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Most multi-objective optimisation algorithms maintain an archive explicitly or implicitly during their search. Such an archive can be solely used to store high-quality solutions presented to the decision maker, but in many cases may…

Neural and Evolutionary Computing · Computer Science 2023-09-15 Miqing Li , Manuel López-Ibáñez , Xin Yao

Multi-objective optimization (MOO) problems require balancing competing objectives, often under constraints. The Pareto optimal solution set defines all possible optimal trade-offs over such objectives. In this work, we present a novel…

Machine Learning · Computer Science 2022-04-19 Soumyajit Gupta , Gurpreet Singh , Raghu Bollapragada , Matthew Lease

When a robot autonomously performs a complex task, it frequently must balance competing objectives while maintaining safety. This becomes more difficult in uncertain environments with stochastic outcomes. Enhancing transparency in the…

Robotics · Computer Science 2024-06-19 Peter Amorese , Shohei Wakayama , Nisar Ahmed , Morteza Lahijanian

In a multiobjective optimization problem a solution is called Pareto-optimal if no criterion can be improved without deteriorating at least one of the other criteria. Computing the set of all Pareto-optimal solutions is a common task in…

Data Structures and Algorithms · Computer Science 2020-10-22 Heiko Röglin

In multiobjective optimisation, a set of scalable test problems with a variety of features allow researchers to investigate and evaluate the abilities of different optimisation algorithms, and thus can help them to design and develop more…

Neural and Evolutionary Computing · Computer Science 2022-08-24 Liangli Zhen , Miqing Li , Ran Cheng , Dezhong Peng , Xin Yao

Machine learning models are deployed as a central component in decision making and policy operations with direct impact on individuals' lives. In order to act ethically and comply with government regulations, these models need to make fair…

Machine Learning · Computer Science 2023-11-28 Bogdan Ficiu , Neil D. Lawrence , Andrei Paleyes

Model merging aims to integrate multiple task-adapted models into a unified model that preserves the knowledge of each task. In this paper, we identify that the key to this knowledge retention lies in maintaining the directional consistency…

Machine Learning · Computer Science 2026-03-17 Han-Chen Zhang , Zi-Hao Zhou , Mao-Lin Luo , Shimin Di , Min-Ling Zhang , Tong Wei

Multiobjective combinatorial optimization deals with problems considering more than one viewpoint or scenario. The problem of aggregating multiple criteria to obtain a globalizing objective function is of special interest when the number of…

Optimization and Control · Mathematics 2013-06-07 Elena Fernández , Miguel A. Pozo , Justo Puerto

The design of mobile autonomous robots is challenging due to the limited on-board resources such as processing power and energy. A promising approach is to generate intelligent schedules that reduce the resource consumption while…

Multiobjective optimization plays an increasingly important role in modern applications, where several objectives are often of equal importance. The task in multiobjective optimization and multiobjective optimal control is therefore to…

Optimization and Control · Mathematics 2019-06-24 Stefan Banholzer , Bennet Gebken , Michael Dellnitz , Sebastian Peitz , Stefan Volkwein

Multi-objective integer or mixed-integer programming problems typically have disconnected feasible domains, making the task of constructing an approximation of the Pareto front challenging. The present paper shows that certain algorithms…

Optimization and Control · Mathematics 2021-05-25 Regina S. Burachik , C. Yalçın Kaya , M. Mustafa Rizvi

Multi-task trade-offs in machine learning can be addressed via Pareto Front Learning (PFL) methods that parameterize the Pareto Front (PF) with a single model. PFL permits to select the desired operational point during inference, contrary…

Machine Learning · Computer Science 2025-02-27 Nikolaos Dimitriadis , Pascal Frossard , Francois Fleuret

We present novel mathematical models for inventory management within a reverse logistics system. Technological advancements, sustainability initiatives, and evolving customer behaviours have significantly increased the demand for repaired…

Optimization and Control · Mathematics 2024-06-21 I. B. Wadhawan , M. M. Rizvi

Recent advances in large language models have led to numerous task-specialized fine-tuned variants, creating a need for efficient model merging techniques that preserve specialized capabilities while avoiding costly retraining. While…

Computation and Language · Computer Science 2025-02-20 Shuqi Liu , Han Wu , Bowei He , Xiongwei Han , Mingxuan Yuan , Linqi Song

Algorithmic Bias can be due to bias in the training data or issues with the algorithm itself. These algorithmic issues typically relate to problems with model capacity and regularisation. This underestimation bias may arise because the…

Machine Learning · Computer Science 2021-06-01 William Blanzeisky , Pádraig Cunningham

Text-to-image generation models have achieved remarkable progress in preference optimization, yet achieving robust alignment across diverse reward models remains a significant challenge. Existing multi-reward fusion approaches rely on…

Computer Vision and Pattern Recognition · Computer Science 2026-05-14 Ying Ba , Tianyu Zhang , Mohan Zhou , Yalong Bai , Wenyi Mo , Guiwei Zhang , Bing Su , Ji-Rong Wen

The Mixture-of-Experts (MoE) technique has proven to be a promising solution to efficiently scale the model size, which has been widely applied in recent LLM advancements. However, the substantial memory overhead of MoE models has made…

Machine Learning · Computer Science 2025-10-17 Ruijie Miao , Yilun Yao , Zihan Wang , Zhiming Wang , Bairen Yi , LingJun Liu , Yikai Zhao , Tong Yang

We consider the problem of learning to choose from a given set of objects, where each object is represented by a feature vector. Traditional approaches in choice modelling are mainly based on learning a latent, real-valued utility function,…

Machine Learning · Computer Science 2020-07-15 Karlson Pfannschmidt , Eyke Hüllermeier

Reasoning capabilities represent a critical frontier for large language models (LLMs), but developing them requires extensive proprietary datasets and computational resources. One way to efficiently supplement capabilities with is by model…

Artificial Intelligence · Computer Science 2025-06-26 Guinan Su , Jonas Geiping

Evolutionary model merging enables the creation of high-performing multi-task models but remains computationally prohibitive for consumer hardware. We introduce MERGE$^3$, an efficient framework that makes evolutionary merging feasible on a…

Neural and Evolutionary Computing · Computer Science 2025-05-12 Tommaso Mencattini , Adrian Robert Minut , Donato Crisostomi , Andrea Santilli , Emanuele Rodolà