Mean-Field Langevin Dynamics and Energy Landscape of Neural Networks

19 May 2019

Papers citing "Mean-Field Langevin Dynamics and Energy Landscape of Neural Networks"

24 / 24 papers shown

Title
Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games Yulong Lu Pierre Monmarché MLT 34 0 0 12 May 2025
Mirror Mean-Field Langevin Dynamics Anming Gu Juno Kim 31 0 0 05 May 2025
Ultra-fast feature learning for the training of two-layer neural networks in the two-timescale regime Raphael Barboni Gabriel Peyré François-Xavier Vialard MLT 36 0 0 25 Apr 2025
Convergence Analysis of the Wasserstein Proximal Algorithm beyond Geodesic Convexity Shuailong Zhu Xiaohui Chen 77 0 0 28 Jan 2025
Learning Multi-Index Models with Neural Networks via Mean-Field Langevin Dynamics Alireza Mousavi-Hosseini Denny Wu Murat A. Erdogdu MLT AI4CE 35 6 0 14 Aug 2024
Partially Observed Trajectory Inference using Optimal Transport and a Dynamics Prior Anming Gu Edward Chien Kristjan Greenewald 46 4 0 11 Jun 2024
Symmetries in Overparametrized Neural Networks: A Mean-Field View Javier Maass Martínez Joaquin Fontbona FedML MLT 50 2 0 30 May 2024
Mean-field underdamped Langevin dynamics and its spacetime discretization Qiang Fu Ashia Wilson 40 4 0 26 Dec 2023
Nonlinear Hamiltonian Monte Carlo & its Particle Approximation Nawaf Bou-Rabee Katharina Schuh 26 7 0 22 Aug 2023
Interacting Particle Langevin Algorithm for Maximum Marginal Likelihood Estimation Ö. Deniz Akyildiz F. R. Crucinio Mark Girolami Tim Johnston Sotirios Sabanis 32 11 0 23 Mar 2023
Doubly Regularized Entropic Wasserstein Barycenters Lénaïc Chizat 18 11 0 21 Mar 2023
Primal and Dual Analysis of Entropic Fictitious Play for Finite-sum Problems Atsushi Nitanda Kazusato Oko Denny Wu Nobuhito Takenouchi Taiji Suzuki 32 3 0 06 Mar 2023
Uniform-in-time propagation of chaos for mean field Langevin dynamics Fan Chen Zhenjie Ren Song-bo Wang 45 30 0 06 Dec 2022
A Functional-Space Mean-Field Theory of Partially-Trained Three-Layer Neural Networks Zhengdao Chen Eric Vanden-Eijnden Joan Bruna MLT 25 5 0 28 Oct 2022
Trajectory Inference via Mean-field Langevin in Path Space Lénaïc Chizat Stephen X. Zhang Matthieu Heitz Geoffrey Schiebinger 34 21 0 14 May 2022
On Feature Learning in Neural Networks with Global Convergence Guarantees Zhengdao Chen Eric Vanden-Eijnden Joan Bruna MLT 36 13 0 22 Apr 2022
Convex Analysis of the Mean Field Langevin Dynamics Atsushi Nitanda Denny Wu Taiji Suzuki MLT 68 64 0 25 Jan 2022
Convergence of Policy Gradient for Entropy Regularized MDPs with Neural Network Approximation in the Mean-Field Regime B. Kerimkulov J. Leahy David Siska Lukasz Szpruch 30 11 0 18 Jan 2022
Mean-field Analysis of Piecewise Linear Solutions for Wide ReLU Networks A. Shevchenko Vyacheslav Kungurtsev Marco Mondelli MLT 38 13 0 03 Nov 2021
Towards a Mathematical Understanding of Neural Network-Based Machine Learning: what we know and what we don't E. Weinan Chao Ma Stephan Wojtowytsch Lei Wu AI4CE 22 133 0 22 Sep 2020
Gradient Flows for Regularized Stochastic Control Problems David Siska Lukasz Szpruch 13 20 0 10 Jun 2020
Can Shallow Neural Networks Beat the Curse of Dimensionality? A mean field training perspective Stephan Wojtowytsch E. Weinan MLT 26 48 0 21 May 2020
A Mean-field Analysis of Deep ResNet and Beyond: Towards Provable Optimization Via Overparameterization From Depth Yiping Lu Chao Ma Yulong Lu Jianfeng Lu Lexing Ying MLT 39 78 0 11 Mar 2020
Unbiased deep solvers for linear parametric PDEs Marc Sabate Vidales David Siska Lukasz Szpruch OOD 26 7 0 11 Oct 2018