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 |
Online edition: ISSN 2432-6380 |
Copyright and reproduction |
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) |
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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) |
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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) |
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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 |
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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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Speaker |
Author-1 |
Date Time |
2020-04-24 15:05:00 |
Presentation Time |
50 minutes |
Registration for |
PN |
Paper # |
PN2020-3 |
Volume (vol) |
vol.120 |
Number (no) |
no.11 |
Page |
pp.15-21 |
#Pages |
7 |
Date of Issue |
2020-04-17 (PN) |
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