Wuchen Li

J. Nonlinear Sci., February, 2024

Optimal Neural Network Approximation of Wasserstein Gradient Direction via Convex Optimization.

[BibT_eX]

[DOI]

SIAM J. Math. Data Sci., 2024

Deep JKO: Time-implicit particle methods for general nonlinear gradient flows.

[BibT_eX]

[DOI]

Wonjun Lee

Li Wang

J. Comput. Phys., 2024

Generalized optimal transport and mean field control problems for reaction-diffusion systems with high-order finite element computation.

[BibT_eX]

[DOI]

J. Comput. Phys., 2024

A Natural Primal-Dual Hybrid Gradient Method for Adversarial Neural Network Training on Solving Partial Differential Equations.

[BibT_eX]

[DOI]

Shu Liu

CoRR, 2024

Gradient-adjusted underdamped Langevin dynamics for sampling.

[BibT_eX]

[DOI]

Xinzhe Zuo

CoRR, 2024

Score-based Neural Ordinary Differential Equations for Computing Mean Field Control Problems.

[BibT_eX]

[DOI]

Mo Zhou

CoRR, 2024

Convergence of Noise-Free Sampling Algorithms with Regularized Wasserstein Proximals.

[BibT_eX]

[DOI]

Fuqun Han

CoRR, 2024

A Primal-dual hybrid gradient method for solving optimal control problems and the corresponding Hamilton-Jacobi PDEs.

[BibT_eX]

[DOI]

CoRR, 2024

Numerical Analysis on Neural Network Projected Schemes for Approximating One Dimensional Wasserstein Gradient Flows.

[BibT_eX]

[DOI]

CoRR, 2024

Wasserstein proximal operators describe score-based generative models and resolve memorization.

[BibT_eX]

[DOI]

Benjamin J. Zhang

Markos A. Katsoulakis

CoRR, 2024

Mean field control of droplet dynamics with high order finite element computations.

[BibT_eX]

[DOI]

CoRR, 2024

Fisher information dissipation for time inhomogeneous stochastic differential equations.

[BibT_eX]

[DOI]

Qi Feng

Xinzhe Zuo

CoRR, 2024

Numerical analysis of a first-order computational algorithm for reaction-diffusion equations via the primal-dual hybrid gradient method.

[BibT_eX]

[DOI]

CoRR, 2024

Tensor train based sampling algorithms for approximating regularized Wasserstein proximal operators.

[BibT_eX]

[DOI]

Fuqun Han

CoRR, 2024

2023

High order spatial discretization for variational time implicit schemes: Wasserstein gradient flows and reaction-diffusion systems.

[BibT_eX]

[DOI]

Guosheng Fu

J. Comput. Phys., October, 2023

High order computation of optimal transport, mean field planning, and potential mean field games.

[BibT_eX]

[DOI]

J. Comput. Phys., October, 2023

Computational mean-field games on manifolds.

[BibT_eX]

[DOI]

J. Comput. Phys., July, 2023

A Time-Fractional Mean-Field Control Modeling Subdiffusive Advective Transport.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., June, 2023

A fast proximal gradient method and convergence analysis for dynamic mean field planning.

[BibT_eX]

[DOI]

Math. Comput., June, 2023

Controlling conservation laws I: Entropy-entropy flux.

[BibT_eX]

[DOI]

J. Comput. Phys., May, 2023

A primal-dual approach for solving conservation laws with implicit in time approximations.

[BibT_eX]

[DOI]

J. Comput. Phys., 2023

Entropy Dissipation for Degenerate Stochastic Differential Equations via Sub-Riemannian Density Manifold.

[BibT_eX]

[DOI]

Qi Feng

Entropy, 2023

Primal-dual hybrid gradient algorithms for computing time-implicit Hamilton-Jacobi equations.

[BibT_eX]

[DOI]

CoRR, 2023

Scaling Limits of the Wasserstein information matrix on Gaussian Mixture Models.

[BibT_eX]

[DOI]

Jiaxi Zhao

CoRR, 2023

Noise-Free Sampling Algorithms via Regularized Wasserstein Proximals.

[BibT_eX]

[DOI]

Hong Ye Tan

CoRR, 2023

High order computation of optimal transport, mean field planning, and mean field games.

[BibT_eX]

[DOI]

CoRR, 2023

A kernel formula for regularized Wasserstein proximal operators.

[BibT_eX]

[DOI]

CoRR, 2023

2022

Energy-Efficient Velocity Control for Massive Numbers of UAVs: A Mean Field Game Approach.

[BibT_eX]

[DOI]

IEEE Trans. Veh. Technol., 2022

Opinion Evolution in Social Networks: Connecting Mean Field Games to Generative Adversarial Nets.

[BibT_eX]

[DOI]

IEEE Trans. Netw. Sci. Eng., 2022

Neural Parametric Fokker-Planck Equation.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2022

Projected Wasserstein Gradient Descent for High-Dimensional Bayesian Inference.

[BibT_eX]

[DOI]

Yifei Wang

Peng Chen

SIAM/ASA J. Uncertain. Quantification, 2022

Accelerated Information Gradient Flow.

[BibT_eX]

[DOI]

Yi-Fei Wang

J. Sci. Comput., 2022

A Mean Field Game Inverse Problem.

[BibT_eX]

[DOI]

J. Sci. Comput., 2022

Computational mean-field information dynamics associated with reaction-diffusion equations.

[BibT_eX]

[DOI]

Wonjun Lee

J. Comput. Phys., 2022

Controlling conservation laws II: Compressible Navier-Stokes equations.

[BibT_eX]

[DOI]

J. Comput. Phys., 2022

Mean field information Hessian matrices on graphs.

[BibT_eX]

[DOI]

Linyuan Lu

CoRR, 2022

2021

Multilevel Optimal Transport: A Fast Approximation of Wasserstein-1 Distances.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2021

Computational Methods for First-Order Nonlocal Mean Field Games with Applications.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2021

Controlling Propagation of Epidemics via Mean-Field Control.

[BibT_eX]

[DOI]

SIAM J. Appl. Math., 2021

Generalized unnormalized optimal transport and its fast algorithms.

[BibT_eX]

[DOI]

J. Comput. Phys., 2021

Modeling COVID-19 with mean field evolutionary dynamics: Social distancing and seasonality.

[BibT_eX]

[DOI]

J. Commun. Networks, 2021

Joint Sensing Task Assignment and Collision-Free Trajectory Optimization for Mobile Vehicle Networks Using Mean-Field Games.

[BibT_eX]

[DOI]

IEEE Internet Things J., 2021

Tracial smooth functions of non-commuting variables and the free Wasserstein manifold.

[BibT_eX]

[DOI]

David Jekel

Dimitri Shlyakhtenko

CoRR, 2021

Transport information Bregman divergences.

[BibT_eX]

[DOI]

CoRR, 2021

Belief and Opinion Evolution in Social Networks: A High-Dimensional Mean Field Game Approach.

[BibT_eX]

[DOI]

Proceedings of the ICC 2021, 2021

Wasserstein Proximal of GANs.

[BibT_eX]

[DOI]

Proceedings of the Geometric Science of Information - 5th International Conference, 2021

Transport Information Hessian Distances.

[BibT_eX]

[DOI]

Proceedings of the Geometric Science of Information - 5th International Conference, 2021

2020

Mean Field Evolutionary Dynamics in Dense-User Multi-Access Edge Computing Systems.

[BibT_eX]

[DOI]

IEEE Trans. Wirel. Commun., 2020

Equilibrium Selection via Optimal Transport.

[BibT_eX]

[DOI]

SIAM J. Appl. Math., 2020

Interacting Langevin Diffusions: Gradient Structure and Ensemble Kalman Sampler.

[BibT_eX]

[DOI]

Alfredo Garbuno-Inigo

Franca Hoffmann

Andrew M. Stuart

SIAM J. Appl. Dyn. Syst., 2020

Fisher information regularization schemes for Wasserstein gradient flows.

[BibT_eX]

[DOI]

Jianfeng Lu

Li Wang

J. Comput. Phys., 2020

Quantum statistical learning via Quantum Wasserstein natural gradient.

[BibT_eX]

[DOI]

Simon Becker

CoRR, 2020

Hessian metric via transport information geometry.

[BibT_eX]

[DOI]

CoRR, 2020

Neural Parametric Fokker-Planck Equations.

[BibT_eX]

[DOI]

CoRR, 2020

APAC-Net: Alternating the Population and Agent Control via Two Neural Networks to Solve High-Dimensional Stochastic Mean Field Games.

[BibT_eX]

[DOI]

CoRR, 2020

Information Newton's flow: second-order optimization method in probability space.

[BibT_eX]

[DOI]

Yifei Wang

CoRR, 2020

Kernelized Wasserstein Natural Gradient.

[BibT_eX]

[DOI]

Proceedings of the 8th International Conference on Learning Representations, 2020

Joint Task Assignment and Trajectory optimization for a Mobile Robot Swarm by Mean-Field Game.

[BibT_eX]

[DOI]

Proceedings of the IEEE Global Communications Conference, 2020

Analyzing Social Distancing and Seasonality of COVID-19 with Mean Field Evolutionary Dynamics.

[BibT_eX]

[DOI]

Proceedings of the IEEE Globecom Workshops, 2020

Energy-efficient Velocity Control for Massive Numbers of Rotary-Wing UAVs: A Mean Field Game Approach.

[BibT_eX]

[DOI]

Proceedings of the IEEE Global Communications Conference, 2020

2019

Solving Large-Scale Optimization Problems with a Convergence Rate Independent of Grid Size.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2019

Algorithm for Hamilton-Jacobi Equations in Density Space Via a Generalized Hopf Formula.

[BibT_eX]

[DOI]

J. Sci. Comput., 2019

Population Games and Discrete Optimal Transport.

[BibT_eX]

[DOI]

J. Nonlinear Sci., 2019

Unnormalized optimal transport.

[BibT_eX]

[DOI]

J. Comput. Phys., 2019

A Machine Learning Framework for Solving High-Dimensional Mean Field Game and Mean Field Control Problems.

[BibT_eX]

[DOI]

CoRR, 2019

Wasserstein information matrix.

[BibT_eX]

[DOI]

Jiaxi Zhao

CoRR, 2019

Wasserstein Diffusion Tikhonov Regularization.

[BibT_eX]

[DOI]

CoRR, 2019

Diffusion Hypercontractivity via Generalized Density Manifold.

[BibT_eX]

[DOI]

CoRR, 2019

Hessian transport gradient flows.

[BibT_eX]

[DOI]

Lexing Ying

CoRR, 2019

Wasserstein of Wasserstein Loss for Learning Generative Models.

[BibT_eX]

[DOI]

Proceedings of the 36th International Conference on Machine Learning, 2019

Parametric Fokker-Planck Equation.

[BibT_eX]

[DOI]

Proceedings of the Geometric Science of Information - 4th International Conference, 2019

Affine Natural Proximal Learning.

[BibT_eX]

[DOI]

Alex Tong Lin

Guido Montúfar

Proceedings of the Geometric Science of Information - 4th International Conference, 2019

Hopf-Cole Transformation and Schrödinger Problems.

[BibT_eX]

[DOI]

Flavien Léger

Proceedings of the Geometric Science of Information - 4th International Conference, 2019

Mean Field Evolutionary Dynamics in Ultra Dense Mobile Edge Computing Systems.

[BibT_eX]

[DOI]

Proceedings of the 2019 IEEE Global Communications Conference, 2019

2018

Vector and Matrix Optimal Mass Transport: Theory, Algorithm, and Applications.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2018

Unbalanced and Partial L<sub>1</sub> Monge-Kantorovich Problem: A Scalable Parallel First-Order Method.

[BibT_eX]

[DOI]

J. Sci. Comput., 2018

Computations of Optimal Transport Distance with Fisher Information Regularization.

[BibT_eX]

[DOI]

Penghang Yin

J. Sci. Comput., 2018

A Parallel Method for Earth Mover's Distance.

[BibT_eX]

[DOI]

J. Sci. Comput., 2018

Ricci curvature for parametric statistics via optimal transport.

[BibT_eX]

[DOI]

Guido Montúfar

CoRR, 2018

Natural gradient in Wasserstein statistical manifold.

[BibT_eX]

[DOI]

Yifan Chen

CoRR, 2018

Natural gradient via optimal transport I.

[BibT_eX]

[DOI]

Guido Montúfar

CoRR, 2018

Transport information geometry I: Riemannian calculus on probability simplex.

[BibT_eX]

[DOI]