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This paper provides a novel framework for solving multiobjective discrete optimization problems with an arbitrary number of objectives. Our framework formulates these problems as network models, in that enumerating the Pareto frontier…

Optimization and Control · Mathematics 2018-09-06 David Bergman , Merve Bodur , Carlos Cardonha , Andre A. Cire

Optimizing nonlinear systems involving expensive computer experiments with regard to conflicting objectives is a common challenge. When the number of experiments is severely restricted and/or when the number of objectives increases,…

Machine Learning · Statistics 2019-07-16 David Gaudrie , Rodolphe Le Riche , Victor Picheny , Benoit Enaux , Vincent Herbert

Real-world problems are often multi-objective with decision-makers unable to specify a priori which trade-off between the conflicting objectives is preferable. Intuitively, building machine learning solutions in such cases would entail…

Machine Learning · Computer Science 2021-10-20 Timo M. Deist , Monika Grewal , Frank J. W. M. Dankers , Tanja Alderliesten , Peter A. N. Bosman

In engineering practice, it is often necessary to increase the effectiveness of existing protective constructions for ports and coasts (i. e. breakwaters) by extending their configuration, because existing configurations don't provide the…

Neural and Evolutionary Computing · Computer Science 2021-09-09 Nikolay O. Nikitin , Iana S. Polonskaia , Anna V. Kalyuzhnaya , Alexander V. Boukhanovsky

A hybrid framework combining the branch and bound method with multiobjective evolutionary algorithms is proposed for nonconvex multiobjective optimization. The hybridization exploits the complementary character of the two optimization…

Optimization and Control · Mathematics 2022-12-12 Wei-tian Wu , Xin-min Yang

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…

Machine Learning · Computer Science 2025-03-05 Yonathan Efroni , Ben Kretzu , Daniel Jiang , Jalaj Bhandari , Zheqing , Zhu , Karen Ullrich

The rapid advancement of artificial intelligence (AI) technologies presents both unprecedented opportunities and significant challenges for sustainable economic development. While AI offers transformative potential for addressing…

Artificial Intelligence · Computer Science 2026-03-10 Anas ALsobeh , Raneem Alkurdi

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…

Statistical Mechanics · Physics 2015-09-16 Luís F. Seoane , Ricard V. Solé

Supply chain management has been concentrated on productive ways to manage flows through a sophisticated vendor, manufacturer, and consumer networks for decades. Recently, energy and material rates have been greatly consumed to improve the…

Computers and Society · Computer Science 2020-10-12 Ahmad Sobhan Abir , Ishtiaq Ahmed Bhuiyan , Mohammad Arani , Md Mashum Billal

In a wide range of applications it is desirable to optimally control a dynamical system with respect to concurrent, potentially competing goals. This gives rise to a multiobjective optimal control problem where, instead of computing a…

Optimization and Control · Mathematics 2020-12-18 Sebastian Peitz , Sina Ober-Blöbaum , Michael Dellnitz

Multiobjective design optimization problems require multiobjective optimization techniques to solve, and it is often very challenging to obtain high-quality Pareto fronts accurately. In this paper, the recently developed flower pollination…

Optimization and Control · Mathematics 2014-08-25 Xin-She Yang , M. Karamanoglu , X. S. He

A common goal in evolutionary multi-objective optimization is to find suitable finite-size approximations of the Pareto front of a given multi-objective optimization problem. While many multi-objective evolutionary algorithms have proven to…

Neural and Evolutionary Computing · Computer Science 2024-09-26 Hao Wang , Angel E. Rodriguez-Fernandez , Lourdes Uribe , André Deutz , Oziel Cortés-Piña , Oliver Schütze

Multi-objective optimization is central to many engineering and machine learning applications, where multiple objectives must be optimized in balance. While multi-gradient based optimization methods combine these objectives in each step,…

Optimization and Control · Mathematics 2026-05-13 Trang H. Tran , Luis Nunes Vicente

Resource-intensive computations are a major factor that limits the effectiveness of automated machine learning solutions. In the paper, we propose a modular approach that can be used to increase the quality of evolutionary optimization for…

Machine Learning · Computer Science 2023-01-13 Nikolay O. Nikitin , Sergey Teryoshkin , Valerii Pokrovskii , Sergey Pakulin , Denis Nasonov

Optimal Experiment Design for parameter estimation in water networks has been traditionally formulated to maximize either hydraulic model accuracy or spatial coverage. Because a unique sensor configuration that optimizes both objectives may…

Optimization and Control · Mathematics 2023-02-08 Filippo Pecci , Ivan Stoianov

Designing reliable integrated energy systems for industrial processes requires optimization and verification models across multiple fidelities, from architecture-level sizing to high-fidelity dynamic operation. However, model mismatch…

Machine Learning · Computer Science 2026-04-03 Oluwamayowa O. Amusat , Luka Grbcic , Remi Patureau , M. Jibran S. Zuberi , Dan Gunter , Michael Wetter

Optimization under uncertainty is important in many applications, particularly to inform policy and decision making in areas such as public health. A key source of uncertainty arises from the incorporation of environmental variables as…

Methodology · Statistics 2024-10-25 Daria Semochkina , Alexander I. J. Forrester , David C Woods

Achieving both high quality and cost-efficiency are two critical yet often conflicting objectives in manufacturing and maintenance processes. Quality standards vary depending on the specific application, while cost-effectiveness remains a…

Optimization and Control · Mathematics 2025-07-30 Wolfgang Rannetbauer , Simon Hubmer , Carina Hambrock , Ronny Ramlau

Optimization of three-dimensional road alignments is a nonlinear non-convex optimization problem. The development of models that fully optimize a three-dimensional road alignment problem is challenging due to numerous factors involved and…

Optimization and Control · Mathematics 2016-02-04 D. Hirpa , W. Hare , Y. Lucet , Y. Pushak , S. Tesfamariam

The evaluation of fairness models in Machine Learning involves complex challenges, such as defining appropriate metrics, balancing trade-offs between utility and fairness, and there are still gaps in this stage. This work presents a novel…

Machine Learning · Computer Science 2026-03-03 Gökhan Özbulak , Oscar Jimenez-del-Toro , Maíra Fatoretto , Lilian Berton , André Anjos