A context tree weighting algorithm with a finite window
Willems and colleagues proposed the context tree weighting (CTW) method. It is a method for probability estimation, by which the tree source serving the standard model for the data compression is compressed optimally in the quadratic sense with a high computational efficiency, under the condition th...
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| Vydáno v: | Electronics & communications in Japan. Part 3, Fundamental electronic science Ročník 83; číslo 1; s. 21 - 30 |
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| Hlavní autoři: | , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
New York
John Wiley & Sons, Inc
01.01.2000
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| Témata: | |
| ISSN: | 1042-0967, 1520-6440 |
| On-line přístup: | Získat plný text |
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| Shrnutí: | Willems and colleagues proposed the context tree weighting (CTW) method. It is a method for probability estimation, by which the tree source serving the standard model for the data compression is compressed optimally in the quadratic sense with a high computational efficiency, under the condition that the parameters are unknown and the model is unknown. This article intends to apply the CTW method to the nonstationary source, which is a problem that has not been investigated. A compression algorithm with a forgetting mechanism and with a finite window (FWCTW method) is proposed. As the first step, the CTW method in general is discussed. A lemma concerning inferior probability preservation is presented, which serves as a key to the various realization problems. Using that lemma, the validity of the realization of the FWCTW method is shown. Then, for the case of a stationary memoryless source, the redundancy has asymptotic optimality in regard to the window length. The effectiveness of the application to the general constant‐interval nonstationary tree source is shown by experiment. © 1999 Scripta Technica, Electron Comm Jpn Pt 3, 83(1): 21–30, 2000 |
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| Bibliografie: | ark:/67375/WNG-RBT911W2-0 istex:167407F39521F138DCF0C5B13315C94152DDE475 ArticleID:ECJC3 |
| ISSN: | 1042-0967 1520-6440 |
| DOI: | 10.1002/(SICI)1520-6440(200001)83:1<21::AID-ECJC3>3.0.CO;2-X |