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Schatten-p and HSIC-Guided Tensor Subspace Clustering with Dual Noise and Sparse Gradients for Multi-Omics Cancer Subtyping.

Created on 13 Nov 2026

Authors

Cen Bian, Ming Yang, Yuchen Han, Jing Yuan

Published in

IEEE transactions on computational biology and bioinformatics. Volume PP. Nov 12, 2026. Epub Nov 12, 2026.

Abstract

Cancer multi-omics data can characterize tumor heterogeneity from different molecular levels and provide an important information source for unsupervised cancer subtype discovery. However, existing tensorized multi-view subspace clustering methods still face problems in practical cancer sub typing tasks, including insufficiently compact tensor low-rank approximation, noise modeling limited to a single space, overly rigid constraints on cross-view relationships, and insufficient preservation of local boundary structures in the affinity matrix. To this end, this paper proposes a tensor subspace clustering method for cancer subtyping. This method stacks the clean self representation components of all views into a third-order tensor and introduces Schatten-p tensor low-rank regularization to more effectively preserve dominant singular structures. Meanwhile, a dual-space ℓ2,q joint noise model covering both data space and representation space is constructed to enhance robustness against heavy-tailed noise, heteroscedastic perturbations, and sample level outliers. Furthermore, this paper adopts HSIC to reduce cross-view covariance among the learned representations, and promotes a clear block-diagonal structure in the affinity matrix through sparse gradient graph regularization. Extensive evaluations on real-world cancer multi-omics datasets and standard machine learning datasets confirm its superior performance and consistent robustness for cancer subtype identification.

PMID:
43019266
Bibliographic data and abstract were imported from PubMed on 13 Nov 2026.

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