Paper Abstract and Keywords |
Presentation |
2018-05-25 14:30
Fast Aggregation in Probabilistic Population Protocols Ryota Eguchi, Taisuke Izumi (Nagoya Inst. of Tech.) COMP2018-6 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
In this paper, we propose a new aggregation algorithm in probabilistic population protocol model with a base station. Specifically, for any monoid $(X, +)$ the algorithm aggregates all inputs and outputs the sum of the input $s = sum_i s_i$ with high probability. Its convergence time is within $O(sqrt{n} log^2 n)$ time both expectation and with high probability. The amount of states that ordinary agents use is $O(|X^2|)$ (equivalently, $O(log |X|)$ bits). To the best of our knowledge, no algorithm for this problem with sublinear time and achieving independence of the input size $|X|$ was known before our work. We also propose a simulation
method for the streaming computation. Specifically, if the streaming computation computes a function using $O(log^c n) $ bits of memory, then our algorithm simulates the function with complexity $O(sqrt{n}log^2 n)$ time and $O(log^c n) $ bits of space. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
Probabilistic Population Protocol model / aggregation problem / sublinear time algorithm / / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 118, no. 68, COMP2018-6, pp. 79-84, May 2018. |
Paper # |
COMP2018-6 |
Date of Issue |
2018-05-18 (COMP) |
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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COMP2018-6 |
Conference Information |
Committee |
COMP IPSJ-AL |
Conference Date |
2018-05-25 - 2018-05-26 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Nagoya Institute of Technology |
Topics (in Japanese) |
(See Japanese page) |
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Paper Information |
Registration To |
COMP |
Conference Code |
2018-05-COMP-AL |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Fast Aggregation in Probabilistic Population Protocols |
Sub Title (in English) |
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Probabilistic Population Protocol model |
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aggregation problem |
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sublinear time algorithm |
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1st Author's Name |
Ryota Eguchi |
1st Author's Affiliation |
Nagoya Institute of Technology (Nagoya Inst. of Tech.) |
2nd Author's Name |
Taisuke Izumi |
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Nagoya Institute of Technology (Nagoya Inst. of Tech.) |
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Speaker |
Author-1 |
Date Time |
2018-05-25 14:30:00 |
Presentation Time |
30 minutes |
Registration for |
COMP |
Paper # |
COMP2018-6 |
Volume (vol) |
vol.118 |
Number (no) |
no.68 |
Page |
pp.79-84 |
#Pages |
8 |
Date of Issue |
2018-05-18 (COMP) |