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We consider problems with multiple linear objectives and linear constraints and use Adjustable Robust Optimization and Polynomial Optimization as tools to approximate the Pareto set with polynomials of arbitrarily large degree. The main…

最优化与控制 · 数学 2015-01-13 Bram L. Gorissen , Dick den Hertog

Black box optimization requires specifying a search space to explore for solutions, e.g. a d-dimensional compact space, and this choice is critical for getting the best results at a reasonable budget. Unfortunately, determining a high…

机器学习 · 计算机科学 2021-12-20 Setareh Ariafar , Justin Gilmer , Zachary Nado , Jasper Snoek , Rodolphe Jenatton , George E. Dahl

The selection of the most appropriate algorithm to solve a given problem instance, known as algorithm selection, is driven by the potential to capitalize on the complementary performance of different algorithms across sets of problem…

机器学习 · 计算机科学 2024-06-12 Gjorgjina Cenikj , Ana Nikolikj , Gašper Petelin , Niki van Stein , Carola Doerr , Tome Eftimov

Quadratic unconstrained binary optimization (QUBO) solvers can be applied to design an optimal structure to avoid resonance. QUBO algorithms that work on a classical or quantum device have succeeded in some industrial applications. However,…

介观与纳米尺度物理 · 物理学 2022-09-29 Tadayoshi Matsumori , Masato Taki , Tadashi Kadowaki

An important benefit of multi-objective search is that it maintains a diverse population of candidates, which helps in deceptive problems in particular. Not all diversity is useful, however: candidates that optimize only one objective while…

神经与进化计算 · 计算机科学 2019-08-06 Hormoz Shahrzad , Babak Hodjat , Camille Dollé , Andrei Denissov , Simon Lau , Donn Goodhew , Justin Dyer , Risto Miikkulainen

Black-Box Optimization (BBO) has found successful applications in many fields of science and engineering. Recently, there has been a growing interest in meta-learning particular components of BBO algorithms to speed up optimization and get…

机器学习 · 计算机科学 2024-11-04 Lei Song , Chenxiao Gao , Ke Xue , Chenyang Wu , Dong Li , Jianye Hao , Zongzhang Zhang , Chao Qian

We introduce COCO, an open source platform for Comparing Continuous Optimizers in a black-box setting. COCO aims at automatizing the tedious and repetitive task of benchmarking numerical optimization algorithms to the greatest possible…

人工智能 · 计算机科学 2020-09-10 Nikolaus Hansen , Anne Auger , Raymond Ros , Olaf Mersmann , Tea Tušar , Dimo Brockhoff

We consider the problem of optimizing the sum of a smooth, nonconvex function for which derivatives are unavailable, and a convex, nonsmooth function with easy-to-evaluate proximal operator. Of particular focus is the case where the smooth…

最优化与控制 · 数学 2024-07-23 Yanjun Liu , Kevin H. Lam , Lindon Roberts

We consider apictorial edge-matching puzzles, in which the goal is to arrange a collection of puzzle pieces with colored edges so that the colors match along the edges of adjacent pieces. We devise an algebraic representation for this…

计算机视觉与模式识别 · 计算机科学 2015-07-30 Shahar Z. Kovalsky , Daniel Glasner , Ronen Basri

We introduce kernel-QA, a black-box optimization (BBO) method that constructs surrogate models analytically using low-order polynomial kernels within a quadratic unconstrained binary optimization (QUBO) framework, enabling efficient…

最优化与控制 · 数学 2025-11-07 Yuki Minamoto , Yuya Sakamoto

This paper reviews the state-of-the-art model-based adaptive sampling approaches for single-objective black-box optimization (BBO). While BBO literature includes various promising sampling techniques, there is still a lack of comprehensive…

最优化与控制 · 数学 2022-04-25 Nazanin Nezami , Hadis Anahideh

A novel multiscale consensus-based optimization (CBO) algorithm for solving bi- and tri-level optimization problems is introduced. Existing CBO techniques are generalized by the proposed method through the employment of multiple interacting…

最优化与控制 · 数学 2025-06-23 Michael Herty , Yuyang Huang , Dante Kalise , Hicham Kouhkouh

The present study aimed to solve the cure optimization problem of laminated composites through a statistical approach. The approach consisted of using constrained Bayesian Optimization (cBO) along with a Gaussian process model as a…

应用统计 · 统计学 2025-06-02 Madhura Limaye , Yezhuo Li , Qiong Zhang , Gang Li

In this paper we introduce an open-source software package written in C++ for efficiently finding solutions to quadratic programming problems with linear complementarity constraints. These problems arise in a wide range of applications in…

最优化与控制 · 数学 2025-02-18 Jonas Hall , Armin Nurkanovic , Florian Messerer , Moritz Diehl

Optimization of high-dimensional black-box functions is an extremely challenging problem. While Bayesian optimization has emerged as a popular approach for optimizing black-box functions, its applicability has been limited to…

机器学习 · 统计学 2018-08-06 Zi Wang , Chengtao Li , Stefanie Jegelka , Pushmeet Kohli

We propose to use Bayesian optimization (BO) to improve the efficiency of the design selection process in clinical trials. BO is a method to optimize expensive black-box functions, by using a regression as a surrogate to guide the search.…

统计方法学 · 统计学 2021-05-20 Jakob Richter , Tim Friede , Jörg Rahnenführer

The growing ubiquity of machine learning (ML) has led it to enter various areas of computer science, including black-box optimization (BBO). Recent research is particularly concerned with Bayesian optimization (BO). BO-based algorithms are…

机器学习 · 计算机科学 2024-01-04 Elena Raponi , Nathanael Rakotonirina Carraz , Jérémy Rapin , Carola Doerr , Olivier Teytaud

Classical penalty methods solve a sequence of unconstrained problems that put greater and greater stress on meeting the constraints. In the limit as the penalty constant tends to $\infty$, one recovers the constrained solution. In the exact…

数值分析 · 数学 2012-01-18 Hua Zhou , Kenneth Lange

Population-based evolutionary algorithms are often considered when approaching computationally expensive black-box optimization problems. They employ a selection mechanism to choose the best solutions from a given population after comparing…

神经与进化计算 · 计算机科学 2024-01-30 Judith Echevarrieta , Etor Arza , Aritz Pérez

In recent years, there has been significant research interest in solving Quadratic Unconstrained Binary Optimisation (QUBO) problems. Physics-inspired optimisation algorithms have been proposed for deriving optimal or sub-optimal solutions…

人工智能 · 计算机科学 2023-09-12 Mayowa Ayodele , Richard Allmendinger , Manuel López-Ibáñez , Matthieu Parizy