Abstract
In the last few years, fitness landscape analysis has seen an increase in interest due to the availability of large problem collections and research groups focusing on the development of a wide array of different optimization algorithms for diverse tasks. Instead of being able to rely on a single trusted method that is tuned and tweaked to the application more and more, new problems are investigated, where little or no experience has been collected. In an attempt to provide a more general criterion for algorithm and parameter selection other than “it works better than something else we tried”, sophisticated problem analysis and classification schemes are employed. In this work, we combine several of these analysis methods and evaluate the suitability of fitness landscape analysis for the task of algorithm selection.
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References
Weinberger, E.D.: Local properties of kauffman’s n-k model, a tuneably rugged energy landscape. Physical Review A 44(10), 6399–6413 (1991)
Jones, T.: Evolutionary Algorithms, Fitness Landscapes and Search. PhD thesis, University of New Mexico, Albuquerque, New Mexico (1995)
Pitzer, E., Affenzeller, M.: A Comprehensive Survey on Fitness Landscape Analysis. In: Fodor, J., Klempous, R., Suárez Araujo, C.P. (eds.) Recent Advances in Intelligent Engineering Systems. SCI, vol. 378, pp. 161–191. Springer, Heidelberg (2012)
Koopmans, T.C., Beckmann, M.: Assignment problems and the location of economic activities. Econometrica 25(1), 53–76 (1957)
Taillard, E.D.: Robust taboo search for the quadratic assignment problem. Parallel Computing 17, 443–455 (1991)
James, T., Rego, C., Glover, F.: Multistart tabu search and diversification strategies for the quadratic assignment problem. IEEE Transactions on Systems, Man and Cybernetics, Part A: Systems and Humans 39(3), 579–596 (2009)
Burkard, R.E., Karisch, S.E., Rendl, F.: QAPLIB - A quadratic assignment problem library. Journal of Global Optimization 10(4), 391–403 (1997)
Glover, F.: Tabu search – part I. ORSA Journal on Computing 1(3), 190–206 (1989)
Hansen, P., Mladenovic, N., Perez, J.: Variable neighbourhood search: methods and applications. Annals of Operations Research 175, 367–407 (2010)
Merz, P., Freisleben, B.: Fitness landscape analysis and memetic algorithms for the quadratic assignment problem. IEEE Transactions on Evolutionary Computation 4(4), 337–352 (2000)
Weinberger, E.: Correlated and uncorrelated fitness landscapes and how to tell the difference. Biological Cybernetics 63(5), 325–336 (1990)
Vassilev, V.K., Fogarty, T.C., Miller, J.F.: Information characteristics and the structure of landscapes. Evol. Comput. 8(1), 31–60 (2000)
Wagner, S.: Heuristic Optimization Software Systems - Modeling of Heuristic Optimization Algorithms in the HeuristicLab Software Environment. PhD thesis, Johannes Kepler University, Linz, Austria (2009)
Chicano, J.F., Luque, G., Alba, E.: Autocorrelation measures for the quadratic assignment problem. Applied Mathematics Letters 25(4), 698–705 (2012)
Goldberger, J., Roweis, S., Hinton, G., Salakhutdinov, R.: Neighbourhood components analysis. In: Saul, L.K., Weiss, Y., Bottou, L. (eds.) Advances in Neural Information Processing Systems 17, pp. 513–520. MIT Press, Cambridge (2005)
Pitzer, E., Vonolfen, S., Beham, A., Affenzeller, M., Bolshakov, V., Merkuryeva, G.: Structural analysis of vehicle routing problems using general fitness landscape analysis and problem specific measures. In: 14th International Asia Pacific Conference on Computer Aided System Theory, pp. 36–38 (2012)
Pitzer, E., Beham, A., Affenzeller, M.: Generic hardness estimation using fitness and parameter landscapes applied to robust taboo search and the quadratic assignment problem. In: GECCO 2012 Companion, pp. 393–400 (2012)
Pitzer, E., Beham, A., Affenzeller, M.: Correlation of Problem Hardness and Fitness Landscapes in the Quadratic Assignment Problem. In: Advanced Method and Applications in Computational Intelligence, pp. 163–192. Springer (in press, 2013)
Hall, M., Frank, E., Holmes, G., Pfahringer, B., Reutemann, P., Witten, I.H.: The weka data mining software: An update. SIGKDD Explorations 11(1), 10–18 (2009)
Platt, J.C.: Fast Training of Support Vector Machines using Sequential Minimal Optimization. In: Advances in Kernel Methods: Support Vector Learning, pp. 185–208. MIT Press (1998)
Macready, W.G., Wolpert, D.H.: What makes an optimization problem hard? Complexity 5, 40–46 (1996)
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Pitzer, E., Beham, A., Affenzeller, M. (2013). Automatic Algorithm Selection for the Quadratic Assignment Problem Using Fitness Landscape Analysis. In: Middendorf, M., Blum, C. (eds) Evolutionary Computation in Combinatorial Optimization. EvoCOP 2013. Lecture Notes in Computer Science, vol 7832. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37198-1_10
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DOI: https://doi.org/10.1007/978-3-642-37198-1_10
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