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 Paper Abstract and Keywords Presentation 2020-04-24 15:05 [Invited Talk] AIFV Code Construction Method and Optimization Method for Average Performance of Markov Chains with Finite StatesKen-ichi Iwata, Ryusei Fujita (Univ. of Fukui), Hirosuke Yamamoto (Univ. of Tokyo) PN2020-3 Abstract (in Japanese) (See Japanese page) (in English) We describe a construction method to design the optimal binary AIFV codes, which are defined by Yamamoto, Tsuchihashi, Honda, and make generalizations of the optimization method. We can apply the construction method to optimize the global average performance of the Markov chains, which satisfy the following conditions (a)--(c): (a) Each state \$s_i\$, \$i in mathcal{I}_m :={0, 1, cdots, allowbreak m-1}\$ has a local performance function \$f_i(t_i)\$, which can be optimized by choosing a discrete parameter \$t_i\$ optimally. (b) Each state \$s_i\$ has a transition probability function \$p_{s_j|s_i}(t_i)\$, which depends on \$t_i\$, from state \$s_i\$ to state \$s_j\$, and the Markov chain has a unique stationary distribution \$(pi_i(bm{t}):i in mathcal{I}_m)\$ for each set of the parameters \$bm{t} := (t_i:i in mathcal{I}_m)\$. (c) There exists at least one state \$s_{kappa}\$ such that \$p_{s_{kappa}|s_i}(t_i) > 0\$ for all \$iin mathcal{I}_{m}\$. Keyword (in Japanese) (See Japanese page) (in English) Noiseless data compression / source coding / AIFV codes / AIFV-m codes / Markov chain / average performance optimization / / Reference Info. IEICE Tech. Rep., vol. 120, no. 11, PN2020-3, pp. 15-21, April 2020. Paper # PN2020-3 Date of Issue 2020-04-17 (PN) ISSN Print edition: ISSN 0913-5685  Online edition: ISSN 2432-6380 Copyrightandreproduction All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034) Download PDF PN2020-3

 Conference Information Committee PN Conference Date 2020-04-24 - 2020-04-24 Place (in Japanese) (See Japanese page) Place (in English) Online Topics (in Japanese) (See Japanese page) Topics (in English) Paper Information Registration To PN Conference Code 2020-04-PN Language Japanese Title (in Japanese) (See Japanese page) Sub Title (in Japanese) (See Japanese page) Title (in English) AIFV Code Construction Method and Optimization Method for Average Performance of Markov Chains with Finite States Sub Title (in English) Keyword(1) Noiseless data compression Keyword(2) source coding Keyword(3) AIFV codes Keyword(4) AIFV-m codes Keyword(5) Markov chain Keyword(6) average performance optimization Keyword(7) Keyword(8) 1st Author's Name Ken-ichi Iwata 1st Author's Affiliation University of Fukui (Univ. of Fukui) 2nd Author's Name Ryusei Fujita 2nd Author's Affiliation University of Fukui (Univ. of Fukui) 3rd Author's Name Hirosuke Yamamoto 3rd Author's Affiliation The University of Tokyo (Univ. of Tokyo) 4th Author's Name 4th Author's Affiliation () 5th Author's Name 5th Author's Affiliation () 6th Author's Name 6th Author's Affiliation () 7th Author's Name 7th Author's Affiliation () 8th Author's Name 8th Author's Affiliation () 9th Author's Name 9th Author's Affiliation () 10th Author's Name 10th Author's Affiliation () 11th Author's Name 11th Author's Affiliation () 12th Author's Name 12th Author's Affiliation () 13th Author's Name 13th Author's Affiliation () 14th Author's Name 14th Author's Affiliation () 15th Author's Name 15th Author's Affiliation () 16th Author's Name 16th Author's Affiliation () 17th Author's Name 17th Author's Affiliation () 18th Author's Name 18th Author's Affiliation () Speaker 1 Date Time 2020-04-24 15:05:00 Presentation Time 50 Registration for PN Paper # IEICE-PN2020-3 Volume (vol) IEICE-120 Number (no) no.11 Page pp.15-21 #Pages IEICE-7 Date of Issue IEICE-PN-2020-04-17