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Paper · arXiv

Explaining Machine Learning and Memorization with Statistical Mechanics

Artificial neural networks (NNs) and machine learning (ML) algorithms are poorly understood from a theoretical perspective, which makes it difficult to fully realize their potential and overcome their weaknesses. For instance, ML algorithms train NN weights by moving them along a low-dimensional subspace of their allowed values, but this implicitly low-dimensional learning structure is not properly exploited to improve training because its nature is not well understood. Moreover, trained NNs are easily confused by pervasive adversarial attacks whose theoretical underpinnings are still unclear. This thesis aims to improve our theoretical understanding of NNs and ML, with a particular focus...

AuthorsRobin Theriault
Primary categorycs.LG
Published30 June 2026
Last updated at source30 June 2026
cs.LGcond-mat.stat-mech
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