Thresholds of descending algorithms in inference problems

2 Jan 2020  ·  Stefano Sarao Mannelli, Lenka Zdeborova ·

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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