| Presentation | 2017-03-02 An algorithm to compute covariance for finding distribution of the maximum Daiki Azuma, Shuji Tsukiyama, Masahiro Fukui, Takashi Kambe, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(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) |
| Keyword(in English) | statistical maximum operation / Gaussian mixture model / covariance / sensitivity / statistical methods |
| Paper # | VLD2016-121 |
| Date of Issue | 2017-02-22 (VLD) |
| Conference Information | |
| Committee | VLD |
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| Conference Date | 2017/3/1(3days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Okinawa Seinen Kaikan |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | Takashi Takenana(NEC) |
| Vice Chair | Hiroyuki Ochi(Ritsumeikan Univ.) |
| Secretary | Hiroyuki Ochi(Fujitsu Labs.) |
| Assistant | Parizy Matthieu(Fujitsu Labs.) |
| Paper Information | |
| Registration To | Technical Committee on VLSI Design Technologies |
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| Language | JPN |
| 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 |
| 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.) |
| Date | 2017-03-02 |
| Paper # | VLD2016-121 |
| Volume (vol) | vol.116 |
| Number (no) | VLD-478 |
| Page | pp.pp.103-108(VLD), |
| #Pages | 6 |
| Date of Issue | 2017-02-22 (VLD) |