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Slow self-avoiding adaptive walks by an infinite radius search algorithm (Limax) are analyzed as themselves, and as the network they form. The study is conducted on several NK problems and two HIFF problems. We find that examination of such…

Neural and Evolutionary Computing · Computer Science 2011-07-20 Susan Khor

We study the recent metaheuristic search algorithm for the multidimensional assignment problem (MAP) using fitness landscape theory. The analyzed algorithm performs a very large-scale neighborhood search on a set of feasible solutions to…

Discrete Mathematics · Computer Science 2021-12-23 Alla Kammerdiner , Alexander Semenov , Eduardo Pasiliao

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…

Statistical Mechanics · Physics 2012-07-20 Marco Tomassini , Sébastien Verel , Gabriela Ochoa

Computational modeling is widely used to study how humans and organizations search and solve problems in fields such as economics, management, cultural evolution, and computer science. We argue that current computational modeling research…

Data Analysis, Statistics and Probability · Physics 2020-06-23 Oana Vuculescu , Mads Kock Pedersen , Jacob F. Sherson , Carsten Bergenholtz

This article presents an efficient hierarchical clustering algorithm that solves the problem of core community detection. It is a variant of the standard community detection problem in which we are particularly interested in the connected…

Social and Information Networks · Computer Science 2015-09-01 J. Creusefond , T. Largillier , S. Peyronnet

Given a graph $G$ and a vertex $q\in G$, the community search (CS) problem aims to efficiently find a subgraph of $G$ whose vertices are closely related to $q$. Communities are prevalent in social and biological networks, and can be used in…

Databases · Computer Science 2019-01-18 Yankai Chen , Yixiang Fang , Reynold Cheng , Yun Li , Xiaojun Chen , Jie Zhang

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…

Neural and Evolutionary Computing · Computer Science 2008-10-21 Sébastien Verel , Gabriela Ochoa , Marco Tomassini

Fitness landscapes are mappings between genotypes, phenotypes, and fitness that shape evolution. In recent years, empirical work and theoretical models have greatly advanced our understanding of how populations navigate rugged fitness…

Populations and Evolution · Quantitative Biology 2026-04-21 Malvika Srivastava , Claudia Bank , Joachim Krug , Suman G. Das

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…

Machine Learning · Computer Science 2023-12-06 Mingyu Huang , Ke Li

A recent line of research concerns the problem of soft happy colouring (SHC), which requires that a partially coloured graph be extended to a complete colouring to maximise local agreements, so that as many vertices as possible end up…

Discrete Mathematics · Computer Science 2025-12-08 Mohammad Hadi Shekarriz , Dhananjay Thiruvady , Asef Nazari

Reachability analysis is a powerful tool when it comes to capturing the behaviour, thus verifying the safety, of autonomous systems. However, general-purpose methods, such as Hamilton-Jacobi approaches, suffer from the curse of…

Optimization and Control · Mathematics 2022-10-27 Alessandro Alla , Peter M. Dower , Vincent Liu

This paper introduces the concept of fitness cloud as an alternative way to visualize and analyze search spaces than given by the geographic notion of fitness landscape. It is argued that the fitness cloud concept overcomes several…

Artificial Intelligence · Computer Science 2007-09-26 Philippe Collard , Sébastien Verel , Manuel Clergue

Community search aims to identify a refined set of nodes that are most relevant to a given query, supporting tasks ranging from fraud detection to recommendation. Unlike homophilic graphs, many real-world networks are heterophilic, where…

Social and Information Networks · Computer Science 2026-02-23 Qing Sima , Xiaoyang Wang , Wenjie Zhang

Lexicase selection is a semantic-aware parent selection method, which assesses individual test cases in a randomly-shuffled data stream. It has demonstrated success in multiple research areas including genetic programming, genetic…

Neural and Evolutionary Computing · Computer Science 2022-08-24 Li Ding , Ryan Boldi , Thomas Helmuth , Lee Spector

Simulated landscapes have been used for decades to evaluate search strategies whose goal is to find the landscape location with maximum fitness. Applications include modeling the capacity of enzymes to catalyze reactions and the clinical…

Neural and Evolutionary Computing · Computer Science 2013-02-15 Jeffrey S. Buzas , Jeffrey Dinitz

A fitness landscape is a mapping from the space of genetic sequences, which is modeled here as a binary hypercube of dimension $L$, to the real numbers. We consider random models of fitness landscapes, where fitness values are assigned…

Populations and Evolution · Quantitative Biology 2015-06-16 Benjamin Schmiegelt , Joachim Krug

We discuss an analysis of Constraint Satisfaction problems, such as Sphere Packing, K-SAT and Graph Coloring, in terms of an effective energy landscape. Several intriguing geometrical properties of the solution space become in this light…

Statistical Mechanics · Physics 2007-08-28 Florent Krzakala , Jorge Kurchan

Gene expression profiles are essential in identifying different cancer phenotypes. Clustering gene expression datasets can provide accurate identification of cancerous cell lines, but this task is challenging due to the small sample size…

Biological Physics · Physics 2023-05-30 Yuchen Wu , Luke Dicks , David J. Wales

Lexicase selection is a successful parent selection method in genetic programming that has outperformed other methods across multiple benchmark suites. Unlike other selection methods that require explicit parameters to function, such as…

Neural and Evolutionary Computing · Computer Science 2024-07-23 Jose Guadalupe Hernandez , Anil Kumar Saini , Jason H. Moore

We consider a community finding problem called Co-located Community Detection (CCD) over geo-social networks, which retrieves communities that satisfy both high structural tightness and spatial closeness constraints. To provide a solution…

Databases · Computer Science 2019-09-04 Xiuwen Zheng , Qiyu Liu , Amarnath Gupta