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Derivative-Free & Order-Robust Optimisation
Proceedings of the Twenty Third International Conference on Artificial Intelligence and Statistics, PMLR 108:2293-2303, 2020.
Abstract
In this paper, we formalise order-robust optimisation as an instance of online learning minimising simple regret, and propose Vroom, a zero’th order optimisation algorithm capable of achieving vanishing regret in non-stationary environments, while recovering favorable rates under stochastic reward-generating processes. Our results are the first to target simple regret definitions in adversarial scenarios unveiling a challenge that has been rarely considered in prior work.