bibtype J - Journal Article
ARLID 0411049
utime 20240903170614.9
mtime 20060210235959.9
title (primary) (eng) Kolmogorov complexity, pseudorandom generators and statistical models testing
specification
page_count 13 s.
serial
ARLID cav_un_epca*0297163
ISSN 0023-5954
title Kybernetika
volume_id 38
volume 6 (2002)
page_num 747-759
publisher
name Ústav teorie informace a automatizace AV ČR, v. v. i.
keyword Kolmogorov complexity
keyword pseudorandom generators
keyword statistical models testing
author (primary)
ARLID cav_un_auth*0101205
name1 Šindelář
name2 Jan
institution UTIA-B
fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
author
ARLID cav_un_auth*0101069
name1 Boček
name2 Pavel
institution UTIA-B
full_dept Department of Stochastic Informatics
fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
COSATI 12B
cas_special
project
project_id GA102/99/1564
agency GA ČR
ARLID cav_un_auth*0004444
research CEZ:AV0Z1075907
abstract (eng) An attempt to formalize heuristic concepts like strings (sequence resp.) "typical" for a probability measure is stated in the paper. Both generating and testing of such strings is considered. Kolmogorov complexity theory is used as a tool. It is shown that no pseudorandom generator can produce long "typical" strings. The time complexity of pseudorandom generators with oracles capable to recognize "typical" strings is shown to be at least exponential with respect to the length of the output.
RIV BB
department SI
permalink http://hdl.handle.net/11104/0131136
ID_orig UTIA-B 20030036
arlyear 2002
mrcbU63 cav_un_epca*0297163 Kybernetika 0023-5954 Roč. 38 č. 6 2002 747 759 Ústav teorie informace a automatizace AV ČR, v. v. i.