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In multi-objective optimization, designing good benchmark problems is an important issue for improving solvers. Controlling the global location of Pareto optima in existing benchmark problems has been problematic, and it is even more…

Optimization and Control · Mathematics 2024-02-13 Ryosuke Ota , Reiya Hagiwara , Naoki Hamada , Likun Liu , Takahiro Yamamoto , Daisuke Sakurai

While Retrieval Augmented Generation (RAG) has emerged as a popular technique for improving Large Language Model (LLM) systems, it introduces a large number of choices, parameters and hyperparameters that must be made or tuned. This…

Machine Learning · Computer Science 2025-05-09 Matthew Barker , Andrew Bell , Evan Thomas , James Carr , Thomas Andrews , Umang Bhatt

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

In classification problems when multiples algorithms are applied to different benchmarks a difficult issue arises, i.e., how can we rank the algorithms? In machine learning it is common run the algorithms several times and then a statistic…

Machine Learning · Computer Science 2016-10-25 Andre G. C. Pacheco , Renato A. Krohling

We propose a novel numerical approach to compute the Pareto front in multivariate polynomial multi-objective optimization problems. When the objective functions and (equality) constraints are multivariate polynomials, the Pareto front,…

Optimization and Control · Mathematics 2026-04-06 Hans van Rooij , Christof Vermeersch , Marie Deferme , Bart De Moor

In the domain of multi-objective optimization, evolutionary algorithms are distinguished by their capability to generate a diverse population of solutions that navigate the trade-offs inherent among competing objectives. This has catalyzed…

Neural and Evolutionary Computing · Computer Science 2025-01-07 Yuxin Ma , Zherui Zhang , Ran Cheng , Yaochu Jin , Kay Chen Tan

Deciding which large language model (LLM) to use is a complex challenge. Pairwise ranking has emerged as a new method for evaluating human preferences for LLMs. This approach entails humans evaluating pairs of model outputs based on a…

Computation and Language · Computer Science 2025-02-18 Roland Daynauth , Christopher Clarke , Krisztian Flautner , Lingjia Tang , Jason Mars

Most of the machine learning models have associated hyper-parameters along with their parameters. While the algorithm gives the solution for parameters, its utility for model performance is highly dependent on the choice of hyperparameters.…

Machine Learning · Computer Science 2022-01-19 Shashank Shekhar , Adesh Bansode , Asif Salim

Though competitive analysis has been a very useful performance measure for the quality of online algorithms, it is recognized that it sometimes fails to distinguish between algorithms of different quality in practice. A number of…

Data Structures and Algorithms · Computer Science 2015-03-19 Joan Boyar , Kim S. Larsen , Abyayananda Maiti

Multi-objective optimization problems can be found in many real-world applications, where the objectives often conflict each other and cannot be optimized by a single solution. In the past few decades, numerous methods have been proposed to…

Machine Learning · Computer Science 2024-07-24 Xi Lin , Xiaoyuan Zhang , Zhiyuan Yang , Fei Liu , Zhenkun Wang , Qingfu Zhang

In solving multi-modal, multi-objective optimization problems (MMOPs), the objective is not only to find a good representation of the Pareto-optimal front (PF) in the objective space but also to find all equivalent Pareto-optimal subsets…

Neural and Evolutionary Computing · Computer Science 2022-10-24 Tapabrata Ray , Mohammad Mohiuddin Mamun , Hemant Kumar Singh

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

The selection of the best classification algorithm for a given dataset is a very widespread problem, occuring each time one has to choose a classifier to solve a real-world problem. It is also a complex task with many important…

Machine Learning · Computer Science 2012-08-16 Vincent Labatut , Hocine Cherifi

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

In this paper, we propose a simple global optimisation algorithm inspired by Pareto's principle. This algorithm samples most of its solutions within prominent search domains and is equipped with a self-adaptive mechanism to control the…

Optimization and Control · Mathematics 2021-03-30 Mahmoud Shaqfa , Katrin Beyer

Molecular discovery is a multi-objective optimization problem that requires identifying a molecule or set of molecules that balance multiple, often competing, properties. Multi-objective molecular design is commonly addressed by combining…

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

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

We introduce Pareto-NRPA, a new Monte-Carlo algorithm designed for multi-objective optimization problems over discrete search spaces. Extending the Nested Rollout Policy Adaptation (NRPA) algorithm originally formulated for single-objective…

Artificial Intelligence · Computer Science 2025-11-04 Noé Lallouet , Tristan Cazenave , Cyrille Enderli

Selecting an optimization algorithm requires comparing candidates across problem instances, but the computational budget for deployment is often unknown at benchmarking time. Current methods either collapse anytime performance into a…

Neural and Evolutionary Computing · Computer Science 2026-03-10 Jonathan Wurth , Helena Stegherr , Neele Kemper , Michael Heider , Jörg Hähner

Large Language Models (LLMs) have shown impressive abilities in many applications. When a concrete and precise answer is desired, it is important to have a quantitative estimation of the potential error rate. However, this can be…

Computation and Language · Computer Science 2024-12-20 Theodore Zhao , Mu Wei , J. Samuel Preston , Hoifung Poon