A Rigorous Framework for the Mean Field Limit of Multilayer Neural Networks

30 January 2020

Papers citing "A Rigorous Framework for the Mean Field Limit of Multilayer Neural Networks"

17 / 17 papers shown

Title
Information-theoretic reduction of deep neural networks to linear models in the overparametrized proportional regime Francesco Camilli D. Tieplova Eleonora Bergamin Jean Barbier 100 0 0 06 May 2025
Statistically guided deep learning Michael Kohler A. Krzyżak ODL BDL 66 0 0 11 Apr 2025
Understanding the training of infinitely deep and wide ResNets with Conditional Optimal Transport Raphael Barboni Gabriel Peyré Franccois-Xavier Vialard 32 3 0 19 Mar 2024
How Over-Parameterization Slows Down Gradient Descent in Matrix Sensing: The Curses of Symmetry and Initialization Nuoya Xiong Lijun Ding Simon S. Du 26 11 0 03 Oct 2023
Fundamental Limits of Deep Learning-Based Binary Classifiers Trained with Hinge Loss T. Getu Georges Kaddoum M. Bennis 32 1 0 13 Sep 2023
Global Optimality of Elman-type RNN in the Mean-Field Regime Andrea Agazzi Jian-Xiong Lu Sayan Mukherjee MLT 26 1 0 12 Mar 2023
Over-Parameterization Exponentially Slows Down Gradient Descent for Learning a Single Neuron Weihang Xu S. Du 29 16 0 20 Feb 2023
Uniform-in-time propagation of chaos for mean field Langevin dynamics Fan Chen Zhenjie Ren Song-bo Wang 43 30 0 06 Dec 2022
Global Convergence of SGD On Two Layer Neural Nets Pulkit Gopalani Anirbit Mukherjee 18 5 0 20 Oct 2022
Analysis of the rate of convergence of an over-parametrized deep neural network estimate learned by gradient descent Michael Kohler A. Krzyżak 32 10 0 04 Oct 2022
On the universal consistency of an over-parametrized deep neural network estimate learned by gradient descent Selina Drews Michael Kohler 22 13 0 30 Aug 2022
Self-Consistent Dynamical Field Theory of Kernel Evolution in Wide Neural Networks Blake Bordelon C. Pehlevan MLT 24 79 0 19 May 2022
Mean-field Analysis of Piecewise Linear Solutions for Wide ReLU Networks A. Shevchenko Vyacheslav Kungurtsev Marco Mondelli MLT 33 13 0 03 Nov 2021
On the Global Convergence of Gradient Descent for multi-layer ResNets in the mean-field regime Zhiyan Ding Shi Chen Qin Li S. Wright MLT AI4CE 30 11 0 06 Oct 2021
Global Convergence of Three-layer Neural Networks in the Mean Field Regime H. Pham Phan-Minh Nguyen MLT AI4CE 41 19 0 11 May 2021
Global optimality of softmax policy gradient with single hidden layer neural networks in the mean-field regime Andrea Agazzi Jianfeng Lu 13 15 0 22 Oct 2020
Representation formulas and pointwise properties for Barron functions E. Weinan Stephan Wojtowytsch 20 79 0 10 Jun 2020