Mathematics > Optimization and Control
[Submitted on 19 Dec 2018 (v1), last revised 23 Jun 2019 (this version, v2)]
Title:Near-optimal method for highly smooth convex optimization
View PDFAbstract:We propose a near-optimal method for highly smooth convex optimization. More precisely, in the oracle model where one obtains the $p^{th}$ order Taylor expansion of a function at the query point, we propose a method with rate of convergence $\tilde{O}(1/k^{\frac{ 3p +1}{2}})$ after $k$ queries to the oracle for any convex function whose $p^{th}$ order derivative is Lipschitz.
Submission history
From: Aaron Sidford [view email][v1] Wed, 19 Dec 2018 15:37:25 UTC (13 KB)
[v2] Sun, 23 Jun 2019 01:56:34 UTC (13 KB)
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