5 papers
Homeomorphic Sobolev extensions and integrability of hyperbolic metric
Xilin Zhou
Very recently, it was proved that if the hyperbolic metric of a planar Jordan domain is -integrable for some , then every homeomorphic parametrization of the…
Coupling of forward-backward stochastic differential equations on the Wiener space, and application on regularity
Xilin Zhou
S. Geiss and J. Ylinen proposed the coupling method \cite{Geiss:Ylinen:21} to investigate the regularity for the solution to the backward stochastic differential equations with ran…
Regularity of stochastic differential equations on the Wiener space by coupling
Stefan Geiss, Xilin Zhou
Using the coupling method introduced in \cite{Geiss:Ylinen:21}, we investigate regularity properties of stochastic differential equations, where we consider the Lipschitz case in $…
Realistic Extreme Behavior Generation for Improved AV Testing
Robert Dyro, Matthew Foutter, Ruolin Li +4
This work introduces a framework to diagnose the strengths and shortcomings of Autonomous Vehicle (AV) collision avoidance technology with synthetic yet realistic potential collisi…
Performance assessment of ADAS in a representative subset of critical traffic situations
Luigi Di Lillo, Andrea Triscari, Xilin Zhou +3
As a variety of automated collision prevention systems gain presence within personal vehicles, rating and differentiating the automated safety performance of car models has become…