Detection of soft errors in LU decomposition with partial pivoting using algorithm-based fault tolerance

doi:10.1177/1094342015578487

	Detection of soft errors in LU decomposition with partial pivoting using algorithm-based fault tolerance
	Yao, Erlin; Zhang, Jiutian; Chen, Mingyu; Tan, Guangming; Sun, Ninghui
	2015-11-01
发表期刊	INTERNATIONAL JOURNAL OF HIGH PERFORMANCE COMPUTING APPLICATIONS
ISSN	1094-3420
卷号	29 期号:4 页码:422-436
摘要	Soft errors in scientific computing applications are becoming inevitable with the ever-increasing system scale and execution time, and new technologies that feature increased transistor density and lower voltage. Soft errors can be mainly classified into two categories: bit-flipping error (e.g. 1 becomes -1) in random access memory; and computation error (e.g. 1+1=3) in floating point units. Traditionally, bit-flipping error is handled by the Error Correcting Code (ECC) technique, and computation error is dealt with the Triple Modular Redundancy (TMR) method. Note that, ECC cannot handle computation error, while TMR cannot deal with bit-flipping error and is not efficient on handling computation error. To uniformly and efficiently handle both computation and bit-flipping errors in matrix operations, the Algorithm-Based Fault Tolerance (ABFT) method is developed. This paper focuses on the detection of soft errors in the LU Decomposition with Partial Pivoting (LUPP) algorithm, which is widely used in scientific computing applications. First, this paper notes that existing ABFT methods are not adequate to detect soft errors in LUPP in terms of time or space. Then we propose a new ABFT algorithm which can detect soft errors in LUPP both flexible in time and comprehensive in space. Flexible in time means that soft errors can be detected flexibly during the execution instead of only at the end of LUPP, while comprehensive in space indicates that all of the elements in data matrices (L and U) will be covered for detecting soft errors. To show the feasibility and efficiency of the proposed algorithm, this paper has incorporated it into the implementation of LUPP in the widely used benchmark High Performance Linpack (HPL). Experiment results verify the feasibility of this algorithm: for soft errors injected at various timings and to different elements in LUPP, this algorithm has detected most of the injected errors, which have covered all of the errors that cannot pass the residual check of HPL. Both theoretical overhead analysis and experiments demonstrate that this ABFT algorithm is also very efficient at detecting soft errors in LUPP.
关键词	Soft error error detection LU Decomposition with Partial Pivoting Algorithm-Based Fault Tolerance
DOI	10.1177/1094342015578487
收录类别	SCI
语种	英语
资助项目	National Basic Research Program of China (973)[2012CB316502] ; National Basic Research Program of China (973)[2011CB302502] ; National 863 Program[2009AA01A129] ; National Science Foundation of China[61472395] ; National Science Foundation of China[61432018] ; National Science Foundation of China[61272134] ; National Science Foundation of China[31327901] ; National Science Foundation of China[91430218] ; National Science Foundation of China[60921002] ; National Science Foundation of China[60925009] ; National Science Foundation of China[61221062]
WOS研究方向	Computer Science
WOS类目	Computer Science, Hardware & Architecture ; Computer Science, Interdisciplinary Applications ; Computer Science, Theory & Methods
WOS记录号	WOS:000362996700003
出版者	SAGE PUBLICATIONS LTD
引用统计	被引频次：10[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://119.78.100.204/handle/2XEOYT63/9268
专题	中国科学院计算技术研究所期刊论文_英文
通讯作者	Tan, Guangming
作者单位	Chinese Acad Sci, Inst Comp Technol, State Key Lab Comp Architecture, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Yao, Erlin,Zhang, Jiutian,Chen, Mingyu,et al. Detection of soft errors in LU decomposition with partial pivoting using algorithm-based fault tolerance[J]. INTERNATIONAL JOURNAL OF HIGH PERFORMANCE COMPUTING APPLICATIONS,2015,29(4):422-436.
APA	Yao, Erlin,Zhang, Jiutian,Chen, Mingyu,Tan, Guangming,&Sun, Ninghui.(2015).Detection of soft errors in LU decomposition with partial pivoting using algorithm-based fault tolerance.INTERNATIONAL JOURNAL OF HIGH PERFORMANCE COMPUTING APPLICATIONS,29(4),422-436.
MLA	Yao, Erlin,et al."Detection of soft errors in LU decomposition with partial pivoting using algorithm-based fault tolerance".INTERNATIONAL JOURNAL OF HIGH PERFORMANCE COMPUTING APPLICATIONS 29.4(2015):422-436.