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Optimizing a set of functions simultaneously by leveraging their similarity is called multi-task optimization. Current black-box multi-task algorithms only solve a finite set of tasks, even when the tasks originate from a continuous space.…

Neural and Evolutionary Computing · Computer Science 2024-04-05 Timothée Anne , Jean-Baptiste Mouret

We consider quantile optimization of black-box functions that are estimated with noise. We propose two new iterative three-timescale local search algorithms. The first algorithm uses an appropriately modified finite-difference-based…

Optimization and Control · Mathematics 2023-08-16 Jiaqiao Hu , Meichen Song , Michael C. Fu

We propose a new algorithm to the problem of polygonal curve approximation based on a multiresolution approach. This algorithm is suboptimal but still maintains some optimality between successive levels of resolution using dynamic…

Computer Vision and Pattern Recognition · Computer Science 2007-05-23 Pierre-François Marteau , Gilbas Ménier

Finding diverse solutions to optimization problems has been of practical interest for several decades, and recently enjoyed increasing attention in research. While submodular optimization has been rigorously studied in many fields, its…

Data Structures and Algorithms · Computer Science 2023-07-18 Anh Viet Do , Mingyu Guo , Aneta Neumann , Frank Neumann

Offline optimization aims to maximize a black-box objective function with a static dataset and has wide applications. In addition to the objective function being black-box and expensive to evaluate, numerous complex real-world problems…

Machine Learning · Computer Science 2024-06-07 Ke Xue , Rong-Xi Tan , Xiaobin Huang , Chao Qian

Black-box optimization is essential for tuning complex machine learning algorithms which are easier to experiment with than to understand. In this paper, we show that a simple ensemble of black-box optimization algorithms can outperform any…

Machine Learning · Computer Science 2021-08-03 Jiwei Liu , Bojan Tunguz , Gilberto Titericz

Many combinatorial optimization problems entail a number of hierarchically dependent optimization problems. An often used solution is to associate a suitably large cost with each individual optimization problem, such that the solution of…

Logic in Computer Science · Computer Science 2009-04-02 Josep Argelich , Ines Lynce , Joao Marques-Silva

We propose a new approach to the computation of the hypervolume indicator, based on partitioning the dominated region into a set of axis-parallel hyperrectangles or boxes. We present a nonincremental algorithm and an incremental algorithm,…

Discrete Mathematics · Computer Science 2015-10-09 Renaud Lacour , Kathrin Klamroth , Carlos M. Fonseca

Linear algebraic expressions are the essence of many computationally intensive problems, including scientific simulations and machine learning applications. However, translating high-level formulations of these expressions to efficient…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-03-22 Dániel Berényi , András Leitereg , Gábor Lehel

In the field of multi-objective optimization algorithms, multi-objective Bayesian Global Optimization (MOBGO) is an important branch, in addition to evolutionary multi-objective optimization algorithms (EMOAs). MOBGO utilizes Gaussian…

Machine Learning · Computer Science 2019-06-14 Kaifeng Yang , Michael Emmerich , André Deutz , Thomas Bäck

A strongly polynomial algorithm is given for the generalized flow maximization problem. It uses a new variant of the scaling technique, called continuous scaling. The main measure of progress is that within a strongly polynomial number of…

Data Structures and Algorithms · Computer Science 2016-03-01 László A. Végh

This paper presents an optimization-based receding horizon trajectory planning algorithm for dynamical systems operating in unstructured and cluttered environments. The proposed approach is a two-step procedure that uses a motion planning…

Optimization and Control · Mathematics 2019-12-12 Kristoffer Bergman , Oskar Ljungqvist , Torkel Glad , Daniel Axehill

The $\lambda$-superposition calculus is a successful approach to proving higher-order formulas. However, some parts of the calculus are extremely explosive, notably due to the higher-order unifier enumeration and the functional…

Logic in Computer Science · Computer Science 2025-10-22 Alexander Bentkamp , Jasmin Blanchette , Matthias Hetzenberger , Uwe Waldmann

In this paper, a new python package (optipoly) is described that solves box-constrained optimization problem over multivariate polynomial cost functions. The principle of the algorithm is described before its performance is compared to…

Computational Engineering, Finance, and Science · Computer Science 2025-03-27 Mazen Alamir

This paper introduces a new method of partitioning the solution space of a multi-objective optimisation problem for parallel processing, called Efficient Projection Partitioning. This method projects solutions down into a single dimension,…

Optimization and Control · Mathematics 2017-11-23 William Pettersson , Melih Ozlen

Practical optimization problems may contain different kinds of difficulties that are often not tractable if one relies on a particular optimization method. Different optimization approaches offer different strengths that are good at…

Neural and Evolutionary Computing · Computer Science 2024-07-08 Ankur Sinha , Dhaval Pujara , Hemant Kumar Singh

In this paper, we consider the problem of black box continuous submodular maximization where we only have access to the function values and no information about the derivatives is provided. For a monotone and continuous DR-submodular…

Machine Learning · Computer Science 2020-03-03 Lin Chen , Mingrui Zhang , Hamed Hassani , Amin Karbasi

The optimization of high-dimensional black-box functions is a challenging problem. When a low-dimensional linear embedding structure can be assumed, existing Bayesian optimization (BO) methods often transform the original problem into…

Machine Learning · Statistics 2022-11-03 Shuhei A. Horiguchi , Tomoharu Iwata , Taku Tsuzuki , Yosuke Ozawa

Perspective functions arise explicitly or implicitly in various forms in applied mathematics and in statistical data analysis. To date, no systematic strategy is available to solve the associated, typically nonsmooth, optimization problems.…

Optimization and Control · Mathematics 2016-12-15 Patrick L. Combettes , Christian L. Müller

Parallel black box optimization consists in estimating the optimum of a function using $\lambda$ parallel evaluations of $f$. Averaging the $\mu$ best individuals among the $\lambda$ evaluations is known to provide better estimates of the…

Optimization and Control · Mathematics 2021-08-11 Laurent Meunier , Iskander Legheraba , Yann Chevaleyre , Olivier Teytaud