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Appears in Collections:Computing Science and Mathematics Conference Papers and Proceedings
Peer Review Status: Refereed
Author(s): Thomson, Sarah L
Verel, Sébastien
Ochoa, Gabriela
Veerapen, Nadarajen
McMenemy, Paul
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Title: On the Fractal Nature of Local Optima Networks
Editor(s): Liefooghe, A
López-Ibáñez, M
Citation: Thomson SL, Verel S, Ochoa G, Veerapen N & McMenemy P (2018) On the Fractal Nature of Local Optima Networks. In: Liefooghe A & López-Ibáñez M (eds.) Evolutionary Computation in Combinatorial Optimization. EvoCOP 2018.. Lecture Notes in Computer Science, 10782. EvoCOP 2018 - The 18th European Conference on Evolutionary Computation in Combinatorial Optimisation, Parma, Italy, 04.04.2018-06.04.2018. Cham, Switzerland: Springer, pp. 18-33.
Issue Date: 31-Dec-2018
Date Deposited: 17-Jan-2018
Series/Report no.: Lecture Notes in Computer Science, 10782
Conference Name: EvoCOP 2018 - The 18th European Conference on Evolutionary Computation in Combinatorial Optimisation
Conference Dates: 2018-04-04 - 2018-04-06
Conference Location: Parma, Italy
Abstract: A Local Optima Network represents fitness landscape connectivity within the space of local optima as a mathematical graph. In certain other complex networks or graphs there have been recent observations made about inherent self-similarity. An object is said to be self-similar if it shows the same patterns when measured at different scales; another word used to convey self-similarity is fractal. The fractal dimension of an object captures how the detail observed changes with the scale at which it is measured, with a high fractal dimension being associated with complexity. We conduct a detailed study on the fractal nature of the local optima networks of a benchmark combinatorial optimisation problem (NK Landscapes). The results draw connections between fractal characteristics and performance by three prominent metaheuristics: Iterated Local Search, Simulated Annealing, and Tabu Search.
Status: AM - Accepted Manuscript
Rights: Publisher policy allows this work to be made available in this repository. Published in Liefooghe A., López-Ibáñez M. (eds) Evolutionary Computation in Combinatorial Optimization. EvoCOP 2018. Lecture Notes in Computer Science, vol 10782 by Springer. The final publication is available at Springer via

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