Joint Linked Component Analysis for Multiview Data

Lin Xiao; Luo Xiao

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arXiv · 2406.11761

Joint Linked Component Analysis for Multiview Data

Lin Xiao·Luo Xiao

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Abstract

In this work, we propose the joint linked component analysis (joint\_LCA) for multiview data. Unlike classic methods which extract the shared components in a sequential manner, the objective of joint\_LCA is to identify the view-specific loading matrices and the rank of the common latent subspace simultaneously. We formulate a matrix decomposition model where a joint structure and an individual structure are present in each data view, which enables us to arrive at a clean svd representation for the cross covariance between any pair of data views. An objective function with a novel penalty term is then proposed to achieve simultaneous estimation and rank selection. In addition, a refitting procedure is employed as a remedy to reduce the shrinkage bias caused by the penalization.

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BibTeX RIS

Lin Xiao, Luo Xiao. 2024-06-17. Joint Linked Component Analysis for Multiview Data. https://arxiv.org/abs/2406.11761

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