10 papers
Semi-Explicit Solutions to the Prying-Pedestrian Surveillance-Evasion Differential Game and Extensions to Two Pursuers
Philipp Braun, Daniel Coutinho, Timothy L. Molloy +1
In [1], the authors recently proposed and solved a surveillance-evasion differential game in which an agile pursuer (the prying pedestrian) seeks to remain within a given surveilla…
Solving the Offline and Online Min-Max Problem of Non-smooth Submodular-Concave Functions: A Zeroth-Order Approach
Amir Ali Farzin, Yuen-Man Pun, Philipp Braun +2
We consider max-min and min-max problems with objective functions that are possibly non-smooth, submodular with respect to the minimiser and concave with respect to the maximiser.…
From open-loop representations to closed-loop feedback implementations in differential games: A numerical case study
Philipp Braun, Timothy L. Molloy, Gal Barkai +1
Solutions to pursuit-evasion and surveillance-evasion differential games are typically computed and expressed using open-loop representations, with the synthesis of feedback strate…
From Cursed to Competitive: Closing the ZO-FO Gap via Input-to-State Stability
Amir Ali Farzin, Philipp Braun, Iman Shames
While it is generally understood that zeroth-order (ZO) algorithms have an extra dependency on their number of iterations for any choice of parameters, compared to their first-orde…
On the Stability Connection Between Discrete-Time Algorithms and Their Resolution ODEs: Applications to Min-Max Optimisation
Amir Ali Farzin, Yuen-Man Pun, Philipp Braun +1
This work establishes a rigorous connection between stability properties of discrete-time algorithms (DTAs) and corresponding continuous-time dynamical systems derived through $ O(…
Minimisation of Submodular Functions Using Gaussian Zeroth-Order Random Oracles
Amir Ali Farzin, Yuen-Man Pun, Philipp Braun +2
We consider the minimisation problem of submodular functions and investigate the application of a zeroth-order method to this problem. The method is based on exploiting a Gaussian…