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Convergence analysis of controlled particle systems arising in deep learning: from finite to infinite sample size

8 April 2024

Papers citing "Convergence analysis of controlled particle systems arising in deep learning: from finite to infinite sample size"

23 / 23 papers shown

Title
Deep Learning for Mean Field Optimal Transport Sebastian Baudelet Brieuc Frénais Mathieu Laurière Amal Machtalay Yuchen Zhu OT 55 2 0 28 Feb 2023
Uniform-in-time propagation of chaos for mean field Langevin dynamics Fan Chen Zhenjie Ren Song-bo Wang 89 31 0 06 Dec 2022
Deep Learning for Mean Field Games and Mean Field Control with Applications to Finance René Carmona Mathieu Laurière AI4CE 66 28 0 09 Jul 2021
Scaling Properties of Deep Residual Networks A. Cohen R. Cont Alain Rossier Renyuan Xu 51 19 0 25 May 2021
Optimal Approximation Rate of ReLU Networks in terms of Width and Depth Zuowei Shen Haizhao Yang Shijun Zhang 171 118 0 28 Feb 2021
Neural Network Approximation: Three Hidden Layers Are Enough Zuowei Shen Haizhao Yang Shijun Zhang 82 120 0 25 Oct 2020
Deep Learning via Dynamical Systems: An Approximation Perspective Qianxiao Li Ting Lin Zuowei Shen AI4TS AI4CE 78 108 0 22 Dec 2019
Mean-Field Neural ODEs via Relaxed Optimal Control Jean-François Jabir D. vSivska Lukasz Szpruch MLT 96 38 0 11 Dec 2019
A Machine Learning Framework for Solving High-Dimensional Mean Field Game and Mean Field Control Problems Lars Ruthotto Stanley Osher Wuchen Li L. Nurbekyan Samy Wu Fung AI4CE 122 220 0 04 Dec 2019
On the Convergence of Model Free Learning in Mean Field Games Romuald Elie Julien Pérolat Mathieu Laurière Matthieu Geist Olivier Pietquin 80 92 0 04 Jul 2019
Deep neural networks algorithms for stochastic control problems on finite horizon: numerical applications Achref Bachouch Côme Huré N. Langrené H. Pham 89 87 0 13 Dec 2018
Deep neural networks algorithms for stochastic control problems on finite horizon: convergence analysis Côme Huré H. Pham Achref Bachouch N. Langrené 55 67 0 11 Dec 2018
A Priori Estimates of the Population Risk for Two-layer Neural Networks Weinan E Chao Ma Lei Wu 65 132 0 15 Oct 2018
A Mean-Field Optimal Control Formulation of Deep Learning Weinan E Jiequn Han Qianxiao Li OOD 108 187 0 03 Jul 2018
Neural Ordinary Differential Equations T. Chen Yulia Rubanova J. Bettencourt David Duvenaud AI4CE 443 5,168 0 19 Jun 2018
On the Global Convergence of Gradient Descent for Over-parameterized Models using Optimal Transport Lénaïc Chizat Francis R. Bach OT 214 737 0 24 May 2018
A Mean Field View of the Landscape of Two-Layers Neural Networks Song Mei Andrea Montanari Phan-Minh Nguyen MLT 105 862 0 18 Apr 2018
Maximum Principle Based Algorithms for Deep Learning Qianxiao Li Long Chen Cheng Tai E. Weinan 103 224 0 26 Oct 2017
Deep learning-based numerical methods for high-dimensional parabolic partial differential equations and backward stochastic differential equations Weinan E Jiequn Han Arnulf Jentzen 125 797 0 15 Jun 2017
Stable Architectures for Deep Neural Networks E. Haber Lars Ruthotto 152 733 0 09 May 2017
EM Algorithm and Stochastic Control in Economics S. Kou X. Peng Xingbo Xu 42 5 0 06 Nov 2016
Deep Learning Approximation for Stochastic Control Problems Jiequn Han E. Weinan BDL 61 197 0 02 Nov 2016
Batch Normalization: Accelerating Deep Network Training by Reducing Internal Covariate Shift Sergey Ioffe Christian Szegedy OOD 467 43,347 0 11 Feb 2015