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Convex Analysis of the Mean Field Langevin Dynamics

25 January 2022

Papers citing "Convex Analysis of the Mean Field Langevin Dynamics"

41 / 41 papers shown

Title
Non-convex entropic mean-field optimization via Best Response flow Razvan-Andrei Lascu Mateusz B. Majka 34 0 0 28 May 2025
Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games Yulong Lu Pierre Monmarché MLT 53 1 0 12 May 2025
Mirror Mean-Field Langevin Dynamics Anming Gu Juno Kim 70 1 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 112 0 0 25 Apr 2025
Beyond Propagation of Chaos: A Stochastic Algorithm for Mean Field Optimization Chandan Tankala Dheeraj M. Nagaraj Anant Raj 75 1 0 17 Mar 2025
Global Convergence and Rich Feature Learning in $L$ -Layer Infinite-Width Neural Networks under $μ$ P Parametrization Zixiang Chen Greg Yang Qingyue Zhao Q. Gu MLT 86 0 0 12 Mar 2025
Propagation of Chaos for Mean-Field Langevin Dynamics and its Application to Model Ensemble Atsushi Nitanda Anzelle Lee Damian Tan Xing Kai Mizuki Sakaguchi Taiji Suzuki AI4CE 110 1 0 09 Feb 2025
Convergence Analysis of the Wasserstein Proximal Algorithm beyond Geodesic Convexity Shuailong Zhu Xiaohui Chen 108 0 0 25 Jan 2025
Linear convergence of proximal descent schemes on the Wasserstein space Razvan-Andrei Lascu Mateusz B. Majka David Siska Łukasz Szpruch 155 1 0 22 Nov 2024
Robust Feature Learning for Multi-Index Models in High Dimensions Alireza Mousavi-Hosseini Adel Javanmard Murat A. Erdogdu OOD AAML 170 1 0 21 Oct 2024
Solving Fredholm Integral Equations of the Second Kind via Wasserstein Gradient Flows F. R. Crucinio A. M. Johansen 46 1 0 29 Sep 2024
Learning Multi-Index Models with Neural Networks via Mean-Field Langevin Dynamics Alireza Mousavi-Hosseini Denny Wu Murat A. Erdogdu MLT AI4CE 99 8 0 14 Aug 2024
Partially Observed Trajectory Inference using Optimal Transport and a Dynamics Prior Anming Gu Edward Chien Kristjan Greenewald 120 8 0 11 Jun 2024
Symmetries in Overparametrized Neural Networks: A Mean-Field View Javier Maass Joaquin Fontbona MLT FedML 186 2 0 30 May 2024
Improved Particle Approximation Error for Mean Field Neural Networks Atsushi Nitanda 52 8 0 24 May 2024
Mean-field Analysis on Two-layer Neural Networks from a Kernel Perspective Shokichi Takakura Taiji Suzuki MLT 68 5 0 22 Mar 2024
A unified Fourier slice method to derive ridgelet transform for a variety of depth-2 neural networks Sho Sonoda Isao Ishikawa Masahiro Ikeda 116 4 0 25 Feb 2024
Mirror Descent-Ascent for mean-field min-max problems Razvan-Andrei Lascu Mateusz B. Majka Lukasz Szpruch 87 1 0 12 Feb 2024
Sampling from the Mean-Field Stationary Distribution Yunbum Kook Matthew Shunshi Zhang Sinho Chewi Murat A. Erdogdu Mufan Li 123 7 0 12 Feb 2024
Transformers Learn Nonlinear Features In Context: Nonconvex Mean-field Dynamics on the Attention Landscape Juno Kim Taiji Suzuki 128 24 0 02 Feb 2024
Mean-field underdamped Langevin dynamics and its spacetime discretization Qiang Fu Ashia Wilson 84 4 0 26 Dec 2023
Symmetric Mean-field Langevin Dynamics for Distributional Minimax Problems Juno Kim Kakei Yamamoto Kazusato Oko Zhuoran Yang Taiji Suzuki 78 10 0 02 Dec 2023
Minimizing Convex Functionals over Space of Probability Measures via KL Divergence Gradient Flow Rentian Yao Linjun Huang Yun Yang 92 4 0 01 Nov 2023
Gradient-Based Feature Learning under Structured Data Alireza Mousavi-Hosseini Denny Wu Taiji Suzuki Murat A. Erdogdu MLT 107 20 0 07 Sep 2023
Convergence of mean-field Langevin dynamics: Time and space discretization, stochastic gradient, and variance reduction Taiji Suzuki Denny Wu Atsushi Nitanda 64 17 0 12 Jun 2023
Interacting Particle Langevin Algorithm for Maximum Marginal Likelihood Estimation Ö. Deniz Akyildiz F. R. Crucinio Mark Girolami Tim Johnston Sotirios Sabanis 138 13 0 23 Mar 2023
Doubly Regularized Entropic Wasserstein Barycenters Lénaïc Chizat 77 14 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 70 4 0 06 Mar 2023
Mean Field Optimization Problem Regularized by Fisher Information J. Claisse Giovanni Conforti Zhenjie Ren Song-bo Wang 66 5 0 12 Feb 2023
Two-Scale Gradient Descent Ascent Dynamics Finds Mixed Nash Equilibria of Continuous Games: A Mean-Field Perspective Yulong Lu MLT AI4CE 59 23 0 17 Dec 2022
Learning threshold neurons via the "edge of stability" Kwangjun Ahn Sébastien Bubeck Sinho Chewi Y. Lee Felipe Suarez Yi Zhang MLT 108 41 0 14 Dec 2022
Uniform-in-time propagation of chaos for mean field Langevin dynamics Fan Chen Zhenjie Ren Song-bo Wang 106 31 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 77 5 0 28 Oct 2022
Mean-field analysis for heavy ball methods: Dropout-stability, connectivity, and global convergence Diyuan Wu Vyacheslav Kungurtsev Marco Mondelli 60 3 0 13 Oct 2022
Neural Networks Efficiently Learn Low-Dimensional Representations with SGD Alireza Mousavi-Hosseini Sejun Park M. Girotti Ioannis Mitliagkas Murat A. Erdogdu MLT 379 50 0 29 Sep 2022
Solving Fredholm Integral Equations of the First Kind via Wasserstein Gradient Flows F. R. Crucinio Valentin De Bortoli Arnaud Doucet A. M. Johansen 61 3 0 16 Sep 2022
Mean-Field Analysis of Two-Layer Neural Networks: Global Optimality with Linear Convergence Rates Jingwei Zhang Xunpeng Huang Jincheng Yu MLT 54 1 0 19 May 2022
Trajectory Inference via Mean-field Langevin in Path Space Lénaïc Chizat Stephen X. Zhang Matthieu Heitz Geoffrey Schiebinger 81 26 0 14 May 2022
High-dimensional Asymptotics of Feature Learning: How One Gradient Step Improves the Representation Jimmy Ba Murat A. Erdogdu Taiji Suzuki Zhichao Wang Denny Wu Greg Yang MLT 99 129 0 03 May 2022
Mean-field Analysis of Piecewise Linear Solutions for Wide ReLU Networks Aleksandr Shevchenko Vyacheslav Kungurtsev Marco Mondelli MLT 100 13 0 03 Nov 2021
Function approximation by neural nets in the mean-field regime: Entropic regularization and controlled McKean-Vlasov dynamics Belinda Tzen Maxim Raginsky 66 17 0 05 Feb 2020