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Optimization problems have been the subject of statistical physics approximations. A specially relevant and general scenario is provided by optimization methods considering tradeoffs between cost and efficiency, where optimal solutions…

统计力学 · 物理学 2015-09-16 Luís F. Seoane , Ricard V. Solé

This paper studies an entropy-based multi-objective Bayesian optimization (MBO). The entropy search is successful approach to Bayesian optimization. However, for MBO, existing entropy-based methods ignore trade-off among objectives or…

机器学习 · 计算机科学 2020-02-12 Shinya Suzuki , Shion Takeno , Tomoyuki Tamura , Kazuki Shitara , Masayuki Karasuyama

Many complex systems obey to optimality conditions that are usually not simple. Conflicting traits often interact making a Multi Objective Optimization (MOO) approach necessary. Recent MOO research on complex systems report about the Pareto…

物理与社会 · 物理学 2015-09-16 Luís F. Seoane , Ricard Solé

Automated experimentation has the potential to revolutionize scientific discovery, but its effectiveness depends on well-defined optimization targets, which are often uncertain or probabilistic in real-world settings. In this work, we…

机器学习 · 计算机科学 2025-04-10 Yu Liu , Sergei V. Kalinin

Multi-objective optimization is a widely studied problem in diverse fields, such as engineering and finance, that seeks to identify a set of non-dominated solutions that provide optimal trade-offs among competing objectives. However, the…

神经与进化计算 · 计算机科学 2024-01-15 Arash Heidari , Sebastian Rojas Gonzalez , Tom Dhaene , Ivo Couckuyt

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 (BO) is a popular method to optimize expensive black-box functions. It efficiently tunes machine learning algorithms under the implicit assumption that hyperparameter evaluations cost approximately the same. In…

机器学习 · 计算机科学 2020-11-25 Gauthier Guinet , Valerio Perrone , Cédric Archambeau

Optimization of materials performance for specific applications often requires balancing multiple aspects of materials functionality. Even for the cases where generative physical model of material behavior is known and reliable, this often…

A challenge in designing self-assembling building blocks is to ensure the target state is both thermodynamically stable and kinetically accessible. These two objectives are known to be typically in competition, but it is not known how to…

软凝聚态物质 · 物理学 2021-07-01 Anthony Trubiano , Miranda Holmes-Cerfon

The goal of multi-objective optimisation is to identify the Pareto front surface which is the set obtained by connecting the best trade-off points. Typically this surface is computed by evaluating the objectives at different points and then…

机器学习 · 统计学 2024-06-24 Ben Tu , Nikolas Kantas , Robert M. Lee , Behrang Shafei

Pareto Front Learning (PFL) was recently introduced as an effective approach to obtain a mapping function from a given trade-off vector to a solution on the Pareto front, which solves the multi-objective optimization (MOO) problem. Due to…

机器学习 · 计算机科学 2023-05-02 Long P. Hoang , Dung D. Le , Tran Anh Tuan , Tran Ngoc Thang

Thermal machines are physical systems that, when fueled by input energy, perform output tasks such as heat pumping or the production of work. Their performance is characterized with several, often competing quantities, such as power,…

统计力学 · 物理学 2026-03-23 José A. Almanza-Marrero , Édgar Roldán , Gonzalo Manzano

The traditional heat-load generation pattern of combined heat and power generators has become a problem leading to renewable energy source (RES) power curtailment in cold regions, motivating the proposal of a planning model for alternative…

系统与控制 · 电气工程与系统科学 2025-02-17 Ruizhe Yang , Zhongkai Yi , Ying Xu , Guiyu Chen , Haojie Yang , Rong Yi , Tongqing Li , Miaozhe ShenJin Li , Haoxiang Gao , Hongyu Duan

We consider the problem of multi-objective optimization (MOO) of expensive black-box functions with the goal of discovering high-quality and diverse Pareto fronts where we are allowed to evaluate a batch of inputs. This problem arises in…

机器学习 · 计算机科学 2024-06-14 Alaleh Ahmadianshalchi , Syrine Belakaria , Janardhan Rao Doppa

A new method to estimate the Pareto Front (PF) in bi-objective optimization problems is presented. Assuming a continuous PF, the approach, named ROBBO (RObust and Balanced Bi-objective Optimization), needs to sample at most a finite,…

最优化与控制 · 数学 2025-06-24 Roberto Boffadossi , Marco Leonesio , Lorenzo Fagiano

In this study, we propose a novel multi-objective Bayesian optimization (MOBO) method to efficiently identify the Pareto front (PF) defined by risk measures for black-box functions under the presence of input uncertainty (IU). Existing BO…

机器学习 · 统计学 2023-11-27 Yu Inatsu , Shion Takeno , Hiroyuki Hanada , Kazuki Iwata , Ichiro Takeuchi

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

Multiple-objective optimization (MOO) aims to simultaneously optimize multiple conflicting objectives and has found important applications in machine learning, such as minimizing classification loss and discrepancy in treating different…

机器学习 · 计算机科学 2022-09-16 Eric Enouen , Katja Mathesius , Sean Wang , Arielle Carr , Sihong Xie

Multi-objective optimization (MOO) problems require balancing competing objectives, often under constraints. The Pareto optimal solution set defines all possible optimal trade-offs over such objectives. In this work, we present a novel…

机器学习 · 计算机科学 2022-04-19 Soumyajit Gupta , Gurpreet Singh , Raghu Bollapragada , Matthew Lease

Multiobjective optimization (MOO) is prevalent in numerous applications, in which a Pareto front (PF) is constructed to display optima under various preferences. Previous methods commonly utilize the set of Pareto objectives (particles on…

机器学习 · 计算机科学 2024-02-16 Xiaoyuan Zhang , Xi Lin , Yichi Zhang , Yifan Chen , Qingfu Zhang
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