# A gradient estimator via L1-randomization for online zero-order optimization with two point feedback

@inproceedings{Akhavan2022AGE, title={A gradient estimator via L1-randomization for online zero-order optimization with two point feedback}, author={Arya Akhavan and Evgenii Chzhen and Massimiliano Pontil and A. Tsybakov}, year={2022} }

This work studies online zero-order optimization of convex and Lipschitz functions. We present a novel gradient estimator based on two function evaluations and randomization on the (cid:96) 1 -sphere. Considering different geometries of feasible sets and Lipschitz assumptions we analyse online dual averaging algorithm with our estimator in place of the usual gradient. We consider two types of assumptions on the noise of the zero-order oracle: canceling noise and adversarial noise. We provide an…

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