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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 States
Ken-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
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  
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)
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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 

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