Research map / Learning theory and algorithms / Clustering
PROTOCOL: Partial Optimal Transport-enhanced Contrastive Learning for Imbalanced Multi-view Clustering
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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
- At imbalance ratio R=0.1, PROTOCOL reaches 0.892 ACC on Hdigit versus 0.825 for the second-best method (SEM), a 6.7% gain.
- At R=0.1 on Caltech, PROTOCOL achieves 0.791 ACC and 0.679 NMI, improving over GCFAggMVC (0.743 ACC, 0.642 NMI).
- Ablation on Hdigit at R=0.1 shows the POT label assignment raises ACC from 0.722 to 0.876 over the base model.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| 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 0.5 | ACC: 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=0.1 | Helped |
| 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 0.5 | ACC: 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=0.1 | Helped |
| Use PROTOCOL instead of the strongest baseline | Imbalanced multi-view clustering · Hdigit, Fashion, Caltech, NUS-WIDE, and Cifar10, R=0.1; except NUS-WIDE R=0.5 | ACC: 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 baseline | Imbalanced multi-view clustering · Hdigit, Fashion, Caltech, and Cifar10, R=0.5; NUS-WIDE R=0.5 | ACC: 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
- Several baselines (e.g., NUS-WIDE and Caltech) show lower performance under more severe imbalance, with the degradation most pronounced at R=0.1.
Limitations
- Imbalance is simulated by subsampling benchmark datasets rather than using naturally imbalanced multi-view data.
- Hyperparameters (temperatures, weights w_v and w_t) are chosen empirically with limited sensitivity analysis.
- Hardware and compute cost are not reported.
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
Closest papers by meaning
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