2-bit Flip Mutation Elementary Fitness Landscapes
نویسنده
چکیده
Genetic Programming parity with only XOR is not elementary. GP parity can be represented as the sum of k/2 + 1 elementary landscapes. Statistics, including fitness distance correlation (FDC), of Parity’s fitness landscape are calculated. Using Walsh analysis the eigen values and eigenvectors of the Laplacian of the two bit flip fitness landscape are given. Tests support λ/d as a measure of the ruggedness of elementary landscapes for predicting problem difficulty. An elementary needle in a haystack (NIH) landscape is given.
منابع مشابه
Exact computation of the expectation surfaces for uniform crossover along with bit-flip mutation
a r t i c l e i n f o a b s t r a c t Keywords: Uniform crossover Bit-flip mutation Walsh decomposition Landscape theory Fitness landscapes Uniform crossover and bit-flip mutation are two popular operators used in genetic algorithms to generate new solutions in an iteration of the algorithm when the solutions are represented by binary strings. We use the Walsh decomposition of pseudo-Boolean fu...
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