Unsupervised feature selection using Bayesian Tucker decomposition

Fuente: arXiv
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Autori principali: Taguchi, Y-h., Mototake, Yoh-ichi
Natura: Preprint
Pubblicazione: 2026
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author Taguchi, Y-h.
Mototake, Yoh-ichi
author_facet Taguchi, Y-h.
Mototake, Yoh-ichi
contents In this paper, we proposed Bayesian Tucker decomposition (BTuD) in which residual is supposed to obey Gaussian distribution analogous to linear regression. Although we have proposed an algorithm to perform the proposed BTuD, the conventional higher-order orthogonal iteration can generate Tucker decomposition consistent with the present implementation. Using the proposed BTuD, we can perform unsupervised feature selection successfully applied to various synthetic datasets, global coupled maps with randomized coupling strength, and gene expression profiles. Thus we can conclude that our newly proposed unsupervised feature selection method is promising. In addition to this, BTuD based unsupervised FE is expected to coincide with TD based unsupervised FE that were previously proposed and successfully applied to a wide range of problems.
format Preprint
id arxiv_https___arxiv_org_abs_2604_14949
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Unsupervised feature selection using Bayesian Tucker decomposition
Taguchi, Y-h.
Mototake, Yoh-ichi
Machine Learning
In this paper, we proposed Bayesian Tucker decomposition (BTuD) in which residual is supposed to obey Gaussian distribution analogous to linear regression. Although we have proposed an algorithm to perform the proposed BTuD, the conventional higher-order orthogonal iteration can generate Tucker decomposition consistent with the present implementation. Using the proposed BTuD, we can perform unsupervised feature selection successfully applied to various synthetic datasets, global coupled maps with randomized coupling strength, and gene expression profiles. Thus we can conclude that our newly proposed unsupervised feature selection method is promising. In addition to this, BTuD based unsupervised FE is expected to coincide with TD based unsupervised FE that were previously proposed and successfully applied to a wide range of problems.
title Unsupervised feature selection using Bayesian Tucker decomposition
topic Machine Learning
url https://arxiv.org/abs/2604.14949