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Multi-objective optimization (MOO) aims at finding a set of optimal configurations for a given set of objectives. A recent line of work applies MOO methods to the typical Machine Learning (ML) setting, which becomes multi-objective if a…

Machine Learning · Computer Science 2021-10-15 Michael Ruchte , Josif Grabocka

We analyze combinatorial optimization problems with ordinal, i.e., non-additive, objective functions that assign categories (like good, medium and bad) rather than cost coefficients to the elements of feasible solutions. We review different…

Optimization and Control · Mathematics 2022-04-06 Kathrin Klamroth , Michael Stiglmayr , Julia Sudhoff

Machine learning problems with multiple objective functions appear either in learning with multiple criteria where learning has to make a trade-off between multiple performance metrics such as fairness, safety and accuracy; or, in…

Machine Learning · Computer Science 2024-03-20 Heshan Fernando , Han Shen , Miao Liu , Subhajit Chaudhury , Keerthiram Murugesan , Tianyi Chen

The multi-objective optimization is to optimize several objective functions over a common feasible set. Since the objectives usually do not share a common optimizer, people often consider (weakly) Pareto points. This paper studies…

Optimization and Control · Mathematics 2023-12-05 Jiawang Nie , Zi Yang

Hyperparameter optimization (HPO) is a necessary step to ensure the best possible performance of Machine Learning (ML) algorithms. Several methods have been developed to perform HPO; most of these are focused on optimizing one performance…

Machine Learning · Computer Science 2022-11-16 Alejandro Morales-Hernández , Inneke Van Nieuwenhuyse , Sebastian Rojas Gonzalez

Multiobjective stochastic programming is a field well located to tackle problems arising in emergencies, given that uncertainty and multiple objectives are usually present in such problems. A new concept of solution is proposed in this…

Optimization and Control · Mathematics 2021-02-08 Javier León , Justo Puerto , Begoña Vitoriano

Performance and energy are the two most important objectives for optimisation on modern parallel platforms. Latest research demonstrated the importance of workload distribution as a decision variable in the bi-objective optimisation for…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-10 Hamidreza Khaleghzadeh , Muhammad Fahad , Arsalan Shahid , Ravi Reddy Manumachu , Alexey Lastovetsky

Hyperparameter optimization constitutes a large part of typical modern machine learning workflows. This arises from the fact that machine learning methods and corresponding preprocessing steps often only yield optimal performance when…

Bi-objective optimization problems on matroids are in general intractable and their corresponding decision problems are in general NP-hard. However, if one of the objective functions is restricted to binary cost coefficients the problem…

Optimization and Control · Mathematics 2022-04-12 Kathrin Klamroth , Michael Stiglmayr , Julia Sudhoff

This paper discusses the challenge when evaluating multi-objective optimisation algorithms under noise, and argues that decision maker preferences need to be taken into account. It demonstrates that commonly used performance metrics are…

Optimization and Control · Mathematics 2023-03-01 Juergen Branke

In this paper, we demonstrate a formulation for optimizing coupled submodular maximization problems with provable sub-optimality bounds. In robotics applications, it is quite common that optimization problems are coupled with one another…

Robotics · Computer Science 2021-11-19 Jun Liu , Ryan K. Williams

Multiobjective optimization problems with heterogeneous objectives are defined as those that possess significantly different types of objective function components (not just incommensurable in units or scale). For example, in a…

Neural and Evolutionary Computing · Computer Science 2021-03-30 Richard Allmendinger , Joshua Knowles

The aim of this literature is to illustrate the application of multi-objective optimization routines through a case study of face milling operation. For this purpose, the face milling operation is designed as a multi-objective optimization…

Optimization and Control · Mathematics 2023-01-24 Nazmul Hasan

Multi-objective learning under user-specified preference is common in real-world problems such as multi-lingual speech recognition under fairness. In this work, we frame such a problem as a semivectorial bilevel optimization problem, whose…

Optimization and Control · Mathematics 2025-04-07 Lisha Chen , Quan Xiao , Ellen Hidemi Fukuda , Xinyi Chen , Kun Yuan , Tianyi Chen

This work deals with the design optimization of electrical machines under the consideration of manufacturing uncertainties. In order to efficiently quantify the uncertainty, blackbox machine learning methods are employed. A multi-objective…

Computational Engineering, Finance, and Science · Computer Science 2023-11-27 Morten Huber , Mona Fuhrländer , Sebastian Schöps

In this report, we suggest nine test problems for multi-task single-objective optimization (MTSOO), each of which consists of two single-objective optimization tasks that need to be solved simultaneously. The relationship between tasks…

Neural and Evolutionary Computing · Computer Science 2017-06-13 Bingshui Da , Yew-Soon Ong , Liang Feng , A. K. Qin , Abhishek Gupta , Zexuan Zhu , Chuan-Kang Ting , Ke Tang , Xin Yao

Learning-enabled control systems increasingly rely on multiple sensing modalities (e.g., vision, audio, language, etc.) for perception and decision support. A key challenge is that multi-modal sensor training dynamics are often imbalanced:…

Machine Learning · Computer Science 2026-04-01 Heshan Fernando , Quan Xiao , Parikshit Ram , Yi Zhou , Horst Samulowitz , Nathalie Baracaldo , Tianyi Chen

Quantum and quantum-inspired optimisation algorithms are designed to solve problems represented in binary, quadratic and unconstrained form. Combinatorial optimisation problems are therefore often formulated as Quadratic Unconstrained…

Artificial Intelligence · Computer Science 2022-05-27 Mayowa Ayodele , Richard Allmendinger , Manuel López-Ibáñez , Matthieu Parizy

We describe a light-weight yet performant system for hyper-parameter optimization that approximately minimizes an overall scalar cost function that is obtained by combining multiple performance objectives using a target-priority-limit…

Optimization has found numerous applications in engineering, particularly since 1960s. Many optimization applications in engineering have more than one objective (or performance criterion). Such applications require multi-objective (or…

Chemical Physics · Physics 2024-07-16 Zhiyuan Wang , Seyed Reza Nabavi , Gade Pandu Rangaiah