TWI718604B - 用於將稀疏元素變換為一密集矩陣之系統及方法，以及非暫時性機器可讀儲存裝置 - Google Patents

用於將稀疏元素變換為一密集矩陣之系統及方法，以及非暫時性機器可讀儲存裝置 Download PDF

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TWI718604B
TWI718604B TW108126777A TW108126777A TWI718604B TW I718604 B TWI718604 B TW I718604B TW 108126777 A TW108126777 A TW 108126777A TW 108126777 A TW108126777 A TW 108126777A TW I718604 B TWI718604 B TW I718604B
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拉非 納拉亞那斯瓦密
拉浩 納加拉簡
禹同爀
克里斯多福 丹尼爾 理瑞
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美商谷歌有限責任公司
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    • G06—COMPUTING OR CALCULATING; COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/10—Complex mathematical operations
    • G06F17/16—Matrix or vector computation, e.g. matrix-matrix or matrix-vector multiplication, matrix factorization
    • G—PHYSICS
    • G06—COMPUTING OR CALCULATING; COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/10—Complex mathematical operations
    • G06F17/14—Fourier, Walsh or analogous domain transformations, e.g. Laplace, Hilbert, Karhunen-Loeve, transforms
    • G—PHYSICS
    • G06—COMPUTING OR CALCULATING; COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F9/00—Arrangements for program control, e.g. control units
    • G06F9/06—Arrangements for program control, e.g. control units using stored programs, i.e. using an internal store of processing equipment to receive or retain programs
    • G06F9/30—Arrangements for executing machine instructions, e.g. instruction decode
    • G06F9/30003—Arrangements for executing specific machine instructions

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TW108126777A 2016-02-05 2016-12-29 用於將稀疏元素變換為一密集矩陣之系統及方法，以及非暫時性機器可讀儲存裝置 TWI718604B (zh)

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US15/016,420 US9805001B2 (en) 2016-02-05 2016-02-05 Matrix processing apparatus
US15/016,420 2016-02-05

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TW202011226A TW202011226A (zh) 2020-03-16
TWI718604B true TWI718604B (zh) 2021-02-11

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TW108126777A TWI718604B (zh) 2016-02-05 2016-12-29 用於將稀疏元素變換為一密集矩陣之系統及方法，以及非暫時性機器可讀儲存裝置
TW107112523A TWI670613B (zh) 2016-02-05 2016-12-29 用於將稀疏元素變換為一密集矩陣之系統及方法，以及非暫時性機器可讀儲存裝置
TW105143869A TWI624763B (zh) 2016-02-05 2016-12-29 矩陣處理裝置
TW110100489A TWI781509B (zh) 2016-02-05 2016-12-29 用於將稀疏元素變換為一密集矩陣之系統及方法，以及非暫時性機器可讀儲存裝置

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TW105143869A TWI624763B (zh) 2016-02-05 2016-12-29 矩陣處理裝置
TW110100489A TWI781509B (zh) 2016-02-05 2016-12-29 用於將稀疏元素變換為一密集矩陣之系統及方法，以及非暫時性機器可讀儲存裝置

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US (6) US9805001B2 (enExample)
EP (2) EP3203382A1 (enExample)
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KR (4) KR101980365B1 (enExample)
CN (2) CN112000919B (enExample)
BR (1) BR102016030970A8 (enExample)
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Families Citing this family (10)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US11249759B2 (en) * 2013-07-15 2022-02-15 Texas Instruments Incorporated Two-dimensional zero padding in a stream of matrix elements
US9805001B2 (en) 2016-02-05 2017-10-31 Google Inc. Matrix processing apparatus
US10635739B1 (en) 2016-08-25 2020-04-28 Cyber Atomics, Inc. Multidimensional connectivity graph-based tensor processing
US10521458B1 (en) 2016-08-25 2019-12-31 Cyber Atomics, Inc. Efficient data clustering
JP6912703B2 (ja) * 2017-02-24 2021-08-04 富士通株式会社 演算方法、演算装置、演算プログラム及び演算システム
US10489481B1 (en) 2017-02-24 2019-11-26 Cyber Atomics, Inc. Efficient matrix property determination with pipelining and parallelism
US10936942B2 (en) 2017-11-21 2021-03-02 Google Llc Apparatus and mechanism for processing neural network tasks using a single chip package with multiple identical dies
CN108804684B (zh) * 2018-06-13 2020-11-03 北京搜狗科技发展有限公司 一种数据处理方法和装置
US10719323B2 (en) 2018-09-27 2020-07-21 Intel Corporation Systems and methods for performing matrix compress and decompress instructions
CN113794709B (zh) * 2021-09-07 2022-06-24 北京理工大学 一种用于二值稀疏矩阵的混合编码方法

Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN103262068A (zh) * 2010-12-20 2013-08-21 萨思学会有限公司 用于使用单遍等级化单次遍历数据来产生叉积矩阵的系统及方法
US20130339506A1 (en) * 2012-06-13 2013-12-19 International Business Machines Corporation Performing synchronized collective operations over multiple process groups
US20150067009A1 (en) * 2013-08-30 2015-03-05 Microsoft Corporation Sparse matrix data structure

Family Cites Families (23)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US5765011A (en) 1990-11-13 1998-06-09 International Business Machines Corporation Parallel processing system having a synchronous SIMD processing with processing elements emulating SIMD operation using individual instruction streams
US5625836A (en) 1990-11-13 1997-04-29 International Business Machines Corporation SIMD/MIMD processing memory element (PME)
US5752067A (en) 1990-11-13 1998-05-12 International Business Machines Corporation Fully scalable parallel processing system having asynchronous SIMD processing
GB2251320A (en) * 1990-12-20 1992-07-01 Motorola Ltd Parallel processor
JP2557175B2 (ja) * 1992-05-22 1996-11-27 インターナショナル・ビジネス・マシーンズ・コーポレイション コンピュータ・システム
US5446908A (en) 1992-10-21 1995-08-29 The United States Of America As Represented By The Secretary Of The Navy Method and apparatus for pre-processing inputs to parallel architecture computers
US5644517A (en) 1992-10-22 1997-07-01 International Business Machines Corporation Method for performing matrix transposition on a mesh multiprocessor architecture having multiple processor with concurrent execution of the multiple processors
JP3348367B2 (ja) * 1995-12-06 2002-11-20 富士通株式会社 多重アクセス方法および多重アクセスキャッシュメモリ装置
JP3639206B2 (ja) * 2000-11-24 2005-04-20 富士通株式会社 共有メモリ型スカラ並列計算機における並列行列処理方法、及び記録媒体
JP3980488B2 (ja) 2001-02-24 2007-09-26 インターナショナル・ビジネス・マシーンズ・コーポレーション 超並列コンピュータ・システム
CN100499446C (zh) 2001-02-24 2009-06-10 国际商业机器公司 类网络路由方法
US6961888B2 (en) 2002-08-20 2005-11-01 Flarion Technologies, Inc. Methods and apparatus for encoding LDPC codes
US8380778B1 (en) * 2007-10-25 2013-02-19 Nvidia Corporation System, method, and computer program product for assigning elements of a matrix to processing threads with increased contiguousness
US8751556B2 (en) 2010-06-11 2014-06-10 Massachusetts Institute Of Technology Processor for large graph algorithm computations and matrix operations
US8549259B2 (en) 2010-09-15 2013-10-01 International Business Machines Corporation Performing a vector collective operation on a parallel computer having a plurality of compute nodes
CN102141976B (zh) 2011-01-10 2013-08-14 中国科学院软件研究所 稀疏矩阵的对角线数据存储方法及基于该方法的SpMV实现方法
US9170836B2 (en) * 2013-01-09 2015-10-27 Nvidia Corporation System and method for re-factorizing a square matrix into lower and upper triangular matrices on a parallel processor
JP6083300B2 (ja) 2013-03-29 2017-02-22 富士通株式会社 プログラム、並列演算方法および情報処理装置
US9471377B2 (en) 2013-11-13 2016-10-18 Reservoir Labs, Inc. Systems and methods for parallelizing and optimizing sparse tensor computations
CN103984527B (zh) * 2014-04-01 2017-12-15 杭州电子科技大学 优化稀疏矩阵向量乘提升不可压缩管流模拟效率的方法
US9715481B2 (en) 2014-06-27 2017-07-25 Oracle International Corporation Approach for more efficient use of computing resources while calculating cross product or its approximation for logistic regression on big data sets
US9898441B2 (en) * 2016-02-05 2018-02-20 Google Llc Matrix processing apparatus
US9805001B2 (en) 2016-02-05 2017-10-31 Google Inc. Matrix processing apparatus

Patent Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN103262068A (zh) * 2010-12-20 2013-08-21 萨思学会有限公司 用于使用单遍等级化单次遍历数据来产生叉积矩阵的系统及方法
US20130339506A1 (en) * 2012-06-13 2013-12-19 International Business Machines Corporation Performing synchronized collective operations over multiple process groups
US20150067009A1 (en) * 2013-08-30 2015-03-05 Microsoft Corporation Sparse matrix data structure

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KR20190054052A (ko) 2019-05-21
SG10201610977QA (en) 2017-09-28
BR102016030970A2 (pt) 2018-07-17
TW201732645A (zh) 2017-09-16
KR101980365B1 (ko) 2019-05-20
SG10201808521PA (en) 2018-11-29
JP2023021171A (ja) 2023-02-09
TWI624763B (zh) 2018-05-21
KR20200053461A (ko) 2020-05-18
EP3203382A1 (en) 2017-08-09
US20210034697A1 (en) 2021-02-04
US10417303B2 (en) 2019-09-17
JP6524052B2 (ja) 2019-06-05
CN107045493A (zh) 2017-08-15
EP4160448A1 (en) 2023-04-05
KR20230002254A (ko) 2023-01-05
US20180060276A1 (en) 2018-03-01
TW202131172A (zh) 2021-08-16
US11366877B2 (en) 2022-06-21
US20220391472A1 (en) 2022-12-08
KR20170093698A (ko) 2017-08-16
US10719575B2 (en) 2020-07-21
KR102483303B1 (ko) 2022-12-29
KR102635985B1 (ko) 2024-02-08
TWI670613B (zh) 2019-09-01
JP2017138965A (ja) 2017-08-10
JP2019153333A (ja) 2019-09-12
TW202011226A (zh) 2020-03-16
JP2022000781A (ja) 2022-01-04
KR102112094B1 (ko) 2020-05-18
US9798701B2 (en) 2017-10-24
CN107045493B (zh) 2020-08-18
JP6978467B2 (ja) 2021-12-08
US20200012705A1 (en) 2020-01-09
JP7187635B2 (ja) 2022-12-12
CN112000919A (zh) 2020-11-27
US20170228343A1 (en) 2017-08-10
US20170228341A1 (en) 2017-08-10
BR102016030970A8 (pt) 2018-07-31
CN112000919B (zh) 2022-04-05
TW201826143A (zh) 2018-07-16
TWI781509B (zh) 2022-10-21
US9805001B2 (en) 2017-10-31

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