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Paper · arXiv

Martingale-Consistent Self-Supervised Learning

Self-supervised learning (SSL) is often deployed under changing information, such as shorter histories, missing features, or partially observed images. In these settings, predictions from coarse and refined views should be coherent: before refinement, the coarse-view prediction should match the average prediction expected after refinement. Martingales formalize this coherence principle, but standard SSL objectives do not enforce it. Unlike invariance objectives that pull views together, martingale consistency constrains only the expected refined prediction, allowing predictions to update as information is revealed while preventing systematic drift. We introduce a martingale-consistent SSL...

AuthorsMoritz Gögl, Hanwen Xing, Christopher Yau
Primary categorycs.LG
Published12 May 2026
Last updated at source12 May 2026
cs.LGcs.AI
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