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We propose a model of Pareto optimization (multi-objective programming) in the context of a categorical theory of resources. We describe how to adapt multi-objective swarm intelligence algorithms to this categorical formulation.

范畴论 · 数学 2022-04-27 Matilde Marcolli

In this paper, we deal with batch Bayesian Optimization (Bayes-Opt) problems over a box and we propose a novel bi-objective optimization (BOO) acquisition strategy to sample points where to evaluate the objective function. The BOO problem…

最优化与控制 · 数学 2025-05-27 Francesco Carciaghi , Simone Magistri , Pierluigi Mansueto , Fabio Schoen

Bayesian optimization is a sequential method for minimizing objective functions that are expensive to evaluate and about which few assumptions can be made. By using all gathered data to train a Gaussian process model for the function and…

机器学习 · 计算机科学 2026-05-07 Jesse Schneider , William J. Welch

Many packing, scheduling and covering problems that were previously considered by computer science literature in the context of various transportation and production problems, appear also suitable for describing and modeling various…

计算机科学与博弈论 · 计算机科学 2015-03-19 Elena Kleiman

Bayesian optimization (BO) is a powerful framework to optimize black-box expensive-to-evaluate functions via sequential interactions. In several important problems (e.g. drug discovery, circuit design, neural architecture search, etc.),…

机器学习 · 计算机科学 2025-02-25 Melis Ilayda Bal , Pier Giuseppe Sessa , Mojmir Mutny , Andreas Krause

In multi-objective optimization, a single decision vector must balance the trade-offs between many objectives. Solutions achieving an optimal trade-off are said to be Pareto optimal: these are decision vectors for which improving any one…

最优化与控制 · 数学 2023-08-07 Abhishek Roy , Geelon So , Yi-An Ma

Bayesian optimization is a sample-efficient method for solving expensive, black-box optimization problems. Stochastic programming concerns optimization under uncertainty where, typically, average performance is the quantity of interest. In…

机器学习 · 统计学 2025-02-19 Jack M. Buckingham , Ivo Couckuyt , Juergen Branke

The multi-objective optimization is to optimize several objective functions over a common feasible set. Since the objectives usually do not share a common optimizer, people often consider (weakly) Pareto points. This paper studies…

最优化与控制 · 数学 2023-12-05 Jiawang Nie , Zi Yang

When solving large-scale multiobjective optimization problems, solvers can get stuck with the memory or time limit. In such cases, one is left with no information how far is the best feasible solution, found before the optimization process…

最优化与控制 · 数学 2017-11-13 Ignacy Kaliszewski

The engineering of machine learning systems is still a nascent field; relying on a seemingly daunting collection of quickly evolving tools and best practices. It is our hope that this guidebook will serve as a useful resource for machine…

机器学习 · 计算机科学 2016-12-16 Ian Dewancker , Michael McCourt , Scott Clark

There are a lot of real-world black-box optimization problems that need to optimize multiple criteria simultaneously. However, in a multi-objective optimization (MOO) problem, identifying the whole Pareto front requires the prohibitive…

Bayesian optimization has emerged at the forefront of expensive black-box optimization due to its data efficiency. Recent years have witnessed a proliferation of studies on the development of new Bayesian optimization algorithms and their…

机器学习 · 计算机科学 2022-11-14 Xilu Wang , Yaochu Jin , Sebastian Schmitt , Markus Olhofer

Multiobjective simulation optimization (MOSO) problems are optimization problems with multiple conflicting objectives, where evaluation of at least one of the objectives depends on a black-box numerical code or real-world experiment, which…

最优化与控制 · 数学 2025-01-13 Tyler H. Chang , Stefan M. Wild

Optimizing multiple, non-preferential objectives for mixed-variable, expensive black-box problems is important in many areas of engineering and science. The expensive, noisy, black-box nature of these problems makes them ideal candidates…

机器学习 · 计算机科学 2022-11-15 Haris Moazam Sheikh , Philip S. Marcus

Bayesian optimization (BO) is a popular approach for sample-efficient optimization of black-box objective functions. While BO has been successfully applied to a wide range of scientific applications, traditional approaches to…

机器学习 · 计算机科学 2023-05-04 Natalie Maus , Kaiwen Wu , David Eriksson , Jacob Gardner

The difficulty of solving a multi-objective optimization problem is impacted by the number of objectives to be optimized. The presence of many objectives typically introduces a number of challenges that affect the choice/design of…

人工智能 · 计算机科学 2021-06-08 Richard Allmendinger , Andrzej Jaszkiewicz , Arnaud Liefooghe , Christiane Tammer

A significant aspect of the study of quantum strategies is the exploration of the game-theoretic solution concept of the Nash equilibrium in relation to the quantization of a game. Pareto optimality is a refinement on the set of Nash…

量子物理 · 物理学 2015-06-08 Azhar Iqbal , James M. Chappell , Derek Abbott

To date, the multi-objective optimization literature has mainly focused on conflicting objectives, studying the Pareto front, or requiring users to balance tradeoffs. Yet, in machine learning practice, there are many scenarios where such…

机器学习 · 计算机科学 2025-03-05 Yonathan Efroni , Ben Kretzu , Daniel Jiang , Jalaj Bhandari , Zheqing , Zhu , Karen Ullrich

The goal of multi-objective optimisation is to identify a collection of points which describe the best possible trade-offs between the multiple objectives. In order to solve this vector-valued optimisation problem, practitioners often…

最优化与控制 · 数学 2025-05-09 Ben Tu , Nikolas Kantas , Robert M. Lee , Behrang Shafei

Bayesian optimization (BO) is a framework for global optimization of expensive-to-evaluate objective functions. Classical BO methods assume that the objective function is a black box. However, internal information about objective function…

机器学习 · 计算机科学 2022-01-04 Raul Astudillo , Peter I. Frazier