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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

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…

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

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

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 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

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

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

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

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

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

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

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

We propose Local Optima Networks (LONs) as a formal framework for modeling innovation dynamics. A LON is a directed weighted graph in which nodes represent locally stable technological configurations and edges encode transition…

物理与社会 · 物理学 2026-05-05 Leonardo Rizzo , Edward D. Lee , János Kertész

We propose a network characterization of combinatorial fitness landscapes by adapting the notion of inherent networks proposed for energy surfaces. We use the well-known family of NK landscapes as an example. In our case the inherent…

统计力学 · 物理学 2012-07-20 Marco Tomassini , Sébastien Verel , Gabriela Ochoa

We propose a network characterization of combinatorial fitness landscapes by adapting the notion of inherent networks proposed for energy surfaces. We use the well-known family of NK landscapes as an example. In our case the inherent…

神经与进化计算 · 计算机科学 2008-10-21 Sébastien Verel , Gabriela Ochoa , Marco Tomassini

We propose a network characterization of combinatorial fitness landscapes by adapting the notion of inherent networks proposed for energy surfaces (Doye, 2002). We use the well-known family of $NK$ landscapes as an example. In our case the…

神经与进化计算 · 计算机科学 2008-10-21 Gabriela Ochoa , Marco Tomassini , Sébastien Verel , Christian Darabos

One of the most common problem-solving heuristics is by analogy. For a given problem, a solver can be viewed as a strategic walk on its fitness landscape. Thus if a solver works for one problem instance, we expect it will also be effective…

机器学习 · 计算机科学 2023-12-06 Mingyu Huang , Ke Li

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
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