210 citations · 1.2k across the 58 of their papers we have counts for
11 papers · 1 filter
Diagnosing Forward Operator Error Using Optimal Transport
Michael A. Puthawala, Cory D. Hauck, Stanley J. Osher
We investigate overdetermined linear inverse problems for which the forward operator may not be given accurately. We introduce a new tool called the structure, based on the Wassers…
Error estimation of weighted nonlocal Laplacian on random point cloud
Zuoqiang Shi, Bao Wang, Stanley J. Osher
We analyze the convergence of the weighted nonlocal Laplacian (WNLL) on high dimensional randomly distributed data. The analysis reveals the importance of the scaling weight $μ\sim…
Modeling Environmental Crime in Protected Areas Using the Level Set Method
David J. Arnold, Dayne Fernandez, Ruizhe Jia +5
National parks often serve as hotspots for environmental crime such as illegal deforestation and animal poaching. Previous attempts to model environmental crime were either discret…
Algorithm for Hamilton-Jacobi equations in density space via a generalized Hopf formula
Yat Tin Chow, Wuchen Li, Stanley Osher +1
We design fast numerical methods for Hamilton-Jacobi equations in density space (HJD), which arises in optimal transport and mean field games. We overcome the curse-of-infinite-dim…
Scientific Data Interpolation with Low Dimensional Manifold Model
Wei Zhu, Bao Wang, Richard Barnard +3
We propose to apply a low dimensional manifold model to scientific data interpolation from regular and irregular samplings with a significant amount of missing information. The low…
Computations of optimal transport distance with Fisher information regularization
Wuchen Li, Penghang Yin, Stanley Osher
We propose a fast algorithm to approximate the optimal transport distance. The main idea is to add a Fisher information regularization into the dynamical setting of the problem, or…