Presentation 2019-07-25
A Study on Multiple-error Correction for Matrix-Product Computation Using Steiner Triple System
Yuki Katsu, Haruhiko Kaneko,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) Improving the reliability of matrix multiplication is a very important factor for the technologies in which matrix multiplication affects the performance of the entire system, such as deep learning, signal processing, and big data processing. In this study, in order to improve the reliability of matrix multiplication, we propose a multiple error correction for matrix multiplication using the Steiner triple system. We define the computation model and the error model for making operation redundant. We show that errors occured in matrix multiplication can be corrected and detected by using the parity check matrix based on the Steiner triple system. Simulations show that both the symbol error rate and the block error rate can be lowered by using the proposed method, and it is shown that the symbol error rate is suppressed by a factor of 1000.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Matrix multiplication / Error correction / Steiner triple system / Memristor
Paper # CPSY2019-26,DC2019-26
Date of Issue 2019-07-17 (CPSY, DC)

Conference Information
Committee CPSY / DC / IPSJ-ARC
Conference Date 2019/7/24(3days)
Place (in Japanese) (See Japanese page)
Place (in English) Kitami Civic Hall
Topics (in Japanese) (See Japanese page)
Topics (in English) Parallel, Distributed and Cooperative Processing Systems and Dependable Computing
Chair Hidetsugu Irie(Univ. of Tokyo) / Satoshi Fukumoto(Tokyo Metropolitan Univ.) / Hiroshi Inoue(Kyushu Univ.)
Vice Chair Michihiro Koibuchi(NII) / Kota Nakajima(Fujitsu Lab.) / Hiroshi Takahashi(Ehime Univ.)
Secretary Michihiro Koibuchi(Nagoya Inst. of Tech.) / Kota Nakajima(Hokkaido Univ.) / Hiroshi Takahashi(Nihon Univ.) / (Chiba Univ.)
Assistant Eiji Arima(Univ. of Tokyo) / Shugo Ogawa(Hitachi)

Paper Information
Registration To Technical Committee on Computer Systems / Technical Committee on Dependable Computing / Special Interest Group on System Architecture
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) A Study on Multiple-error Correction for Matrix-Product Computation Using Steiner Triple System
Sub Title (in English)
Keyword(1) Matrix multiplication
Keyword(2) Error correction
Keyword(3) Steiner triple system
Keyword(4) Memristor
1st Author's Name Yuki Katsu
1st Author's Affiliation Tokyo Institute of Technology(Tokyo Tech)
2nd Author's Name Haruhiko Kaneko
2nd Author's Affiliation Tokyo Institute of Technology(Tokyo Tech)
Date 2019-07-25
Paper # CPSY2019-26,DC2019-26
Volume (vol) vol.119
Number (no) CPSY-147,DC-148
Page pp.pp.123-127(CPSY), pp.123-127(DC),
#Pages 5
Date of Issue 2019-07-17 (CPSY, DC)