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Your contrastive learning problem is secretly a distribution alignment problem

NeurIPS 2024 · Label-efficient and robust learning › Self-supervised and contrastive · approach: Inductive bias and minimal representations · 7 citations (OpenAlex)

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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

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use GCA-UOT instead of INCEContrastive learning · Computational complexityFlops: 6.31 MFlops -> 4.54 MFlopsHelped
Add iterative GCA to INCEINCE · Computational complexityFlops: 6.31 MFlops -> 6.65 MFlopsHurt
Increase the domain alignment weight (ablation)GCA-INCE · PACS domain classificationaccuracy: 72.11% to 95.16%Helped
Increase the domain alignment weight (ablation)GCA-INCE · PACS class classificationaccuracyNo clear effect

Limitations

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

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