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FisherLDA_unittest.cc
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FisherLDA_unittest.cc
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/*
* Copyright (c) The Shogun Machine Learning Toolbox
* Written (w) 2014 Abhijeet Kislay
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions are met:
*
* 1. Redistributions of source code must retain the above copyright notice, this
* list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright notice,
* this list of conditions and the following disclaimer in the documentation
* and/or other materials provided with the distribution.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
* WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
* DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
* ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
* (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
* ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
* SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*
* The views and conclusions contained in the software and documentation are those
* of the authors and should not be interpreted as representing official policies,
* either expressed or implied, of the Shogun Development Team.
*/
#include <shogun/lib/config.h>
#include <gtest/gtest.h>
#include <shogun/lib/common.h>
#include <shogun/features/DenseFeatures.h>
#include <shogun/labels/MulticlassLabels.h>
#include <shogun/preprocessor/FisherLDA.h>
using namespace shogun;
class FLDATest: public::testing::Test
{
protected:
FLDATest()
{
const int num=6;
const int dims=4;
const int classes=2;
SGMatrix<float64_t> test_matrix(dims,classes*num);
SGVector<float64_t> labels_vector(classes*num);
//prepare the data for dimensional reduction using LDA on the following
//excerpt from the Digit database.
test_matrix(0,0)=50;
test_matrix(1,0)=121;
test_matrix(2,0)=215;
test_matrix(3,0)=254;
test_matrix(0,1)=241;
test_matrix(1,1)=254;
test_matrix(2,1)=253;
test_matrix(3,1)=253;
test_matrix(0,2)=252;
test_matrix(1,2)=252;
test_matrix(2,2)=252;
test_matrix(3,2)=252;
test_matrix(0,3)=0;
test_matrix(1,3)=16;
test_matrix(2,3)=161;
test_matrix(3,3)=232;
test_matrix(0,4)=0;
test_matrix(1,4)=0;
test_matrix(2,4)=0;
test_matrix(3,4)=0;
test_matrix(0,5)=0;
test_matrix(1,5)=0;
test_matrix(2,5)=157;
test_matrix(3,5)=252;
test_matrix(0,6)=105;
test_matrix(1,6)=254;
test_matrix(2,6)=229;
test_matrix(3,6)=24;
test_matrix(0,7)=163;
test_matrix(1,7)=0;
test_matrix(2,7)=0;
test_matrix(3,7)=0;
test_matrix(0,8)=253;
test_matrix(1,8)=234;
test_matrix(2,8)=253;
test_matrix(3,8)=253;
test_matrix(0,9)=249;
test_matrix(1,9)=249;
test_matrix(2,9)=238;
test_matrix(3,9)=168;
test_matrix(0,10)=109;
test_matrix(1,10)=109;
test_matrix(2,10)=191;
test_matrix(3,10)=255;
test_matrix(0,11)=253;
test_matrix(1,11)=252;
test_matrix(2,11)=186;
test_matrix(3,11)=56;
dense_feat=new CDenseFeatures<float64_t>(test_matrix);
for(int i=0; i<classes; ++i)
for(int j=0; j<num; ++j)
labels_vector[i*num+j]=i;
labels=new CMulticlassLabels(labels_vector);
}
CDenseFeatures<float64_t>* dense_feat;
CMulticlassLabels* labels;
};
TEST_F(FLDATest, CANVAR_FLDA_Unit_test)
{
SG_REF(dense_feat);
SG_REF(labels);
// comparing outputs against BRMLtoolbox MATLAB "CannonVar.m" implementation
// http://web4.cs.ucl.ac.uk/staff/D.Barber/pmwiki/pmwiki.php?n=Brml.Software
CFisherLDA fisherlda(CANVAR_FLDA);
fisherlda.fit(dense_feat, labels, 1);
SGMatrix<float64_t> y=fisherlda.apply_to_feature_matrix(dense_feat);
float64_t epsilon=0.00000000001;
// comparing projection outputs against Matlab 'CannonVar' implementation
EXPECT_NEAR(+51.3760082238439111, y(0,0), epsilon);
EXPECT_NEAR(-56.4869601858493127, y(0,1), epsilon);
EXPECT_NEAR(-63.3150724246548862, y(0,2), epsilon);
EXPECT_NEAR(+75.1693851132601338, y(0,3), epsilon);
EXPECT_NEAR( 0.00000000000000000, y(0,4), epsilon);
EXPECT_NEAR(+87.4243337392790067, y(0,5), epsilon);
EXPECT_NEAR(-114.092258182259556, y(0,6), epsilon);
EXPECT_NEAR(-94.010102920274619, y(0,7), epsilon);
EXPECT_NEAR(-66.5754164410987244, y(0,8), epsilon);
EXPECT_NEAR(-109.483855254332568, y(0,9), epsilon);
EXPECT_NEAR(+27.5378037199449182, y(0,10), epsilon);
EXPECT_NEAR(-158.649815592855759, y(0,11), epsilon);
// comparing eigenvectors from the transformation_matrix with that from the
// 'CannonVar' implementation.
SGMatrix<float64_t> transformy=fisherlda.get_transformation_matrix();
EXPECT_NEAR(0.576749097670396393, std::abs(transformy[0]), epsilon);
EXPECT_NEAR(0.158373354160231516, std::abs(transformy[1]), epsilon);
EXPECT_NEAR(0.47693388209865617, std::abs(transformy[2]), epsilon);
EXPECT_NEAR(0.64405933820939687, std::abs(transformy[3]), epsilon);
SG_UNREF(dense_feat);
SG_UNREF(labels);
}
TEST_F(FLDATest, CLASSIC_FLDA_Unit_test)
{
SG_REF(dense_feat);
SG_REF(labels);
CFisherLDA fisherlda(CLASSIC_FLDA);
fisherlda.fit(dense_feat, labels, 1);
SGMatrix<float64_t> y=fisherlda.apply_to_feature_matrix(dense_feat);
float64_t epsilon=0.00000000001;
// comparing projection outputs against OpenCV's LDA implementation
EXPECT_NEAR(2.320638860636734, std::abs(y(0,0)), epsilon);
EXPECT_NEAR(17.1971943875009, std::abs(y(0,1)), epsilon);
EXPECT_NEAR(21.37035944868713, std::abs(y(0,2)), epsilon);
EXPECT_NEAR(14.00799864614085, std::abs(y(0,3)), epsilon);
EXPECT_NEAR(0.0, std::abs(y(0,4)), epsilon);
EXPECT_NEAR(12.17552228293873, std::abs(y(0,5)), epsilon);
EXPECT_NEAR(45.63707656856615, std::abs(y(0,6)), epsilon);
EXPECT_NEAR(50.59105059954445, std::abs(y(0,7)), epsilon);
EXPECT_NEAR(31.59115995427943, std::abs(y(0,8)), epsilon);
EXPECT_NEAR(44.37699306363105, std::abs(y(0,9)), epsilon);
EXPECT_NEAR(10.12764069879628, std::abs(y(0,10)),epsilon);
EXPECT_NEAR(50.84827819267112, std::abs(y(0,11)),epsilon);
// comparing eigenvectors from the transformation_matrix with that from the
// 'opencv LDA' implementation.
SGMatrix<float64_t> transformy=fisherlda.get_transformation_matrix();
EXPECT_NEAR(0.3103745435554874, std::abs(transformy[0]), epsilon);
EXPECT_NEAR(0.5334735522056344, std::abs(transformy[1]), epsilon);
EXPECT_NEAR(0.6885872352166886, std::abs(transformy[2]), epsilon);
EXPECT_NEAR(0.3806852128812753, std::abs(transformy[3]), epsilon);
SG_UNREF(dense_feat);
SG_UNREF(labels);
}
TEST_F(FLDATest, CANVAR_FLDA_for_D_greater_than_N )
{
SGMatrix<float64_t> tm(6,5);
SGVector<float64_t> labels_vector(5);
tm(0,0)=50.6060;
tm(1,0)=11.3334;
tm(2,0)=36.3943;
tm(3,0)=53.9095;
tm(4,0)=47.2621;
tm(5,0)=40.0941;
tm(0,1)=53.6064;
tm(1,1)=38.0054;
tm(2,1)=31.1771;
tm(3,1)=65.3217;
tm(4,1)=73.6402;
tm(5,1)=93.0575;
tm(0,2)=87.8634;
tm(1,2)=25.5605;
tm(2,2)=67.2183;
tm(3,2)=96.8582;
tm(4,2)=85.6729;
tm(5,2)=85.5027;
tm(0,3)=82.4306;
tm(1,3)=41.2554;
tm(2,3)=51.4481;
tm(3,3)=94.6800;
tm(4,3)=98.0661;
tm(5,3)=108.5917;
tm(0,4)=109.0127;
tm(1,4)=30.9425;
tm(2,4)=77.7320;
tm(3,4)=118.4820;
tm(4,4)=107.3717;
tm(5,4)=99.9955;
labels_vector[0]=0;
labels_vector[1]=0;
labels_vector[2]=0;
labels_vector[3]=1;
labels_vector[4]=1;
CMulticlassLabels* l=new CMulticlassLabels(labels_vector);
CDenseFeatures<float64_t>* df=new CDenseFeatures<float64_t>(tm);
SG_REF(l);
SG_REF(df);
CFisherLDA fisherlda(CANVAR_FLDA);
fisherlda.fit(df, l, 1);
SGMatrix<float64_t> transformy=fisherlda.get_transformation_matrix();
// comparing eigenvectors from the transformation_matrix with that from the
// 'CannonVar' implementation.
float64_t epsilon=0.00000000001;
EXPECT_NEAR(0.338514731928807433, std::abs(transformy[0]), epsilon);
EXPECT_NEAR(0.106942313169695741, std::abs(transformy[1]), epsilon);
EXPECT_NEAR(0.61367409029250708, std::abs(transformy[2]), epsilon);
EXPECT_NEAR(0.162039434021644224, std::abs(transformy[3]), epsilon);
EXPECT_NEAR(0.600331522116284155, std::abs(transformy[4]), epsilon);
EXPECT_NEAR(0.332746922149909308, std::abs(transformy[5]), epsilon);
SG_UNREF(l);
SG_UNREF(df);
}