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We study the complexity of optimizing highly smooth convex functions.
A method of solving a convex programming problem with convergence rate O ( 1 / k 2 ) O(1/k^{2})
Yu. E. Nesterov · 1983
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Problem complexity and method efficiency in optimization
Arkadiĭ Nemirovsky and David Borisovich Yudin · 1983
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On parallel complexity of nonsmooth convex optimization
Arkadi Nemirovski · 1994
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An elementary introduction to modern convex geometry
Keith Ball · 1997
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Strengths and weaknesses of quantum computing
Charles H. Bennett, Ethan Bernstein, Gilles Brassard, and Umesh Vazirani · 1997
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Accelerating the cubic regularization of newton’s method on convex problems
Yu. Nesterov · 2008
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Estimate sequence methods: extensions and approximations
Michel Baes · 2009
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Infimal Convolution
Heinz H. Bauschke and Patrick L. Combettes · 2011
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An accelerated hybrid proximal extragradient method for convex optimization and its implications to second-order methods
Renato D. C. Monteiro and B. F. Svaiter · 2013
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On lower complexity bounds for large-scale smooth convex optimization
Cristóbal Guzmán and Arkadi Nemirovski · 2014
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Lower bounds for higher-order convex optimization
Naman Agarwal and Elad Hazan · 2018
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Oracle complexity of second-order methods for smooth convex optimization
Yossi Arjevani, Ohad Shamir, and Ron Shiff · 2019
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Complexity of highly parallel non-smooth convex optimization
Sébastien Bubeck, Qijia Jiang, Yin Tat Lee, Yuanzhi Li, and Aaron Sidford · 2019
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Near-optimal method for highly smooth convex optimization
Sébastien Bubeck, Qijia Jiang, Yin Tat Lee, Yuanzhi Li, and Aaron Sidford · 2019
An optimal high-order tensor method for convex optimization
Bo Jiang, Haoyue Wang, and Shuzhong Zhang · 2019
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Implementable tensor methods in unconstrained convex optimization
Yurii Nesterov · 2019
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Convex optimization using quantum oracles
Joran van Apeldoorn, András Gilyén, Sander Gribling, and Ronald de Wolf · 2020
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Highly smooth minimization of non-smooth problems
Brian Bullins · 2020
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Quantum algorithms and lower bounds for convex optimization
Shouvanik Chakrabarti, Andrew M. Childs, Tongyang Li, and Xiaodi Wu · 2020
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Lower bounds for parallel and randomized convex optimization
Jelena Diakonikolas and Cristóbal Guzmán · 2020
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Cited alongside, same era.
Optimal tensor methods in smooth convex and uniformly convexoptimization
Alexander Gasnikov, Pavel Dvurechensky, Eduard Gorbunov, Evgeniya Vorontsova, Daniil Selikhanovych, and César A. Uribe · 2019
Cited alongside, same era.
No Quantum Speedup over Gradient Descent for Non-Smooth Convex Optimization
Ankit Garg, Robin Kothari, Praneeth Netrapalli, and Suhail Sherif · 2021
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