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PROTOCOL: Partial Optimal Transport-enhanced Contrastive Learning for Imbalanced Multi-view Clustering

ICML 2025 · Learning theory and algorithms › Clustering · approach: Incomplete multi-view clustering · 0 citations (OpenAlex)

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Proposes PROTOCOL, a partial/unbalanced optimal-transport self-labeling and class-rebalanced contrastive framework for clustering imbalanced multi-view data.

Problem

Contrastive multi-view clustering implicitly assumes balanced class distributions, so it degrades on real-world multi-view data with class imbalance and under-represents minority samples.

Approach

Reformulates imbalanced multi-view self-labeling as a partial optimal transport problem combined with unbalanced OT (progressive mass constraint and weighted KL on class marginals), then uses the resulting POT labels for feature-level logit adjustment and class-level class-sensitive contrastive learning.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add POT label assignment to the Base method (ablation)PROTOCOL · Caltech R=0.1 and 0.5; Hdigit R=0.1 and 0.5; Fashion R=0.1 and 0.5ACC: Caltech R=0.1: 0.719 -> 0.772; R=0.5: 0.737 -> 0.757; Hdigit R=0.1: 0.722 -> 0.876; R=0.5: 0.979 -> 0.980; Fashion R=0.1Helped
Add POT-guided class-rebalanced contrastive learning to the POT variant (ablation)PROTOCOL · Caltech R=0.1 and 0.5; Hdigit R=0.1 and 0.5; Fashion R=0.1 and 0.5ACC: Caltech R=0.1: 0.772 -> 0.791; R=0.5: 0.757 -> 0.767; Hdigit R=0.1: 0.876 -> 0.892; R=0.5: 0.980 -> 0.983; Fashion R=0.1Helped
Use PROTOCOL instead of the strongest baselineImbalanced multi-view clustering · Hdigit, Fashion, Caltech, NUS-WIDE, and Cifar10, R=0.1; except NUS-WIDE R=0.5ACC: Hdigit: 0.825 -> 0.892; Fashion: 0.804 -> 0.846; Caltech: 0.743 -> 0.791; NUS-WIDE: 0.440 -> 0.470; Cifar10: 0.851 -> 0.Helped
Use PROTOCOL instead of the strongest baselineImbalanced multi-view clustering · Hdigit, Fashion, Caltech, and Cifar10, R=0.5; NUS-WIDE R=0.5ACC: Hdigit: 0.980 -> 0.983; Fashion: 0.983 -> 0.987; Caltech: 0.761 -> 0.767; NUS-WIDE: 0.545 -> 0.542; Cifar10: 0.990 -> 0.Mixed

Surprising findings

Limitations

Experimental setup

Datasets: Hdigit Fashion NUS-WIDE Caltech Cifar10

Benchmarks: Hdigit Fashion Caltech NUS-WIDE Cifar10

Metrics: ACC NMI PUR

Baselines: CoMVC MFLVC AECoDDC GCFAggMVC SEM CSOT DSIMVC AR-DMVC AR-DMVC-AM

Builds on: Sinkhorn entropic optimal transport partial optimal transport unbalanced optimal transport SeLa P2OT GCFAggMVC

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