Search Results for author: Alexander Razborov

Found 2 papers, 0 papers with code

Improved Convergence Guarantees for Shallow Neural Networks

no code implementations5 Dec 2022 Alexander Razborov

We continue a long line of research aimed at proving convergence of depth 2 neural networks, trained via gradient descent, to a global minimum.

Clique Is Hard on Average for Regular Resolution

no code implementations17 Dec 2020 Albert Atserias, Ilario Bonacina, Susanna F. de Rezende, Massimo Lauria, Jakob Nordström, Alexander Razborov

We prove that for $k \ll \sqrt[4]{n}$ regular resolution requires length $n^{\Omega(k)}$ to establish that an Erd\H{o}s-R\'enyi graph with appropriately chosen edge density does not contain a $k$-clique.

Computational Complexity

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