Geodesic
Data Loss Recovery at Symbolic Sequences Due to Matrix Formulation of Frequency Dictionary
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 2 (2009) no. 1, pp. 105-115.

Voir la notice de l'article provenant de la source Math-Net.Ru

Data loss recovery is provided due to the principle of maximal likelihood. The matrix representations of the frequency dictionary allow one to calculate the number of possible fillings and their probabilities. The method is applied to various areas of knowledge, for example to communication theory and molecular biology.
Keywords: data loss recovery, frequency dictionary, relative entropy. 
@article{JSFU_2009_2_1_a9,
     author = {Anton G. Rubtsov and Mariya Yu. Senashova},
     title = {Data {Loss} {Recovery} at {Symbolic} {Sequences} {Due} to {Matrix} {Formulation} of {Frequency} {Dictionary}},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {105--115},
     publisher = {mathdoc},
     volume = {2},
     number = {1},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2009_2_1_a9/}
}
TY  - JOUR
AU  - Anton G. Rubtsov
AU  - Mariya Yu. Senashova
TI  - Data Loss Recovery at Symbolic Sequences Due to Matrix Formulation of Frequency Dictionary
JO  - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
PY  - 2009
SP  - 105
EP  - 115
VL  - 2
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JSFU_2009_2_1_a9/
LA  - ru
ID  - JSFU_2009_2_1_a9
ER  - 
%0 Journal Article
%A Anton G. Rubtsov
%A Mariya Yu. Senashova
%T Data Loss Recovery at Symbolic Sequences Due to Matrix Formulation of Frequency Dictionary
%J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
%D 2009
%P 105-115
%V 2
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JSFU_2009_2_1_a9/
%G ru
%F JSFU_2009_2_1_a9
Anton G. Rubtsov; Mariya Yu. Senashova. Data Loss Recovery at Symbolic Sequences Due to Matrix Formulation of Frequency Dictionary. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 2 (2009) no. 1, pp. 105-115. http://geodesic.mathdoc.fr/item/JSFU_2009_2_1_a9/

[1] A. N. Gorban, D. A. Rossiev, D. C. Wunsch II, “Neural Network Modelling of Data with Gaps”, Radioelektronika. Informatika. Upravlenie, 2000, no. 1, 47–55

[2] M. Yu. Senashova, M. G. Sadovskii, A. G. Rubtsov, “Kineticheskaya mashina Kirdina v probleme vosstanovleniya otsutstvuyuschikh fragmentov simvolnykh posledovatelnostei”, Polzunovskii almanakh (Barnaul), 2006, no. 4, 131–133

[3] M. Yu. Senashova, A. G. Rubtsov, M. G. Sadovskii, “Primenenie kineticheskoi mashiny Kirdina dlya vosstanovleniya uteryannykh dannykh v simvolnykh posledovatelnostyakh”, Informatsionnye i matematicheskie tekhnologii v nauchnykh issledovaniyakh, Trudy XI mezhdunarodnoi konferentsii “Informatsionnye i matematicheskie tekhnologii v nauchnykh issledovaniyakh”, Chast II, ISEM SO RAN, Irkutsk, 2006, 168–176

[4] A. N. Gorban, Obkhod ravnovesiya, Nauka, Novosibirsk, 1984 | MR