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20202026
most citedExploiting Higher Order Smoothness in Derivative-free Optimization and Continuous Bandits

18 citations · 34 across the 10 of their papers we have counts for

collaborators

10 papers

math.OC2026

Sharp Optimal Algorithm for Derivative-Free Stochastic Convex Optimization in One Dimension

Alexandra Carpentier, Chloé Rouyer, Alexandre Tsybakov +1

Stochastic convex optimization is a classical problem with well-understood guarantees under first-order feedback. In contrast, for zero-order optimization with noisy function evalu…

math.ST2026

Gradient-free stochastic optimization of derivatives under strong convexity

Arya Akhavan, Sirine Louati, Alexandre B. Tsybakov

We consider the problem of minimizing the -th order partial derivative of an unknown function along a fixed coordinate direction , based on noisy queri…

stat.ML2025

Gradient-free stochastic optimization for additive models

Arya Akhavan, Alexandre B. Tsybakov

We address the problem of zero-order optimization from noisy observations for an objective function satisfying the Polyak-Łojasiewicz or the strong convexity condition. Additionall…

stat.ML2024

A conversion theorem and minimax optimality for continuum contextual bandits

Arya Akhavan, Karim Lounici, Massimiliano Pontil +1

We study the contextual continuum bandits problem, where the learner sequentially receives a side information vector and has to choose an action in a convex set, minimizing a funct…

math.ST2023★ 5 cited

Gradient-free optimization of highly smooth functions: improved analysis and a new algorithm

Arya Akhavan, Evgenii Chzhen, Massimiliano Pontil +1

This work studies minimization problems with zero-order noisy oracle information under the assumption that the objective function is highly smooth and possibly satisfies additional…

math.ST2022

Estimating the minimizer and the minimum value of a regression function under passive design

Arya Akhavan, Davit Gogolashvili, Alexandre B. Tsybakov

We propose a new method for estimating the minimizer and the minimum value of a smooth and strongly convex regression function from the observations co…

stat.ML2022★ 2 cited

Group Meritocratic Fairness in Linear Contextual Bandits

Riccardo Grazzi, Arya Akhavan, John Isak Texas Falk +2

We study the linear contextual bandit problem where an agent has to select one candidate from a pool and each candidate belongs to a sensitive group. In this setting, candidates' r…

math.ST2022★ 4 cited

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

Arya Akhavan, Evgenii Chzhen, Massimiliano Pontil +1

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…

math.OC2021★ 5 cited

Distributed Zero-Order Optimization under Adversarial Noise

Arya Akhavan, Massimiliano Pontil, Alexandre B. Tsybakov

We study the problem of distributed zero-order optimization for a class of strongly convex functions. They are formed by the average of local objectives, associated to different no…

cs.LG2020★ 18 cited

Exploiting Higher Order Smoothness in Derivative-free Optimization and Continuous Bandits

Arya Akhavan, Massimiliano Pontil, Alexandre B. Tsybakov

We study the problem of zero-order optimization of a strongly convex function. The goal is to find the minimizer of the function by a sequential exploration of its values, under me…