Thresholds of descending algorithms in inference problems

Stefano Sarao Mannelli; Lenka Zdeborova

doi:10.1088/1742-5468/ab7123

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arXiv · 2001.00479

Thresholds of descending algorithms in inference problems

Stefano Sarao Mannelli·Lenka Zdeborova

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Abstract

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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Stefano Sarao Mannelli, Lenka Zdeborova. 2020-01-04. Thresholds of descending algorithms in inference problems. https://doi.org/10.1088/1742-5468%2Fab7123

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