Joint Task Assignment and Trajectory optimization for a Mobile Robot Swarm by Mean-Field Game. - Yuhan Kang; Siting Liu 003; Wonjun Lee 004; Hongliang Zhang 001; Wuchen Li; Zhu Han 001 (GLOBECOM, 2020)

Task Selection and Route Planning for Mobile Crowd Sensing Using Multi-Population Mean-Field Games. - Yuhan Kang; Siting Liu 003; Hongliang Zhang 001; Zhu Han 001; Stanley J. Osher; H. Vincent Poor (ICC, 2021)

Joint Sensing Task Assignment and Collision-Free Trajectory Optimization for Mobile Vehicle Networks Using Mean-Field Games. - Yuhan Kang; Siting Liu 003; Hongliang Zhang 001; Wuchen Li; Zhu Han 001; Stanley J. Osher; H. Vincent Poor (IEEE Internet Things J., 2021)

Controlling Propagation of Epidemics via Mean-Field Control. - Wonjun Lee 004; Siting Liu 003; Hamidou Tembine; Wuchen Li; Stanley J. Osher (SIAM J. Appl. Math., 2021)

Computational Methods for First-Order Nonlocal Mean Field Games with Applications. - Siting Liu 003; Matthew Jacobs; Wuchen Li; Levon Nurbekyan; Stanley J. Osher (SIAM J. Numer. Anal., 2021)

Task Selection and Collision-Free Route Planning for Mobile Crowdsensing Using Multi-Population Mean-Field Games. - Yuhan Kang; Siting Liu 003; Hongliang Zhang 001; Zhu Han 001; Stanley J. Osher; H. Vincent Poor (IEEE Trans. Green Commun. Netw., 2021)

A numerical algorithm for inverse problem from partial boundary measurement arising from mean field game problem. - Yat Tin Chow; Samy Wu Fung; Siting Liu 003; Levon Nurbekyan; Stanley J. Osher (CoRR, 2022)

Controlling conservation laws II: Compressible Navier-Stokes equations. - Wuchen Li; Siting Liu 003; Stanley J. Osher (J. Comput. Phys., 2022)

A kernel formula for regularized Wasserstein proximal operators. - Wuchen Li; Siting Liu 003; Stanley J. Osher (CoRR, 2023)

High order computation of optimal transport, mean field planning, and mean field games. - Guosheng Fu; Siting Liu 003; Stanley J. Osher; Wuchen Li (CoRR, 2023)

In-Context Operator Learning for Differential Equation Problems. - Liu Yang; Siting Liu 003; Tingwei Meng; Stanley J. Osher (CoRR, 2023)

Prompting In-Context Operator Learning with Sensor Data, Equations, and Natural Language. - Liu Yang; Tingwei Meng; Siting Liu 003; Stanley J. Osher (CoRR, 2023)

Primal-dual hybrid gradient algorithms for computing time-implicit Hamilton-Jacobi equations. - Tingwei Meng; Wenbo Hao; Siting Liu 003; Stanley J. Osher; Wuchen Li (CoRR, 2023)

A primal-dual approach for solving conservation laws with implicit in time approximations. - Siting Liu 003; Stanley J. Osher; Wuchen Li; Chi-Wang Shu (J. Comput. Phys., 2023)

Controlling conservation laws I: Entropy-entropy flux. - Wuchen Li; Siting Liu 003; Stanley J. Osher (J. Comput. Phys., 2023)

High order computation of optimal transport, mean field planning, and potential mean field games. - Guosheng Fu; Siting Liu 003; Stanley J. Osher; Wuchen Li (J. Comput. Phys., 2023)

Wasserstein proximal operators describe score-based generative models and resolve memorization. - Benjamin J. Zhang; Siting Liu 003; Wuchen Li; Markos A. Katsoulakis; Stanley J. Osher (CoRR, 2024)

A Primal-dual hybrid gradient method for solving optimal control problems and the corresponding Hamilton-Jacobi PDEs. - Tingwei Meng; Siting Liu 003; Wuchen Li; Stanley J. Osher (CoRR, 2024)

Monotone inclusion methods for a class of second-order non-potential mean-field games. - Levon Nurbekyan; Siting Liu 003; Yat Tin Chow (CoRR, 2024)

A first-order computational algorithm for reaction-diffusion type equations via primal-dual hybrid gradient method. - Shu Liu; Siting Liu 003; Stanley J. Osher; Wuchen Li (J. Comput. Phys., 2024)

Fine-tune language models as multi-modal differential equation solvers. - Liu Yang; Siting Liu 003; Stanley J. Osher (Neural Networks, 2025)

Recent Advances in Numerical Solutions for Hamilton-Jacobi PDEs. - Tingwei Meng; Siting Liu 003; Samy Wu Fung; Stanley J. Osher (CoRR, 2025)