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In multiobjective combinatorial optimization, there exists two main classes of metaheuristics, based either on multiple aggregations, or on a dominance relation. As in the single objective case, the structure of the search space can explain…

Neural and Evolutionary Computing · Computer Science 2012-07-20 Sébastien Verel , Arnaud Liefooghe , Laetitia Jourdan , Clarisse Dhaenens

The properties of local optimal solutions in multi-objective combinatorial optimization problems are crucial for the effectiveness of local search algorithms, particularly when these algorithms are based on Pareto dominance. Such local…

Artificial Intelligence · Computer Science 2014-09-22 Manuel López-Ibáñez , Arnaud Liefooghe , Sébastien Verel

Fitness landscape analysis aims to understand the geometry of a given optimization problem in order to design more efficient search algorithms. However, there is a very little knowledge on the landscape of multiobjective problems. In this…

Neural and Evolutionary Computing · Computer Science 2012-07-19 Sébastien Verel , Arnaud Liefooghe , Clarisse Dhaenens

We present an analysis of landscape features for predicting the performance of multi-objective combinatorial optimization algorithms. We consider features from the recently proposed compressed Pareto Local Optimal Solutions Networks…

Neural and Evolutionary Computing · Computer Science 2025-07-03 Ana Nikolikj , Gabriela Ochoa , Tome Eftimov

Fitness landscape analysis investigates features with a high influence on the performance of optimization algorithms, aiming to take advantage of the addressed problem characteristics. In this work, a fitness landscape analysis using…

Artificial Intelligence · Computer Science 2018-06-27 Marcella S. R. Martins , Mohamed El Yafrani , Roberto Santana , Myriam Delgado , Ricardo Lüders , Belaïd Ahiod

Local Optima Networks (LONs) have been recently proposed as an alternative model of combinatorial fitness landscapes. The model compresses the information given by the whole search space into a smaller mathematical object that is the graph…

Artificial Intelligence · Computer Science 2012-10-16 Fabio Daolio , Sébastien Verel , Gabriela Ochoa , Marco Tomassini

We propose a new Pareto Local Search Algorithm for the many-objective combinatorial optimization. Pareto Local Search proved to be a very effective tool in the case of the bi-objective combinatorial optimization and it was used in a number…

Data Structures and Algorithms · Computer Science 2017-12-15 Andrzej Jaszkiewicz

In previous work we have introduced a network-based model that abstracts many details of the underlying landscape and compresses the landscape information into a weighted, oriented graph which we call the local optima network. The vertices…

Artificial Intelligence · Computer Science 2011-07-22 Sébastien Verel , Gabriela Ochoa , Marco Tomassini

Deep learning models form one of the most powerful machine learning models for the extraction of important features. Most of the designs of deep neural models, i.e., the initialization of parameters, are still manually tuned. Hence,…

Machine Learning · Computer Science 2023-05-18 Mrittika Chakraborty , Wreetbhas Pal , Sanghamitra Bandyopadhyay , Ujjwal Maulik

Recent developments in fitness landscape analysis include the study of Local Optima Networks (LON) and applications of the Elementary Landscapes theory. This paper represents a first step at combining these two tools to explore their…

Artificial Intelligence · Computer Science 2012-10-16 Francisco Chicano , Fabio Daolio , Gabriela Ochoa , Sébastien Verel , Marco Tomassini , Enrique Alba

A Local Optima Network (LON) is a graph model that compresses the fitness landscape of a particular combinatorial optimization problem based on a specific neighborhood operator and a local search algorithm. Determining which and how…

Neural and Evolutionary Computing · Computer Science 2020-04-30 Marcella Scoczynski Ribeiro Martins , Mohamed El Yafrani , Myriam R. B. S. Delgado , Ricardo Luders

To date, the multi-objective optimization literature has mainly focused on conflicting objectives, studying the Pareto front, or requiring users to balance tradeoffs. Yet, in machine learning practice, there are many scenarios where such…

Machine Learning · Computer Science 2025-03-05 Yonathan Efroni , Ben Kretzu , Daniel Jiang , Jalaj Bhandari , Zheqing , Zhu , Karen Ullrich

Various local search approaches have recently been applied to machine scheduling problems under multiple objectives. Their foremost consideration is the identification of the set of Pareto optimal alternatives. An important aspect of…

Artificial Intelligence · Computer Science 2008-09-02 Martin Josef Geiger

In multi-objective optimization, a single decision vector must balance the trade-offs between many objectives. Solutions achieving an optimal trade-off are said to be Pareto optimal: these are decision vectors for which improving any one…

Optimization and Control · Mathematics 2023-08-07 Abhishek Roy , Geelon So , Yi-An Ma

The article describes the proposition and application of a local search metaheuristic for multi-objective optimization problems. It is based on two main principles of heuristic search, intensification through variable neighborhoods, and…

Artificial Intelligence · Computer Science 2009-07-20 Martin Josef Geiger

This chapter overviews a recently introduced network-based model of combinatorial landscapes: Local Optima Networks (LON). The model compresses the information given by the whole search space into a smaller mathematical object that is a…

Neural and Evolutionary Computing · Computer Science 2014-02-13 Gabriela Ochoa , Sébastien Verel , Fabio Daolio , Marco Tomassini

Recently, the property of connectedness has been claimed to give a strong motivation on the design of local search techniques for multiobjective combinatorial optimization (MOCO). Indeed, when connectedness holds, a basic Pareto local…

Neural and Evolutionary Computing · Computer Science 2012-07-20 Sébastien Verel , Arnaud Liefooghe , Jérémie Humeau , Laetitia Jourdan , Clarisse Dhaenens

The goal of multi-objective optimization is to understand optimal trade-offs between competing objective functions by finding the Pareto front, i.e., the set of all Pareto optimal solutions, where no objective can be improved without…

Understanding the relationships between objectives in a multiobjective optimisation problem is important for developing tailored and efficient solving techniques. In particular, when tackling combinatorial optimisation problems with many…

Neural and Evolutionary Computing · Computer Science 2025-10-02 Rodrigo Lankaites Pinheiro , Dario Landa-Silva , Jason Atkin

Multiobjective combinatorial optimization (MOCO) problems can be found in many real-world applications. However, exactly solving these problems would be very challenging, particularly when they are NP-hard. Many handcrafted heuristic…

Machine Learning · Computer Science 2022-05-10 Xi Lin , Zhiyuan Yang , Qingfu Zhang
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