- author = "John R. Woodward and Ruibin Bai",
- title = "Canonical representation genetic programming",
- booktitle = "GEC '09: Proceedings of the first ACM/SIGEVO Summit on Genetic and Evolutionary Computation",
- year = "2009",
- editor = "Lihong Xu and Erik D. Goodman and Guoliang Chen and Darrell Whitley and Yongsheng Ding",
- bibsource = "DBLP, http://dblp.uni-trier.de",
- pages = "585--592",
- address = "Shanghai, China",
- organisation = "SigEvo",
-
URL = "
http://www.cs.nott.ac.uk/~jrw/publications/canonical.pdf",
-
DOI = "
doi:10.1145/1543834.1543914",
- publisher = "ACM",
- publisher_address = "New York, NY, USA",
- month = jun # " 12-14",
- isbn13 = "978-1-60558-326-6",
- keywords = "genetic algorithms, genetic programming, No Free Lunch Theorem (NFL), canonical representation, standard form, evolutionary computation, bias, symmetric functions, inverse functions, complementary functions, isomorphic representations",
- size = "8 pages",
- abstract = "Search spaces sampled by the process of Genetic Programming often consist of programs which can represent a function in many different ways. Thus, when the space is examined it is highly likely that different programs may be tested which represent the same function, which is an undesirable waste of resources. It is argued that, if a search space can be constructed where only unique representations of a function are permitted, then this will be more successful than employing multiple representations. When the search space consists of canonical representations it is called a canonical search space, and when Genetic Programming is applied to this search space, it is called Canonical Representation Genetic Programming. The challenge lies in constructing these search spaces. With some function sets this is a trivial task, and with some function sets this is impossible to achieve. With other function sets it is not clear how the goal can be achieved. In this paper, we specifically examine the search space defined by the function set {+,-,*,/} and the terminal set {x, 1}. Drawing inspiration from the fundamental theorem of arithmetic, and results regarding the fundamental theorem of algebra, we construct a representation where each function that can be constructed with this primitive set has a unique representation.",
-
notes = "
best paper in conference. Broken March 2021 http://tech.groups.yahoo.com/group/genetic_programming/message/5687
Also known as \cite{DBLP:conf/gecco/WoodwardB09} part of \cite{DBLP:conf/gec/2009}",
