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A Hubness Perspective on Representation Learning for Graph-Based Multi-View Clustering

CVPR 2025 · Graph learning › Graph self-supervised learning · approach: Multi-view graph clustering · 4 citations (OpenAlex)

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Shows that hubness in high-dimensional AE embeddings degrades graph-based multi-view clustering and proposes hubREP, a lightweight hub-aware encoder plus hub-aware cross-view pairing loss that improves GMVC across eight benchmarks.

Problem

Graph-based multi-view clustering builds kNN graphs from high-dimensional autoencoder embeddings, which suffer from hubness (a few points dominate neighbor lists), harming graph structure and GNN message passing; existing methods also fail to preserve local neighborhood structure.

Approach

A parametric view-specific encoder trained with a t-SNE-style KL objective over cosine-softmax similarities on a hypersphere, where a negative-entropy term spreads embeddings uniformly to reduce hubness while preserving neighborhoods; plus a cross-view pairing loss weighted by per-sample hubness scores. It replaces autoencoder decoders and is pluggable into existing GMVC methods.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
add hub-aware representation embedding and cross-view pairing losses rather than using conventional autoencoders (ablation)hubREP · 3SourcesACC: 0.7065 -> 0.9290Helped
add hub-aware representation embedding and cross-view pairing losses rather than using conventional autoencoders (ablation)hubREP · BBCSportACC: 0.9246 -> 0.9632Helped
add hub-aware representation embedding and cross-view pairing losses rather than using conventional autoencoders (ablation)hubREP · BDGPACC: 0.7211 -> 0.9868Helped
add hub-aware representation embedding and cross-view pairing losses rather than using conventional autoencoders (ablation)hubREP · ReutersACC: 0.5102 -> 0.6533Helped
add the hub-aware representation embedding loss Ls (ablation)hubREP · 3SourcesACC: 0.3629 -> 0.9290Helped
add the hub-aware representation embedding loss Ls (ablation)hubREP · BBCSportACC: 0.4136 -> 0.9632Helped
add the hub-aware representation embedding loss Ls (ablation)hubREP · BDGPACC: 0.4778 -> 0.9868Helped
add the hub-aware representation embedding loss Ls (ablation)hubREP · ReutersACC: 0.2417 -> 0.6533Helped
add the hub-aware cross-view pairing loss Lc (ablation)hubREP · 3SourcesACC: 0.8817 -> 0.9290Helped
add the hub-aware cross-view pairing loss Lc (ablation)hubREP · BBCSportACC: 0.9400 -> 0.9632Helped
add the hub-aware cross-view pairing loss Lc (ablation)hubREP · BDGPACC: 0.9348 -> 0.9868Helped
add the hub-aware cross-view pairing loss Lc (ablation)hubREP · ReutersACC: 0.5322 -> 0.6533Helped

Surprising findings

Limitations

Experimental setup

Datasets: 3Sources BBCSport BDGP MNIST-USPS Hdigit Reuters Animal Noisymnist

Benchmarks: 3Sources BBCSport BDGP MNIST-USPS Hdigit Reuters Animal Noisymnist

Metrics: ACC NMI ARI PUR PRE REC F1 SK HO

Baselines: MCGC EAMC MFLVC AECoDDC GCFAgg DFP-GNN DMCAG S2MVTC MVCAN SURER

Builds on: DMCAG t-SNE nohub (transductive few-shot hubness reduction) graph autoencoder

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