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DeepParticle: learning invariant measure by a deep neural network minimizing Wasserstein distance on data generated from an interacting particle method

2 November 2021

Papers citing "DeepParticle: learning invariant measure by a deep neural network minimizing Wasserstein distance on data generated from an interacting particle method"

26 / 26 papers shown

Title
Least-Squares ReLU Neural Network (LSNN) Method For Linear Advection-Reaction Equation Z. Cai Jingshuang Chen Min Liu PINN 66 47 0 25 May 2021
Fourier Neural Operator for Parametric Partial Differential Equations Zong-Yi Li Nikola B. Kovachki Kamyar Azizzadenesheli Burigede Liu K. Bhattacharya Andrew M. Stuart Anima Anandkumar AI4CE 500 2,444 0 18 Oct 2020
B-PINNs: Bayesian Physics-Informed Neural Networks for Forward and Inverse PDE Problems with Noisy Data Liu Yang Xuhui Meng George Karniadakis PINN 233 786 0 13 Mar 2020
Alternating the Population and Control Neural Networks to Solve High-Dimensional Stochastic Mean-Field Games A. Lin Samy Wu Fung Wuchen Li L. Nurbekyan Stanley J. Osher 77 74 0 24 Feb 2020
Deep regularization and direct training of the inner layers of Neural Networks with Kernel Flows G. Yoo H. Owhadi 61 21 0 19 Feb 2020
Deep Network Approximation for Smooth Functions Jianfeng Lu Zuowei Shen Haizhao Yang Shijun Zhang 114 247 0 09 Jan 2020
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 118 220 0 04 Dec 2019
Deep least-squares methods: an unsupervised learning-based numerical method for solving elliptic PDEs Z. Cai Jingshuang Chen Min Liu Xinyu Liu 52 89 0 05 Nov 2019
Data-Driven Deep Learning of Partial Differential Equations in Modal Space Kailiang Wu D. Xiu 119 152 0 15 Oct 2019
Convergence Analysis of Machine Learning Algorithms for the Numerical Solution of Mean Field Control and Games: II -- The Finite Horizon Case René Carmona Mathieu Laurière 48 99 0 05 Aug 2019
Convergence Analysis of Machine Learning Algorithms for the Numerical Solution of Mean Field Control and Games: I -- The Ergodic Case René Carmona Mathieu Laurière 60 8 0 13 Jul 2019
Physics-Constrained Deep Learning for High-dimensional Surrogate Modeling and Uncertainty Quantification without Labeled Data Yinhao Zhu N. Zabaras P. Koutsourelakis P. Perdikaris PINN AI4CE 108 868 0 18 Jan 2019
PDE-Net 2.0: Learning PDEs from Data with A Numeric-Symbolic Hybrid Deep Network Zichao Long Yiping Lu Bin Dong AI4CE 76 553 0 30 Nov 2018
Data Driven Governing Equations Approximation Using Deep Neural Networks Tong Qin Kailiang Wu D. Xiu PINN 74 273 0 13 Nov 2018
Deep Multiscale Model Learning Yating Wang Siu Wun Cheung Eric T. Chung Y. Efendiev Min Wang AI4CE 65 82 0 13 Jun 2018
Computational Optimal Transport Gabriel Peyré Marco Cuturi OT 224 2,149 0 01 Mar 2018
Bayesian Deep Convolutional Encoder-Decoder Networks for Surrogate Modeling and Uncertainty Quantification Yinhao Zhu N. Zabaras UQCV BDL 111 645 0 21 Jan 2018
Multistep Neural Networks for Data-driven Discovery of Nonlinear Dynamical Systems M. Raissi P. Perdikaris George Karniadakis PINN 149 266 0 04 Jan 2018
PDE-Net: Learning PDEs from Data Zichao Long Yiping Lu Xianzhong Ma Bin Dong DiffM AI4CE 46 758 0 26 Oct 2017
The Deep Ritz method: A deep learning-based numerical algorithm for solving variational problems E. Weinan Ting Yu 123 1,387 0 30 Sep 2017
DGM: A deep learning algorithm for solving partial differential equations Justin A. Sirignano K. Spiliopoulos AI4CE 91 2,066 0 24 Aug 2017
Deep learning-based numerical methods for high-dimensional parabolic partial differential equations and backward stochastic differential equations Weinan E Jiequn Han Arnulf Jentzen 125 798 0 15 Jun 2017
Attention Is All You Need Ashish Vaswani Noam M. Shazeer Niki Parmar Jakob Uszkoreit Llion Jones Aidan Gomez Lukasz Kaiser Illia Polosukhin 3DV 728 132,199 0 12 Jun 2017
Error bounds for approximations with deep ReLU networks Dmitry Yarotsky 195 1,230 0 03 Oct 2016
On the Expressive Power of Deep Learning: A Tensor Analysis Nadav Cohen Or Sharir Amnon Shashua 81 471 0 16 Sep 2015
Sinkhorn Distances: Lightspeed Computation of Optimal Transportation Distances Marco Cuturi OT 215 4,277 0 04 Jun 2013