Investigating the correlation between indicators of predictive diagnostic optimisation and search result quality

作者: I. Moser , Marius Gheorghita , Aldeida Aleti

DOI: 10.1016/J.INS.2016.08.021

关键词: Quadratic assignment problemData miningQuality (business)Set (abstract data type)Reliability (statistics)Heuristic (computer science)Homogeneity (statistics)Local optimumMathematical optimizationMathematicsLocal search (optimization)

摘要: Combinatorially complex problems are often optimised with heuristic solvers which generally provide acceptable results but no indication as to how the quality achieved compares best possible. In previous work we have introduced Predictive Diagnostic Optimisation (PDO), a based on local search that provides information about space structure through set of indicators whilst searching for optimal solution. PDO can collect useful process, such variation in number steps needed locally optimise random solution and error between expected actual qualities optimum, known prediction error. Given experimental quadratic assignment problem, it appears high coincides lower vice versa. This confirms this assumption help two additional also shows reliability is challenged by structural properties lead homogeneity optima basins. Conversely, increases an indicator quality.

参考文章(58)
S. S. Panwalkar, R. A. Dudek, M. L. Smith, Sequencing Research and the Industrial Scheduling Problem Springer, Berlin, Heidelberg. pp. 29- 38 ,(1973) , 10.1007/978-3-642-80784-8_2
Rainer E. Burkard, Ulrich Derigs, The Linear Bottleneck Assignment Problem Lecture Notes in Economics and Mathematical Systems. pp. 16- 24 ,(1980) , 10.1007/978-3-642-51576-7_2
Enda Ridge, Daniel Kudenko, An analysis of problem difficulty for a class of optimisation heuristics european conference on evolutionary computation in combinatorial optimization. pp. 198- 209 ,(2007) , 10.1007/978-3-540-71615-0_18
Leonardo Vanneschi, Marco Tomassini, Philippe Collard, Sébastien Vérel, Negative slope coefficient: a measure to characterize genetic programming fitness landscapes european conference on genetic programming. ,vol. 3905, pp. 178- 189 ,(2006) , 10.1007/11729976_16
Lionel Barnett, Ruggedness and neutrality—the NKp family of fitness landscapes ALIFE Proceedings of the sixth international conference on Artificial life. pp. 18- 27 ,(1998)
Tomoko Ohta, Evolution by nearly-neutral mutations Mutation and Evolution. ,vol. 102, pp. 83- 90 ,(1998) , 10.1007/978-94-011-5210-5_8
B. Naudts, A. Verschoren, Epistasis and deceptivity Bulletin of the Belgian Mathematical Society - Simon Stevin. ,vol. 6, pp. 147- 154 ,(1999) , 10.36045/BBMS/1103149975
Leonardo Vanneschi, Manuel Clergue, Philippe Collard, Marco Tomassini, Sébastien Vérel, Fitness Clouds and Problem Hardness in Genetic Programming Genetic and Evolutionary Computation – GECCO 2004. ,vol. 3103, pp. 690- 701 ,(2004) , 10.1007/978-3-540-24855-2_76
Peter F. Stadler, Santa Fe Institute, Towards a theory of landscapes Complex Systems and Binary Networks. pp. 78- 163 ,(1995) , 10.1007/BFB0103571
Walter Fontana, Peter F. Stadler, Erich G. Bornberg-Bauer, Thomas Griesmacher, Ivo L. Hofacker, Manfred Tacker, Pedro Tarazona, Edward D. Weinberger, Peter Schuster, RNA folding and combinatory landscapes. Physical Review E. ,vol. 47, pp. 2083- 2099 ,(1993) , 10.1103/PHYSREVE.47.2083