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Understanding how evolutionary algorithms perform on constrained problems has gained increasing attention in recent years. In this paper, we study how evolutionary algorithms optimize constrained versions of the classical LeadingOnes…

Neural and Evolutionary Computing · Computer Science 2023-05-30 Tobias Friedrich , Timo Kötzing , Aneta Neumann , Frank Neumann , Aishwarya Radhakrishnan

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

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

We derive an optimal policy for adaptively restarting a randomized algorithm, based on observed features of the run-so-far, so as to minimize the expected time required for the algorithm to successfully terminate. Given a suitable Bayesian…

Machine Learning · Computer Science 2019-02-25 Matthew Streeter

We consider an unconstrained continuous optimization problem where, in each iteration, gradient estimates may be arbitrarily corrupted with a probability greater than 1/2. Additionally, function value estimates may exhibit heavy-tailed…

Optimization and Control · Mathematics 2025-11-25 Katya Scheinberg , Miaolan Xie

Black-box Large Language Models (LLMs) provide practical and accessible alternatives to other machine learning methods, as they require minimal labeled data and machine learning expertise to develop solutions for various decision making…

Machine Learning · Computer Science 2025-10-22 Ege Beyazit , KL Navaneet , Prashant Mathur , Roi Blanco , Vidit Bansal , Karim Bouyarmane

We show that, for any c>0, the (1+1) evolutionary algorithm using an arbitrary mutation rate p_n = c/n finds the optimum of a linear objective function over bit strings of length n in expected time Theta(n log n). Previously, this was only…

Data Structures and Algorithms · Computer Science 2012-04-20 Benjamin Doerr , Leslie Ann Goldberg

Single-objective black box optimization (also known as zeroth-order optimization) is the process of minimizing a scalar objective $f(x)$, given evaluations at adaptively chosen inputs $x$. In this paper, we consider multi-objective…

Machine Learning · Computer Science 2020-06-11 Daniel Golovin , Qiuyi Zhang

Estimating optimal dynamic policies from offline data is a fundamental problem in dynamic decision making. In the context of causal inference, the problem is known as estimating the optimal dynamic treatment regime. Even though there exists…

Econometrics · Economics 2023-12-15 Qizhao Chen , Morgane Austern , Vasilis Syrgkanis

We present a new method of blackbox optimization via gradient approximation with the use of structured random orthogonal matrices, providing more accurate estimators than baselines and with provable theoretical guarantees. We show that this…

Machine Learning · Computer Science 2018-06-13 Krzysztof Choromanski , Mark Rowland , Vikas Sindhwani , Richard E. Turner , Adrian Weller

In this paper, we build upon previous work on designing informative and efficient Exploratory Landscape Analysis features for characterizing problems' landscapes and show their effectiveness in automatically constructing algorithm selection…

Machine Learning · Statistics 2018-11-30 Pascal Kerschke , Heike Trautmann

We propose a novel adaptive, accelerated algorithm for the stochastic constrained convex optimization setting. Our method, which is inspired by the Mirror-Prox method, \emph{simultaneously} achieves the optimal rates for smooth/non-smooth…

Optimization and Control · Mathematics 2019-10-31 Ali Kavis , Kfir Y. Levy , Francis Bach , Volkan Cevher

We study black-box reductions from mechanism design to algorithm design for welfare maximization in settings of incomplete information. Given oracle access to an algorithm for an underlying optimization problem, the goal is to simulate an…

Computer Science and Game Theory · Computer Science 2019-06-27 Evangelia Gergatsouli , Brendan Lucier , Christos Tzamos

We give a detailed analysis of the cost used by the (1+1)-evolutionary algorithm. The problem has been approached in the evolutionary algorithm literature under various views, formulation and degree of rigor. Our asymptotic approximations…

Probability · Mathematics 2014-09-18 Hsien-Kuei Hwang , Alois Panholzer , Nicolas Rolin , Tsung-Hsi Tsai , Wei-Mei Chen

We introduce several new black-box reductions that significantly improve the design of adaptive and parameter-free online learning algorithms by simplifying analysis, improving regret guarantees, and sometimes even improving runtime. We…

Machine Learning · Computer Science 2018-06-27 Ashok Cutkosky , Francesco Orabona

Submodular maximization is a general optimization problem with a wide range of applications in machine learning (e.g., active learning, clustering, and feature selection). In large-scale optimization, the parallel running time of an…

Data Structures and Algorithms · Computer Science 2023-04-11 Matthew Fahrbach , Vahab Mirrokni , Morteza Zadimoghaddam

While most theoretical run time analyses of discrete randomized search heuristics provide bounds on the expected number of evaluations to find the global optimum, we consider the anytime performance of evolutionary and…

Neural and Evolutionary Computing · Computer Science 2026-04-09 Timo Kötzing , Jurek Sander

Many modern software systems are highly configurable, allowing the user to tune them for performance and more. Current performance modeling approaches aim at finding performance-optimal configurations by building performance models in a…

Software Engineering · Computer Science 2021-02-15 Max Weber , Sven Apel , Norbert Siegmund

Mathematical optimization, although often leading to NP-hard models, is now capable of solving even large-scale instances within reasonable time. However, the primary focus is often placed solely on optimality. This implies that while…

Optimization and Control · Mathematics 2025-12-23 Kevin-Martin Aigner , Marc Goerigk , Michael Hartisch , Frauke Liers , Arthur Miehlich , Florian Rösel

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
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