Title
Gray, binary and real valued encodings: quad search and locality proofs
Abstract
This paper looks at proofs concerning Gray codes and the locality of local search; it is shown that in some cases such proofs can be generalized to Binary and real valued encodings, while in other cases such proofs do not hold for Binary encodings. The paper also looks at a modified form of Quad Search that is proven to converge in under 2L evaluations to a global optimum on unimodal 1-D bijective functions and to a local optimum on multimodal 1-D bijective functions. Quad Search directly exploits the locality of the Gray code representation.
Year
DOI
Venue
2005
10.1007/11513575_2
FOGA
Keywords
Field
DocType
locality proof,modified form,gray code representation,quad search,binary encodings,1-d bijective function,gray code,local search
Discrete mathematics,Locality,Bijection,Local optimum,Computer science,Gray code,Mathematical proof,Local search (optimization),Genetic algorithm,Binary number
Conference
Volume
ISSN
ISBN
3469
0302-9743
3-540-27237-2
Citations 
PageRank 
References 
4
0.44
8
Authors
2
Name
Order
Citations
PageRank
L. Darrell Whitley16631968.30
Jonathan E. Rowe245856.35