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  3. 1805.00915
  4. Cited By
Trainability and Accuracy of Neural Networks: An Interacting Particle
  System Approach

Trainability and Accuracy of Neural Networks: An Interacting Particle System Approach

2 May 2018
Grant M. Rotskoff
Eric Vanden-Eijnden
ArXivPDFHTML

Papers citing "Trainability and Accuracy of Neural Networks: An Interacting Particle System Approach"

20 / 20 papers shown
Title
Function-Space Learning Rates
Function-Space Learning Rates
Edward Milsom
Ben Anson
Laurence Aitchison
83
1
0
24 Feb 2025
Deep Linear Network Training Dynamics from Random Initialization: Data, Width, Depth, and Hyperparameter Transfer
Deep Linear Network Training Dynamics from Random Initialization: Data, Width, Depth, and Hyperparameter Transfer
Blake Bordelon
Cengiz Pehlevan
AI4CE
111
1
0
04 Feb 2025
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
84
1
0
10 Jan 2025
Emergence of meta-stable clustering in mean-field transformer models
Emergence of meta-stable clustering in mean-field transformer models
Giuseppe Bruno
Federico Pasqualotto
Andrea Agazzi
50
8
0
30 Oct 2024
Optimal Protocols for Continual Learning via Statistical Physics and Control Theory
Optimal Protocols for Continual Learning via Statistical Physics and Control Theory
Francesco Mori
Stefano Sarao Mannelli
Francesca Mignacco
91
3
0
26 Sep 2024
From Lazy to Rich: Exact Learning Dynamics in Deep Linear Networks
From Lazy to Rich: Exact Learning Dynamics in Deep Linear Networks
Clémentine Dominé
Nicolas Anguita
A. Proca
Lukas Braun
D. Kunin
P. Mediano
Andrew M. Saxe
64
3
0
22 Sep 2024
Symmetries in Overparametrized Neural Networks: A Mean-Field View
Symmetries in Overparametrized Neural Networks: A Mean-Field View
Javier Maass
Joaquin Fontbona
MLT
FedML
57
2
0
30 May 2024
Repetita Iuvant: Data Repetition Allows SGD to Learn High-Dimensional Multi-Index Functions
Repetita Iuvant: Data Repetition Allows SGD to Learn High-Dimensional Multi-Index Functions
Luca Arnaboldi
Yatin Dandi
Florent Krzakala
Luca Pesce
Ludovic Stephan
86
13
0
24 May 2024
Stochastic Modified Equations and Dynamics of Stochastic Gradient
  Algorithms I: Mathematical Foundations
Stochastic Modified Equations and Dynamics of Stochastic Gradient Algorithms I: Mathematical Foundations
Qianxiao Li
Cheng Tai
E. Weinan
85
149
0
05 Nov 2018
On the Global Convergence of Gradient Descent for Over-parameterized
  Models using Optimal Transport
On the Global Convergence of Gradient Descent for Over-parameterized Models using Optimal Transport
Lénaïc Chizat
Francis R. Bach
OT
150
731
0
24 May 2018
A Mean Field View of the Landscape of Two-Layers Neural Networks
A Mean Field View of the Landscape of Two-Layers Neural Networks
Song Mei
Andrea Montanari
Phan-Minh Nguyen
MLT
63
855
0
18 Apr 2018
Comparing Dynamics: Deep Neural Networks versus Glassy Systems
Comparing Dynamics: Deep Neural Networks versus Glassy Systems
Marco Baity-Jesi
Levent Sagun
Mario Geiger
S. Spigler
Gerard Ben Arous
C. Cammarota
Yann LeCun
Matthieu Wyart
Giulio Biroli
AI4CE
85
113
0
19 Mar 2018
Solving for high dimensional committor functions using artificial neural
  networks
Solving for high dimensional committor functions using artificial neural networks
Y. Khoo
Jianfeng Lu
Lexing Ying
46
137
0
28 Feb 2018
A unified deep artificial neural network approach to partial
  differential equations in complex geometries
A unified deep artificial neural network approach to partial differential equations in complex geometries
Jens Berg
K. Nystrom
AI4CE
48
581
0
17 Nov 2017
Machine learning approximation algorithms for high-dimensional fully
  nonlinear partial differential equations and second-order backward stochastic
  differential equations
Machine learning approximation algorithms for high-dimensional fully nonlinear partial differential equations and second-order backward stochastic differential equations
C. Beck
Weinan E
Arnulf Jentzen
38
327
0
18 Sep 2017
Deep learning-based numerical methods for high-dimensional parabolic
  partial differential equations and backward stochastic differential equations
Deep learning-based numerical methods for high-dimensional parabolic partial differential equations and backward stochastic differential equations
Weinan E
Jiequn Han
Arnulf Jentzen
104
790
0
15 Jun 2017
Stochastic modified equations and adaptive stochastic gradient
  algorithms
Stochastic modified equations and adaptive stochastic gradient algorithms
Qianxiao Li
Cheng Tai
E. Weinan
54
282
0
19 Nov 2015
Breaking the Curse of Dimensionality with Convex Neural Networks
Breaking the Curse of Dimensionality with Convex Neural Networks
Francis R. Bach
82
701
0
30 Dec 2014
Explorations on high dimensional landscapes
Explorations on high dimensional landscapes
Levent Sagun
V. U. Güney
Gerard Ben Arous
Yann LeCun
36
65
0
20 Dec 2014
The Loss Surfaces of Multilayer Networks
The Loss Surfaces of Multilayer Networks
A. Choromańska
Mikael Henaff
Michaël Mathieu
Gerard Ben Arous
Yann LeCun
ODL
223
1,189
0
30 Nov 2014
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