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Deep Variational Incomplete Multi-View Clustering: Exploring Shared Clustering Structures

AAAI 2024 · Learning theory and algorithms › Clustering · approach: Incomplete multi-view clustering · 28 citations (OpenAlex)

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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

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add the coherence objective loss to DVIMC (vanilla) (ablation)DVIMC · Four datasets at different missing view ratesclustering performanceHelped
Use Product-of-Experts aggregation instead of weight summarization (ablation)DVIMC (vanilla) · Four datasets at different missing view ratesclustering performanceHelped
Use a clustering-structured latent prior and VaDE trick instead of MVAE's latent prior (ablation)DVIMC (vanilla) · Four datasets at different missing view ratesclustering performanceHelped
Use DVIMC instead of the strongest baselineCaltech7-5V · Caltech7-5V, missing rates 0.1, 0.3, 0.5, and 0.7ACC: 0.895 vs 0.834; 0.886 vs 0.798; 0.868 vs 0.760; 0.844 vs 0.715Helped
Use DVIMC instead of the strongest baselineScene-15 · Scene-15, missing rates 0.1, 0.3, 0.5, and 0.7ACC: 0.479 vs 0.456; 0.454 vs 0.424; 0.442 vs 0.412; 0.411 vs 0.386Helped
Use DVIMC instead of the strongest baselineMulti-Fashion · Multi-Fashion, missing rates 0.1, 0.3, 0.5, and 0.7ACC: 0.883 vs 0.880; 0.879 vs 0.873; 0.824 vs 0.835; 0.815 vs 0.796Mixed
Use DVIMC instead of the strongest baselineNoisyMNIST · NoisyMNIST, missing rates 0.1, 0.3, 0.5, and 0.7ACC: 0.965 vs 0.891; 0.943 vs 0.912; 0.923 vs 0.894; 0.911 vs 0.875Helped
Increase the missing view rateDVIMC · Four datasetsACC: 0.895 to 0.844; 0.479 to 0.411; 0.883 to 0.815; 0.965 to 0.911Hurt

Surprising findings

Limitations

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

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