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In multiobjective optimization, the result of an optimization algorithm is a set of efficient solutions from which the decision maker selects one. It is common that not all the efficient solutions can be computed in a short time and the…

神经与进化计算 · 计算机科学 2024-03-20 Miguel Ángel Domínguez-Ríos , Francisco Chicano , Enrique Alba

This paper gives a concise overview of evolutionary algorithms for multiobjective optimization. A substantial number of evolutionary computation methods for multiobjective problem solving has been proposed so far, and an attempt of unifying…

组合数学 · 数学 2009-04-21 Arnaud Liefooghe , Laetitia Jourdan , El-Ghazali Talbi

Bayesian optimization is an effective method for optimizing expensive-to-evaluate black-box functions. High-dimensional problems are particularly challenging as the surrogate model of the objective suffers from the curse of dimensionality,…

机器学习 · 计算机科学 2023-10-06 Erik Orm Hellsten , Carl Hvarfner , Leonard Papenmeier , Luigi Nardi

This thesis focuses on Bayesian optimization with the improvements coming from two aspects:(i) the use of derivative information to accelerate the optimization convergence; and (ii) the consideration of scalable GPs for handling massive…

机器学习 · 计算机科学 2024-12-09 Ang Yang

Optimisation problems often have multiple conflicting objectives that can be computationally and/or financially expensive. Mono-surrogate Bayesian optimisation (BO) is a popular model-based approach for optimising such black-box functions.…

机器学习 · 计算机科学 2022-08-11 George De Ath , Tinkle Chugh , Alma A. M. Rahat

In the pursuit of designing safer and more efficient energy-absorbing structures, engineers must tackle the challenge of improving crush performance while balancing multiple conflicting objectives, such as maximising energy absorption and…

材料科学 · 物理学 2025-02-25 Hirak Kansara , Siamak F. Khosroshahi , Leo Guo , Miguel A. Bessa , Wei Tan

Classical evolutionary approaches for multiobjective optimization are quite accurate but incur a lot of queries to the objectives; this can be prohibitive when objectives are expensive oracles. A sample-efficient approach to solving…

最优化与控制 · 数学 2025-02-18 Ashwin Renganathan , Kade E. Carlson

In many important design problems, some decisions should be made by finding the global optimum of a multiextremal objective function subject to a set of constrains. Frequently, especially in engineering applications, the functions involved…

最优化与控制 · 数学 2015-09-17 Dmitri E. Kvasov , Yaroslav D. Sergeyev

According to the published papers and books since the turn of the century, Pareto optimization is the dominating assessment method for multi-objective nonlinear optimization problems treated by population-based optimizers like Evolutionary…

神经与进化计算 · 计算机科学 2022-03-08 Wilfried Jakob , Christian Blume

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…

最优化与控制 · 数学 2013-03-27 Xin-She Yang

We study rational synthesis problems for concurrent games with omega-regular objectives. Our model of rationality considers only pure strategy Nash equilibria that satisfy either a social welfare or Pareto optimality condition with respect…

计算机科学与博弈论 · 计算机科学 2025-09-23 Purandar Bhaduri

We study $n$-agent Bayesian Games with $m$-dimensional vector types and linear payoffs, also called Linear Multidimensional Bayesian Games. This class of games is equivalent with $n$-agent, $m$-game Uniform Multigames. We distinguish…

计算机科学与博弈论 · 计算机科学 2023-10-24 Sébastien Huot , Abbas Edalat

The optimal assignment of Large Language Models (LLMs) to specialized roles in multi-agent systems is a significant challenge, defined by a vast combinatorial search space, expensive black-box evaluations, and an inherent trade-off between…

多智能体系统 · 计算机科学 2025-11-18 Antonio Sabbatella

Fitness landscape analysis investigates features with a high influence on the performance of optimization algorithms, aiming to take advantage of the addressed problem characteristics. In this work, a fitness landscape analysis using…

In this work, we consider multiobjective optimization problems with both bound constraints on the variables and general nonlinear constraints, where objective and constraint function values can only be obtained by querying a black box.…

最优化与控制 · 数学 2022-04-15 Giampaolo Liuzzi , Stefano Lucidi

Bayesian optimization (BO) is an efficient method to optimize expensive black-box functions. It has been generalized to scenarios where objective function evaluations return stochastic binary feedback, such as success/failure in a given…

机器学习 · 统计学 2021-11-08 Tristan Fauvel , Matthew Chalk

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

Optimization problems with uncertain black-box constraints, modeled by warped Gaussian processes, have recently been considered in the Bayesian optimization setting. This work introduces a new class of constraints in which the same…

最优化与控制 · 数学 2020-06-16 Johannes Wiebe , Inês Cecílio , Jonathan Dunlop , Ruth Misener

Multi-objective optimization aims to solve problems with competing objectives. Evaluating such problems is often slow or expensive, limiting the budget of evaluations. In many applications, historical data from related optimization tasks is…

机器学习 · 计算机科学 2026-05-12 Leonard Papenmeier , Petru Tighineanu

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…

机器学习 · 计算机科学 2024-06-07 Ke Xue , Rong-Xi Tan , Xiaobin Huang , Chao Qian