116 citations · 209 across the 16 of their papers we have counts for
4 papers · 1 filter
Wasserstein Archetypal Analysis
Katy Craig, Braxton Osting, Dong Wang +1
Archetypal analysis is an unsupervised machine learning method that summarizes data using a convex polytope. In its original formulation, for fixed k, the method finds a convex pol…
A two-stage method for reconstruction of parameters in diffusion equations
Xuesong Bai, Elena Cherkaev, Dong Wang
Parameter reconstruction for diffusion equations has a wide range of applications. In this paper, we proposed a two-stage scheme to efficiently solve conductivity reconstruction pr…
A modularized algorithmic framework for interface related optimization problems using characteristic functions
Dong Wang, Shangzhi Zeng, Jin Zhang
In this paper, we consider the algorithms and convergence for a general optimization problem, which has a wide range of applications in image segmentation, topology optimization, f…
Variational methods and deep Ritz method for active elastic solids
Haiqin Wang, Boyi Zou, Jian Su +2
Variational methods have been widely used in soft matter physics for both static and dynamic problems. These methods are mostly based on two variational principles: the variational…