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| Presentation | 2017-03-02 16:15 An algorithm to compute covariance for finding distribution of the maximum Daiki Azuma, Shuji Tsukiyama (Chuo Univ.), Masahiro Fukui (Ritsumeikan Univ.), Takashi Kambe (Kinki Univ.)  VLD2016-121 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | In statistical approaches such as statistical static timing analysis, the distribution of the maximum of plural distributions is computed by repeating a maximum operation for two distributions. Moreover, since each distribution is represented by a linear combination of several explanatory random variables so as to handle correlations efficiently, sensitivity of the maximum of two distributions to each explanatory random variable, that is, covariance between the maximum and an explanatory random variable, must be calculated in every maximum operation. However, if the distribution of the maximum is represented by a Gaussian or a Gaussian mixture model, it is not always possible to make both variance and covariance accurate values. We propose an algorithm to compute covariance with smaller error without deteriorating the accuracy of variance, and show experimental results to evaluate its performance. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | statistical maximum operation / Gaussian mixture model / covariance / sensitivity / statistical methods / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 116, no. 478, VLD2016-121, pp. 103-108, March 2017. | |
| Paper # | VLD2016-121 | |
| Date of Issue | 2017-02-22 (VLD) | |
| ISSN | Print edition: ISSN 0913-5685 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) | |
| Download PDF | VLD2016-121 |
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| Conference Information | |
| Committee | VLD |
| Conference Date | 2017-03-01 - 2017-03-03 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Okinawa Seinen Kaikan |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Paper Information | |
| Registration To | VLD |
| Conference Code | 2017-03-VLD |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | An algorithm to compute covariance for finding distribution of the maximum |
| Sub Title (in English) | |
| Keyword(1) | statistical maximum operation |
| Keyword(2) | Gaussian mixture model |
| Keyword(3) | covariance |
| Keyword(4) | sensitivity |
| Keyword(5) | statistical methods |
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| 1st Author's Name | Daiki Azuma |
| 1st Author's Affiliation | Chuo University (Chuo Univ.) |
| 2nd Author's Name | Shuji Tsukiyama |
| 2nd Author's Affiliation | Chuo University (Chuo Univ.) |
| 3rd Author's Name | Masahiro Fukui |
| 3rd Author's Affiliation | Ritsumeikan University (Ritsumeikan Univ.) |
| 4th Author's Name | Takashi Kambe |
| 4th Author's Affiliation | Kinki University (Kinki Univ.) |
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| Speaker | Author-1 |
| Date Time | 2017-03-02 16:15:00 |
| Presentation Time | 25 minutes |
| Registration for | VLD |
| Paper # | VLD2016-121 |
| Volume (vol) | vol.116 |
| Number (no) | no.478 |
| Page | pp.103-108 |
| #Pages | 6 |
| Date of Issue | 2017-02-22 (VLD) |
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