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math.OC2021
Near-Optimal Lower Bounds For Convex Optimization For All Orders of Smoothness
Ankit Garg, Robin Kothari, Praneeth Netrapalli +1
We study the complexity of optimizing highly smooth convex functions. For a positive integer , we want to find an -approximate minimum of a convex function , given oracle…
math.OC2019★ 64 cited
Towards a theory of non-commutative optimization: geodesic first and second order methods for moment maps and polytopes
Peter Bürgisser, Cole Franks, Ankit Garg +3
This paper initiates a systematic development of a theory of non-commutative optimization. It aims to unify and generalize a growing body of work from the past few years which deve…