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A Hubness Perspective on Representation Learning for Graph-Based Multi-View Clustering
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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
- On 3Sources, hubREP reaches 0.9290 ACC, 21.30% higher than the closest competitor, and wins in all but one case on the eight benchmarks.
- Plugging hubREP into DMCAG on BBCSport raises ACC from 0.6654 to 0.8143 while cutting parameters from 11.57M to 7.94M.
- Skewness (hubness) correlates negatively with clustering performance (r=-0.36 with ACC, r=-0.57 with NMI, p<0.05).
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| add hub-aware representation embedding and cross-view pairing losses rather than using conventional autoencoders (ablation) | hubREP · 3Sources | ACC: 0.7065 -> 0.9290 | Helped |
| add hub-aware representation embedding and cross-view pairing losses rather than using conventional autoencoders (ablation) | hubREP · BBCSport | ACC: 0.9246 -> 0.9632 | Helped |
| add hub-aware representation embedding and cross-view pairing losses rather than using conventional autoencoders (ablation) | hubREP · BDGP | ACC: 0.7211 -> 0.9868 | Helped |
| add hub-aware representation embedding and cross-view pairing losses rather than using conventional autoencoders (ablation) | hubREP · Reuters | ACC: 0.5102 -> 0.6533 | Helped |
| add the hub-aware representation embedding loss Ls (ablation) | hubREP · 3Sources | ACC: 0.3629 -> 0.9290 | Helped |
| add the hub-aware representation embedding loss Ls (ablation) | hubREP · BBCSport | ACC: 0.4136 -> 0.9632 | Helped |
| add the hub-aware representation embedding loss Ls (ablation) | hubREP · BDGP | ACC: 0.4778 -> 0.9868 | Helped |
| add the hub-aware representation embedding loss Ls (ablation) | hubREP · Reuters | ACC: 0.2417 -> 0.6533 | Helped |
| add the hub-aware cross-view pairing loss Lc (ablation) | hubREP · 3Sources | ACC: 0.8817 -> 0.9290 | Helped |
| add the hub-aware cross-view pairing loss Lc (ablation) | hubREP · BBCSport | ACC: 0.9400 -> 0.9632 | Helped |
| add the hub-aware cross-view pairing loss Lc (ablation) | hubREP · BDGP | ACC: 0.9348 -> 0.9868 | Helped |
| add the hub-aware cross-view pairing loss Lc (ablation) | hubREP · Reuters | ACC: 0.5322 -> 0.6533 | Helped |
Surprising findings
- Reducing embedding dimensionality to avoid hubness hurts clustering performance due to information loss.
- Hubness reduction via simple normalization (L2, ZN, CL2N) consistently improves GMVC clustering across datasets.
Limitations
- Hubness reduction trades off against information loss when dimensionality is reduced, requiring careful dimension choice.
- Some datasets (e.g., Animal, MNIST-USPS) show weaker or mixed results relative to baselines; hubREP does not win every case.
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
Closest papers by meaning
- Multi-View Graph Clustering via Node-Guided Contrastive Encoding (ICML 2025 · similarity 0.88)
- A Non-parametric Graph Clustering Framework for Multi-View Data (AAAI 2024 · similarity 0.87)
- Highly Efficient Rotation-Invariant Spectral Embedding for Scalable Incomplete Multi-View Clustering (AAAI 2025 · similarity 0.87)
- SURER: Structure-Adaptive Unified Graph Neural Network for Multi-View Clustering (AAAI 2024 · similarity 0.87)
- From Spectrum-free towards Baseline-view-free: Double-track Proximity Driven Multi-view Clustering (ICML 2025 · similarity 0.87)
- Fast Incomplete Multi-view Clustering with Adaptive Similarity Completion and Reconstruction (AAAI 2025 · similarity 0.87)
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