Robust SDE-Based Variational Formulations for Solving Linear PDEs via Deep Learning

21 June 2022

Papers citing "Robust SDE-Based Variational Formulations for Solving Linear PDEs via Deep Learning"

13 / 13 papers shown

Title
$Deep Generalized Schr\"odinger Bridges: From Image Generation to Solving Mean-Field Games$ Deep Generalized Schr\"odinger Bridges: From Image Generation to Solving Mean-Field Games Guan-Horng Liu Tianrong Chen Evangelos A. Theodorou 26 0 0 31 Dec 2024
Amortized Control of Continuous State Space Feynman-Kac Model for Irregular Time Series Byoungwoo Park Hyungi Lee Juho Lee AI4TS 41 0 0 08 Oct 2024
Base Models for Parabolic Partial Differential Equations Xingzi Xu Ali Hasan Jie Ding Vahid Tarokh 45 1 0 17 Jul 2024
Dynamical Measure Transport and Neural PDE Solvers for Sampling Jingtong Sun Julius Berner Lorenz Richter Marius Zeinhofer Johannes Müller Kamyar Azizzadenesheli Anima Anandkumar OT DiffM 39 8 0 10 Jul 2024
Reduced-Order Neural Operators: Learning Lagrangian Dynamics on Highly Sparse Graphs Hrishikesh Viswanath Yue Chang Julius Berner Julius Berner Peter Yichen Chen Aniket Bera AI4CE 63 2 0 04 Jul 2024
Solving Poisson Equations using Neural Walk-on-Spheres Hong Chul Nam Julius Berner Anima Anandkumar 37 3 0 05 Jun 2024
Neural Operators for Accelerating Scientific Simulations and Design Kamyar Azzizadenesheli Nikola B. Kovachki Zong-Yi Li Miguel Liu-Schiaffini Jean Kossaifi Anima Anandkumar AI4CE 35 122 0 27 Sep 2023
From continuous-time formulations to discretization schemes: tensor trains and robust regression for BSDEs and parabolic PDEs Lorenz Richter Leon Sallandt Nikolas Nusken 19 4 0 28 Jul 2023
Improved sampling via learned diffusions Lorenz Richter Julius Berner DiffM 34 52 0 03 Jul 2023
Monte Carlo Neural PDE Solver for Learning PDEs via Probabilistic Representation Rui Zhang Qi Meng Rongchan Zhu Yue Wang Wenlei Shi Shihua Zhang Zhi-Ming Ma Tie-Yan Liu DiffM AI4CE 51 4 0 10 Feb 2023
An optimal control perspective on diffusion-based generative modeling Julius Berner Lorenz Richter Karen Ullrich DiffM 28 80 0 02 Nov 2022
Learning ReLU networks to high uniform accuracy is intractable Julius Berner Philipp Grohs F. Voigtlaender 32 4 0 26 May 2022
Interpolating between BSDEs and PINNs: deep learning for elliptic and parabolic boundary value problems Nikolas Nusken Lorenz Richter PINN DiffM 31 27 0 07 Dec 2021