Convergence of the deep BSDE method for coupled FBSDEs J Han, J Long
Probability, Uncertainty and Quantitative Risk 5 (1), 5, 2020
185 2020 Learning high-dimensional McKean–Vlasov forward-backward stochastic differential equations with general distribution dependence J Han, R Hu, J Long
SIAM Journal on Numerical Analysis 62 (1), 1-24, 2024
29 2024 Convergence of deep fictitious play for stochastic differential games J Han, R Hu, J Long
arXiv preprint arXiv:2008.05519, 2020
26 2020 An Analysis of Reinforcement Learning in High Dimensions with Kernel and Neural Network Approximation J Long, J Han
arXiv preprint arXiv:2104.07794, 2021
21 2021 A class of dimension-free metrics for the convergence of empirical measures J Han, R Hu, J Long
Stochastic Processes and their Applications 164, 242-287, 2023
15 2023 Perturbational complexity by distribution mismatch: A systematic analysis of reinforcement learning in reproducing kernel hilbert space J Long, J Han
arXiv preprint arXiv:2111.03469, 2021
11 2021 A spectral-based analysis of the separation between two-layer neural networks and linear methods L Wu, J Long
Journal of Machine Learning Research 23 (119), 1-34, 2022
9 2022 Empowering optimal control with machine learning: A perspective from model predictive control E Weinan, J Han, J Long
IFAC-PapersOnLine 55 (30), 121-126, 2022
8 2022 A machine learning enhanced algorithm for the optimal landing problem Y Zang, J Long, X Zhang, W Hu, E Weinan, J Han
Mathematical and Scientific Machine Learning, 319-334, 2022
5 2022 Reinforcement learning with function approximation: From linear to nonlinear J Long, J Han
arXiv preprint arXiv:2302.09703, 2023
4 2023 Initial value problem enhanced sampling for closed-loop optimal control design with deep neural networks X Zhang, J Long, W Hu, J Han
arXiv preprint arXiv:2209.04078, 2022
4 2022 Deep Picard Iteration for High-Dimensional Nonlinear PDEs J Han, W Hu, J Long, Y Zhao
arXiv preprint arXiv:2409.08526, 2024
1 2024 Finite-agent stochastic differential games on large graphs: I. the linear-quadratic case R Hu, J Long, H Zhou
arXiv preprint arXiv:2406.09523, 2024
1 2024 High-Dimensional Reinforcement Learning and Optimal Control Problems J Long
Princeton University, 2023
1 2023 Solving optimal control of rigid-body dynamics with collisions using the hybrid minimum principle W Hu, J Long, Y Zang, J Han
arXiv e-prints, arXiv: 2205.08622, 2022
1 2022 Linear approximability of two-layer neural networks: A comprehensive analysis based on spectral decay J Long, L Wu
arXiv e-prints, arXiv: 2108.04964, 2021
1 2021 A Duality Analysis of Kernel Ridge Regression in the Noiseless Regime J Long, X Peng, L Wu
arXiv preprint arXiv:2402.15718, 2024
2024 Learning Free Terminal Time Optimal Closed-loop Control of Manipulators W Hu, Y Zhao, J Han, J Long
arXiv preprint arXiv:2311.17749, 2023
2023 The Learnability of Reproducing Kernel Hilbert Spaces H Chen, J Long, L Wu
arXiv preprint arXiv:2306.02833, 2023
2023 A duality framework for analyzing random feature and two-layer neural networks H Chen, J Long, L Wu
arXiv preprint arXiv:2305.05642, 2023
2023