Paper Abstract and Keywords |
Presentation |
2023-03-15 10:20
Efficient composition of encoding polynomial in distributed coded computing scheme Daisuke Hibino, Tomoharu Shibuya (Sophia Univ.) IT2022-119 ISEC2022-98 WBS2022-116 RCC2022-116 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
Distributed computing is one of the powerful solutions for computational tasks that need the massive size of dataset. Lagrange coded computing (LCC), proposed by Yu et al., realizes private and secure distributed computing under the existence of stragglers, malicious workers, and colluding workers by using an encoding polynomial. Since the encoding polynomial depends on a dataset, it must be updated every arrival of new dataset. Therefore, it is necessary to employ efficient algorithm to compose the encoding polynomial. In this paper, we propose Newton coded computing (NCC) which is based on Newton interpolation to compose the encoding polynomial.
Let K, L, and T be the number of data, the length of each data, and the number of colluding workers, respectively. Then, the computational complexity for composition of an encoding polynomial is improved from O(LN log^2(K+T) log log(K+T)) for LCC to O(L(K+T) log (K+T)) for the proposed method. Furthermore, by applying the proposed method, the computation complexity for updating the encoding polynomial is improved from O(LN log^2(K+T) log log(K+T)) for LCC to O(L) for the proposed method. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
distributed computing / Lagrange interpolation / Newton interpolation / polynomial evaluation / computational complexity / / / |
Reference Info. |
IEICE Tech. Rep., vol. 122, no. 427, IT2022-119, pp. 325-330, March 2023. |
Paper # |
IT2022-119 |
Date of Issue |
2023-03-07 (IT, ISEC, WBS, RCC) |
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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IT2022-119 ISEC2022-98 WBS2022-116 RCC2022-116 |
Conference Information |
Committee |
RCC ISEC IT WBS |
Conference Date |
2023-03-14 - 2023-03-15 |
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(See Japanese page) |
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Paper Information |
Registration To |
IT |
Conference Code |
2023-03-RCC-ISEC-IT-WBS |
Language |
English |
Title (in Japanese) |
(See Japanese page) |
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(See Japanese page) |
Title (in English) |
Efficient composition of encoding polynomial in distributed coded computing scheme |
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Keyword(1) |
distributed computing |
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Lagrange interpolation |
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Newton interpolation |
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polynomial evaluation |
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computational complexity |
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1st Author's Name |
Daisuke Hibino |
1st Author's Affiliation |
Graduate school of Sophia University (Sophia Univ.) |
2nd Author's Name |
Tomoharu Shibuya |
2nd Author's Affiliation |
Sophia University (Sophia Univ.) |
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Speaker |
Author-1 |
Date Time |
2023-03-15 10:20:00 |
Presentation Time |
25 minutes |
Registration for |
IT |
Paper # |
IT2022-119, ISEC2022-98, WBS2022-116, RCC2022-116 |
Volume (vol) |
vol.122 |
Number (no) |
no.427(IT), no.428(ISEC), no.429(WBS), no.430(RCC) |
Page |
pp.325-330 |
#Pages |
6 |
Date of Issue |
2023-03-07 (IT, ISEC, WBS, RCC) |
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