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2004.06840
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On dissipative symplectic integration with applications to gradient-based optimization
Journal of Statistical Mechanics: Theory and Experiment (JSTAT), 2020
15 April 2020
G. Francca
Sai Li
René Vidal
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Papers citing
"On dissipative symplectic integration with applications to gradient-based optimization"
26 / 26 papers shown
Conformal Symplectic Optimization for Stable Reinforcement Learning
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A General Continuous-Time Formulation of Stochastic ADMM and Its Variants
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Implicit biases in multitask and continual learning from a backward error analysis perspective
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A Gentle Introduction to Gradient-Based Optimization and Variational Inequalities for Machine Learning
Journal of Statistical Mechanics: Theory and Experiment (J. Stat. Mech.), 2023
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Yatin Dandi
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09 Sep 2023
On the Implicit Bias of Adam
International Conference on Machine Learning (ICML), 2023
M. D. Cattaneo
Jason M. Klusowski
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31 Aug 2023
On the connections between optimization algorithms, Lyapunov functions, and differential equations: theory and insights
SIAM Journal on Optimization (SIOPT), 2023
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J. Sanz-Serna
K. Zygalakis
366
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15 May 2023
On a continuous time model of gradient descent dynamics and instability in deep learning
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Yan Wu
Chongli Qin
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508
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03 Feb 2023
Continuous-time Analysis for Variational Inequalities: An Overview and Desiderata
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Ya-Ping Hsieh
Michael I. Jordan
215
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14 Jul 2022
On Numerical Integration in Neural Ordinary Differential Equations
International Conference on Machine Learning (ICML), 2022
Aiqing Zhu
Pengzhan Jin
Beibei Zhu
Yifa Tang
371
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15 Jun 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
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433
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20 Mar 2022
Last-Iterate Convergence of Saddle-Point Optimizers via High-Resolution Differential Equations
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Manolis Zampetakis
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27 Dec 2021
A More Stable Accelerated Gradient Method Inspired by Continuous-Time Perspective
Yasong Feng
Weiguo Gao
230
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Optimization on manifolds: A symplectic approach
G. Francca
Alessandro Barp
Mark Girolami
Sai Li
294
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23 Jul 2021
Revisiting the Effects of Stochasticity for Hamiltonian Samplers
International Conference on Machine Learning (ICML), 2021
Giulio Franzese
Dimitrios Milios
Maurizio Filippone
Pietro Michiardi
267
3
0
30 Jun 2021
Fast symplectic integrator for Nesterov-type acceleration method
Japan journal of industrial and applied mathematics (JJIAM), 2021
S. Goto
H. Hino
113
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01 Jun 2021
Discretization Drift in Two-Player Games
International Conference on Machine Learning (ICML), 2021
Mihaela Rosca
Yan Wu
Benoit Dherin
David Barrett
252
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0
28 May 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
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23 Feb 2021
Optimizing Optimizers: Regret-optimal gradient descent algorithms
Annual Conference Computational Learning Theory (COLT), 2020
P. Casgrain
Anastasis Kratsios
325
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0
31 Dec 2020
Implicit Gradient Regularization
International Conference on Learning Representations (ICLR), 2020
David Barrett
Benoit Dherin
474
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23 Sep 2020
Lagrangian and Hamiltonian Mechanics for Probabilities on the Statistical Manifold
International Journal of Geometric Methods in Modern Physics (IJGMMP) (IJGMMP), 2020
G. Chirco
Luigi Malagò
Giovanni Pistone
235
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0
20 Sep 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
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01 Sep 2020
Bregman dynamics, contact transformations and convex optimization
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A. Bravetti
M. Daza-Torres
Hugo Flores-Arguedas
M. Betancourt
333
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0
06 Dec 2019
Gradient flows and proximal splitting methods: A unified view on accelerated and stochastic optimization
Physical Review E (PRE), 2019
G. França
Daniel P. Robinson
René Vidal
552
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02 Aug 2019
Conformal Symplectic and Relativistic Optimization
G. Francca
Jeremias Sulam
Daniel P. Robinson
René Vidal
587
75
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11 Mar 2019
A Nonsmooth Dynamical Systems Perspective on Accelerated Extensions of ADMM
G. França
Daniel P. Robinson
René Vidal
705
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13 Aug 2018
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