nr_class * (nr_class - 1) / 2];
+ svm_predict_values(model, x, dec_values);
+
+ double min_prob = 1e-7;
+ double[,] pairwise_prob = new double[nr_class, nr_class];
+
+ int k = 0;
+ for (i = 0; i < nr_class; i++)
+ for (int j = i + 1; j < nr_class; j++)
+ {
+ pairwise_prob[i, j] = Math.Min(Math.Max(sigmoid_predict(dec_values[k], model.PairwiseProbabilityA[k], model.PairwiseProbabilityB[k]), min_prob), 1 - min_prob);
+ pairwise_prob[j, i] = 1 - pairwise_prob[i, j];
+ k++;
+ }
+ multiclass_probability(nr_class, pairwise_prob, prob_estimates);
+
+ int prob_max_idx = 0;
+ for (i = 1; i < nr_class; i++)
+ if (prob_estimates[i] > prob_estimates[prob_max_idx])
+ prob_max_idx = i;
+ return model.ClassLabels[prob_max_idx];
+ }
+ else
+ return svm_predict(model, x);
+ }
+
+ public static String svm_check_parameter(Problem prob, Parameter param)
+ {
+ // svm_type
+
+ SvmType svm_type = param.SvmType;
+
+ // kernel_type, degree
+
+ KernelType kernel_type = param.KernelType;
+
+ if (param.Gamma < 0)
+ return "gamma < 0";
+
+ if (param.Degree < 0)
+ return "degree of polynomial kernel < 0";
+
+ // cache_size,eps,C,nu,p,shrinking
+
+ if (param.CacheSize <= 0)
+ return "cache_size <= 0";
+
+ if (param.EPS <= 0)
+ return "eps <= 0";
+
+ if (svm_type == SvmType.C_SVC ||
+ svm_type == SvmType.EPSILON_SVR ||
+ svm_type == SvmType.NU_SVR)
+ if (param.C <= 0)
+ return "C <= 0";
+
+ if (svm_type == SvmType.NU_SVC ||
+ svm_type == SvmType.ONE_CLASS ||
+ svm_type == SvmType.NU_SVR)
+ if (param.Nu <= 0 || param.Nu > 1)
+ return "nu <= 0 or nu > 1";
+
+ if (svm_type == SvmType.EPSILON_SVR)
+ if (param.P < 0)
+ return "p < 0";
+
+ if (param.Probability &&
+ svm_type == SvmType.ONE_CLASS)
+ return "one-class SVM probability output not supported yet";
+
+ // check whether nu-svc is feasible
+
+ if (svm_type == SvmType.NU_SVC)
+ {
+ int l = prob.Count;
+ int max_nr_class = 16;
+ int nr_class = 0;
+ int[] label = new int[max_nr_class];
+ int[] count = new int[max_nr_class];
+
+ int i;
+ for (i = 0; i < l; i++)
+ {
+ int this_label = (int)prob.Y[i];
+ int j;
+ for (j = 0; j < nr_class; j++)
+ if (this_label == label[j])
+ {
+ ++count[j];
+ break;
+ }
+
+ if (j == nr_class)
+ {
+ if (nr_class == max_nr_class)
+ {
+ max_nr_class *= 2;
+ int[] new_data = new int[max_nr_class];
+ Array.Copy(label, 0, new_data, 0, label.Length);
+ label = new_data;
+
+ new_data = new int[max_nr_class];
+ Array.Copy(count, 0, new_data, 0, count.Length);
+ count = new_data;
+ }
+ label[nr_class] = this_label;
+ count[nr_class] = 1;
+ ++nr_class;
+ }
+ }
+
+ for (i = 0; i < nr_class; i++)
+ {
+ int n1 = count[i];
+ for (int j = i + 1; j < nr_class; j++)
+ {
+ int n2 = count[j];
+ if (param.Nu * (n1 + n2) / 2 > Math.Min(n1, n2))
+ return "specified nu is infeasible";
+ }
+ }
+ }
+
+ return null;
+ }
+
+ public static int svm_check_probability_model(Model model)
+ {
+ if (((model.Parameter.SvmType == SvmType.C_SVC || model.Parameter.SvmType == SvmType.NU_SVC) &&
+ model.PairwiseProbabilityA != null && model.PairwiseProbabilityB != null) ||
+ ((model.Parameter.SvmType == SvmType.EPSILON_SVR || model.Parameter.SvmType == SvmType.NU_SVR) &&
+ model.PairwiseProbabilityA != null))
+ return 1;
+ else
+ return 0;
+ }
+ }
+}
diff --git a/BotSharp.MachineLearning/SVM/TemporaryCulture.cs b/BotSharp.MachineLearning/SVM/TemporaryCulture.cs
new file mode 100644
index 00000000..0b451e3c
--- /dev/null
+++ b/BotSharp.MachineLearning/SVM/TemporaryCulture.cs
@@ -0,0 +1,25 @@
+using System;
+using System.Collections.Generic;
+using System.Linq;
+using System.Text;
+using System.Globalization;
+using System.Threading;
+
+namespace SVM.BotSharp.MachineLearning
+{
+ internal static class TemporaryCulture
+ {
+ private static CultureInfo _culture;
+
+ public static void Start()
+ {
+ _culture = Thread.CurrentThread.CurrentCulture;
+ Thread.CurrentThread.CurrentCulture = CultureInfo.InvariantCulture;
+ }
+
+ public static void Stop()
+ {
+ Thread.CurrentThread.CurrentCulture = _culture;
+ }
+ }
+}
diff --git a/BotSharp.MachineLearning/SVM/Training.cs b/BotSharp.MachineLearning/SVM/Training.cs
new file mode 100644
index 00000000..87ae2a80
--- /dev/null
+++ b/BotSharp.MachineLearning/SVM/Training.cs
@@ -0,0 +1,232 @@
+/*
+ * SVM.NET Library
+ * Copyright (C) 2008 Matthew Johnson
+ *
+ * This program is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation, either version 3 of the License, or
+ * (at your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program. If not, see .
+ */
+
+
+using System;
+using System.Collections.Generic;
+
+namespace SVM.BotSharp.MachineLearning
+{
+ ///
+ /// Class containing the routines to train SVM models.
+ ///
+ public static class Training
+ {
+ ///
+ /// Whether the system will output information to the console during the training process.
+ ///
+ public static bool IsVerbose
+ {
+ get
+ {
+ return Procedures.IsVerbose;
+ }
+ set
+ {
+ Procedures.IsVerbose = value;
+ }
+ }
+
+ private static double doCrossValidation(Problem problem, Parameter parameters, int nr_fold)
+ {
+ int i;
+ double[] target = new double[problem.Count];
+ Procedures.svm_cross_validation(problem, parameters, nr_fold, target);
+ int total_correct = 0;
+ double total_error = 0;
+ double sumv = 0, sumy = 0, sumvv = 0, sumyy = 0, sumvy = 0;
+ if (parameters.SvmType == SvmType.EPSILON_SVR || parameters.SvmType == SvmType.NU_SVR)
+ {
+ for (i = 0; i < problem.Count; i++)
+ {
+ double y = problem.Y[i];
+ double v = target[i];
+ total_error += (v - y) * (v - y);
+ sumv += v;
+ sumy += y;
+ sumvv += v * v;
+ sumyy += y * y;
+ sumvy += v * y;
+ }
+ return(problem.Count * sumvy - sumv * sumy) / (Math.Sqrt(problem.Count * sumvv - sumv * sumv) * Math.Sqrt(problem.Count * sumyy - sumy * sumy));
+ }
+ else
+ for (i = 0; i < problem.Count; i++)
+ if (target[i] == problem.Y[i])
+ ++total_correct;
+ return (double)total_correct / problem.Count;
+ }
+
+ public static void SetRandomSeed(int seed)
+ {
+ Procedures.setRandomSeed(seed);
+ }
+
+ ///
+ /// Legacy. Allows use as if this was svm_train. See libsvm documentation for details on which arguments to pass.
+ ///
+ ///
+ [Obsolete("Provided only for legacy compatibility, use the other Train() methods")]
+ public static void Train(params string[] args)
+ {
+ Parameter parameters;
+ Problem problem;
+ bool crossValidation;
+ int nrfold;
+ string modelFilename;
+ parseCommandLine(args, out parameters, out problem, out crossValidation, out nrfold, out modelFilename);
+ if (crossValidation)
+ PerformCrossValidation(problem, parameters, nrfold);
+ else Model.Write(modelFilename, Train(problem, parameters));
+ }
+
+ ///
+ /// Performs cross validation.
+ ///
+ /// The training data
+ /// The parameters to test
+ /// The number of cross validations to use
+ /// The cross validation score
+ public static double PerformCrossValidation(Problem problem, Parameter parameters, int nrfold)
+ {
+ string error = Procedures.svm_check_parameter(problem, parameters);
+ if (error == null)
+ return doCrossValidation(problem, parameters, nrfold);
+ else throw new Exception(error);
+ }
+
+ ///
+ /// Trains a model using the provided training data and parameters.
+ ///
+ /// The training data
+ /// The parameters to use
+ /// A trained SVM Model
+ public static Model Train(Problem problem, Parameter parameters)
+ {
+ string error = Procedures.svm_check_parameter(problem, parameters);
+
+ if (error == null)
+ return Procedures.svm_train(problem, parameters);
+ else throw new Exception(error);
+ }
+
+ private static void parseCommandLine(string[] args, out Parameter parameters, out Problem problem, out bool crossValidation, out int nrfold, out string modelFilename)
+ {
+ int i;
+
+ parameters = new Parameter();
+ // default values
+
+ crossValidation = false;
+ nrfold = 0;
+
+ // parse options
+ for (i = 0; i < args.Length; i++)
+ {
+ if (args[i][0] != '-')
+ break;
+ ++i;
+ switch (args[i - 1][1])
+ {
+
+ case 's':
+ parameters.SvmType = (SvmType)int.Parse(args[i]);
+ break;
+
+ case 't':
+ parameters.KernelType = (KernelType)int.Parse(args[i]);
+ break;
+
+ case 'd':
+ parameters.Degree = int.Parse(args[i]);
+ break;
+
+ case 'g':
+ parameters.Gamma = double.Parse(args[i]);
+ break;
+
+ case 'r':
+ parameters.Coefficient0 = double.Parse(args[i]);
+ break;
+
+ case 'n':
+ parameters.Nu = double.Parse(args[i]);
+ break;
+
+ case 'm':
+ parameters.CacheSize = double.Parse(args[i]);
+ break;
+
+ case 'c':
+ parameters.C = double.Parse(args[i]);
+ break;
+
+ case 'e':
+ parameters.EPS = double.Parse(args[i]);
+ break;
+
+ case 'p':
+ parameters.P = double.Parse(args[i]);
+ break;
+
+ case 'h':
+ parameters.Shrinking = int.Parse(args[i]) == 1;
+ break;
+
+ case 'b':
+ parameters.Probability = int.Parse(args[i]) == 1;
+ break;
+
+ case 'v':
+ crossValidation = true;
+ nrfold = int.Parse(args[i]);
+ if (nrfold < 2)
+ {
+ throw new ArgumentException("n-fold cross validation: n must >= 2");
+ }
+ break;
+
+ case 'w':
+ parameters.Weights[int.Parse(args[i - 1].Substring(2))] = double.Parse(args[1]);
+ break;
+
+ default:
+ throw new ArgumentException("Unknown Parameter");
+ }
+ }
+
+ // determine filenames
+
+ if (i >= args.Length)
+ throw new ArgumentException("No input file specified");
+
+ problem = Problem.Read(args[i]);
+
+ if (parameters.Gamma == 0)
+ parameters.Gamma = 1.0 / problem.MaxIndex;
+
+ if (i < args.Length - 1)
+ modelFilename = args[i + 1];
+ else
+ {
+ int p = args[i].LastIndexOf('/') + 1;
+ modelFilename = args[i].Substring(p) + ".model";
+ }
+ }
+ }
+}
\ No newline at end of file
diff --git a/BotSharp.NLP/BotSharp.NLP.csproj b/BotSharp.NLP/BotSharp.NLP.csproj
index cc3c0a66..b078963b 100644
--- a/BotSharp.NLP/BotSharp.NLP.csproj
+++ b/BotSharp.NLP/BotSharp.NLP.csproj
@@ -18,7 +18,7 @@
-
+
diff --git a/BotSharp.NLP/Stem/RegexStemmer.cs b/BotSharp.NLP/Stem/RegexStemmer.cs
index d33c4fb7..4d98c21e 100644
--- a/BotSharp.NLP/Stem/RegexStemmer.cs
+++ b/BotSharp.NLP/Stem/RegexStemmer.cs
@@ -1,4 +1,22 @@
-using System;
+/*
+ * BotSharp.NLP Library
+ * Copyright (C) 2018 Haiping Chen
+ *
+ * This program is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation, either version 3 of the License, or
+ * (at your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program. If not, see .
+ */
+
+using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
diff --git a/BotSharp.NLP/Tag/NGramTagger.cs b/BotSharp.NLP/Tag/NGramTagger.cs
index f9b3e38b..9b73b493 100644
--- a/BotSharp.NLP/Tag/NGramTagger.cs
+++ b/BotSharp.NLP/Tag/NGramTagger.cs
@@ -1,4 +1,22 @@
-using System;
+/*
+ * BotSharp.NLP Library
+ * Copyright (C) 2018 Haiping Chen
+ *
+ * This program is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation, either version 3 of the License, or
+ * (at your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program. If not, see .
+ */
+
+using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
diff --git a/BotSharp.NLP/Tokenize/RegexTokenizer.cs b/BotSharp.NLP/Tokenize/RegexTokenizer.cs
index 43cd2a2f..03b04b78 100644
--- a/BotSharp.NLP/Tokenize/RegexTokenizer.cs
+++ b/BotSharp.NLP/Tokenize/RegexTokenizer.cs
@@ -1,4 +1,22 @@
-using System;
+/*
+ * BotSharp.NLP Library
+ * Copyright (C) 2018 Haiping Chen
+ *
+ * This program is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation, either version 3 of the License, or
+ * (at your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program. If not, see .
+ */
+
+using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
diff --git a/README.rst b/README.rst
index b9cab1cf..5eb4349b 100644
--- a/README.rst
+++ b/README.rst
@@ -1,7 +1,4 @@
-.. image:: https://raw.githubusercontent.com/Oceania2018/BotSharp/master/BotSharp.WebHost/wwwroot/images/BotSharp.png
- :height: 30px
-
-The Open Source AI Bot Platform Builder for Enterprise
+The Open Source AI Bot Platform Builder for Enterprise
======================================================
*"Conversation as a platform (CaaP) is the future, so it's perfect that we're already offering the whole toolkits to our enterprise developers using the BotSharp Bot Platform Builder to build a CaaP. It opens up as much learning power as possible for your enterprise robots and precisely control every step of the AI processing pipeline."*
diff --git a/docs/index.rst b/docs/index.rst
index cda74fa3..9335bbe4 100644
--- a/docs/index.rst
+++ b/docs/index.rst
@@ -3,8 +3,9 @@
You can adapt this file completely to your liking, but it should at least
contain the root `toctree` directive.
-Welcome to BotSharp's documentation!
-====================================
+.. image:: https://raw.githubusercontent.com/Oceania2018/BotSharp/master/BotSharp.WebHost/wwwroot/images/BotSharp.png
+ :height: 30px
+
.. include:: ../README.rst
.. toctree::