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Mixed-integer nonlinear programs (MINLPs) arise in domains such as energy systems, process engineering, and transportation, and are notoriously difficult to solve at scale due to the interplay of discrete decisions and nonlinear…

Machine Learning · Computer Science 2025-12-16 Bo Tang , Elias B. Khalil , Ján Drgoňa

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

Solving many-objective problems (MaOPs) is still a significant challenge in the multi-objective optimization (MOO) field. One way to measure algorithm performance is through the use of benchmark functions (also called test functions or test…

Neural and Evolutionary Computing · Computer Science 2020-02-13 Ivan Reinaldo Meneghini , Marcos Antonio Alves , António Gaspar-Cunha , Frederico Gadelha Guimarães

We present a new mixed integer formulation for the discrete informative path planning problem in random fields. The objective is to compute a budget constrained path while collecting measurements whose linear estimate results in minimum…

Systems and Control · Electrical Eng. & Systems 2022-04-21 Shamak Dutta , Nils Wilde , Stephen L. Smith

Several algorithms are available in the literature for finding the entire set of Pareto-optimal solutions in MultiObjective Linear Programming (MOLP). However, it has not been proposed so far an interior point algorithm that finds all…

Optimization and Control · Mathematics 2011-12-30 Víctor Blanco , Justo Puerto , Safae El-Haj Ben-Ali

Algorithmic fairness seeks to identify and correct sources of bias in machine learning algorithms. Confoundingly, ensuring fairness often comes at the cost of accuracy. We provide formal tools in this work for reconciling this fundamental…

Machine Learning · Computer Science 2021-11-22 Susan Wei , Marc Niethammer

Sequential decision-making problems with multiple objectives arise naturally in practice and pose unique challenges for research in decision-theoretic planning and learning, which has largely focused on single-objective settings. This…

Artificial Intelligence · Computer Science 2014-02-05 Diederik Marijn Roijers , Peter Vamplew , Shimon Whiteson , Richard Dazeley

We explore how warm-starting strategies can be integrated into scalarization-based approaches for multi-objective optimization in (mixed) integer linear programming. Scalarization methods remain widely used classical techniques to compute…

Optimization and Control · Mathematics 2025-07-30 Stephanie Riedmüller , Janina Zittel , Thorsten Koch

Solving integer optimization problems with large or widely ranged objective coefficients can lead to numerical instability and increased runtimes. When the problem also involves multiple objectives, the impact of the objective coefficients…

Optimization and Control · Mathematics 2025-12-02 Stephanie Riedmüller , Thorsten Koch

Quantum computing is emerging as a new computing resource that could be superior to conventional computing for certain classes of optimization problems. However, in principle, most existing approaches to quantum optimization are intended to…

Optimization and Control · Mathematics 2022-01-21 Chin-Yao Chang , Eric Jones , Yiyun Yao , Peter Graf , Rishabh Jain

Flower pollination algorithm is a new nature-inspired algorithm, based on the characteristics of flowering plants. In this paper, we extend this flower algorithm to solve multi-objective optimization problems in engineering. By using the…

Neural and Evolutionary Computing · Computer Science 2014-04-04 Xin-She Yang , M. Karamanoglu , Xingshi He

Real-world optimization problems often do not just involve multiple objectives but also uncertain parameters. In this case, the goal is to find Pareto-optimal solutions that are robust, i.e., reasonably good under all possible realizations…

Optimization and Control · Mathematics 2023-11-06 Fabian Chlumsky-Harttmann , Marie Schmidt , Anita Schöbel

Many real world applications can be framed as multi-objective optimization problems, where we wish to simultaneously optimize for multiple criteria. Bayesian optimization techniques for the multi-objective setting are pertinent when the…

Machine Learning · Computer Science 2019-06-24 Biswajit Paria , Kirthevasan Kandasamy , Barnabás Póczos

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…

Machine Learning · Computer Science 2024-02-16 Xiaoyuan Zhang , Xi Lin , Yichi Zhang , Yifan Chen , Qingfu Zhang

Pareto front profiling in multi-objective optimization (MOO), i.e., finding a diverse set of Pareto optimal solutions, is challenging, especially with expensive objectives that require training a neural network. Typically, in MOO for neural…

Machine Learning · Computer Science 2025-02-06 Rhea Sanjay Sukthanker , Arber Zela , Benedikt Staffler , Samuel Dooley , Josif Grabocka , Frank Hutter

This paper is motivated by real-life applications of bi-objective optimization. Having many non dominated solutions, one wishes to cluster the Pareto front using Euclidian distances. The p-center problems, both in the discrete and…

Computational Geometry · Computer Science 2019-08-27 Nicolas Dupin , Frank Nielsen , El-Ghazali Talbi

This work considers a multiobjective version of the unit commitment problem that deals with finding the optimal generation schedule of a firm, over a period of time and a given electrical network. With growing importance of environmental…

Optimization and Control · Mathematics 2025-01-14 Ece Tevruez , Aswin Kannan

A multi-condition multi-objective optimization method that can find Pareto front over a defined condition space is developed for the first time using deep reinforcement learning. Unlike the conventional methods which perform optimization at…

Machine Learning · Computer Science 2022-05-25 Sejin Kim , Innyoung Kim , Donghyun You

In this paper, we deal with the Front Steepest Descent algorithm for multi-objective optimization. We point out that the algorithm from the literature is often incapable, by design, of spanning large portions of the Pareto front. We thus…

Optimization and Control · Mathematics 2023-03-17 Matteo Lapucci , Pierluigi Mansueto

In the present article we propose a mixed-integer approximation of adjustable-robust optimization (ARO) problems, that have both, continuous and discrete variables on the lowest level. As these trilevel problems are notoriously hard to…

Optimization and Control · Mathematics 2023-10-11 Jan Kronqvist , Boda Li , Jan Rolfes