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An Iterative Coordinate Descent Algorithm to Compute Sparse Low-Rank Approximations

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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… Click to show full 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: principal components; iterative coordinate; algorithm compute; descent algorithm; sparse; coordinate descent

Journal Title: IEEE Signal Processing Letters
Year Published: 2022

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