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This paper is concerned with the value function approach to multiobjective bilevel optimization which exploits a lower level frontier-type mapping in order to replace the hierarchical model of two interdependent multiobjective optimization…

Optimization and Control · Mathematics 2023-10-30 Daniel Hoff , Patrick Mehlitz

We study loss functions that measure the accuracy of a prediction based on multiple data points simultaneously. To our knowledge, such loss functions have not been studied before in the area of property elicitation or in machine learning…

Machine Learning · Computer Science 2017-06-06 Sebastian Casalaina-Martin , Rafael Frongillo , Tom Morgan , Bo Waggoner

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

We study a general scalarization approach via utility functions in multi-objective optimization. It consists of maximizing utility which is obtained from the objectives' bargaining with regard to a disagreement reference point. The…

Optimization and Control · Mathematics 2024-01-26 Lorenzo Lampariello , Simone Sagratella , Valerio Giuseppe Sasso , Vladimir Shikhman

Performing multi-objective Bayesian optimisation by scalarising the objectives avoids the computation of expensive multi-dimensional integral-based acquisition functions, instead of allowing one-dimensional standard acquisition…

Machine Learning · Computer Science 2021-04-13 Clym Stock-Williams , Tinkle Chugh , Alma Rahat , Wei Yu

Recent decades have witnessed great advancements in multiobjective evolutionary algorithms (MOEAs) for multiobjective optimization problems (MOPs). However, these progressively improved MOEAs have not necessarily been equipped with scalable…

Neural and Evolutionary Computing · Computer Science 2023-02-28 Songbai Liu , Qiuzhen Lin , Jianqiang Li , Kay Chen Tan

Real-world recommender systems often need to balance multiple objectives when deciding which recommendations to present to users. These include behavioural signals (e.g. clicks, shares, dwell time), as well as broader objectives (e.g.…

Information Retrieval · Computer Science 2024-09-17 Olivier Jeunen , Jatin Mandav , Ivan Potapov , Nakul Agarwal , Sourabh Vaid , Wenzhe Shi , Aleksei Ustimenko

Meta-learning aims to leverage information across related tasks to improve prediction on unlabeled data for new tasks when only a small number of labeled observations are available ("few-shot" learning). Increased task diversity is often…

Machine Learning · Statistics 2026-01-16 Saptati Datta , Nicolas W. Hengartner , Yulia Pimonova , Natalie E. Klein , Nicholas Lubbers

In this paper, vector optimization is considered in the framework of decision making and optimization in general spaces. Interdependencies between domination structures in decision making and domination sets in vector optimization are…

Optimization and Control · Mathematics 2017-12-06 Petra Weidner

In many recent works, the potential of Exploratory Landscape Analysis (ELA) features to numerically characterize, in particular, single-objective continuous optimization problems has been demonstrated. These numerical features provide the…

Machine Learning · Computer Science 2024-07-30 Moritz Vinzent Seiler , Pascal Kerschke , Heike Trautmann

Benchmark problems are an important tool for gaining understanding of optimization algorithms. Since algorithms often aim to perform well on benchmarks, biases in benchmark design provide misleading insights. In single-objective…

Neural and Evolutionary Computing · Computer Science 2026-04-14 Diederick Vermetten , Jeroen Rook

Functions with uniform sublevel sets can represent orders, preference relations or other binary relations and thus turn out to be a tool for scalarization that can be used in multicriteria optimization, decision theory, mathematical…

Optimization and Control · Mathematics 2017-12-06 Petra Weidner

Multi-modal multi-objective optimization is to locate (almost) equivalent Pareto optimal solutions as many as possible. While decomposition-based evolutionary algorithms have good performance for multi-objective optimization, they are…

Neural and Evolutionary Computing · Computer Science 2020-10-01 Ryoji Tanabe , Hisao Ishibuchi

The superiorization methodology can be thought of as lying conceptually between feasibility-seeking and constrained minimization. It is not trying to solve the full-fledged constrained minimization problem composed from the modeling…

Optimization and Control · Mathematics 2023-01-02 Yair Censor

Scalarisation functions are widely employed in MORL algorithms to enable intelligent decision-making. However, these functions often struggle to approximate the Pareto front accurately, rendering them unideal in complex, uncertain…

Machine Learning · Computer Science 2025-11-21 Muhammad Sa'ood Shah , Asad Jeewa

The performance of multiobjective algorithms varies across problems, making it hard to develop new algorithms or apply existing ones to new problems. To simplify the development and application of new multiobjective algorithms, there has…

Neural and Evolutionary Computing · Computer Science 2022-07-08 Yuri Lavinas , Marcelo Ladeira , Gabriela Ochoa , Claus Aranha

This paper proposes a multiobjective multitasking optimization evolutionary algorithm based on decomposition with dual neighborhood. In our proposed algorithm, each subproblem not only maintains a neighborhood based on the Euclidean…

Computational Engineering, Finance, and Science · Computer Science 2021-01-20 Xianpeng Wang , Zhiming Dong , Lixin Tang , Qingfu Zhang

In this paper, we introduce a new functional point of view on bilevel optimization problems for machine learning, where the inner objective is minimized over a function space. These types of problems are most often solved by using methods…

Machine Learning · Statistics 2024-12-10 Ieva Petrulionyte , Julien Mairal , Michael Arbel

%% Text of abstract The process of identifying the most suitable optimization algorithm for a specific problem, referred to as algorithm selection (AS), entails training models that leverage problem landscape features to forecast algorithm…

Machine Learning · Computer Science 2025-01-30 Gjorgjina Cenikj , Gašper Petelin , Moritz Seiler , Nikola Cenikj , Tome Eftimov

The field of multiobjective evolutionary algorithms (MOEAs) often emphasizes its popularity for optimization problems with conflicting objectives. However, it is still theoretically unknown how MOEAs perform compared with typical approaches…

Neural and Evolutionary Computing · Computer Science 2026-04-30 Weijie Zheng