2009/07/18 by Yourim Yoon, Yong-Hyuk Kim, Yoon, Yourim +6
Biochemistry, Genetics and Molecular Biology · Computer Science · #Discrete Mathematics (cs.DM) #Evolutionary Algorithms and Applications #FOS: Computer and information sciences #Gene Regulatory Network Analysis #Genome Rearrangement Algorithms #Neural and Evolutionary Computing (cs.NE) #cs.DM #cs.NE
paper · pdf · doi:10.48550/arxiv.0907.3202
21 pages, 3 figures
arxiv created 2009/07/18 · openalex publication_date 2009/07/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we present that genotype-phenotype mapping can be theoretically interpreted using the concept of quotient space in mathematics. Quotient space can be considered as mathematically-defined phenotype space in the evolutionary computation theory. The quotient geometric crossover has the effect of reducing the search space actually searched by geometric crossover, and it introduces problem knowledge in the search by using a distance better tailored to the specific solution interpretation. Quotient geometric crossovers are directly applied to the genotype space but they have the effect of the crossovers performed on phenotype space. We give many example applications of the quotient geometric crossover.