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Your contrastive learning problem is secretly a distribution alignment problem
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Reframes contrastive learning losses (InfoNCE, RINCE, BYOL) as proximal/Bregman-projection alignment problems with entropic optimal transport, yielding multistep GCA variants and unbalanced OT losses (GCA-UOT).
Problem
Contrastive learning's theoretical foundations and the mechanisms by which it builds representations are poorly understood; existing losses lack flexible control over alignment constraints and are fragile to noisy views.
Approach
Interpret InfoNCE, RINCE and BYOL as single-step Bregman/proximal projections of the augmentation kernel onto marginal constraint sets; iterating Sinkhorn-style projections (and relaxing marginals with unbalanced OT) gives a family of GCA losses with a customizable target transport plan.
Key results
- GCA-UOT achieves the top accuracy on all four standard datasets in the reported table (e.g., 93.50% on CIFAR-10 with ResNet-18 vs 93.27% for best INCE-based baseline column shown).
- On PACS, increasing domain alignment weight raises domain classification accuracy from 72.11% to 95.16% without hurting class accuracy.
- GCA-INCE adds about 5% FLOPs over INCE (6.65 vs 6.31 MFlops), while GCA-UOT saves about 30% (4.54 MFlops).
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use GCA-UOT instead of INCE | Contrastive learning · Computational complexity | Flops: 6.31 MFlops -> 4.54 MFlops | Helped |
| Add iterative GCA to INCE | INCE · Computational complexity | Flops: 6.31 MFlops -> 6.65 MFlops | Hurt |
| Increase the domain alignment weight (ablation) | GCA-INCE · PACS domain classification | accuracy: 72.11% to 95.16% | Helped |
| Increase the domain alignment weight (ablation) | GCA-INCE · PACS class classification | accuracy | No clear effect |
Limitations
- Theoretical equivalences rely on idealized assumptions (expressivity of encoder, small intra-class variance) for the uniformity-to-CE claim.
- Gains over baselines are often small (fractions of a percentage point) relative to reported standard deviations.
Experimental setup
Datasets: CIFAR-10 CIFAR-100 SVHN ImageNet100 CIFAR-10C PACS
Benchmarks: CIFAR-10 CIFAR-100 SVHN ImageNet100 CIFAR-10C PACS
Metrics: test accuracy (%)
Baselines: INCE RINCE BYOL SimCLR IOT IOT-uni
Builds on: InfoNCE RINCE BYOL SimCLR Sinkhorn algorithm
Closest papers by meaning
- Understanding and Generalizing Contrastive Learning from the Inverse Optimal Transport Perspective (ICML 2023 · similarity 0.90)
- The Loss Is Not Enough: Sampling Conditions and Inductive Bias in Contrastive Representation Learning (ICML 2026 · similarity 0.89)
- On the Similarities of Embeddings in Contrastive Learning (ICML 2025 · similarity 0.88)
- $\mathbb{X}$-Sample Contrastive Loss: Improving Contrastive Learning with Sample Similarity Graphs (ICLR 2025 · similarity 0.87)
- Aligning Visual Contrastive learning models via Preference Optimization (ICLR 2025 · similarity 0.87)
- BECLR: Batch Enhanced Contrastive Few-Shot Learning (ICLR 2024 · similarity 0.87)
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