3 citations · 3 across the 2 of their papers we have counts for
6 papers
A Multilayer Network Model of the Coevolution of the Spread of a Disease and Competing Opinions
Kaiyan Peng, Zheng Lu, Vanessa Lin +5
During the COVID-19 pandemic, conflicting opinions on physical distancing swept across social media, affecting both human behavior and the spread of COVID-19. Inspired by such phen…
A Hamilton-Jacobi Formulation for Time-Optimal Paths of Rectangular Nonholonomic Vehicles
Christian Parkinson, Andrea L. Bertozzi, Stanley Osher
We address the problem of optimal path planning for a simple nonholonomic vehicle in the presence of obstacles. Most current approaches are either split hierarchically into global…
A Model for Optimal Human Navigation with Stochastic Effects
Christian Parkinson, David Arnold, Andrea L. Bertozzi +1
We present a method for optimal path planning of human walking paths in mountainous terrain, using a control theoretic formulation and a Hamilton-Jacobi-Bellman equation. Previous…
A Rotating-Grid Upwind Fast Sweeping Scheme for a Class of Hamilton-Jacobi Equations
Christian Parkinson
We present a fast sweeping method for a class of Hamilton-Jacobi equations that arise from time-independent problems in optimal control theory. The basic method in two dimensions u…
Matrix Completion With Selective Sampling
Christian Parkinson, Kevin Huynh, Deanna Needell
Matrix completion is a classical problem in data science wherein one attempts to reconstruct a low-rank matrix while only observing some subset of the entries. Previous authors hav…
Optimal Human Navigation in Steep Terrain: a Hamilton-Jacobi-Bellman Approach
Christian Parkinson, David Arnold, Andrea L. Bertozzi +2
We present a method for determining optimal walking paths in steep terrain using the level set method and an optimal control formulation. By viewing the walking direction as a cont…