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Blog Post number 4
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portfolio
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publications
Learning high dimensional Wasserstein geodesics
Shu Liu∗, Shaojun Ma∗, Yongxin Chen, Hongyuan Zha, Haomin Zhou
Learning stochastic behaviour from aggregate data.
Shaojun Ma, Shu Liu, Hongyuan Zha, Haomin Zhou
A particle-evolving method for approximating the optimal transport plan
Shu Liu∗, Haodong Sun∗, Hongyuan Zha
What is a stochastic Hamiltonian process on finite graph? An optimal transport answer
Jianbo Cui, Shu Liu, Haomin Zhou
Neural parametric Fokker-Planck equations
Shu Liu, Wuchen Li, Hongyuan Zha, Haomin Zhou
Neural Monge Map estimation and its applications.
Jiaojiao Fan∗, Shu Liu∗, Shaojun Ma, Haomin Zhou, Yongxin Chen
Parametrized Wasserstein Hamiltonian flow
Hao Wu, Shu Liu, Xiaojing Ye, Haomin Zhou
Wasserstein Hamiltonian flow with common noise on graph.
Jianbo Cui, Shu Liu, Haomin Zhou
Optimal Control for Stochastic Nonlinear Schrödinger Equation on Graph
Jianbo Cui, Shu Liu, Haomin Zhou
Numerical 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
A supervised learning scheme for computing Hamilton-Jacobi equation via density coupling
Jianbo Cui, Shu Liu, Haomin Zhou
Numerical Analysis on Neural Network projected schemes for approximating one dimensional Wasserstein Gradient Flows
Xinzhe Zuo, Jiaxi Zhao, Shu Liu, Stanley Osher, Wuchen Li
A first-order computational method for Reaction-Diffusion type equations via Primal-Dual Hybrid Gradient method
Shu Liu, Siting Liu, Stanley Osher, Wuchen Li
A Natural Primal-Dual Hybrid Gradient Method for Adversarial Neural Network Training on Solving Partial Differential Equations
Shu Liu, Stanley Osher, Wuchen Li
Parameterized Wasserstein gradient flow
Yijie Jin, Shu Liu, Hao Wu, Xiaojing Ye, Haomin Zhou
Accelerated Markov Chain Monte Carlo Algorithms on Discrete States
Bohan Zhou, Shu Liu, Xinzhe Zuo, Wuchen Li
A parameterized Wasserstein Hamiltonian flow approach for solving the Schrödinger equation
Hao Wu, Shu Liu, Xiaojing Ye, Haomin Zhou
Neural Hamilton-Jacobi Characteristic Flows for Optimal Transport
Yesom Park, Shu Liu, Mo Zhou, Stanley Osher
talks
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teaching
Teaching experience 1
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Teaching experience 2
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