9 papers
Finite-Sum Realization of Archimedean Asai and Exterior-Square -Factors
Yeongseong Jo, Akash Yadav
We prove that the archimedean Asai -factor attached to an irreducible generic representation of can be expressed as a finite sum of Flicker loc…
Truncated Differentiation Through Primal-Dual Solvers for Inverse Potential Mean-Field Games
Siting Liu, Yat Tin Chow, Samy Wu Fung
We study inverse potential mean-field games (MFGs), in which an unknown spatial inverse-cost (mobility) map is inferred from observed population densities. We solve the forward MFG…
A notion of fractality for a class of states and noncommutative relative distance zeta functional
Yat Tin Chow
In this work, we first recall the definition of the relative distance zeta function in [42, 43, 44, 46, 47] and slightly generalize this notion from sets to probability measures, a…
State-Augmented Linear Games with Antagonistic Error for High-Dimensional, Nonlinear Hamilton-Jacobi Reachability
Will Sharpless, Yat Tin Chow, Sylvia Herbert
Hamilton-Jacobi Reachability (HJR) is a popular method for analyzing the liveness and safety of a dynamical system with bounded control and disturbance. The corresponding HJ value…
Conservative Linear Envelopes for Nonlinear, High-Dimensional, Hamilton-Jacobi Reachability
Will Sharpless, Yat Tin Chow, Sylvia Herbert
Hamilton-Jacobi reachability (HJR) provides a value function that encodes the set of states from which a system with bounded control inputs can reach or avoid a target despite any…
Koopman-Hopf Hamilton-Jacobi Reachability and Control
Will Sharpless, Nikhil Shinde, Matthew Kim +2
The Hopf formula for Hamilton-Jacobi reachability (HJR) analysis has been proposed to solve high-dimensional differential games, producing the set of initial states and correspondi…