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A mean-field limit for certain deep neural networks

A mean-field limit for certain deep neural networks

1 June 2019
Dyego Araújo
R. Oliveira
Daniel Yukimura
    AI4CE
ArXivPDFHTML

Papers citing "A mean-field limit for certain deep neural networks"

22 / 22 papers shown
Title
Mean-Field Analysis for Learning Subspace-Sparse Polynomials with Gaussian Input
Mean-Field Analysis for Learning Subspace-Sparse Polynomials with Gaussian Input
Ziang Chen
Rong Ge
MLT
61
1
0
10 Jan 2025
Dynamics of Finite Width Kernel and Prediction Fluctuations in Mean
  Field Neural Networks
Dynamics of Finite Width Kernel and Prediction Fluctuations in Mean Field Neural Networks
Blake Bordelon
Cengiz Pehlevan
MLT
38
29
0
06 Apr 2023
M22: A Communication-Efficient Algorithm for Federated Learning Inspired
  by Rate-Distortion
M22: A Communication-Efficient Algorithm for Federated Learning Inspired by Rate-Distortion
Yangyi Liu
Stefano Rini
Sadaf Salehkalaibar
Jun Chen
FedML
21
4
0
23 Jan 2023
Nonlinear controllability and function representation by neural
  stochastic differential equations
Nonlinear controllability and function representation by neural stochastic differential equations
Tanya Veeravalli
Maxim Raginsky
DiffM
19
2
0
01 Dec 2022
A Functional-Space Mean-Field Theory of Partially-Trained Three-Layer
  Neural Networks
A Functional-Space Mean-Field Theory of Partially-Trained Three-Layer Neural Networks
Zhengdao Chen
Eric Vanden-Eijnden
Joan Bruna
MLT
27
5
0
28 Oct 2022
Proximal Mean Field Learning in Shallow Neural Networks
Proximal Mean Field Learning in Shallow Neural Networks
Alexis M. H. Teter
Iman Nodozi
A. Halder
FedML
43
1
0
25 Oct 2022
High-dimensional limit theorems for SGD: Effective dynamics and critical
  scaling
High-dimensional limit theorems for SGD: Effective dynamics and critical scaling
Gerard Ben Arous
Reza Gheissari
Aukosh Jagannath
62
58
0
08 Jun 2022
Self-Consistent Dynamical Field Theory of Kernel Evolution in Wide
  Neural Networks
Self-Consistent Dynamical Field Theory of Kernel Evolution in Wide Neural Networks
Blake Bordelon
Cengiz Pehlevan
MLT
40
78
0
19 May 2022
On Feature Learning in Neural Networks with Global Convergence
  Guarantees
On Feature Learning in Neural Networks with Global Convergence Guarantees
Zhengdao Chen
Eric Vanden-Eijnden
Joan Bruna
MLT
36
13
0
22 Apr 2022
Mean-field Analysis of Piecewise Linear Solutions for Wide ReLU Networks
Mean-field Analysis of Piecewise Linear Solutions for Wide ReLU Networks
A. Shevchenko
Vyacheslav Kungurtsev
Marco Mondelli
MLT
41
13
0
03 Nov 2021
On the Global Convergence of Gradient Descent for multi-layer ResNets in
  the mean-field regime
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
41
11
0
06 Oct 2021
Global Convergence of Three-layer Neural Networks in the Mean Field
  Regime
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
A Local Convergence Theory for Mildly Over-Parameterized Two-Layer
  Neural Network
A Local Convergence Theory for Mildly Over-Parameterized Two-Layer Neural Network
Mo Zhou
Rong Ge
Chi Jin
74
45
0
04 Feb 2021
An analytic theory of shallow networks dynamics for hinge loss
  classification
An analytic theory of shallow networks dynamics for hinge loss classification
Franco Pellegrini
Giulio Biroli
35
19
0
19 Jun 2020
Can Temporal-Difference and Q-Learning Learn Representation? A
  Mean-Field Theory
Can Temporal-Difference and Q-Learning Learn Representation? A Mean-Field Theory
Yufeng Zhang
Qi Cai
Zhuoran Yang
Yongxin Chen
Zhaoran Wang
OOD
MLT
105
11
0
08 Jun 2020
Can Shallow Neural Networks Beat the Curse of Dimensionality? A mean
  field training perspective
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
Predicting the outputs of finite deep neural networks trained with noisy
  gradients
Predicting the outputs of finite deep neural networks trained with noisy gradients
Gadi Naveh
Oded Ben-David
H. Sompolinsky
Zohar Ringel
19
20
0
02 Apr 2020
A Mean-field Analysis of Deep ResNet and Beyond: Towards Provable
  Optimization Via Overparameterization From Depth
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
Mean-Field and Kinetic Descriptions of Neural Differential Equations
Mean-Field and Kinetic Descriptions of Neural Differential Equations
Michael Herty
T. Trimborn
G. Visconti
36
6
0
07 Jan 2020
Machine Learning from a Continuous Viewpoint
Machine Learning from a Continuous Viewpoint
E. Weinan
Chao Ma
Lei Wu
27
102
0
30 Dec 2019
Optimization for deep learning: theory and algorithms
Optimization for deep learning: theory and algorithms
Ruoyu Sun
ODL
22
168
0
19 Dec 2019
The generalization error of random features regression: Precise
  asymptotics and double descent curve
The generalization error of random features regression: Precise asymptotics and double descent curve
Song Mei
Andrea Montanari
60
626
0
14 Aug 2019
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