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Deep Variational Incomplete Multi-View Clustering: Exploring Shared Clustering Structures
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Proposes DVIMC, an imputation-free deep variational method for incomplete multi-view clustering that fuses view-specific VAE encoders via Product-of-Experts with a coherence KL loss and a VaDE-style Mixture-of-Gaussians prior.
Problem
Incomplete multi-view clustering, where samples miss some views; imputation-based methods risk inaccurate imputations and imputation-free methods suffer from information imbalance across views and under-exploit shared information.
Approach
Aggregates available view-specific VAE posteriors with Product-of-Experts into a common latent, adds a coherence loss (average KL between the aggregated and each single-view posterior) to counter information imbalance, and imposes a Mixture-of-Gaussians prior with the VaDE trick so the shared representation is clustering-friendly.
Key results
- On Caltech7-5V at missing rate 0.5, DVIMC's ACC and NMI are about 10% and 15% higher than the second-best method DIMVC.
- On NoisyMNIST at missing rate 0.7, DVIMC reaches ACC 0.9118 versus 0.5443 for MVAE, roughly a 37% improvement.
- DVIMC outperforms the other VAE-based methods (MVAE, DMVCVAE, Multi-VAE) on all four datasets across all metrics in the reported tables.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Add the coherence objective loss to DVIMC (vanilla) (ablation) | DVIMC · Four datasets at different missing view rates | clustering performance | Helped |
| Use Product-of-Experts aggregation instead of weight summarization (ablation) | DVIMC (vanilla) · Four datasets at different missing view rates | clustering performance | Helped |
| Use a clustering-structured latent prior and VaDE trick instead of MVAE's latent prior (ablation) | DVIMC (vanilla) · Four datasets at different missing view rates | clustering performance | Helped |
| Use DVIMC instead of the strongest baseline | Caltech7-5V · Caltech7-5V, missing rates 0.1, 0.3, 0.5, and 0.7 | ACC: 0.895 vs 0.834; 0.886 vs 0.798; 0.868 vs 0.760; 0.844 vs 0.715 | Helped |
| Use DVIMC instead of the strongest baseline | Scene-15 · Scene-15, missing rates 0.1, 0.3, 0.5, and 0.7 | ACC: 0.479 vs 0.456; 0.454 vs 0.424; 0.442 vs 0.412; 0.411 vs 0.386 | Helped |
| Use DVIMC instead of the strongest baseline | Multi-Fashion · Multi-Fashion, missing rates 0.1, 0.3, 0.5, and 0.7 | ACC: 0.883 vs 0.880; 0.879 vs 0.873; 0.824 vs 0.835; 0.815 vs 0.796 | Mixed |
| Use DVIMC instead of the strongest baseline | NoisyMNIST · NoisyMNIST, missing rates 0.1, 0.3, 0.5, and 0.7 | ACC: 0.965 vs 0.891; 0.943 vs 0.912; 0.923 vs 0.894; 0.911 vs 0.875 | Helped |
| Increase the missing view rate | DVIMC · Four datasets | ACC: 0.895 to 0.844; 0.479 to 0.411; 0.883 to 0.815; 0.965 to 0.911 | Hurt |
Surprising findings
- The paper reports that the VAE-based baselines degrade sharply as the missing rate grows, while the imputation-based DCP is strong on NoisyMNIST at some rates.
Limitations
- Regularization parameter alpha must be tuned per dataset (5, 10, or 20 used), and too large or small values hurt clustering.
- Imputation-free design relies on the PoE aggregation, which may still be dominated by low-variance views in some regimes.
- Evaluation is limited to four datasets with synthetic random missing-view construction.
Experimental setup
Datasets: Caltech7-5V Scene-15 Multi-Fashion NoisyMNIST
Benchmarks: Caltech7-5V Scene-15 Multi-Fashion NoisyMNIST
Metrics: ACC NMI ARI PUR
Baselines: MVAE DMVCVAE Multi-VAE DIMVC DCP DSIMVC APADC
Builds on: VaDE Product-of-Experts MVAE DMVCVAE
Closest papers by meaning
- Deep Incomplete Multi-View Clustering via Hierarchical Imputation and Alignment (AAAI 2026 · similarity 0.95)
- Geometry-Aware Variational Information Maximization for Deep Incomplete Multi-view Clustering (AAAI 2026 · similarity 0.94)
- Adaptive Feature Imputation with Latent Graph for Deep Incomplete Multi-View Clustering (AAAI 2024 · similarity 0.94)
- Towards Resource-friendly, Extensible and Stable Incomplete Multi-view Clustering (ICML 2024 · similarity 0.92)
- Incomplete Multi-view Clustering via Diffusion Contrastive Generation (AAAI 2025 · similarity 0.92)
- Incomplete Contrastive Multi-View Clustering with High-Confidence Guiding (AAAI 2024 · similarity 0.92)
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