Benjamin Grimmer



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from Piled Higher and Deeper by Jorge Cham, www.phdcomics.com

Working Papers

Accelerated Objective Gap and Gradient Norm Convergence for Gradient Descent via Long Steps Slides, arXiv
Benjamin Grimmer, Kevin Shu, Alex L. Wang.

Scalable Projection-Free Optimization Methods via MultiRadial Duality Theory arXiv
Thabo Samakhoana, Benjamin Grimmer.

On Averaging and Extrapolation for Gradient Descent arXiv
Alan Luner, Benjamin Grimmer.

Goldstein Stationarity in Lipschitz Constrained Optimization arXiv
Benjamin Grimmer, Zhichao Jia.

Provably Faster Gradient Descent via Long Steps Youtube, arXiv
Benjamin Grimmer.

Some Primal-Dual Theory for Subgradient Methods for Strongly Convex Optimization arXiv, Julia
Benjamin Grimmer, Danlin Li.

Gauges and Accelerated Optimization over Smooth and/or Strongly Convex Sets arXiv, Julia
Ning Liu, Benjamin Grimmer.

First-Order Methods for Nonsmooth Nonconvex Functional Constrained Optimization with or without Slater Points arXiv, Julia
Zhichao Jia, Benjamin Grimmer.


Journal Publications

On Optimal Universal First-Order Methods for Minimizing Heterogeneous Sums Optimization Letters, 2023
Benjamin Grimmer. arXiv

Radial Duality Part I: Foundations Mathematical Programming, 2023
Benjamin Grimmer. arXiv

Radial Duality Part II: Applications and Algorithms Mathematical Programming, 2023
Benjamin Grimmer. arXiv, Julia

On the Linear Convergence of Extra-Gradient Methods for Nonconvex-Nonconcave Minimax Problems INFORMS Journal on Optimization, 2023
Saeed Hajizadeh, Haihao Lu, Benjamin Grimmer. arXiv

General Holder Smooth Convergence Rates Follow From Specialized Rates Assuming Growth Bounds Journal of Optimization Theory and Applications, 2023
Benjamin Grimmer. arXiv

Revisit of Spectral Bundle Methods: Primal-dual (Sub)linear Convergence Rates SIAM Journal on Optimization, 2023
Lijun Ding, Benjamin Grimmer. arXiv

Optimal Convergence Rates for the Proximal Bundle Method SIAM Journal on Optimization, 2023
Mateo Diaz, Benjamin Grimmer. arXiv, Julia

The Landscape of the Proximal Point Method for Nonconvex-Nonconcave Minimax Optimization Mathematical Programming, 2022
Benjamin Grimmer, Haihao Lu, Pratik Worah, Vahab Mirrokni. arXiv

A Simple Nearly-Optimal Restart Scheme For Speeding-Up First Order Methods Foundations of Computational Mathematics, 2021.
James Renegar, Benjamin Grimmer. arXiv, Julia

Proximally Guided Stochastic Subgradient Method for Nonsmooth, Nonconvex Problems SIAM Journal on Optimization, 2019
Damek Davis, Benjamin Grimmer. arXiv, Julia

Convergence Rates for Deterministic and Stochastic Subgradient Methods Without Lipschitz Continuity SIAM Journal on Optimization, 2019
Benjamin Grimmer. arXiv

Radial Subgradient Method SIAM Journal on Optimization, 2018
Benjamin Grimmer. arXiv, Julia

Dual-Based Approximation Algorithms for Cut-Based Network Connectivity Problems Algorithmica, 2017
Benjamin Grimmer. arXiv

Improved Approximation Algorithms for Single-Tiered Relay Placement Journal of Combinatorial Optimization, 2016
Gruia Calinescu, Benjamin Grimmer, Satyajayant Misra,
Sutep Tongngam, Guoliang Xue, Weiyi Zhang.


Unpublished Technical Reports

Accelerated Gradient Descent via Long Steps arXiv
(This work was greatly improved and replaced by the subsequent paper here.)
Benjamin Grimmer, Kevin Shu, Alex L. Wang.


Conference Papers

Limiting Behaviors of Nonconvex-Nonconcave Minimax Optimization via Continuous-Time Systems ALT, 2022
Benjamin Grimmer, Haihao Lu, Pratik Worah, Vahab Mirrokni. arXiv

Nash Equilibrium and the Price of Anarchy in Priority Based Network Routing INFOCOM, 2016
Benjamin Grimmer, Sanjiv Kapoor.

Design and Evaluation of the GeMTC Framework for GPU-enabled Many-Task Computing HPDC, 2014
Scott Krieder, Justin Wozniak, Timothy Armstrong, Michael Wilde,
Daniel Katz, Benjamin Grimmer, Ian Foster, Ioan Raicu.


Patents

Analytics for application programming interfaces United States Patent: 9,146,787
Qian Zhu, Teresa Tung, Benjamin Grimmer. Issued 7/29/2015