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Mean-Field Neural ODEs via Relaxed Optimal Control

11 December 2019

Papers citing "Mean-Field Neural ODEs via Relaxed Optimal Control"

23 / 23 papers shown

Title
Propagation of Chaos for Mean-Field Langevin Dynamics and its Application to Model Ensemble Atsushi Nitanda Anzelle Lee Damian Tan Xing Kai Mizuki Sakaguchi Taiji Suzuki AI4CE 110 1 0 09 Feb 2025
Convergence analysis of controlled particle systems arising in deep learning: from finite to infinite sample size Huafu Liao Alpár R. Mészáros Chenchen Mou Chao Zhou 97 2 0 08 Apr 2024
Generalization of Scaled Deep ResNets in the Mean-Field Regime Yihang Chen Fanghui Liu Yiping Lu Grigorios G. Chrysos Volkan Cevher 71 2 0 14 Mar 2024
A convergence result of a continuous model of deep learning via Łojasiewicz--Simon inequality Noboru Isobe 64 2 0 26 Nov 2023
Implicit Compressibility of Overparametrized Neural Networks Trained with Heavy-Tailed SGD Yijun Wan Melih Barsbey Milad Sefidgaran Umut Simsekli 59 1 0 13 Jun 2023
Neural ODE Control for Trajectory Approximation of Continuity Equation Karthik Elamvazhuthi Bahman Gharesifard Andrea L. Bertozzi Stanley Osher 59 10 0 18 May 2022
On Feature Learning in Neural Networks with Global Convergence Guarantees Zhengdao Chen Eric Vanden-Eijnden Joan Bruna MLT 78 13 0 22 Apr 2022
Convex Analysis of the Mean Field Langevin Dynamics Atsushi Nitanda Denny Wu Taiji Suzuki MLT 154 66 0 25 Jan 2022
Convergence of Policy Gradient for Entropy Regularized MDPs with Neural Network Approximation in the Mean-Field Regime B. Kerimkulov J. Leahy David Siska Lukasz Szpruch 94 14 0 18 Jan 2022
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 92 11 0 06 Oct 2021
Stochastic gradient descent with noise of machine learning type. Part II: Continuous time analysis Stephan Wojtowytsch 88 34 0 04 Jun 2021
Overparameterization of deep ResNet: zero loss and mean-field analysis Zhiyan Ding Shi Chen Qin Li S. Wright ODL 95 25 0 30 May 2021
Particle Dual Averaging: Optimization of Mean Field Neural Networks with Global Convergence Rate Analysis Atsushi Nitanda Denny Wu Taiji Suzuki 86 29 0 31 Dec 2020
Large-time asymptotics in deep learning Carlos Esteve Borjan Geshkovski Dario Pighin Enrique Zuazua 371 34 0 06 Aug 2020
Ergodicity of the underdamped mean-field Langevin dynamics A. Kazeykina Zhenjie Ren Xiaolu Tan Junjian Yang 68 16 0 29 Jul 2020
Quantitative Propagation of Chaos for SGD in Wide Neural Networks Valentin De Bortoli Alain Durmus Xavier Fontaine Umut Simsekli 85 25 0 13 Jul 2020
Robust pricing and hedging via neural SDEs Patryk Gierjatowicz Marc Sabate Vidales David Siska Lukasz Szpruch Zan Zuric 84 34 0 08 Jul 2020
STEER: Simple Temporal Regularization For Neural ODEs Arna Ghosh Harkirat Singh Behl Emilien Dupont Philip Torr Vinay P. Namboodiri BDL AI4TS 104 75 0 18 Jun 2020
Multi-index Antithetic Stochastic Gradient Algorithm Mateusz B. Majka Marc Sabate Vidales Łukasz Szpruch 85 0 0 10 Jun 2020
Gradient Flows for Regularized Stochastic Control Problems David Siska Lukasz Szpruch 136 21 0 10 Jun 2020
Game on Random Environment, Mean-field Langevin System and Neural Networks Giovanni Conforti A. Kazeykina Zhenjie Ren 25 14 0 06 Apr 2020
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 160 79 0 11 Mar 2020
Machine Learning from a Continuous Viewpoint E. Weinan Chao Ma Lei Wu 154 104 0 30 Dec 2019