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A common problem, arising in many different applied contexts, consists in estimating the number of exponentially damped sinusoids whose weighted sum best fits a finite set of noisy data and in estimating their parameters. Many different…

Computation · Statistics 2012-09-28 Piero Barone

This work introduces StoMADS, a stochastic variant of the mesh adaptive direct-search (MADS) algorithm originally developed for deterministic blackbox optimization. StoMADS considers the unconstrained optimization of an objective function f…

Optimization and Control · Mathematics 2019-11-05 Charles Audet , Kwassi Joseph Dzahini , Michael Kokkolaras , Sébastien Le Digabel

This work introduces the StoMADS-PB algorithm for constrained stochastic blackbox optimization, which is an extension of the mesh adaptive direct-search (MADS) method originally developed for deterministic blackbox optimization under…

Optimization and Control · Mathematics 2022-07-29 Kwassi Joseph Dzahini , Michael Kokkolaras , Sébastien Le Digabel

This paper is devoted to the study of the solution of a stochastic convex black box optimization problem. Where the black box problem means that the gradient-free oracle only returns the value of objective function, not its gradient. We…

Optimization and Control · Mathematics 2023-04-18 Aleksandr Lobanov

We investigate the convergence properties of a class of iterative algorithms designed to minimize a potentially non-smooth and noisy objective function, which may be algebraically intractable and whose values may be obtained as the output…

Computation · Statistics 2025-12-04 Christophe Andrieu , Nicolas Chopin , Ettore Fincato , Mathieu Gerber

We study the problem of black-box optimization of a noisy function in the presence of low-cost approximations or fidelities, which is motivated by problems like hyper-parameter tuning. In hyper-parameter tuning evaluating the black-box…

Machine Learning · Statistics 2018-10-25 Rajat Sen , Kirthevasan Kandasamy , Sanjay Shakkottai

One way to reduce the time of conducting optimization studies is to evaluate designs in parallel rather than just one-at-a-time. For expensive-to-evaluate black-boxes, batch versions of Bayesian optimization have been proposed. They work by…

Optimization and Control · Mathematics 2023-04-04 Mickael Binois , Nicholson Collier , Jonathan Ozik

We study the problem of black-box optimization of a function f of any dimension, given function evaluations perturbed by noise. The function is assumed to be locally smooth around one of its global optima, but this smoothness is unknown.…

Machine Learning · Statistics 2026-05-05 Jean-Bastien Grill , Michal Valko , Rémi Munos

For safety-critical black-box optimization tasks, observations of the constraints and the objective are often noisy and available only for the feasible points. We propose an approach based on log barriers to find a local solution of a…

Optimization and Control · Mathematics 2021-02-25 Ilnura Usmanova , Andreas Krause , Maryam Kamgarpour

This paper is devoted to the study (common in many applications) of the black-box optimization problem, where the black-box represents a gradient-free oracle $\tilde{f} = f(x) + \xi$ providing the objective function value with some…

Optimization and Control · Mathematics 2024-07-08 Aleksandr Lobanov

Consensus based optimization is a derivative-free particles-based method for the solution of global optimization problems. Several versions of the method have been proposed in the literature, and different convergence results have been…

Optimization and Control · Mathematics 2025-04-04 Stefania Bellavia , Greta Malaspina

In black-box optimization, noise in the objective function is inevitable. Noise disrupts the ranking of candidate solutions in comparison-based optimization, possibly deteriorating the search performance compared with a noiseless scenario.…

Neural and Evolutionary Computing · Computer Science 2024-01-26 Daiki Morinaga , Youhei Akimoto

This article proposes an improved trajectory optimization approach for stochastic optimal control of dynamical systems affected by measurement noise by combining optimal control with maximum likelihood techniques to improve the reduction of…

Systems and Control · Electrical Eng. & Systems 2023-12-25 Prakash Mallick , Zhiyong Chen

In many optimization problems arising from scientific, engineering and artificial intelligence applications, objective and constraint functions are available only as the output of a black-box or simulation oracle that does not provide…

Optimization and Control · Mathematics 2019-08-15 Jeffrey Larson , Matt Menickelly , Stefan M. Wild

We consider ECNoise, a practical tool for estimating the magnitude of noise in evaluations of a black-box function. Recent developments in numerical optimization algorithms have seen increased usage of ECNoise as a subroutine to provide a…

Optimization and Control · Mathematics 2024-01-22 Matt Menickelly

In this work we consider unconstrained optimization problems. The objective function is known through a zeroth order stochastic oracle that gives an estimate of the true objective function. To solve these problems, we propose a…

Optimization and Control · Mathematics 2025-08-04 Alberto De Santis , Giampaolo Liuzzi , Stefano Lucidi

Learned optimizers -- neural networks that are trained to act as optimizers -- have the potential to dramatically accelerate training of machine learning models. However, even when meta-trained across thousands of tasks at huge…

Machine Learning · Computer Science 2022-09-23 James Harrison , Luke Metz , Jascha Sohl-Dickstein

Noisy optimization is the optimization of objective functions corrupted by noise. A portfolio of solvers is a set of solvers equipped with an algorithm selection tool for distributing the computational power among them. Portfolios are…

Optimization and Control · Mathematics 2015-11-05 Marie-Liesse Cauwet , Jialin Liu , Rozière Baptiste , Olivier Teytaud

This paper addresses the challenge of a particular class of noisy state observations in Markov Decision Processes (MDPs), a common issue in various real-world applications. We focus on modeling this uncertainty through a confusion matrix…

Machine Learning · Computer Science 2023-12-15 Amirhossein Afsharrad , Sanjay Lall

Multiobjective blackbox optimization deals with problems where the objective and constraint functions are the outputs of a numerical simulation. In this context, no derivatives are available, nor can they be approximated by finite…

Optimization and Control · Mathematics 2025-04-07 Sébastien Le Digabel , Antoine Lesage-Landry , Ludovic Salomon , Christophe Tribes
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