Increasing the dimension of features space in the SVMSGD::train function.

This commit is contained in:
Marina Noskova
2016-02-03 15:31:05 +03:00
parent 40bf97c6d1
commit acd74037b3
8 changed files with 412 additions and 349 deletions

View File

@@ -45,7 +45,6 @@
#include "opencv2/ml.hpp"
#include "opencv2/core/core_c.h"
#include "opencv2/core/utility.hpp"
#include "opencv2/ml/svmsgd.hpp"
#include "opencv2/core/private.hpp"
#include <assert.h>

View File

@@ -42,6 +42,12 @@
#include "precomp.hpp"
#include "limits"
//#include "math.h"
#include <iostream>
using std::cout;
using std::endl;
/****************************************************************************************\
* Stochastic Gradient Descent SVM Classifier *
@@ -64,7 +70,7 @@ public:
virtual float predict( InputArray samples, OutputArray results=noArray(), int flags = 0 ) const;
virtual bool isClassifier() const { return params.svmsgdType == SGD || params.svmsgdType == ASGD; }
virtual bool isClassifier() const;
virtual bool isTrained() const;
@@ -93,22 +99,29 @@ public:
CV_IMPL_PROPERTY(float, C, params.c)
CV_IMPL_PROPERTY_S(cv::TermCriteria, TermCriteria, params.termCrit)
private:
void updateWeights(InputArray sample, bool is_first_class, float gamma);
float calcShift(InputArray trainSamples, InputArray trainResponses) const;
private:
void updateWeights(InputArray sample, bool isFirstClass, float gamma, Mat weights);
std::pair<bool,bool> areClassesEmpty(Mat responses);
void writeParams( FileStorage& fs ) const;
void readParams( const FileNode& fn );
static inline bool isFirstClass(float val) { return val > 0; }
static void normalizeSamples(Mat &matrix, Mat &multiplier, Mat &average);
float calcShift(InputArray _samples, InputArray _responses) const;
static void makeExtendedTrainSamples(const Mat trainSamples, Mat &extendedTrainSamples, Mat &multiplier);
// Vector with SVM weights
Mat weights_;
float shift_;
// Random index generation
RNG rng_;
// Parameters for learning
struct SVMSGDParams
{
@@ -127,97 +140,88 @@ Ptr<SVMSGD> SVMSGD::create()
return makePtr<SVMSGDImpl>();
}
bool SVMSGDImpl::train(const Ptr<TrainData>& data, int)
{
clear();
Mat trainSamples = data->getTrainSamples();
// Initialize varCount
int trainSamplesCount_ = trainSamples.rows;
int varCount = trainSamples.cols;
// Initialize weights vector with zeros
weights_ = Mat::zeros(1, varCount, CV_32F);
Mat trainResponses = data->getTrainResponses(); // (trainSamplesCount x 1) matrix
std::pair<bool,bool> are_empty = areClassesEmpty(trainResponses);
if ( are_empty.first && are_empty.second )
{
weights_.release();
return false;
}
if ( are_empty.first || are_empty.second )
{
shift_ = are_empty.first ? -1 : 1;
return true;
}
Mat currentSample;
float gamma = 0;
Mat lastWeights = Mat::zeros(1, varCount, CV_32F); //weights vector for calculating terminal criterion
Mat averageWeights; //average weights vector for ASGD model
double err = DBL_MAX;
if (params.svmsgdType == ASGD)
{
averageWeights = Mat::zeros(1, varCount, CV_32F);
}
// Stochastic gradient descent SVM
for (int iter = 0; (iter < params.termCrit.maxCount)&&(err > params.termCrit.epsilon); iter++)
{
//generate sample number
int randomNumber = rng_.uniform(0, trainSamplesCount_);
currentSample = trainSamples.row(randomNumber);
//update gamma
gamma = params.gamma0 * std::pow((1 + params.lambda * params.gamma0 * (float)iter), (-params.c));
bool is_first_class = isFirstClass(trainResponses.at<float>(randomNumber));
updateWeights( currentSample, is_first_class, gamma );
//average weights (only for ASGD model)
if (params.svmsgdType == ASGD)
{
averageWeights = ((float)iter/ (1 + (float)iter)) * averageWeights + weights_ / (1 + (float) iter);
}
err = norm(weights_ - lastWeights);
weights_.copyTo(lastWeights);
}
if (params.svmsgdType == ASGD)
{
weights_ = averageWeights;
}
shift_ = calcShift(trainSamples, trainResponses);
return true;
}
std::pair<bool,bool> SVMSGDImpl::areClassesEmpty(Mat responses)
{
std::pair<bool,bool> are_classes_empty(true, true);
CV_Assert(responses.cols == 1);
std::pair<bool,bool> emptyInClasses(true, true);
int limit_index = responses.rows;
for(int index = 0; index < limit_index; index++)
{
if (isFirstClass(responses.at<float>(index,0)))
are_classes_empty.first = false;
if (isFirstClass(responses.at<float>(index)))
emptyInClasses.first = false;
else
are_classes_empty.second = false;
emptyInClasses.second = false;
if (!are_classes_empty.first && ! are_classes_empty.second)
if (!emptyInClasses.first && ! emptyInClasses.second)
break;
}
return are_classes_empty;
return emptyInClasses;
}
void SVMSGDImpl::normalizeSamples(Mat &samples, Mat &multiplier, Mat &average)
{
int featuresCount = samples.cols;
int samplesCount = samples.rows;
average = Mat(1, featuresCount, samples.type());
for (int featureIndex = 0; featureIndex < featuresCount; featureIndex++)
{
average.at<float>(featureIndex) = mean(samples.col(featureIndex))[0];
}
for (int sampleIndex = 0; sampleIndex < samplesCount; sampleIndex++)
{
samples.row(sampleIndex) -= average;
}
Mat featureNorm(1, featuresCount, samples.type());
for (int featureIndex = 0; featureIndex < featuresCount; featureIndex++)
{
featureNorm.at<float>(featureIndex) = norm(samples.col(featureIndex));
}
multiplier = sqrt(samplesCount) / featureNorm;
for (int sampleIndex = 0; sampleIndex < samplesCount; sampleIndex++)
{
samples.row(sampleIndex) = samples.row(sampleIndex).mul(multiplier);
}
}
void SVMSGDImpl::makeExtendedTrainSamples(const Mat trainSamples, Mat &extendedTrainSamples, Mat &multiplier)
{
Mat normalisedTrainSamples = trainSamples.clone();
int samplesCount = normalisedTrainSamples.rows;
Mat average;
normalizeSamples(normalisedTrainSamples, multiplier, average);
Mat onesCol = Mat::ones(samplesCount, 1, CV_32F);
cv::hconcat(normalisedTrainSamples, onesCol, extendedTrainSamples);
//cout << "SVMSGDImpl::makeExtendedTrainSamples average: \n" << average << endl;
//cout << "SVMSGDImpl::makeExtendedTrainSamples multiplier: \n" << multiplier << endl;
}
void SVMSGDImpl::updateWeights(InputArray _sample, bool firstClass, float gamma, Mat weights)
{
Mat sample = _sample.getMat();
int response = firstClass ? 1 : -1; // ensure that trainResponses are -1 or 1
if ( sample.dot(weights) * response > 1)
{
// Not a support vector, only apply weight decay
weights *= (1.f - gamma * params.lambda);
}
else
{
// It's a support vector, add it to the weights
weights -= (gamma * params.lambda) * weights - (gamma * response) * sample;
}
}
float SVMSGDImpl::calcShift(InputArray _samples, InputArray _responses) const
@@ -232,12 +236,12 @@ float SVMSGDImpl::calcShift(InputArray _samples, InputArray _responses) const
for (int samplesIndex = 0; samplesIndex < trainSamplesCount; samplesIndex++)
{
Mat currentSample = trainSamples.row(samplesIndex);
float scalar_product = currentSample.dot(weights_);
float dotProduct = currentSample.dot(weights_);
bool is_first_class = isFirstClass(trainResponses.at<float>(samplesIndex));
int index = is_first_class ? 0:1;
float sign_to_mul = is_first_class ? 1 : -1;
float cur_distance = scalar_product * sign_to_mul ;
bool firstClass = isFirstClass(trainResponses.at<float>(samplesIndex));
int index = firstClass ? 0:1;
float signToMul = firstClass ? 1 : -1;
float cur_distance = dotProduct * signToMul;
if (cur_distance < distance_to_classes[index])
{
@@ -245,10 +249,109 @@ float SVMSGDImpl::calcShift(InputArray _samples, InputArray _responses) const
}
}
//todo: areClassesEmpty(); make const;
return -(distance_to_classes[0] - distance_to_classes[1]) / 2.f;
}
bool SVMSGDImpl::train(const Ptr<TrainData>& data, int)
{
//cout << "SVMSGDImpl::train begin" << endl;
clear();
CV_Assert( isClassifier() ); //toDo: consider
Mat trainSamples = data->getTrainSamples();
//cout << "SVMSGDImpl::train trainSamples: \n" << trainSamples << endl;
int featureCount = trainSamples.cols;
Mat trainResponses = data->getTrainResponses(); // (trainSamplesCount x 1) matrix
//cout << "SVMSGDImpl::train trainresponses: \n" << trainResponses << endl;
std::pair<bool,bool> areEmpty = areClassesEmpty(trainResponses);
//cout << "SVMSGDImpl::train areEmpty" << areEmpty.first << "," << areEmpty.second << endl;
if ( areEmpty.first && areEmpty.second )
{
return false;
}
if ( areEmpty.first || areEmpty.second )
{
weights_ = Mat::zeros(1, featureCount, CV_32F);
shift_ = areEmpty.first ? -1 : 1;
return true;
}
Mat extendedTrainSamples;
Mat multiplier;
makeExtendedTrainSamples(trainSamples, extendedTrainSamples, multiplier);
//cout << "SVMSGDImpl::train extendedTrainSamples: \n" << extendedTrainSamples << endl;
int extendedTrainSamplesCount = extendedTrainSamples.rows;
int extendedFeatureCount = extendedTrainSamples.cols;
Mat extendedWeights = Mat::zeros(1, extendedFeatureCount, CV_32F); // Initialize extendedWeights vector with zeros
Mat previousWeights = Mat::zeros(1, extendedFeatureCount, CV_32F); //extendedWeights vector for calculating terminal criterion
Mat averageExtendedWeights; //average extendedWeights vector for ASGD model
if (params.svmsgdType == ASGD)
{
averageExtendedWeights = Mat::zeros(1, extendedFeatureCount, CV_32F);
}
RNG rng(0);
int maxCount = (params.termCrit.type & TermCriteria::COUNT) ? params.termCrit.maxCount : INT_MAX;
double epsilon = (params.termCrit.type & TermCriteria::EPS) ? params.termCrit.epsilon : 0;
double err = DBL_MAX;
// Stochastic gradient descent SVM
for (int iter = 0; (iter < maxCount) && (err > epsilon); iter++)
{
int randomNumber = rng.uniform(0, extendedTrainSamplesCount); //generate sample number
Mat currentSample = extendedTrainSamples.row(randomNumber);
bool firstClass = isFirstClass(trainResponses.at<float>(randomNumber));
float gamma = params.gamma0 * std::pow((1 + params.lambda * params.gamma0 * (float)iter), (-params.c)); //update gamma
updateWeights( currentSample, firstClass, gamma, extendedWeights );
//average weights (only for ASGD model)
if (params.svmsgdType == ASGD)
{
averageExtendedWeights = ((float)iter/ (1 + (float)iter)) * averageExtendedWeights + extendedWeights / (1 + (float) iter);
err = norm(averageExtendedWeights - previousWeights);
averageExtendedWeights.copyTo(previousWeights);
}
else
{
err = norm(extendedWeights - previousWeights);
extendedWeights.copyTo(previousWeights);
}
}
if (params.svmsgdType == ASGD)
{
extendedWeights = averageExtendedWeights;
}
//cout << "SVMSGDImpl::train extendedWeights: \n" << extendedWeights << endl;
Rect roi(0, 0, featureCount, 1);
weights_ = extendedWeights(roi);
weights_ = weights_.mul(1/multiplier);
//cout << "SVMSGDImpl::train weights: \n" << weights_ << endl;
shift_ = calcShift(trainSamples, trainResponses);
//cout << "SVMSGDImpl::train shift = " << shift_ << endl;
return true;
}
float SVMSGDImpl::predict( InputArray _samples, OutputArray _results, int ) const
{
float result = 0;
@@ -269,37 +372,21 @@ float SVMSGDImpl::predict( InputArray _samples, OutputArray _results, int ) cons
results = Mat(1, 1, CV_32F, &result);
}
Mat currentSample;
float criterion = 0;
for (int sampleIndex = 0; sampleIndex < nSamples; sampleIndex++)
{
currentSample = samples.row(sampleIndex);
criterion = currentSample.dot(weights_) + shift_;
Mat currentSample = samples.row(sampleIndex);
float criterion = currentSample.dot(weights_) + shift_;
results.at<float>(sampleIndex) = (criterion >= 0) ? 1 : -1;
}
return result;
}
void SVMSGDImpl::updateWeights(InputArray _sample, bool is_first_class, float gamma)
bool SVMSGDImpl::isClassifier() const
{
Mat sample = _sample.getMat();
int responce = is_first_class ? 1 : -1; // ensure that trainResponses are -1 or 1
if ( sample.dot(weights_) * responce > 1)
{
// Not a support vector, only apply weight decay
weights_ *= (1.f - gamma * params.lambda);
}
else
{
// It's a support vector, add it to the weights
weights_ -= (gamma * params.lambda) * weights_ - gamma * responce * sample;
//std::cout << "sample " << sample << std::endl;
//std::cout << "weights_ " << weights_ << std::endl;
}
return (params.svmsgdType == SGD || params.svmsgdType == ASGD)
&&
(params.lambda > 0) && (params.gamma0 > 0) && (params.c >= 0);
}
bool SVMSGDImpl::isTrained() const
@@ -314,8 +401,8 @@ void SVMSGDImpl::write(FileStorage& fs) const
writeParams( fs );
fs << "shift" << shift_;
fs << "weights" << weights_;
fs << "shift" << shift_;
}
void SVMSGDImpl::writeParams( FileStorage& fs ) const
@@ -359,8 +446,8 @@ void SVMSGDImpl::read(const FileNode& fn)
readParams(fn);
shift_ = (float) fn["shift"];
fn["weights"] >> weights_;
fn["shift"] >> shift_;
}
void SVMSGDImpl::readParams( const FileNode& fn )
@@ -393,21 +480,19 @@ void SVMSGDImpl::readParams( const FileNode& fn )
(params.termCrit.maxCount > 0 ? TermCriteria::COUNT : 0);
}
else
params.termCrit = TermCriteria( TermCriteria::EPS + TermCriteria::COUNT, 1000, FLT_EPSILON );
params.termCrit = TermCriteria( TermCriteria::EPS + TermCriteria::COUNT, 100000, FLT_EPSILON );
}
void SVMSGDImpl::clear()
{
weights_.release();
shift_ = 0;
}
SVMSGDImpl::SVMSGDImpl()
{
clear();
rng_(0);
params.svmsgdType = ILLEGAL_VALUE;
@@ -426,20 +511,20 @@ void SVMSGDImpl::setOptimalParameters(int type)
{
case SGD:
params.svmsgdType = SGD;
params.lambda = 0.00001;
params.lambda = 0.0001;
params.gamma0 = 0.05;
params.c = 1;
params.termCrit.maxCount = 50000;
params.termCrit.epsilon = 0.00000001;
params.termCrit.maxCount = 100000;
params.termCrit.epsilon = 0.00001;
break;
case ASGD:
params.svmsgdType = ASGD;
params.lambda = 0.00001;
params.gamma0 = 0.5;
params.gamma0 = 0.05;
params.c = 0.75;
params.termCrit.maxCount = 100000;
params.termCrit.epsilon = 0.000001;
params.termCrit.epsilon = 0.00001;
break;
default: