Wasserstein-Aligned Hyperbolic Multi-View Clustering

Fuente: arXiv
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Main Authors: Wang, Rui, Jiang, Yuting, Luo, Xiaoqing, Wu, Xiao-Jun, Sebe, Nicu, Chen, Ziheng
Format: Preprint
Published: 2025
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author Wang, Rui
Jiang, Yuting
Luo, Xiaoqing
Wu, Xiao-Jun
Sebe, Nicu
Chen, Ziheng
author_facet Wang, Rui
Jiang, Yuting
Luo, Xiaoqing
Wu, Xiao-Jun
Sebe, Nicu
Chen, Ziheng
contents Multi-view clustering (MVC) aims to uncover the latent structure of multi-view data by learning view-common and view-specific information. Although recent studies have explored hyperbolic representations for better tackling the representation gap between different views, they focus primarily on instance-level alignment and neglect global semantic consistency, rendering them vulnerable to view-specific information (\textit{e.g.}, noise and cross-view discrepancies). To this end, this paper proposes a novel Wasserstein-Aligned Hyperbolic (WAH) framework for multi-view clustering. Specifically, our method exploits a view-specific hyperbolic encoder for each view to embed features into the Lorentz manifold for hierarchical semantic modeling. Whereafter, a global semantic loss based on the hyperbolic sliced-Wasserstein distance is introduced to align manifold distributions across views. This is followed by soft cluster assignments to encourage cross-view semantic consistency. Extensive experiments on multiple benchmarking datasets show that our method can achieve SOTA clustering performance.
format Preprint
id arxiv_https___arxiv_org_abs_2512_09402
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Wasserstein-Aligned Hyperbolic Multi-View Clustering
Wang, Rui
Jiang, Yuting
Luo, Xiaoqing
Wu, Xiao-Jun
Sebe, Nicu
Chen, Ziheng
Computer Vision and Pattern Recognition
Multi-view clustering (MVC) aims to uncover the latent structure of multi-view data by learning view-common and view-specific information. Although recent studies have explored hyperbolic representations for better tackling the representation gap between different views, they focus primarily on instance-level alignment and neglect global semantic consistency, rendering them vulnerable to view-specific information (\textit{e.g.}, noise and cross-view discrepancies). To this end, this paper proposes a novel Wasserstein-Aligned Hyperbolic (WAH) framework for multi-view clustering. Specifically, our method exploits a view-specific hyperbolic encoder for each view to embed features into the Lorentz manifold for hierarchical semantic modeling. Whereafter, a global semantic loss based on the hyperbolic sliced-Wasserstein distance is introduced to align manifold distributions across views. This is followed by soft cluster assignments to encourage cross-view semantic consistency. Extensive experiments on multiple benchmarking datasets show that our method can achieve SOTA clustering performance.
title Wasserstein-Aligned Hyperbolic Multi-View Clustering
topic Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2512.09402