306 citations · 350 across the 8 of their papers we have counts for
8 papers
Artifacts of Numerical Integration in Learning Dynamical Systems
Bing-Ze Lu, Richard Tsai
In many applications, one needs to learn a dynamical system from its solutions sampled at a finite number of time points. The learning problem is often formulated as an optimizatio…
Visibility Optimization for Surveillance-Evasion Games
Louis Ly, Yen-Hsi Richard Tsai
We consider surveillance-evasion differential games, where a pursuer must try to constantly maintain visibility of a moving evader. The pursuer loses as soon as the evader becomes…
Equivalent extensions of Hamilton-Jacobi-Bellman equations on hypersurfaces
Lindsay Martin, Richard Tsai
We present a new formulation for the computation of solutions of a class of Hamilton Jacobi Bellman (HJB) equations on closed smooth surfaces of co-dimension one. For the class of…
Greedy Algorithms for Sparse Sensor Placement via Deep Learning
Louis Ly, Yen-Hsi Richard Tsai
We consider the exploration problem: an agent equipped with a depth sensor must map out a previously unknown environment using as few sensor measurements as possible. We propose an…
A Multiscale Domain Decomposition Algorithm For Boundary Value Problems For Eikonal Equations
Lindsay Martin, Richard Tsai
In this paper, we present a new multiscale domain decomposition algorithm for computing solutions of static Eikonal equations. The new method is an iterative two-scale method that…
Growth rate of crystal surfaces with several dislocation centers
Takeshi Ohtsuka, Yen-Hsi Richard Tsai, Yoshikazu Giga
We study analytically and numerical the growth rate of a crystal surface growing by several screw dislocations. To describe several spiral steps we use the revised level set method…
Automated polyp detection in colon capsule endoscopy
Alexander V. Mamonov, Isabel N. Figueiredo, Pedro N. Figueiredo +1
Colorectal polyps are important precursors to colon cancer, a major health problem. Colon capsule endoscopy (CCE) is a safe and minimally invasive examination procedure, in which t…
Point source identification in non-linear advection-diffusion-reaction systems
Alexander V. Mamonov, Yen-Hsi Richard Tsai
We consider a problem of identification of point sources in time dependent advection-diffusion systems with a non-linear reaction term. The linear counterpart of the problem in que…