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1805.00915
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Trainability and Accuracy of Neural Networks: An Interacting Particle System Approach
2 May 2018
Grant M. Rotskoff
Eric Vanden-Eijnden
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Papers citing
"Trainability and Accuracy of Neural Networks: An Interacting Particle System Approach"
20 / 20 papers shown
Title
Function-Space Learning Rates
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Ben Anson
Laurence Aitchison
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1
0
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Deep Linear Network Training Dynamics from Random Initialization: Data, Width, Depth, and Hyperparameter Transfer
Blake Bordelon
Cengiz Pehlevan
AI4CE
124
1
0
04 Feb 2025
Mean-Field Analysis for Learning Subspace-Sparse Polynomials with Gaussian Input
Ziang Chen
Rong Ge
MLT
99
1
0
10 Jan 2025
Emergence of meta-stable clustering in mean-field transformer models
Giuseppe Bruno
Federico Pasqualotto
Andrea Agazzi
58
8
0
30 Oct 2024
Optimal Protocols for Continual Learning via Statistical Physics and Control Theory
Francesco Mori
Stefano Sarao Mannelli
Francesca Mignacco
101
3
0
26 Sep 2024
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
72
3
0
22 Sep 2024
Symmetries in Overparametrized Neural Networks: A Mean-Field View
Javier Maass
Joaquin Fontbona
MLT
FedML
66
2
0
30 May 2024
Repetita Iuvant: Data Repetition Allows SGD to Learn High-Dimensional Multi-Index Functions
Luca Arnaboldi
Yatin Dandi
Florent Krzakala
Luca Pesce
Ludovic Stephan
86
14
0
24 May 2024
Stochastic Modified Equations and Dynamics of Stochastic Gradient Algorithms I: Mathematical Foundations
Qianxiao Li
Cheng Tai
E. Weinan
90
149
0
05 Nov 2018
On the Global Convergence of Gradient Descent for Over-parameterized Models using Optimal Transport
Lénaïc Chizat
Francis R. Bach
OT
157
731
0
24 May 2018
A Mean Field View of the Landscape of Two-Layers Neural Networks
Song Mei
Andrea Montanari
Phan-Minh Nguyen
MLT
76
855
0
18 Apr 2018
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
87
113
0
19 Mar 2018
Solving for high dimensional committor functions using artificial neural networks
Y. Khoo
Jianfeng Lu
Lexing Ying
51
137
0
28 Feb 2018
A unified deep artificial neural network approach to partial differential equations in complex geometries
Jens Berg
K. Nystrom
AI4CE
50
583
0
17 Nov 2017
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
43
329
0
18 Sep 2017
Deep learning-based numerical methods for high-dimensional parabolic partial differential equations and backward stochastic differential equations
Weinan E
Jiequn Han
Arnulf Jentzen
107
790
0
15 Jun 2017
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
Francis R. Bach
118
703
0
30 Dec 2014
Explorations on high dimensional landscapes
Levent Sagun
V. U. Güney
Gerard Ben Arous
Yann LeCun
47
65
0
20 Dec 2014
The Loss Surfaces of Multilayer Networks
A. Choromańska
Mikael Henaff
Michaël Mathieu
Gerard Ben Arous
Yann LeCun
ODL
230
1,191
0
30 Nov 2014
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