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Neural networks with a large number of parameters admit a mean-field description, which has recently served as a theoretical explanation for the favorable training properties of "overparameterized" models.
Approximation by superpositions of a sigmoidal function
G Cybenko · 1989
Earlier work this paper cites.
Universal Approximation Using Radial-Basis-Function Networks
J Park and I W Sandberg · 1991
Earlier work this paper cites.
Universal approximation bounds for superpositions of a sigmoidal function
A R Barron · 1993
Earlier work this paper cites.
Removing the genetics from the standard genetic algorithm
Shumeet Baluja and Rich Caruana · 1995
Earlier work this paper cites.
The variational formulation of the fokker–planck equation
Richard Jordan, David Kinderlehrer, and Felix Otto · 1998
Earlier work this paper cites.
Estimation of distribution algorithms: A new tool for evolutionary computation
Pedro Larrañaga and Jose A Lozano · 2001
Earlier work this paper cites.
Measure-valued Markov processes
Donald Dawson · 2006
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The cma evolution strategy: a comparing review
Nikolaus Hansen · 2006
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Particle swarm optimization
James Kennedy · 2011
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Imagenet classification with deep convolutional neural networks
Alex Krizhevsky, Ilya Sutskever, and Geoffrey E Hinton · 2012
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Derivative-free optimization: a review of algorithms and comparison of software implementations
Luis Miguel Rios and Nikolaos V Sahinidis · 2013
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Dropout: a simple way to prevent neural networks from overfitting
Nitish Srivastava, Geoffrey Hinton, Alex Krizhevsky, Ilya Sutskever, and Ruslan Salakhutdinov · 2014
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Coulomb Gases and Ginzburg–Landau Vortices
Sylvia Serfaty · 2015
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A new optimal transport distance on the space of finite radon measures
Stanislav Kondratyev, Léonard Monsaingeon, and Dmitry Vorotnikov · 2016
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Felipe Petroski Such, Vashisht Madhavan, Edoardo Conti, Joel Lehman, Kenneth O Stanley, and Jeff Clune · 2017
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A Note on Lazy Training in Supervised Differentiable Programming
Lénaïc Chizat and Francis Bach · 2018
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On the global convergence of gradient descent for over-parameterized models using optimal transport
Lénaïc Chizat and Francis Bach · 2018
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Unbalanced optimal transport: Dynamic and kantorovich formulations
Lénaïc Chizat, Gabriel Peyré, Bernhard Schmitzer, and François-Xavier Vialard · 2018
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Optimal Entropy-Transport problems and a new Hellinger-Kantorovich distance between positive measures
Matthias Liero, Alexander Mielke, and Giuseppe Savaré · 2018
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Max Jaderberg, Valentin Dalibard, Simon Osindero, Wojciech M Czarnecki, Jeff Donahue, Ali Razavi, Oriol Vinyals, Tim Green, Iain Dunning, Karen Simonyan, et al · 2017
Cited alongside, same era.
Information-geometric optimization algorithms: A unifying picture via invariance principles
Yann Ollivier, Ludovic Arnold, Anne Auger, and Nikolaus Hansen · 2017
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Euclidean, metric, and Wasserstein gradient flows: an overview
Filippo Santambrogio · 2017
Cited alongside, same era.
Evolution strategies as a scalable alternative to reinforcement learning
Tim Salimans, Jonathan Ho, Xi Chen, Szymon Sidor, and Ilya Sutskever · 2017
Cited alongside, same era.
A mean field view of the landscape of two-layer neural networks
Song Mei, Andrea Montanari, and Phan-Minh Nguyen · 2018
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Grant M. Rotskoff and Eric Vanden-Eijnden · 2018
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Mean Field Analysis of Neural Networks
Justin Sirignano and Konstantinos Spiliopoulos · 2018
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On the Margin Theory of Feedforward Neural Networks
Colin Wei, Jason D. Lee, Qiang Liu, and Tengyu Ma · 2018
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