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Bilinear analysis for kernel selection and nonlinear feature extraction.

Shu Yang1, Shuicheng Yan, Chao Zhang

  • 1Department of Mathematics and Statistics, Boston University, Boston, MA 02215, USA. sophyshu@gmail.com

IEEE Transactions on Neural Networks
|January 29, 2008
PubMed
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This study introduces the Fisher + kernel criterion (FKC) for advanced feature extraction and recognition. This method enhances nonlinear discriminant analysis and kernel selection, improving face recognition accuracy.

Area of Science:

  • Computer Science
  • Machine Learning
  • Pattern Recognition

Background:

  • Traditional kernel discriminant analysis (KDA) faces challenges with ill-posed problems and singularities.
  • Effective feature extraction in nonlinear spaces is crucial for robust recognition systems.

Purpose of the Study:

  • To propose a unified criterion, Fisher + kernel criterion (FKC), for simultaneous nonlinear discriminant analysis and kernel selection.
  • To develop an efficient algorithm, Fisher + kernel analysis (FKA), for optimizing FKC.

Main Methods:

  • Developed the Fisher + kernel criterion (FKC) to extract and fuse discriminant features from nonlinear spaces.
  • Implemented the Fisher + kernel analysis (FKA) algorithm using bilinear analysis for criterion optimization.
  • Addressed and alleviated ill-posed problems and singularity issues inherent in traditional KDA.

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Main Results:

  • The FKC effectively extracts discriminant features in nonlinear spaces.
  • The FKA algorithm efficiently optimizes the FKC, demonstrating robustness against singularity problems.
  • Validated the proposed method's effectiveness through extensive face recognition experiments on multiple databases.

Conclusions:

  • The proposed FKC and FKA offer a unified and efficient approach for feature extraction and recognition.
  • The method shows significant improvements in face recognition tasks, outperforming traditional KDA.
  • FKC and FKA provide a robust solution for handling nonlinearities and improving discriminant analysis.