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Li, Wuchen

  1. Wasserstein information matrix
    2019/10/24 by Wuchen Li, Jiaxi Zhao, Li, Wuchen +1 · 8 citations
    Mathematics · Medicine · Physics and Astronomy · #Bone and Joint Diseases #FOS: Computer and information sciences #FOS: Mathematics #Geometric Analysis and Curvature Flows #Information Theory (cs.IT) #Statistical Mechanics and Entropy #Statistics Theory (math.ST)
  2. Wasserstein Hamiltonian flows
    2019/03/04 by Chow, Shui-Nee, Li, Wuchen, Zhou, Haomin · 4 citations
    #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics
  3. Solving Large-Scale Optimization Problems with a Convergence Rate\n Independent of Grid Size
    2018/05/23 by Matt Jacobs, Jacobs, Matt, Flavien Léger +5 · 3 citations
    Computer Science · Medicine · #49M29 #65K10 #Advanced Neuroimaging Techniques and Applications #FOS: Mathematics #Medical Image Segmentation Techniques #Medical Imaging Techniques and Applications #Numerical Analysis (math.NA) #Optimization and Control (math.OC)
  4. A mean field game inverse problem
    2020/07/22 by Lisang Ding, Wuchen Li, Ding, Lisang +5 · 3 citations
    Physics and Astronomy · #Statistical Mechanics and Entropy #Advanced Thermodynamics and Statistical Mechanics #Opinion Dynamics and Social Influence
  5. Information Newton's flow: second-order optimization method in probability space
    2020/01/13 by Yifei Wang, Wang, Yifei, Wuchen Li +1 · 3 citations
    Mathematics · Physics and Astronomy · #FOS: Computer and information sciences #FOS: Mathematics #Geometric Analysis and Curvature Flows #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Markov Chains and Monte Carlo Methods #Optimization and Control (math.OC) #Statistical Mechanics and Entropy
  6. Tracial smooth functions of non-commuting variables and the free Wasserstein manifold
    2021/01/17 by Jekel, David, Li, Wuchen, Shlyakhtenko, Dimitri · 3 citations
    #35Q49 #46L52 #46L54 #94A17 #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Operator Algebras (math.OA)
  7. Entropy dissipation of Fokker-Planck equations on graphs
    2017/01/17 by Chow, Shui-Nee, Li, Wuchen, Zhou, Haomin · 2 citations
    #Dynamical Systems (math.DS) #FOS: Mathematics
  8. A discrete Schrodinger equation via optimal transport on graphs
    2017/05/22 by Chow, Shui-Nee, Li, Wuchen, Zhou, Haomin · 2 citations
    #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
  9. Transport information geometry I: Riemannian calculus on probability simplex
    2018/03/16 by Li, Wuchen · 2 citations
    #Differential Geometry (math.DG) #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT)
  10. Optimal transport natural gradient for statistical manifolds with continuous sample space
    2018/05/22 by Chen, Yifan, Li, Wuchen · 2 citations
    #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Optimization and Control (math.OC) #Statistics Theory (math.ST)
  11. Projected Wasserstein gradient descent for high-dimensional Bayesian inference
    2021/02/12 by Yifei Wang, Wang, Yifei, Peng Chen +3 · 2 citations
    Computer Science · Physics and Astronomy · #Adversarial Robustness in Machine Learning #FOS: Computer and information sciences #Generative Adversarial Networks and Image Synthesis #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Model Reduction and Neural Networks
  12. Ricci curvature for parametric statistics via optimal transport
    2018/07/18 by Wuchen Li, Li, Wuchen, Guido Montúfar +1 · 2 citations
    Mathematics · #51K10 #62F99 #68T99 #FOS: Computer and information sciences #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Information Theory (cs.IT) #Point processes and geometric inequalities #Statistics Theory (math.ST)
  13. Vector and Matrix Optimal Mass Transport: Theory, Algorithm, and Applications
    2017/12/29 by Ryu, Ernest K., Chen, Yongxin, Li, Wuchen +1 · 1 citation
    #65K05 #65K10 #90C25 #FOS: Electrical engineering #FOS: Mathematics #Functional Analysis (math.FA) #Optimization and Control (math.OC) #Systems and Control (eess.SY) #electronic engineering #information engineering
  14. Geodesic of minimal length in the set of probability measures on graphs
    2017/12/26 by Gangbo, Wilfrid, Li, Wuchen, Mou, Chenchen · 1 citation
    #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Metric Geometry (math.MG)
  15. A deep learning algorithm for computing mean field control problems via forward-backward score dynamics
    2024/01/17 by Mo Zhou, Zhou, Mo, Stanley Osher +3 · 2 citations
    Physics and Astronomy · Engineering · Economics, Econometrics and Finance · #Model Reduction and Neural Networks #Fluid Dynamics and Turbulent Flows #Stochastic processes and financial applications
  16. Multilevel Optimal Transport: a Fast Approximation of Wasserstein-1 distances
    2018/09/29 by Jialin Liu, Wotao Yin, Liu, Jialin +5 · 1 citation
    Mathematics · Medicine · #Geometric Analysis and Curvature Flows #Markov Chains and Monte Carlo Methods #Advanced Neuroimaging Techniques and Applications
  17. Hopf-Cole transformation via generalized Schrödinger bridge problem
    2019/01/25 by Léger, Flavien, Li, Wuchen · 1 citation
    #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics #Optimization and Control (math.OC)
  18. Controlling Propagation of epidemics via mean-field control
    2020/06/01 by Lee, Wonjun, Liu, Siting, Tembine, Hamidou +2 · 1 citation
    #FOS: Biological sciences #FOS: Mathematics #FOS: Physical sciences #Optimization and Control (math.OC) #Physics and Society (physics.soc-ph) #Populations and Evolution (q-bio.PE)
  19. Transport information Bregman divergences
    2021/01/04 by Li, Wuchen · 1 citation
    #Artificial Intelligence (cs.AI) #FOS: Computer and information sciences #FOS: Mathematics #FOS: Physical sciences #Information Theory (cs.IT) #Mathematical Physics (math-ph) #Probability (math.PR)
  20. Wasserstein Proximal of GANs
    2021/02/13 by Lin, Alex Tong, Li, Wuchen, Osher, Stanley +1 · 1 citation
    #Artificial Intelligence (cs.AI) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Numerical Analysis (math.NA)
  21. Controlling conservation laws I: entropy-entropy flux
    2021/11/10 by Wuchen Li, Li, Wuchen, Siting Liu +3 · 1 citation
    Mathematics · Engineering · #Geometric Analysis and Curvature Flows #Mathematical Biology Tumor Growth #Fluid Dynamics and Turbulent Flows
  22. Natural gradient via optimal transport
    2018/03/16 by Wuchen Li, Li, Wuchen, Guido Montúfar +1 · 1 citation
    Computer Science · Mathematics · #FOS: Computer and information sciences #FOS: Mathematics #Geometric Analysis and Curvature Flows #Information Theory (cs.IT) #Optimization and Control (math.OC) #Point processes and geometric inequalities #Topological and Geometric Data Analysis
  23. Deep JKO: time-implicit particle methods for general nonlinear gradient flows
    2023/11/12 by Lee, Wonjun, Wang, Li, Li, Wuchen · 2 citations
    #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical Analysis (math.NA)
  24. Generalized optimal transport and mean field control problems for reaction-diffusion systems with high-order finite element computation
    2023/06/09 by Fu, Guosheng, Osher, Stanley, Pazner, Will +1 · 1 citation
    #FOS: Mathematics #Numerical Analysis (math.NA) #Optimization and Control (math.OC)
  25. Interacting Langevin Diffusions: Gradient Structure And Ensemble Kalman\n Sampler
    2019/03/21 by Alfredo Garbuno-Iñigo, Garbuno-Inigo, Alfredo, Franca Hoffmann +5 · 1 citation
    Computer Science · Decision Sciences · Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #Gaussian Processes and Bayesian Inference #Markov Chains and Monte Carlo Methods #Probabilistic and Robust Engineering Design
  26. Scaling Limits of the Wasserstein information matrix on Gaussian Mixture Models
    2023/09/22 by Li, Wuchen, Zhao, Jiaxi · 1 citation
    #41A60 #62B11 #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (stat.ML) #Numerical Analysis (math.NA) #Probability (math.PR)
  27. Noise-Free Sampling Algorithms via Regularized Wasserstein Proximals
    2023/08/28 by Hong Ye Tan, Stanley Osher, Tan, Hong Ye +3 · 2 citations
    Computer Science · Mathematics · #62G07 #65C05 #Computation (stat.CO) #Domain Adaptation and Few-Shot Learning #FOS: Computer and information sciences #Gaussian Processes and Bayesian Inference #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Markov Chains and Monte Carlo Methods
  28. Hessian transport gradient flows
    2019/05/11 by Wuchen Li, Li, Wuchen, Lexing Ying +1 · 1 citation
    Mathematics · Physics and Astronomy · #FOS: Computer and information sciences #Geometric Analysis and Curvature Flows #Information Theory (cs.IT) #Markov Chains and Monte Carlo Methods #Statistical Mechanics and Entropy
  29. Wasserstein proximal operators describe score-based generative models and resolve memorization
    2024/02/09 by Zhang, Benjamin J., Liu, Siting, Li, Wuchen +2 · 1 citation
    #FOS: Computer and information sciences #Machine Learning (cs.LG) #Machine Learning (stat.ML)
  30. Mean field control of droplet dynamics with high order finite element computations
    2024/02/08 by Fu, Guosheng, Ji, Hangjie, Pazner, Will +1 · 1 citation
    #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Numerical Analysis (math.NA) #Optimization and Control (math.OC)
  31. A Natural Primal-Dual Hybrid Gradient Method for Adversarial Neural Network Training on Solving Partial Differential Equations
    2024/11/09 by Shuming Liu, Liu, Shu, Stanley Osher +3 · 2 citations
    Physics and Astronomy · #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Optimization and Control (math.OC)
  32. Score-based Neural Ordinary Differential Equations for Computing Mean Field Control Problems
    2024/09/24 by Mo Zhou, Zhou, Mo, Stanley Osher +3 · 2 citations
    Computer Science · Physics and Astronomy · #34H05 #FOS: Computer and information sciences #FOS: Mathematics #G.1.7 #Machine Learning (cs.LG) #Model Reduction and Neural Networks #Neural Networks and Applications #Optimization and Control (math.OC)
  33. Variational conditional normalizing flows for computing second-order mean field control problems
    2025/03/25 by Zhao, Jiaxi, Zhou, Mo, Zuo, Xinzhe +1 · 2 citations
    #49M41 #65K10 #68T07 #FOS: Mathematics #Optimization and Control (math.OC)
  34. A kernel formula for regularized Wasserstein proximal operators
    2023/01/24 by Wuchen Li, Siting Liu, Li, Wuchen +3 · 2 citations
    Engineering · Mathematics · #FOS: Mathematics #Geometric Analysis and Curvature Flows #Numerical Analysis (math.NA) #Numerical methods in engineering #Numerical methods in inverse problems #Optimization and Control (math.OC)
  35. A Fast Proximal Gradient Method and Convergence Analysis for Dynamic Mean Field Planning
    2021/02/26 by Yu, Jiajia, Lai, Rongjie, Li, Wuchen +1 · 1 citation
    #49M25 #49M41 #65K10 #FOS: Mathematics #Numerical Analysis (math.NA) #Optimization and Control (math.OC)
  36. Fluctuations in Wasserstein dynamics on Graphs
    2024/08/16 by Gao, Yuan, Li, Wuchen, Liu, Jian-Guo · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR)