Sébastien Bubeck

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20092023

most citedProvably Robust Deep Learning via Adversarially Trained Smoothed Classifiers

261 citations · 1.4k across the 45 of their papers we have counts for

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Showing 2014 · math.OCShow all

2 papers · 2 filters

math.OC2014★ 21 cited

The entropic barrier: a simple and optimal universal self-concordant barrier

Sébastien Bubeck, Ronen Eldan

We prove that the Cramér transform of the uniform measure on a convex body in $R^{n}$ is a $(1 + o (1)) n$ -self-concordant barrier, improving a seminal result of Nesterov and N…

math.OC2014

Convex Optimization: Algorithms and Complexity

Sébastien Bubeck

This monograph presents the main complexity theorems in convex optimization and their corresponding algorithms. Starting from the fundamental theory of black-box optimization, the…