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A Non-parametric Graph Clustering Framework for Multi-View Data
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Proposes NpGC, a hyper-parameter-free multi-view graph clustering framework that builds a consensus bipartite graph from view-related and view-unrelated anchors, with linear complexity, evaluated on six multi-view datasets against 17 baselines.
Problem
Multi-view graph clustering methods usually depend on at least one hyper-parameter, which complicates tuning, solving, and scalability to large datasets.
Approach
Replaces the hyper-parameter that balances reconstruction error and regularization with two anchor sets (view-related and view-unrelated) that are jointly learned and linked directly to a consensus bipartite graph built at anchor level, rather than merging per-view graphs.
Key results
- On Calte101view3, NpGC reaches 35.55% ACC, 28.12% NMI, 38.55% purity, outperforming the best baseline PFSC (35.41% ACC) and others, while having zero hyper-parameters.
- On STL10, NpGC achieves 87.46% ACC, behind UDBGL (83.29%) on NMI? No: NpGC gets 88.53% NMI vs UDBGL 88.99%, so UDBGL is second-best on NMI; NpGC is best on ACC and purity.
- NpGC handles datasets up to 126,054 samples (YTF50) with linear time and space complexity, while several baselines fail with N/A on the larger datasets.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| add view-unrelated anchors to view-related anchors (ablation) | NpGC · Calte101view3 | ACC: 33.96±1.50 -> 35.55±2.25 | Helped |
| add view-related anchors to view-unrelated anchors (ablation) | NpGC · Calte101view3 | ACC: 32.95±3.37 -> 35.55±2.25 | Helped |
| add view-unrelated anchors to view-related anchors (ablation) | NpGC · CCV | ACC: 22.81±0.92 -> 23.39±0.96 | Helped |
| add view-related anchors to view-unrelated anchors (ablation) | NpGC · CCV | ACC: 23.01±0.75 -> 23.39±0.96 | Helped |
| add view-unrelated anchors to view-related anchors (ablation) | NpGC · STL10 | ACC: 83.99±7.66 -> 87.46±8.26 | Helped |
| add view-related anchors to view-unrelated anchors (ablation) | NpGC · STL10 | ACC: 86.13±3.91 -> 87.46±8.26 | Helped |
| add view-unrelated anchors to view-related anchors (ablation) | NpGC · VGGFace100 | ACC: 9.01±0.41 -> 9.28±0.32 | Helped |
| add view-related anchors to view-unrelated anchors (ablation) | NpGC · VGGFace100 | ACC: 8.44±0.31 -> 9.28±0.32 | Helped |
| add view-unrelated anchors to view-related anchors (ablation) | NpGC · YTF20 | ACC: 64.97±5.22 -> 65.76±5.13 | Helped |
| add view-related anchors to view-unrelated anchors (ablation) | NpGC · YTF20 | ACC: 64.32±5.33 -> 65.76±5.13 | Helped |
| add view-unrelated anchors to view-related anchors (ablation) | NpGC · YTF50 | ACC: 65.32±3.37 -> 66.13±3.01 | Helped |
| add view-related anchors to view-unrelated anchors (ablation) | NpGC · YTF50 | ACC: 64.99±3.19 -> 66.13±3.01 | Helped |
Surprising findings
- Several baselines (MVSC, AMGL, MLRSSC, MSCIAS, SFMC, PGSC, EEOMVC) cannot run on the larger datasets YTF20 and YTF50.
Limitations
- Second-best results on STL10 and YTF20/YTF50 relative to BMVC and UDBGL, which use view adjustment policies to weight views.
- Authors note that anchor weighting schemes are not yet designed and could further improve performance.
Experimental setup
Datasets: Caltech101-7 (Calte101view3) CCV STL10 VGGFace100 YTF20 YTF50
Benchmarks: Calte101view3 CCV STL10 VGGFace100 YTF20 YTF50
Metrics: ACC NMI Purity Fscore Precision running time
Baselines: MVSC AMGL MLRSSC MSCIAS BMVC FMR mPAC MCLES PMSC PFSC FMCNOF FPMVS
Builds on: anchor graph clustering spectral clustering
Closest papers by meaning
- Medusa: A Multi-Scale High-order Contrastive Dual-Diffusion Approach for Multi-View Clustering (CVPR 2025 · similarity 0.91)
- Anchors Bring Ease: An Embarrassingly Simple Approach to Partial Multi-View Clustering (AAAI 2019 · similarity 0.91)
- Incomplete and Unpaired Multi-View Graph Clustering with Cross-View Feature Fusion (AAAI 2025 · similarity 0.91)
- Attribute-Missing Multi-view Graph Clustering (CVPR 2025 · similarity 0.90)
- Learn from View Correlation: An Anchor Enhancement Strategy for Multi-view Clustering (CVPR 2024 · similarity 0.90)
- SURER: Structure-Adaptive Unified Graph Neural Network for Multi-View Clustering (AAAI 2024 · similarity 0.89)
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