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eess.SY2022
Convex and Nonconvex Sublinear Regression with Application to Data-driven Learning of Reach Sets
Shadi Haddad, Abhishek Halder
We consider estimating a compact set from finite data by approximating the support function of that set via sublinear regression. Support functions uniquely characterize a compact…
math.OC2022★ 2 cited
A Note on the Hausdorff Distance between Norm Balls and their Linear Maps
Shadi Haddad, Abhishek Halder
We consider the problem of computing the (two-sided) Hausdorff distance between the unit and norm balls in finite dimensional Euclidean space for $1 \…
math.OC2022
Certifying the Intersection of Reach Sets of Integrator Agents with Set-valued Input Uncertainties
Shadi Haddad, Abhishek Halder
We consider the problem of verifying safety for a pair of identical integrator agents in continuous time with compact set-valued input uncertainties. We encode this verification pr…