Pareto models for discriminative multiclass linear dimensionality reduction

作者:

Highlights:

• We address the class-masking problem (CMP) in Multiclass LDA (MLDA).

• We model MLDA as a set of objective functions for pairwise distances between classes.

• We optimize the compound objective function using Multiobjective Optimization.

• Our models overcome the CMP and are extended to multimodal non-Gaussian data.

• Empirical analysis shows consistent and promising performance in favor of our models.

摘要

Highlights•We address the class-masking problem (CMP) in Multiclass LDA (MLDA).•We model MLDA as a set of objective functions for pairwise distances between classes.•We optimize the compound objective function using Multiobjective Optimization.•Our models overcome the CMP and are extended to multimodal non-Gaussian data.•Empirical analysis shows consistent and promising performance in favor of our models.

论文关键词:Fisher discriminant analysis,Supervised linear dimensionality reduction,Feature transformation,Metric learning,Subspace learning,Multiobjective optimization,Pareto optimality,Kullback–Leibler divergence

论文评审过程:Received 10 January 2014, Revised 13 August 2014, Accepted 8 November 2014, Available online 20 November 2014.

论文官网地址:https://doi.org/10.1016/j.patcog.2014.11.008