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Thresholds of descending algorithms in inference problems

lib:d9d204de18fbc933 (v1.0.0)

Authors: Stefano Sarao Mannelli,Lenka Zdeborova
ArXiv: 2001.00479
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Abstract URL: https://arxiv.org/abs/2001.00479v2


We review recent works on analyzing the dynamics of gradient-based algorithms in a prototypical statistical inference problem. Using methods and insights from the physics of glassy systems, these works showed how to understand quantitatively and qualitatively the performance of gradient-based algorithms. Here we review the key results and their interpretation in non-technical terms accessible to a wide audience of physicists in the context of related works.

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