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2002.12493
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Optimization with Momentum: Dynamical, Control-Theoretic, and Symplectic Perspectives
Journal of machine learning research (JMLR), 2020
28 February 2020
Michael Muehlebach
Sai Li
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Papers citing
"Optimization with Momentum: Dynamical, Control-Theoretic, and Symplectic Perspectives"
28 / 28 papers shown
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Conformal Symplectic Optimization for Stable Reinforcement Learning
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From exponential to finite/fixed-time stability: Applications to optimization
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Generalized Continuous-Time Models for Nesterov's Accelerated Gradient Methods
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Repelling-Attracting Hamiltonian Monte Carlo
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Giuseppe Belgioioso
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356
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25 Jan 2024
Gradient Descent with Polyak's Momentum Finds Flatter Minima via Large Catapults
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Junghyun Lee
Bohan Wang
Huishuai Zhang
Chulhee Yun
365
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25 Nov 2023
Accelerating optimization over the space of probability measures
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Wenxuan Wu
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466
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06 Oct 2023
Accelerated Optimization Landscape of Linear-Quadratic Regulator
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348
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On the connections between optimization algorithms, Lyapunov functions, and differential equations: theory and insights
SIAM Journal on Optimization (SIOPT), 2023
P. Dobson
J. Sanz-Serna
K. Zygalakis
366
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15 May 2023
On Underdamped Nesterov's Acceleration
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Bin Shi
Ya-xiang Yuan
299
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0
28 Apr 2023
Accelerated First-Order Optimization under Nonlinear Constraints
Mathematical programming (Math. Program.), 2023
Michael Muehlebach
Michael I. Jordan
564
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01 Feb 2023
Generalized Gradient Flows with Provable Fixed-Time Convergence and Fast Evasion of Non-Degenerate Saddle Points
IEEE Transactions on Automatic Control (TAC), 2022
Mayank Baranwal
Param Budhraja
V. Raj
A. Hota
281
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07 Dec 2022
Alternating Mirror Descent for Constrained Min-Max Games
Neural Information Processing Systems (NeurIPS), 2022
Andre Wibisono
Molei Tao
Georgios Piliouras
212
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0
08 Jun 2022
Self-Consistent Dynamical Field Theory of Kernel Evolution in Wide Neural Networks
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Blake Bordelon
Cengiz Pehlevan
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19 May 2022
A Survey on Distributed Online Optimization and Game
Xiuxian Li
Lihua Xie
Na Li
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01 May 2022
Resonance in Weight Space: Covariate Shift Can Drive Divergence of SGD with Momentum
International Conference on Learning Representations (ICLR), 2022
Kirby Banman
Liam Peet-Paré
N. Hegde
Alona Fyshe
Martha White
255
1
0
22 Mar 2022
Geometric Methods for Sampling, Optimisation, Inference and Adaptive Agents
Alessandro Barp
Lancelot Da Costa
G. Francca
Karl J. Friston
Mark Girolami
Michael I. Jordan
G. Pavliotis
433
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0
20 Mar 2022
Born-Infeld (BI) for AI: Energy-Conserving Descent (ECD) for Optimization
International Conference on Machine Learning (ICML), 2022
G. Luca
E. Silverstein
233
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0
26 Jan 2022
Optimization on manifolds: A symplectic approach
G. Francca
Alessandro Barp
Mark Girolami
Sai Li
294
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0
23 Jul 2021
On Constraints in First-Order Optimization: A View from Non-Smooth Dynamical Systems
Journal of machine learning research (JMLR), 2021
Michael Muehlebach
Sai Li
342
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0
17 Jul 2021
Revisiting the Role of Euler Numerical Integration on Acceleration and Stability in Convex Optimization
International Conference on Artificial Intelligence and Statistics (AISTATS), 2021
Peiyuan Zhang
Antonio Orvieto
Hadi Daneshmand
Thomas Hofmann
Roy S. Smith
160
11
0
23 Feb 2021
Optimizing Optimizers: Regret-optimal gradient descent algorithms
Annual Conference Computational Learning Theory (COLT), 2020
P. Casgrain
Anastasis Kratsios
325
6
0
31 Dec 2020
The connections between Lyapunov functions for some optimization algorithms and differential equations
SIAM Journal on Numerical Analysis (SINUM), 2020
J. Sanz-Serna
K. Zygalakis
413
30
0
01 Sep 2020
On dissipative symplectic integration with applications to gradient-based optimization
Journal of Statistical Mechanics: Theory and Experiment (JSTAT), 2020
G. Francca
Sai Li
René Vidal
402
48
0
15 Apr 2020
Implicit Regularization and Momentum Algorithms in Nonlinearly Parameterized Adaptive Control and Prediction
Neural Computation (Neural Comput.), 2019
Nicholas M. Boffi
Jean-Jacques E. Slotine
361
46
0
31 Dec 2019
Conformal Symplectic and Relativistic Optimization
G. Francca
Jeremias Sulam
Daniel P. Robinson
René Vidal
587
75
0
11 Mar 2019
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