HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Reports

Left Pattern Matching Predictor is Optimal Over Bernoulli Source Models

Philippe Jacquet 1
1 HIPERCOM - High performance communication
Inria Paris-Rocquencourt, UP11 - Université Paris-Sud - Paris 11, Inria Saclay - Ile de France, X - École polytechnique, CNRS - Centre National de la Recherche Scientifique : UMR
Abstract : We show that the Left Pattern Matching predictor is perfect and optimal over Bernoulli source models. We prove the proposition by induction on the size of the text. We reduce the size of a text by using the simple trick of enlarging the size of the alphabet via the use of bucket symbols. We prove the induction on an enlarged problem on weighted pattern matching with the use of pairing cost matrix.
Keywords : BERNOULLI SOURCES ALPHABET PATTERN MATCHING INFORMATION THEORY PREDICTOR
Document type :
Reports
Complete list of metadata
https://hal.inria.fr/inria-00073110
Contributor : Rapport de Recherche Inria Connect in order to contact the contributor
Submitted on : Wednesday, May 24, 2006 - 11:52:54 AM
Last modification on : Friday, February 4, 2022 - 3:10:15 AM
Long-term archiving on: : Sunday, April 4, 2010 - 11:34:42 PM

Files

Vignette du document
RR-3571.pdf

Identifiers

  • HAL Id : inria-00073110, version 1

Collections

INRIA | INRIA-RRRT | X | CNRS | LARA | UNIV-PARIS-SACLAY | INRIA2

Citation

Philippe Jacquet. Left Pattern Matching Predictor is Optimal Over Bernoulli Source Models. [Research Report] RR-3571, INRIA. 1998. ⟨inria-00073110⟩

Export

BibTeX TEI DC DCterms EndNote Datacite

Share

Metrics

Record views

54

Files downloads

59

 

Contact                    Legal Notice                    Personal Data