Iterated Relevance Matrix Analysis (IRMA) for the identification of class-discriminative subspaces

Fuente: arXiv
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Autori principali: Lövdal, Sofie, Biehl, Michael
Natura: Preprint
Pubblicazione: 2024
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author Lövdal, Sofie
Biehl, Michael
author_facet Lövdal, Sofie
Biehl, Michael
contents We introduce and investigate the iterated application of Generalized Matrix Learning Vector Quantizaton for the analysis of feature relevances in classification problems, as well as for the construction of class-discriminative subspaces. The suggested Iterated Relevance Matrix Analysis (IRMA) identifies a linear subspace representing the classification specific information of the considered data sets using Generalized Matrix Learning Vector Quantization (GMLVQ). By iteratively determining a new discriminative subspace while projecting out all previously identified ones, a combined subspace carrying all class-specific information can be found. This facilitates a detailed analysis of feature relevances, and enables improved low-dimensional representations and visualizations of labeled data sets. Additionally, the IRMA-based class-discriminative subspace can be used for dimensionality reduction and the training of robust classifiers with potentially improved performance.
format Preprint
id arxiv_https___arxiv_org_abs_2401_12842
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Iterated Relevance Matrix Analysis (IRMA) for the identification of class-discriminative subspaces
Lövdal, Sofie
Biehl, Michael
Machine Learning
We introduce and investigate the iterated application of Generalized Matrix Learning Vector Quantizaton for the analysis of feature relevances in classification problems, as well as for the construction of class-discriminative subspaces. The suggested Iterated Relevance Matrix Analysis (IRMA) identifies a linear subspace representing the classification specific information of the considered data sets using Generalized Matrix Learning Vector Quantization (GMLVQ). By iteratively determining a new discriminative subspace while projecting out all previously identified ones, a combined subspace carrying all class-specific information can be found. This facilitates a detailed analysis of feature relevances, and enables improved low-dimensional representations and visualizations of labeled data sets. Additionally, the IRMA-based class-discriminative subspace can be used for dimensionality reduction and the training of robust classifiers with potentially improved performance.
title Iterated Relevance Matrix Analysis (IRMA) for the identification of class-discriminative subspaces
topic Machine Learning
url https://arxiv.org/abs/2401.12842