Proceedings of the Genetic and Evolutionary Computation Conference 2018
DOI: 10.1145/3205455.3205483
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Adaptive threshold parameter estimation with recursive differential grouping for problem decomposition

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Cited by 52 publications
(24 citation statements)
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“…Furthermore, one global threshold value may not be sufficient for determining interactions of variables in subcomponents having a dissimilar contribution to the fitness value. To solve these problems, a decomposition method inspired by DG2 and RDG was proposed, called RDG2 [49]. In RDG2, the threshold value is adaptively estimated based on the computational round-off errors of RDG.…”
Section: Review On Problem Decomposition Approaches Using CCmentioning
confidence: 99%
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“…Furthermore, one global threshold value may not be sufficient for determining interactions of variables in subcomponents having a dissimilar contribution to the fitness value. To solve these problems, a decomposition method inspired by DG2 and RDG was proposed, called RDG2 [49]. In RDG2, the threshold value is adaptively estimated based on the computational round-off errors of RDG.…”
Section: Review On Problem Decomposition Approaches Using CCmentioning
confidence: 99%
“…By exploring the interdependency information in the problem, a number of detection-based static decomposition techniques proposed to make the near-optimal decomposition. Examples of such static decomposition methods include CCVIL [31], DG [44], XDG [45], GDG [46], RDG [10], D-GDG [48], RDG2 [49], and RDG3 [50]. These methods are also called automatic decomposition strategies as they undertake the variable interactions to group the variables [10].…”
Section: Review On Problem Decomposition Approaches Using CCmentioning
confidence: 99%
“…However in practice, the value of λ for separable decision variables may be non-zero, due to the computational round-off errors incurred by the floating-point operations [15]. In [39], we applied the technique suggested by DG2 [15] to estimate an upper bound on the round-off errors associated with the calculation of the non-linearity term λ: Here…”
Section: Recursive Differential Groupingmentioning
confidence: 99%
“…where µ M is a machine dependent constant. The upper bound is then used as the threshold value in RDG2 [39] to distinguish between separable and non-separable variables: With Theorem 1, the interaction between two subsets of decision variables (X 1 and X 2 ) can be identified by the following procedure: 1) Set all the decision variables to the lower bounds (lb) of the search space (x l,l ); 2) Perturb the decision variables X 1 of x l,l from the lower bounds to the upper bounds (ub), denoted as x u,l ; 3) Calculate the fitness change ∆ 1 between x l,l and x u,l ; 4) Perturb decision variables X 2 of x l,l (x u,l ) from lb to the middle of the search space, denoted as x l,m (x u,m ); 5) Calculate the fitness change ∆ 2 between x l,m and x u,m ; 6) If the difference (λ) between ∆ 1 and ∆ 2 is greater than the threshold ǫ, X 1 and X 2 interact.…”
Section: Recursive Differential Groupingmentioning
confidence: 99%
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