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Auteurs principaux: Wang, Xinxin, Zhang, Yongshan, Zhou, Yicong
Format: Preprint
Publié: 2025
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Accès en ligne:https://arxiv.org/abs/2501.11898
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author Wang, Xinxin
Zhang, Yongshan
Zhou, Yicong
author_facet Wang, Xinxin
Zhang, Yongshan
Zhou, Yicong
contents Incomplete multi-view clustering presents significant challenges due to missing views. Although many existing graph-based methods aim to recover missing instances or complete similarity matrices with promising results, they still face several limitations: (1) Recovered data may be unsuitable for spectral clustering, as these methods often ignore guidance from spectral analysis; (2) Complex optimization processes require high computational burden, hindering scalability to large-scale problems; (3) Most methods do not address the rotational mismatch problem in spectral embeddings. To address these issues, we propose a highly efficient rotation-invariant spectral embedding (RISE) method for scalable incomplete multi-view clustering. RISE learns view-specific embeddings from incomplete bipartite graphs to capture the complementary information. Meanwhile, a complete consensus representation with second-order rotation-invariant property is recovered from these incomplete embeddings in a unified model. Moreover, we design a fast alternating optimization algorithm with linear complexity and promising convergence to solve the proposed formulation. Extensive experiments on multiple datasets demonstrate the effectiveness, scalability, and efficiency of RISE compared to the state-of-the-art methods.
format Preprint
id arxiv_https___arxiv_org_abs_2501_11898
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Highly Efficient Rotation-Invariant Spectral Embedding for Scalable Incomplete Multi-View Clustering
Wang, Xinxin
Zhang, Yongshan
Zhou, Yicong
Machine Learning
Incomplete multi-view clustering presents significant challenges due to missing views. Although many existing graph-based methods aim to recover missing instances or complete similarity matrices with promising results, they still face several limitations: (1) Recovered data may be unsuitable for spectral clustering, as these methods often ignore guidance from spectral analysis; (2) Complex optimization processes require high computational burden, hindering scalability to large-scale problems; (3) Most methods do not address the rotational mismatch problem in spectral embeddings. To address these issues, we propose a highly efficient rotation-invariant spectral embedding (RISE) method for scalable incomplete multi-view clustering. RISE learns view-specific embeddings from incomplete bipartite graphs to capture the complementary information. Meanwhile, a complete consensus representation with second-order rotation-invariant property is recovered from these incomplete embeddings in a unified model. Moreover, we design a fast alternating optimization algorithm with linear complexity and promising convergence to solve the proposed formulation. Extensive experiments on multiple datasets demonstrate the effectiveness, scalability, and efficiency of RISE compared to the state-of-the-art methods.
title Highly Efficient Rotation-Invariant Spectral Embedding for Scalable Incomplete Multi-View Clustering
topic Machine Learning
url https://arxiv.org/abs/2501.11898