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This ebook surveys key set of rules advancements among 1990 and 2012, with short descriptions, a unified pseudocode for every set of rules and downloadable software code. offers a taxonomy to explain similarities and modifications in addition to historic relationships.
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Extra resources for Contemporary Evolution Strategies
W ; /-CMA-ES, with index W denoting the weighted recombination. However, the simplified notation is motivated by arguing that the notation = W suggests two different numbers ( and W ), although it is in 17 According to , the suggestion to use weighted recombination within the CMA-ES is due to Ingo Rechenberg, based on personal communication in 1998. 22 2 Evolution Strategies both cases. Here, we adopt the simplified notation, and denote the CMA-ES with weighted recombination as . W ; /-CMA-ES.
W ; /-CMA-ES initializes the starting point of the search and the strategy parameters anew, so that the runs are independent of each other. For defining the termination criteria, the tolerance values Tx D 10 12 and Tf D 10 12 are used. Any other exogenous parameters are the same as in the . W ; /-CMA-ES. x1W / of the last d10 C 30n= e generations are identical or the difference between their maximum and minimum values is smaller than Tx . , vi < Tx 8i 2 f1; : : : ; ng. The third criterion, noeffectaxis, takes changes with respect to the main coordinate axes induced by C into account.
3 Multiobjective Optimization In single-objective optimization fitness values can be ordered to decide whether one solution is better than another. In multiobjective optimization, where fitness values are represented as vectors, such a strict ordering does not exist anymore. Solutions are partially ordered and based on the partial order solutions can be either dominated or non-dominated by other solutions. Hence there is not a single optimum to be found but a set of solutions which is called the Pareto set or Pareto front.