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Multi-objective probabilistic model checking provides a way to verify several, possibly conflicting, quantitative properties of a stochastic system. It has useful applications in controller synthesis and compositional probabilistic…

Logic in Computer Science · Computer Science 2015-03-20 Vojtech Forejt , Marta Kwiatkowska , David Parker

We present a multi-objective Bayesian optimisation algorithm that allows the user to express preference-order constraints on the objectives of the type "objective A is more important than objective B". These preferences are defined based on…

Machine Learning · Computer Science 2019-11-14 Majid Abdolshah , Alistair Shilton , Santu Rana , Sunil Gupta , Svetha Venkatesh

Creating diverse sets of high quality solutions has become an important problem in recent years. Previous works on diverse solutions problems consider solutions' objective quality and diversity where one is regarded as the optimization goal…

Neural and Evolutionary Computing · Computer Science 2024-01-17 Anh Viet Do , Mingyu Guo , Aneta Neumann , Frank Neumann

Polyhedral convex set optimization problems are the simplest optimization problems with set-valued objective function. Their role in set optimization is comparable to the role of linear programs in scalar optimization. Vector linear…

Optimization and Control · Mathematics 2024-01-26 Andreas Löhne

An algorithm is proposed, analyzed, and tested for solving continuous nonlinear-equality-constrained optimization problems where the objective and constraint functions are defined by expectations or averages over large, finite numbers of…

Optimization and Control · Mathematics 2026-05-14 Frank E. Curtis , Lingjun Guo , Daniel P. Robinson

In this work, we consider the problem of Quality-Diversity (QD) optimization with multiple objectives. QD algorithms have been proposed to search for a large collection of both diverse and high-performing solutions instead of a single set…

Artificial Intelligence · Computer Science 2022-06-01 Thomas Pierrot , Guillaume Richard , Karim Beguir , Antoine Cully

The discovery of therapeutic molecules is fundamentally a multi-objective optimization problem. One formulation of the problem is to identify molecules that simultaneously exhibit strong binding affinity for a target protein, minimal…

Quantitative Methods · Quantitative Biology 2023-10-17 Jenna C. Fromer , David E. Graff , Connor W. Coley

Software engineers must make decisions that trade off competing goals (faster vs. cheaper, secure vs. usable, accurate vs. interpretable, etc.). Despite MSR's proven techniques for exploring such goals, researchers still struggle with these…

Software Engineering · Computer Science 2026-02-10 Tim Menzies , Tao Chen , Yulong Ye , Kishan Kumar Ganguly , Amirali Rayegan , Srinath Srinivasan , Andre Lustosa

Multi-objective Bayesian optimization (MOBO) provides a principled framework for optimizing expensive black-box functions with multiple objectives. However, existing MOBO methods often struggle with coverage, scalability with respect to the…

Machine Learning · Computer Science 2026-04-20 Yaohong Yang , Sammie Katt , Samuel Kaski

Beam parameter optimization in accelerators involves multiple, sometimes competing objectives. Condensing these individual objectives into a single figure of merit unavoidably results in a bias towards particular outcomes, in absence of…

Accelerator Physics · Physics 2022-12-26 Faran Irshad , Stefan Karsch , Andreas Döpp

In this paper, we propose a variable metric method for unconstrained multiobjective optimization problems (MOPs). First, a sequence of points is generated using different positive definite matrices in the generic framework. It is proved…

Optimization and Control · Mathematics 2022-07-18 Jian Chen , Gaoxi Li , Xinmin Yang

Multi-objective optimisation problems involve finding solutions with varying trade-offs between multiple and often conflicting objectives. Ising machines are physical devices that aim to find the absolute or approximate ground states of an…

Artificial Intelligence · Computer Science 2023-05-22 Mayowa Ayodele , Richard Allmendinger , Manuel López-Ibáñez , Arnaud Liefooghe , Matthieu Parizy

The decomposition-based method has been recognized as a major approach for multi-objective optimization. It decomposes a multi-objective optimization problem into several single-objective optimization subproblems, each of which is usually…

Neural and Evolutionary Computing · Computer Science 2017-04-11 Mengyuan Wu , Ke Li , Sam Kwong , Qingfu Zhang

Test-based automated program repair has been a prolific field of research in software engineering in the last decade. Many approaches have indeed been proposed, which leverage test suites as a weak, but affordable, approximation to program…

The competition focuses on Multiparty Multiobjective Optimization Problems (MPMOPs), where multiple decision makers have conflicting objectives, as seen in applications like UAV path planning. Despite their importance, MPMOPs remain…

Artificial Intelligence · Computer Science 2024-02-06 Wenjian Luo , Peilan Xu , Shengxiang Yang , Yuhui Shi

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

As the interest in multi- and many-objective optimization algorithms grows, the performance comparison of these algorithms becomes increasingly important. A large number of performance indicators for multi-objective optimization algorithms…

Artificial Intelligence · Computer Science 2024-11-28 Amin Ibrahim , Azam Asilian Bidgoli , Shahryar Rahnamayan , Kalyanmoy Deb

According to the published papers and books since the turn of the century, Pareto optimization is the dominating assessment method for multi-objective nonlinear optimization problems treated by population-based optimizers like Evolutionary…

Neural and Evolutionary Computing · Computer Science 2022-03-08 Wilfried Jakob , Christian Blume

This chapter presents the Bilevel Optimization LIBrary of the test problems (BOLIB for short), which contains a collection of test problems, with continuous variables, to help support the development of numerical solvers for bilevel…

Optimization and Control · Mathematics 2020-12-01 Shenglong Zhou , Alain B. Zemkoho , Andrey Tin

An important benefit of multi-objective search is that it maintains a diverse population of candidates, which helps in deceptive problems in particular. Not all diversity is useful, however: candidates that optimize only one objective while…

Neural and Evolutionary Computing · Computer Science 2019-06-11 Hormoz Shahrzad , Daniel Fink , Risto Miikkulainen