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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…

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

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

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

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…

Physics and Society · Physics 2026-05-05 Leonardo Rizzo , Edward D. Lee , János Kertész

Network-based representations of fitness landscapes have grown in popularity in the past decade; this is probably because of growing interest in explainability for optimisation algorithms. Local optima networks (LONs) have been especially…

Neural and Evolutionary Computing · Computer Science 2024-12-23 Sarah L. Thomson , Quentin Renau , Diederick Vermetten , Emma Hart , Niki van Stein , Anna V. Kononova

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…

Neural and Evolutionary Computing · Computer Science 2025-04-28 S. L. Thomson , M. W. Przewozniczek

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…

Neural and Evolutionary Computing · Computer Science 2012-07-19 Gabriela Ochoa , Sébastien Verel , Marco Tomassini

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

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…

Artificial Intelligence · Computer Science 2011-07-22 Fabio Daolio , 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…

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

The advent of Large Language Models (LLMs) has opened new frontiers in automated algorithm design, giving rise to numerous powerful methods. However, these approaches retain critical limitations: they require extensive evaluation of the…

Neural and Evolutionary Computing · Computer Science 2026-02-05 Haoran Yin , Shuaiqun Pan , Zhao Wei , Jian Cheng Wong , Yew-Soon Ong , Anna V. Kononova , Thomas Bäck , Niki van Stein

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…

Neural and Evolutionary Computing · Computer Science 2022-06-15 Isak Potgieter , Christopher W. Cleghorn , Anna S. Bosman

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…

Artificial Intelligence · Computer Science 2024-02-13 Sarah L. Thomson , Léni K. Le Goff , Emma Hart , Edgar Buchanan

Novelty search (NS) refers to a class of exploration algorithms that seek to uncover diverse system behaviors through simulations or experiments. Such diversity is central to many AI-driven discovery and design tasks, including material and…

Machine Learning · Statistics 2025-07-31 Wei-Ting Tang , Ankush Chakrabarty , Joel A. Paulson

Neural Architecture Search (NAS) was first proposed to achieve state-of-the-art performance through the discovery of new architecture patterns, without human intervention. An over-reliance on expert knowledge in the search space design has…

Machine Learning · Computer Science 2021-01-05 Binxin Ru , Pedro Esperanca , Fabio Carlucci

Generative Adversarial Networks (GANs) have achieved remarkable results in the task of generating realistic natural images. In most successful applications, GAN models share two common aspects: solving a challenging saddle point…

Machine Learning · Statistics 2019-05-21 Piotr Bojanowski , Armand Joulin , David Lopez-Paz , Arthur Szlam

We present a non-convex optimization algorithm metaheuristic, based on the training of a deep generative network, which enables effective searching within continuous, ultra-high dimensional landscapes. During network training, populations…

Machine Learning · Computer Science 2023-07-11 Jiaqi Jiang , Jonathan A. Fan

Using Large Language Models (LLMs) in an evolutionary or other iterative search framework have demonstrated significant potential in automated algorithm design. However, the underlying fitness landscape, which is critical for understanding…

Artificial Intelligence · Computer Science 2025-08-28 Fei Liu , Qingfu Zhang , Jialong Shi , Xialiang Tong , Kun Mao , Mingxuan Yuan

The Bayesian Optimisation Algorithm (BOA) is an Estimation of Distribution Algorithm (EDA) that uses a Bayesian network as probabilistic graphical model (PGM). Determining the optimal Bayesian network structure given a solution sample is an…

Operational Neural Networks (ONNs) have recently been proposed to address the well-known limitations and drawbacks of conventional Convolutional Neural Networks (CNNs) such as network homogeneity with the sole linear neuron model. ONNs are…

Machine Learning · Computer Science 2020-04-27 Serkan Kiranyaz , Junaid Malik , Habib Ben Abdallah , Turker Ince , Alexandros Iosifidis , Moncef Gabbouj
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