@article{journals/corr/abs-0809-2965, title = {On Time-Bounded Incompressibility of Compressible Strings}, author = {Edgar G. Daylight and Wouter M. Koolen and Paul M. B. Vitányi}, journal = {CoRR}, note = {informal publication}, url = {http://dblp.uni-trier.de/db/journals/corr/corr0809.html#abs-0809-2965}, volume = {abs/0809.2965}, year = {2008}, biburl = {http://www.bibsonomy.org/bibtex/2b8bad89cc43610b2310de2b456b084be/dblp}, description = {dblp}, ee = {http://arxiv.org/abs/0809.2965}, date = {2008-10-02}, keywords = {dblp } } @article{journals/corr/abs-0809-2754, title = {Algorithmic information theory}, author = {Peter D. Grunwald and Paul M. B. Vitányi}, journal = {CoRR}, note = {informal publication}, url = {http://dblp.uni-trier.de/db/journals/corr/corr0809.html#abs-0809-2754}, volume = {abs/0809.2754}, year = {2008}, biburl = {http://www.bibsonomy.org/bibtex/283573a93c867e03b5576b0aec3c19452/dblp}, description = {dblp}, ee = {http://arxiv.org/abs/0809.2754}, date = {2008-10-02}, keywords = {dblp } } @article{journals/corr/abs-0809-2553, title = {Normalized Information Distance}, author = {Paul M. B. Vitanyi and Frank J. Balbach and Rudi Cilibrasi and Ming Li}, journal = {CoRR}, note = {informal publication}, url = {http://dblp.uni-trier.de/db/journals/corr/corr0809.html#abs-0809-2553}, volume = {abs/0809.2553}, year = {2008}, biburl = {http://www.bibsonomy.org/bibtex/2072779332d189fac1eb394f616d53ca8/dblp}, description = {dblp}, ee = {http://arxiv.org/abs/0809.2553}, date = {2008-10-02}, keywords = {dblp } } @article{journals/corr/abs-0809-2546, title = {Depth as Randomness Deficiency}, author = {Luis Antunes and Armando Matos and Andre Souto and Paul M. B. Vitányi}, journal = {CoRR}, note = {informal publication}, url = {http://dblp.uni-trier.de/db/journals/corr/corr0809.html#abs-0809-2546}, volume = {abs/0809.2546}, year = {2008}, biburl = {http://www.bibsonomy.org/bibtex/20be5d235ee402554da0a2627623df64a/dblp}, description = {dblp}, ee = {http://arxiv.org/abs/0809.2546}, date = {2008-10-02}, keywords = {dblp } } @incollection{reference/algo/Vitanyi08, title = {Registers.}, author = {Paul M. B. Vitányi}, booktitle = {Encyclopedia of Algorithms}, crossref = {reference/algo/2008}, editor = {Ming-Yang Kao}, publisher = {Springer}, url = {http://dblp.uni-trier.de/db/reference/algo/algo2008.html#Vitanyi08}, year = {2008}, biburl = {http://www.bibsonomy.org/bibtex/275116174aba9b1f86a00c49a4eea1d49/dblp}, description = {dblp}, ee = {http://dx.doi.org/10.1007/978-0-387-30162-4_338}, isbn = {978-0-387-30162-4}, date = {2008-09-17}, keywords = {dblp } } @article{ChaterVitanyi03, title = {Simplicity: a unifying principle in cognitive science?}, author = {N. Chater and P. Vitanyi}, journal = {Trends in Cognitive Sciences}, pages = {19-22}, volume = {7}, year = {2003}, biburl = {http://www.bibsonomy.org/bibtex/23b1921adb031b2597bd40ee59947a832/brian.mingus}, description = {CCNLab BibTeX}, keywords = {cogn } } @article{cilibrasi03compression, title = {Clustering by compression}, author = {Rudi Cilibrasi and Paul Vitanyi}, journal = {IEEE Trans. Information Theory}, number = {4}, url = {http://arxiv.org/abs/cs/0312044}, volume = {51}, year = {2005}, biburl = {http://www.bibsonomy.org/bibtex/2d608ba59a20b45b47e7089e331310525/msn}, howpublished_ = {Cornell University}, language = {english}, keywords = {cites.gradu mrefs research.clustering science.statistics } } @article{Vitanyi:2000:DEP, title = {A discipline of evolutionary programming}, author = {Paul Vitanyi}, journal = {Theoretical Computer Science}, month = {28 June}, number = {1--2}, pages = {3--23}, url = {http://www.elsevier.nl/gej-ng/10/41/16/175/21/22/article.pdf}, volume = {241}, year = {2000}, biburl = {http://www.bibsonomy.org/bibtex/23c6e75e2c0433cd977a2a9c60c559af4/brazovayeye}, abstract = {Genetic fitness optimization using small populations or small population updates across generations generally suffers from randomly diverging evolutions. We propose a notion of highly probable fitness optimization through feasible evolutionary computing runs on small size populations. Based on rapidly mixing Markov chains, the approach pertains to most types of evolutionary genetic algorithms, genetic programming and the like. We establish that for systems having associated rapidly mixing Markov chains and appropriate stationary distributions the new method finds optimal programs (individuals) with probability almost 1. To make the method useful would require a structured design methodology where the development of the program and the guarantee of the rapidly mixing property go hand in hand. We analyze a simple example to show that the method is implementable. More significant examples require theoretical advances, for example with respect to the Metropolis filter.}, issn = {0304-3975}, size = {21 pages}, bibdate = {Tue Oct 31 11:38:29 MST 2000}, notes = {Update of \cite{alt96*67} Presented at Dagstuhl Feb 2004. Generic to evolutionary computation, rather than specifically on GP.}, coden = {TCSCDI}, keywords = {Algorithms, Artificial Complexity, Computational Computing, Data Evolutionary Intelligence, Learning, Multiagent Neural Structures Systems algorithms, and genetic programming, } } @inproceedings{alt96*67, title = {Genetic fitness optimization using rapidly mixing {Markov} chains}, address = {Berlin}, author = {Paul Vitanyi}, booktitle = {Proceedings of the 7th International Workshop on Algorithmic Learning Theory}, editor = {Setsuo Arikawa and Arun K. Sharma}, month = {October~23--25}, pages = {67--82}, publisher = {Springer-Verlag}, series = {LNAI}, volume = {1160}, year = {1996}, biburl = {http://www.bibsonomy.org/bibtex/2a15973321d28205cf9da48b038cdb41a/brazovayeye}, isbn = {3-540-61863-5}, notes = {see also \cite{vitanyi:1997:gfourmmc} and \cite{Vitanyi:2000:DEP}}, keywords = {imported } } @techreport{vitanyi:1997:gfourmmc, title = {Genetic Fitness Optimization Using Rapidly Mixing Markov Chains}, address = {Computer Science, Royal Holloway, Egham, Surrey, England}, author = {Paul Vitanyi}, institution = {NeuroCOLT}, month = {February}, number = {NC-TR-005}, type = {technical report}, url = {http://www.neurocolt.com/abs/1997/abs97005.html}, year = {1997}, biburl = {http://www.bibsonomy.org/bibtex/22eaf8620b682c12d878e74029d6bcefd/brazovayeye}, abstract = {A notion of highly probable fitness optimization through evolutionary computing runs on small size populations in a very general setting is proposed. This has applications to evolutionary learning. Based on rapidly mixing Markov chains, the approach pertains to most types of evolutionary genetic algorithms, genetic programming and the like. For systems having associated rapidly mixing Markov chains and appropriate stationary distributions the new method finds optimal programs (individuals) with probability almost 1. Algorithmically, the novel approach prescribes a strategy of executing many short computation runs, rather than one long computation run. Given an arbitrary evolutionary program it may be infeasible to determine whether its associated matrix is rapidly mixing. In our proposed structured evolutionary program discipline, the development of the program and the guaranty of the rapidly mixing property go hand in hand. We conclude with a tentative toy example.}, size = {17 pages}, email = {neurocolt@dcs.rhbnc.ac.uk}, notes = {See also \cite{alt96*67} and \cite{Vitanyi:2000:DEP} Although refers several time to GP, approach is evolutionary as a whole, ie not just GP}, keywords = {computation evolutionary } }