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Many-objective optimisation, a subset of multi-objective optimisation, involves optimisation problems with more than three objectives. As the number of objectives increases, the number of solutions needed to adequately represent the entire…

Artificial Intelligence · Computer Science 2026-04-13 Chao Jiang , Jingyu Huang , Miqing Li

Recently, it has been shown that the enumeration of Minimal Correction Subsets (MCS) of Boolean formulas allows solving Multi-Objective Boolean Optimization (MOBO) formulations. However, a major drawback of this approach is that most MCSs…

Artificial Intelligence · Computer Science 2022-04-15 Andreia P. Guerreiro , João Cortes , Daniel Vanderpooten , Cristina Bazgan , Inês Lynce , Vasco Manquinho , José Rui Figueira

Constrained single-objective problems have been frequently tackled by evolutionary multi-objective algorithms where the constraint is relaxed into an additional objective. Recently, it has been shown that Pareto optimization approaches…

Neural and Evolutionary Computing · Computer Science 2024-06-10 Frank Neumann , Carsten Witt

In goal-oriented requirement engineering, boundary conditions(BC) are used to capture the divergence of goals, i.e., goals cannot be satisfied as a whole in some circumstances. As the goals are formally described by temporal logic, solving…

Software Engineering · Computer Science 2022-03-28 Yechuan Xia , Jianwen Li , Shengping Xiao , Weikai Miao , Geguang Pu

As optimization challenges continue to evolve, so too must our tools and understanding. To effectively assess, validate, and compare optimization algorithms, it is crucial to use a benchmark test suite that encompasses a diverse range of…

Neural and Evolutionary Computing · Computer Science 2025-11-18 Amir H. Gandomi , Mohammad Nabi Omidvar , Rohit Salgotra , Kalyanmoy Deb

Despite the abundance of benchmark problems for optimization algorithms, there is a notable scarcity of such problems in multidisciplinary design optimization (MDO). To address this gap, we introduce a novel methodology that enables the…

Optimization and Control · Mathematics 2025-12-23 Matthias De Lozzo , Olivier Roustant , Amine Aziz-Alaoui

One key challenge in optimization is the selection of a suitable set of benchmark problems. A common goal is to find functions which are representative of a class of real-world optimization problems in order to ensure findings on the…

Neural and Evolutionary Computing · Computer Science 2025-05-15 Diederick Vermetten , Catalin-Viorel Dinu , Marcus Gallagher

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…

Machine Learning · Computer Science 2025-04-10 Yu Liu , Sergei V. Kalinin

In this study, we consider the subset selection problems with submodular or monotone discrete objective functions under partition matroid constraints where the thresholds are dynamic. We focus on POMC, a simple Pareto optimization approach…

Neural and Evolutionary Computing · Computer Science 2020-12-17 Anh Viet Do , Frank Neumann

In this work we are interested in stochastic particle methods for multi-objective optimization. The problem is formulated using parametrized, single-objective sub-problems which are solved simultaneously. To this end a consensus based…

Optimization and Control · Mathematics 2022-08-03 Giacomo Borghi , Michael Herty , Lorenzo Pareschi

Many optimization problems arising in applications have to consider several objective functions at the same time. Evolutionary algorithms seem to be a very natural choice for dealing with multi-objective problems as the population of such…

Neural and Evolutionary Computing · Computer Science 2013-09-17 Tobias Friedrich , Frank Neumann , Christian Thyssen

In evolutionary multiobjective optimization, effectiveness refers to how an evolutionary algorithm performs in terms of converging its solutions into the Pareto front and also diversifying them over the front. This is not an easy job,…

Neural and Evolutionary Computing · Computer Science 2022-10-26 Yani Xue , Miqing Li , Xiaohui Liu

We propose a novel framework for optimizing injection strategies in large-scale CO$_2$ storage combining multi-agent models with multi-objective optimization, and reservoir simulation. We investigate whether agents should form coalitions…

Numerical Analysis · Mathematics 2024-06-13 Per Pettersson , Sebastian Krumscheid , Sarah Gasda

Multi-objective Bayesian optimization aims to find the Pareto front of trade-offs between a set of expensive objectives while collecting as few samples as possible. In some cases, it is possible to evaluate the objectives separately, and a…

Machine Learning · Statistics 2025-03-04 Jack M. Buckingham , Sebastian Rojas Gonzalez , Juergen Branke

This study considers multi-objective Bayesian optimization (MOBO) through the information gain of the Pareto-frontier. To calculate the information gain, a predictive distribution conditioned on the Pareto-frontier plays a key role, which…

Machine Learning · Computer Science 2025-09-04 Masanori Ishikura , Masayuki Karasuyama

Particle accelerators require constant tuning during operation to meet beam quality, total charge and particle energy requirements for use in a wide variety of physics, chemistry and biology experiments. Maximizing the performance of an…

Accelerator Physics · Physics 2021-06-16 Ryan Roussel , Adi Hanuka , Auralee Edelen

Many systems require optimisation over multiple objectives, where objectives are characteristics of the system such as energy consumed or increase in time to perform the work. Optimisation is performed by selecting the `best' set of input…

Performance · Computer Science 2019-10-08 Alexander J. M. Kell , Matthew Forshaw , A. Stephen McGough

Multi-task learning, which optimizes performance across multiple tasks, is inherently a multi-objective optimization problem. Various algorithms are developed to provide discrete trade-off solutions on the Pareto front. Recently, continuous…

Machine Learning · Computer Science 2024-07-31 Weiyu Chen , James T. Kwok

Inverse problems occur in a variety of parameter identification tasks in engineering. Such problems are challenging in practice, as they require repeated evaluation of computationally expensive forward models. We introduce a unifying…

Optimization and Control · Mathematics 2022-05-02 Simon Weissmann , Ashia Wilson , Jakob Zech

Many specific problems ranging from theoretical probability to applications in statistical physics, combinatorial optimization and communications can be formulated as an optimal tuning of local parameters in large systems of interacting…

Probability · Mathematics 2020-01-23 Bartłomiej Błaszczyszyn , Christian Hirsch
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