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This paper considers global optimization with a black-box unknown objective function that can be non-convex and non-differentiable. Such a difficult optimization problem arises in many real-world applications, such as parameter tuning in…

Optimization and Control · Mathematics 2016-07-19 Kenji Kawaguchi , Yu Maruyama , Xiaoyu Zheng

Mathematical optimization is one of the cornerstones of modern engineering research and practice. Yet, throughout all application domains, mathematical optimization is, for the most part, considered to be a numerical discipline.…

Optimization and Control · Mathematics 2024-01-09 Adrian Hauswirth , Zhiyu He , Saverio Bolognani , Gabriela Hug , Florian Dörfler

Controller tuning based on black-box optimization allows to automatically tune performance-critical parameters w.r.t. mostly arbitrary high-level closed-loop control objectives. However, a comprehensive benchmark of different black-box…

Systems and Control · Electrical Eng. & Systems 2022-11-07 David Stenger , Dirk Abel

Application domains of Bayesian optimization include optimizing black-box functions or very complex functions. The functions we are interested in describe complex real-world systems applied in industrial settings. Even though they do have…

Machine Learning · Computer Science 2021-06-14 Franz Brauße , Zurab Khasidashvili , Konstantin Korovin

Algorithms for continuous optimization problems have a rich history of design and innovation over the past several decades, in which mathematical analysis of their convergence and complexity properties plays a central role. Besides their…

Optimization and Control · Mathematics 2025-12-03 Stephen J. Wright

We consider the optimization of an uncertain objective over continuous and multi-dimensional decision spaces in problems in which we are only provided with observational data. We propose a novel algorithmic framework that is tractable,…

Machine Learning · Statistics 2018-10-30 Dimitris Bertsimas , Christopher McCord

Design problems in industrial engineering often involve a large number of design variables with multiple objectives, under complex nonlinear constraints. The algorithms for multiobjective problems can be significantly different from the…

Optimization and Control · Mathematics 2013-03-27 Xin-She Yang

We propose a novel Bayesian Optimization approach for black-box functions with an environmental variable whose value determines the tradeoff between evaluation cost and the fidelity of the evaluations. Further, we use a novel approach to…

Machine Learning · Statistics 2018-05-16 Mark McLeod , Michael A. Osborne , Stephen J. Roberts

Mathematical optimization offers highly-effective tools for finding solutions for problems with well-defined goals, notably scheduling. However, optimization solvers are often unexplainable black boxes whose solutions are inaccessible to…

Artificial Intelligence · Computer Science 2019-02-21 Kristijonas Čyras , Dimitrios Letsios , Ruth Misener , Francesca Toni

Bayesian optimization provides an effective method to optimize expensive-to-evaluate black box functions. It has been widely applied to problems in many fields, including notably in computer science, e.g. in machine learning to optimize…

Machine Learning · Computer Science 2025-11-18 Mike Diessner , Joseph O'Connor , Andrew Wynn , Sylvain Laizet , Yu Guan , Kevin Wilson , Richard D. Whalley

Due to the increasing demand for high performance and cost reduction within the framework of complex system design, numerical optimization of computationally costly problems is an increasingly popular topic in most engineering fields. In…

Optimization and Control · Mathematics 2018-06-12 Julien Pelamatti , Loïc Brevault , Mathieu Balesdent , El-Ghazali Talbi , Yannick Guerin

Several constrained optimization problems have been adequately solved over the years thanks to advances in the metaheuristics area. In this paper, we evaluate a novel self-adaptive and auto-constructive metaheuristic called Drone Squadron…

Neural and Evolutionary Computing · Computer Science 2017-08-07 Vinícius Veloso de Melo

Artificial neural networks (ANNs) are used in various applications for data-driven black-box modeling and subsequent optimization. Herein, we present an efficient method for deterministic global optimization of ANN embedded optimization…

Optimization and Control · Mathematics 2018-10-16 Artur M Schweidtmann , Alexander Mitsos

Maximum consensus estimation plays a critically important role in robust fitting problems in computer vision. Currently, the most prevalent algorithms for consensus maximization draw from the class of randomized hypothesize-and-verify…

Computer Vision and Pattern Recognition · Computer Science 2018-10-24 Huu Le , Tat-Jun Chin , Anders Eriksson , Thanh-Toan Do , David Suter

A widely used heuristic for solving stochastic optimization problems is to use a deterministic rolling horizon procedure, which has been modified to handle uncertainty (e.g. buffer stocks, schedule slack). This approach has been criticized…

Optimization and Control · Mathematics 2017-03-16 Raymond T. Perkins , Warren B. Powell

Black-box optimization is increasingly used in engineering design problems where simulation-based evaluations are costly and gradients are unavailable. In this context, the optimization community has largely analyzed algorithm performance…

Neural and Evolutionary Computing · Computer Science 2026-02-06 Iván Olarte Rodríguez , Gokhan Serhat , Mariusz Bujny , Fabian Duddeck , Thomas Bäck , Elena Raponi

This contribution examines optimization problems that involve stochastic dominance constraints. These problems have uncountably many constraints. We develop methods to solve the optimization problem by reducing the constraints to a finite…

Optimization and Control · Mathematics 2025-02-27 Rajmadan Lakshmanan , Alois Pichler , Miloš Kopa

We survey optimization problems that involve the cardinality of variable vectors in constraints or the objective function. We provide a unified viewpoint on the general problem classes and models, and give concrete examples from diverse…

Optimization and Control · Mathematics 2022-08-09 Andreas M. Tillmann , Daniel Bienstock , Andrea Lodi , Alexandra Schwartz

A lot of real-world engineering problems represent dynamicity with nests of nonlinearities due to highly complex network of exponential functions or large number of differential equations interacting together. Such search spaces are…

Neural and Evolutionary Computing · Computer Science 2020-05-07 Mojtaba Moattari , Emad Roshandel , Shima Kamyab , Zohreh Azimifar

This study evaluates the performance of a quantum-classical metaheuristic and a traditional classical mathematical programming solver, applied to two mathematical optimization models for an industry-relevant scheduling problem with…

Quantum Physics · Physics 2025-07-30 Florian Krellner , Abhishek Awasthi , Nico Kraus , Sarah Braun , Michael Poppel , Daniel Porawski