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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…

人工智能 · 计算机科学 2012-10-16 Fabio Daolio , Sébastien Verel , Gabriela Ochoa , Marco Tomassini

Using a recently proposed model for combinatorial landscapes, Local Optima Networks (LON), we conduct a thorough analysis of two types of instances of the Quadratic Assignment Problem (QAP). This network model is a reduction of the…

人工智能 · 计算机科学 2011-07-22 Fabio Daolio , Sébastien Verel , Gabriela Ochoa , Marco Tomassini

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…

神经与进化计算 · 计算机科学 2014-02-13 Gabriela Ochoa , Sébastien Verel , Fabio Daolio , Marco Tomassini

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…

神经与进化计算 · 计算机科学 2020-04-30 Marcella Scoczynski Ribeiro Martins , Mohamed El Yafrani , Myriam R. B. S. Delgado , Ricardo Luders

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…

人工智能 · 计算机科学 2011-07-22 Sébastien Verel , Gabriela Ochoa , Marco Tomassini

We provide an up-to-date view of the structure of the energy landscape of the low autocorrelation binary sequences problem, a typical representative of the $NP$-hard class. To study the landscape features of interest we use the local optima…

统计力学 · 物理学 2022-04-11 Marco Tomassini

This study investigates the use of local optima network (LON) analysis, a derivative of the fitness landscape of candidate solutions, to characterise and visualise the neural architecture space. The search space of feedforward neural…

神经与进化计算 · 计算机科学 2022-06-15 Isak Potgieter , Christopher W. Cleghorn , Anna S. Bosman

For solving combinatorial optimisation problems with metaheuristics, different search operators are applied for sampling new solutions in the neighbourhood of a given solution. It is important to understand the relationship between…

人工智能 · 计算机科学 2023-05-05 Jiyuan Pei , Hao Tong , Jialin Liu , Yi Mei , Xin Yao

We propose a new way of looking at local optima networks (LONs). LONs represent fitness landscapes; the nodes are local optima, and the edges are search transitions between them. Many metrics computed on LONs have been proposed and shown to…

神经与进化计算 · 计算机科学 2024-01-18 Hendrik Richter , Sarah L. Thomson

This paper extends a recently proposed model for combinatorial landscapes: Local Optima Networks (LON), to incorporate a first-improvement (greedy-ascent) hill-climbing algorithm, instead of a best-improvement (steepest-ascent) one, for the…

神经与进化计算 · 计算机科学 2012-07-19 Gabriela Ochoa , Sébastien Verel , Marco Tomassini

In this paper, we conduct a fitness landscape analysis for multiobjective combinatorial optimization, based on the local optima of multiobjective NK-landscapes with objective correlation. In single-objective optimization, it has become…

神经与进化计算 · 计算机科学 2012-07-19 Sébastien Verel , Arnaud Liefooghe , Laetitia Jourdan , Clarisse Dhaenens

Using the recently proposed model of combinatorial landscapes: local optima networks, we study the distribution of local optima in two classes of instances of the quadratic assignment problem. Our results indicate that the two problem…

神经与进化计算 · 计算机科学 2012-07-20 Gabriela Ochoa , Sébastien Verel , Fabio Daolio , Marco Tomassini

Morpho-evolution (ME) refers to the simultaneous optimisation of a robot's design and controller to maximise performance given a task and environment. Many genetic encodings have been proposed which are capable of representing design and…

人工智能 · 计算机科学 2024-02-13 Sarah L. Thomson , Léni K. Le Goff , Emma Hart , Edgar Buchanan

The local optima network model has proved useful in the past in connection with combinatorial optimization problems. Here we examine its extension to the real continuous function domain. Through a sampling process, the model builds a…

统计力学 · 物理学 2022-12-21 Marco Tomassini

Combinatorial optimization problems implicitly define fitness landscapes that combine the numeric structure of the 'fitness' function to be maximized with the combinatorial structure of which assignments are 'adjacent'. Local search starts…

数据结构与算法 · 计算机科学 2026-01-13 Artem Kaznatcheev , Sofia Vazquez Alferez

Local optima networks (LONs) capture fitness landscape information. They are typically constructed in a black-box manner; information about the problem structure is not utilised. This also applies to the analysis of LONs: knowledge about…

神经与进化计算 · 计算机科学 2025-04-28 S. L. Thomson , M. W. Przewozniczek

A significant challenge in nature-inspired algorithmics is the identification of specific characteristics of problems that make them harder (or easier) to solve using specific methods. The hope is that, by identifying these characteristics,…

神经与进化计算 · 计算机科学 2013-05-06 Matthew Crossley , Andy Nisbet , Martyn Amos

Local Optima Networks (LONs) represent the global structure of search spaces as graphs, but their construction requires iterative execution of a search algorithm to find local optima and approximate transitions between Basins of Attraction…

神经与进化计算 · 计算机科学 2026-04-24 Kippei Mizuta , Shoichiro Tanaka , Shuhei Tanaka , Toshiharu Hatanaka

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…

神经与进化计算 · 计算机科学 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…

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