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By Dr. S Mishra, HoD, Dept of CE, I²IT
FUSION
Contents
Pattern Recognition
Classification
Classifier Fusion
International Institute of Information Technology, I²IT, P-14, Rajiv Gandhi Infotech Park, MIDC Phase 1, Hinjawadi, Pune - 411 057.
Tel +91 20 22933441 | www.isquareit.edu.in | Email info@isquareit.edu.in
How to select an algorithm
• Pattern recognition is a branch of machine learning that focuses on
the recognition of patterns and regularities in data, although it is in
some cases considered to be nearly synonymous with machine
learning.
International Institute of Information Technology, I²IT, P-14, Rajiv Gandhi Infotech Park, MIDC Phase 1, Hinjawadi, Pune - 411 057.
Tel +91 20 22933441 | www.isquareit.edu.in | Email info@isquareit.edu.in
• Classifier Fusion
Classifier Fusion was first proposed by
Dasarathy and Sheela’s in 1979.
The main idea of fusion is to combine a set
of models each of which solves the same
original task in order to obtain a better model
with more accuracy.
International Institute of Information Technology, I²IT, P-14, Rajiv Gandhi Infotech Park, MIDC Phase 1, Hinjawadi, Pune - 411 057.
Tel +91 20 22933441 | www.isquareit.edu.in | Email info@isquareit.edu.in
Classifier fusion consists of a set of individual classifiers i.e. a
fusion/selection method to combine/select individual classifier
outputs to give a final decision.
Types of ensemble:
Classifier Selection
Classifier Fusion
International Institute of Information Technology, I²IT, P-14, Rajiv Gandhi Infotech Park, MIDC Phase 1, Hinjawadi, Pune - 411 057.
Tel +91 20 22933441 | www.isquareit.edu.in | Email info@isquareit.edu.in
Functional Aspects of Fusion
A natural move when trying to solve numerous complicated
patterns.
 Efficiency
oDimension;
oSpeed
Accuracy
International Institute of Information Technology, I²IT, P-14, Rajiv Gandhi Infotech Park, MIDC Phase 1, Hinjawadi, Pune - 411 057.
Tel +91 20 22933441 | www.isquareit.edu.in | Email info@isquareit.edu.in
Importance of Classifier Fusion
Better classification performance than individual classifiers.
Beside avoiding the selection of the worse classifier under particular hypothesis,
fusion of multiple classifiers can improve the performance of the best individual
classifiers.
This is possible if individual classifiers make different errors.
For linear combiners, averaging the outputs of individual classifiers with unbiased
and uncorrelated errors can improve the performance of the best individual classifier.
International Institute of Information Technology, I²IT, P-14, Rajiv Gandhi Infotech Park, MIDC Phase 1, Hinjawadi, Pune - 411 057.
Tel +91 20 22933441 | www.isquareit.edu.in | Email info@isquareit.edu.in
Issues
Time complexity
Space Complexity
The new classifier might not be better than the single best classifier but it will distinguish
or eliminate the risk of picking an inadequate single classifier.
The final decision will be wrong if the output of selected classifier is wrong.
The trained classifier may not be competent enough to handle the problem.
International Institute of Information Technology, I²IT, P-14, Rajiv Gandhi Infotech Park, MIDC Phase 1, Hinjawadi, Pune - 411 057.
Tel +91 20 22933441 | www.isquareit.edu.in | Email info@isquareit.edu.in
Random Selection and k- Fold Cross
Validation
Data Set
n x m
Training
Testing Data
p x m
Training Data
t x m
Split the data set such that n=p + t
1 2 3 ... k
. . . .
. . . .
. . . .
SVM
Bayesian Classifier
MLP
Testing
Majority Voting
International Institute of Information Technology, I²IT, P-14, Rajiv Gandhi Infotech Park, MIDC Phase 1, Hinjawadi, Pune - 411 057.
Tel +91 20 22933441 | www.isquareit.edu.in | Email info@isquareit.edu.in
Gene
Expression
Data
ANN
Decreasing order
confidence matrix
Uniform Voting
Distribution Summation
Dempster-Shafer
Entropy Weighting
Density Based Weighting
Figure 2. Schematic representation of classifier fusion system
Principal Component
Analysis
Factor Analysis FLANN
Preprocessing Techniques
Support Vector Machine
Decision tree
k nearest neighbor
Bayesian Network
Classifiers
Class Ranking
Output
Classifier Fusion
International Institute of Information Technology, I²IT, P-14, Rajiv Gandhi Infotech Park, MIDC Phase 1, Hinjawadi, Pune - 411 057.
Tel +91 20 22933441 | www.isquareit.edu.in | Email info@isquareit.edu.in
References
[1]
[1]LZhenyu chen, Jianping Li, Liwei Wei, Weixuan Xu, Yong Shi: Multiple
– kernel SVM based multiple-task oriented data mining system for
gene expression data analysis, Expert Systems with Applications, Vol-
38, pp.12151-12159 (2011).
[2] Esma Kilic, Ethem Alpaydin: Learning the areas of expertise of
classifiers in an ensemble, Procedia Computer Science,Vol-3, pp.74-82
(2011).
[3] Nicolas Garcia – Pedrajas, Bomingo Ortiz – Boyer: An empirical study
of binary classifier fusion methods for multi class classification,
Information fusion ,Vol-12, pp.111-130 (2011).
[4] Hui-Min Feng, Xue-Fei li, Jun-Fen Chen: A comparative study of four
fuzzy integrals for classifier fusion, IEEE international Conference on
Machine learning and Cybernetics, pp.332-338 (2010).
[5] Jiangtao Huange, Minghui Wang, Bo Gu, Zhixiang Chen: Multiple
classifier combination based on interval-valued fuzzy permutation,
Journal of Computational Information Systems, Vol-6, pp.1759-1768
(2010).
International Institute of Information Technology, I²IT, P-14, Rajiv Gandhi Infotech Park, MIDC Phase 1, Hinjawadi, Pune - 411 057.
Tel +91 20 22933441 | www.isquareit.edu.in | Email info@isquareit.edu.in
THANK YOU !!
For further information please contact
Dr. S. Mishra
Department of Computer Engineering
Hope Foundation’s International Institute of Information Technology, I2IT
Hinjawadi, Pune – 411 057
Phone - +91 20 22933441
www.isquareit.edu.in | hodce@isquareit.edu.in

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FUSION - Pattern Recognition, Classification, Classifier Fusion

  • 1. By Dr. S Mishra, HoD, Dept of CE, I²IT FUSION
  • 2. Contents Pattern Recognition Classification Classifier Fusion International Institute of Information Technology, I²IT, P-14, Rajiv Gandhi Infotech Park, MIDC Phase 1, Hinjawadi, Pune - 411 057. Tel +91 20 22933441 | www.isquareit.edu.in | Email info@isquareit.edu.in
  • 3. How to select an algorithm • Pattern recognition is a branch of machine learning that focuses on the recognition of patterns and regularities in data, although it is in some cases considered to be nearly synonymous with machine learning. International Institute of Information Technology, I²IT, P-14, Rajiv Gandhi Infotech Park, MIDC Phase 1, Hinjawadi, Pune - 411 057. Tel +91 20 22933441 | www.isquareit.edu.in | Email info@isquareit.edu.in
  • 4. • Classifier Fusion Classifier Fusion was first proposed by Dasarathy and Sheela’s in 1979. The main idea of fusion is to combine a set of models each of which solves the same original task in order to obtain a better model with more accuracy. International Institute of Information Technology, I²IT, P-14, Rajiv Gandhi Infotech Park, MIDC Phase 1, Hinjawadi, Pune - 411 057. Tel +91 20 22933441 | www.isquareit.edu.in | Email info@isquareit.edu.in
  • 5. Classifier fusion consists of a set of individual classifiers i.e. a fusion/selection method to combine/select individual classifier outputs to give a final decision. Types of ensemble: Classifier Selection Classifier Fusion International Institute of Information Technology, I²IT, P-14, Rajiv Gandhi Infotech Park, MIDC Phase 1, Hinjawadi, Pune - 411 057. Tel +91 20 22933441 | www.isquareit.edu.in | Email info@isquareit.edu.in
  • 6. Functional Aspects of Fusion A natural move when trying to solve numerous complicated patterns.  Efficiency oDimension; oSpeed Accuracy International Institute of Information Technology, I²IT, P-14, Rajiv Gandhi Infotech Park, MIDC Phase 1, Hinjawadi, Pune - 411 057. Tel +91 20 22933441 | www.isquareit.edu.in | Email info@isquareit.edu.in
  • 7. Importance of Classifier Fusion Better classification performance than individual classifiers. Beside avoiding the selection of the worse classifier under particular hypothesis, fusion of multiple classifiers can improve the performance of the best individual classifiers. This is possible if individual classifiers make different errors. For linear combiners, averaging the outputs of individual classifiers with unbiased and uncorrelated errors can improve the performance of the best individual classifier. International Institute of Information Technology, I²IT, P-14, Rajiv Gandhi Infotech Park, MIDC Phase 1, Hinjawadi, Pune - 411 057. Tel +91 20 22933441 | www.isquareit.edu.in | Email info@isquareit.edu.in
  • 8. Issues Time complexity Space Complexity The new classifier might not be better than the single best classifier but it will distinguish or eliminate the risk of picking an inadequate single classifier. The final decision will be wrong if the output of selected classifier is wrong. The trained classifier may not be competent enough to handle the problem. International Institute of Information Technology, I²IT, P-14, Rajiv Gandhi Infotech Park, MIDC Phase 1, Hinjawadi, Pune - 411 057. Tel +91 20 22933441 | www.isquareit.edu.in | Email info@isquareit.edu.in
  • 9. Random Selection and k- Fold Cross Validation Data Set n x m Training Testing Data p x m Training Data t x m Split the data set such that n=p + t 1 2 3 ... k . . . . . . . . . . . . SVM Bayesian Classifier MLP Testing Majority Voting International Institute of Information Technology, I²IT, P-14, Rajiv Gandhi Infotech Park, MIDC Phase 1, Hinjawadi, Pune - 411 057. Tel +91 20 22933441 | www.isquareit.edu.in | Email info@isquareit.edu.in
  • 10. Gene Expression Data ANN Decreasing order confidence matrix Uniform Voting Distribution Summation Dempster-Shafer Entropy Weighting Density Based Weighting Figure 2. Schematic representation of classifier fusion system Principal Component Analysis Factor Analysis FLANN Preprocessing Techniques Support Vector Machine Decision tree k nearest neighbor Bayesian Network Classifiers Class Ranking Output Classifier Fusion International Institute of Information Technology, I²IT, P-14, Rajiv Gandhi Infotech Park, MIDC Phase 1, Hinjawadi, Pune - 411 057. Tel +91 20 22933441 | www.isquareit.edu.in | Email info@isquareit.edu.in
  • 11. References [1] [1]LZhenyu chen, Jianping Li, Liwei Wei, Weixuan Xu, Yong Shi: Multiple – kernel SVM based multiple-task oriented data mining system for gene expression data analysis, Expert Systems with Applications, Vol- 38, pp.12151-12159 (2011). [2] Esma Kilic, Ethem Alpaydin: Learning the areas of expertise of classifiers in an ensemble, Procedia Computer Science,Vol-3, pp.74-82 (2011). [3] Nicolas Garcia – Pedrajas, Bomingo Ortiz – Boyer: An empirical study of binary classifier fusion methods for multi class classification, Information fusion ,Vol-12, pp.111-130 (2011). [4] Hui-Min Feng, Xue-Fei li, Jun-Fen Chen: A comparative study of four fuzzy integrals for classifier fusion, IEEE international Conference on Machine learning and Cybernetics, pp.332-338 (2010). [5] Jiangtao Huange, Minghui Wang, Bo Gu, Zhixiang Chen: Multiple classifier combination based on interval-valued fuzzy permutation, Journal of Computational Information Systems, Vol-6, pp.1759-1768 (2010). International Institute of Information Technology, I²IT, P-14, Rajiv Gandhi Infotech Park, MIDC Phase 1, Hinjawadi, Pune - 411 057. Tel +91 20 22933441 | www.isquareit.edu.in | Email info@isquareit.edu.in
  • 12. THANK YOU !! For further information please contact Dr. S. Mishra Department of Computer Engineering Hope Foundation’s International Institute of Information Technology, I2IT Hinjawadi, Pune – 411 057 Phone - +91 20 22933441 www.isquareit.edu.in | hodce@isquareit.edu.in
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