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An iterative coordinate descent algorithm to compute sparse low-rank approximations

Machine Learning 2022-02-09 v1 Data Structures and Algorithms Numerical Analysis Signal Processing Numerical Analysis

Abstract

In this paper, we describe a new algorithm to build a few sparse principal components from a given data matrix. Our approach does not explicitly create the covariance matrix of the data and can be viewed as an extension of the Kogbetliantz algorithm to build an approximate singular value decomposition for a few principal components. We show the performance of the proposed algorithm to recover sparse principal components on various datasets from the literature and perform dimensionality reduction for classification applications.

Keywords

Cite

@article{arxiv.2107.14608,
  title  = {An iterative coordinate descent algorithm to compute sparse low-rank approximations},
  author = {Cristian Rusu},
  journal= {arXiv preprint arXiv:2107.14608},
  year   = {2022}
}
R2 v1 2026-06-24T04:41:18.668Z