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Paper · arXiv

Understanding Self-Supervised Learning via Latent Distribution Matching

Self-supervised learning (SSL) excels at finding general-purpose latent representations from complex data, yet lacks a unifying theoretical framework that explains the diverse existing methods and guides the design of new ones. We cast SSL as latent distribution matching (LDM): learning representations that maximize their log-probability under an assumed latent model (alignment), while maximizing latent entropy to prevent collapse (uniformity). This view unifies independent component analysis with contrastive, non-contrastive, and predictive SSL methods, including stop gradient approaches. Leveraging LDM, we derive a nonlinear, sampling-free Bayesian filtering model with a Kalman-based pr...

AuthorsFabian A Mikulasch, Friedemann Zenke
Primary categorycs.LG
Published5 May 2026
Last updated at source21 July 2026
cs.LGstat.ML
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