|Appears in Collections:||Computing Science and Mathematics Conference Papers and Proceedings|
|Peer Review Status:||Refereed|
|Author(s):||Thomson, Sarah L|
|Title:||On the Fractal Nature of Local Optima Networks|
|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. https://doi.org/10.1007/978-3-319-77449-7_2|
|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 http://dx.doi.org/10.1007/978-3-319-77449-7_2|
|evocop2018fractalLONs.pdf||Fulltext - Accepted Version; : Final, post-refereed version||1.44 MB||Adobe PDF||View/Open|
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