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publications
Learning high dimensional Wasserstein geodesics
Shu Liu∗, Shaojun Ma∗, Yongxin Chen, Hongyuan Zha, Haomin Zhou
arXiv:2102.02992. 2021
PaperLearning stochastic behaviour from aggregate data.
Shaojun Ma, Shu Liu, Hongyuan Zha, Haomin Zhou
Proceedings of the 38th International Conference on Machine Learning (ICML), 2021
PaperA particle-evolving method for approximating the optimal transport plan
Shu Liu, Haodong Sun, Hongyuan Zha
Geometric Science of Information, 2021
What is a stochastic Hamiltonian process on finite graph? An optimal transport answer
Jianbo Cui, Shu Liu, Haomin Zhou
Journal of Differential Equations, Vol. 305, Pages 428-457, 2021
Paper | SlidesNeural parametric Fokker-Planck equations
Shu Liu, Wuchen Li, Hongyuan Zha, Haomin Zhou
SIAM Journal on Numerical Analysis, Vol. 60, Iss. 3, pp. 1385-1449, 2022
Paper | SlidesStochastic Wasserstein Hamiltonian Flows.
Jianbo Cui, Shu Liu, Haomin Zhou
Journal of Dynamics and Differential Equations, Volume 36, pages 3885–3921, 2024.
PaperNeural Monge Map estimation and its applications.
Jiaojiao Fan∗, Shu Liu∗, Shaojun Ma, Haomin Zhou, Yongxin Chen
Transaction on Machine Learning Research [Featured Certification], 2023
Paper | SlidesParametrized Wasserstein Hamiltonian flow
Hao Wu, Shu Liu, Xiaojing Ye, Haomin Zhou
arXiv: 2306.00191. 2023
Paper | SlidesWasserstein Hamiltonian flow with common noise on graph.
Jianbo Cui, Shu Liu, Haomin Zhou
SIAM Journal on Applied Mathematics, Vol. 83, Iss. 2 pp. 484 - 509, 2023.
PaperOptimal Control for Stochastic Nonlinear Schrödinger Equation on Graph
Jianbo Cui, Shu Liu, Haomin Zhou
SIAM Journal on Control and Optimization Vol. 61, Iss. 4 2023.
PaperNumerical analysis of a first-order computational algorithm for reaction-diffusion equations via the primal-dual hybrid gradient method
Shu Liu, Xinzhe Zuo, Stanley Osher, Wuchen Li
arXiv: 2401.14602. 2024
Paper | SlidesA supervised learning scheme for computing Hamilton-Jacobi equation via density coupling
Jianbo Cui, Shu Liu, Haomin Zhou
arXiv: 2401.15954. 2024
PaperNumerical Analysis on Neural Network projected schemes for approximating one dimensional Wasserstein Gradient Flows
Xinzhe Zuo, Jiaxi Zhao, Shu Liu, Stanley Osher, Wuchen Li
arXiv: 2402.16821. 2024
PaperA first-order computational method for Reaction-Diffusion type equations via Primal-Dual Hybrid Gradient method
Shu Liu, Siting Liu, Stanley Osher, Wuchen Li
Journal of Computational Physics Volume 500, 2024
Paper | SlidesA Natural Primal-Dual Hybrid Gradient Method for Adversarial Neural Network Training on Solving Partial Differential Equations
Shu Liu, Stanley Osher, Wuchen Li
arXiv: 2411.06278. 2024
Paper | SlidesParameterized Wasserstein gradient flow
Yijie Jin, Shu Liu, Hao Wu, Xiaojing Ye, Haomin Zhou
Journal of Computational Physics Volume 524, 2025
Paper | Slidestalks
Talk 1 on Relevant Topic in Your Field
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teaching
Teaching experience 1
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Undergraduate course, University 1, Department, 2014
Teaching experience 2
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Workshop, University 1, Department, 2015