Improving the speed of multi-way algorithms: Part I. Tucker3

被引：104

作者：

Andersson, CA ^{[1
]}

Bro, R ^{[1
]}

机构：

[1] Royal Vet & Agr Univ, Dept Dairy & Food Sci, Chemometr Grp, DK-1958 Frederiksberg C, Denmark

来源：

CHEMOMETRICS AND INTELLIGENT LABORATORY SYSTEMS | 1998年 / 42卷 / 1-2期

关键词：

Tucker3; three-mode factor analysis; 3-MFA; three-way principal component analysis;

D O I：

10.1016/S0169-7439(98)00010-0

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In an attempt to improve the speed of multi-way algorithms, this paper investigates several different implementations of the Tucker3 algorithm. The interest is specifically aimed at developing a fast algorithm in the MATLAB (TM) environment that is suitable for large data arrays. Nine different implementations are developed and tested on real and simulated data. In a subsequent paper, it will be demonstrated that a fast algorithm for the Tucker3 model provides a perfect basis for improving the speed of other multi-way algorithms. From the Internet address http:\\ newton.mli.kvl.dk \ foodtech.html, the developed algorithms can be downloaded. (C) 1998 Elsevier Science B.V. All rights reserved.

引用

页码：93 / 103

页数：11

共 17 条

[1] SPEED IMPROVEMENT OF MULTIVARIATE ALGORITHMS BY THE METHOD OF POSTPONED BASIS MATRIX MULTIPLICATION .2. 3-MODE PRINCIPAL COMPONENT ANALYSIS
ALSBERG, BK
KVALHEIM, OM
[J]. CHEMOMETRICS AND INTELLIGENT LABORATORY SYSTEMS, 1994, 24 (01) : 43 - 54
[2] Speed improvement of multivariate algorithms by the method of postponed basis matrix multiplication. Part I. Principal component analysis
Alsberg, Bjørn K.
Kvalheim, Olav M.
[J]. Chemometrics and Intelligent Laboratory Systems, 1994, 24 (01) : 31 - 42
[3] BAUER FL, 1957, Z ANGEW MATH PHYS, V8, P214, DOI DOI 10.1007/BF01600502
[4] Improving the speed of multiway algorithms part II. Compression
Bro, R
Andersson, CA
[J]. CHEMOMETRICS AND INTELLIGENT LABORATORY SYSTEMS, 1998, 42 (1-2) : 105 - 113
[5] 3-MODE FACTOR-ANALYSIS OF DATA ON RETENTION IN NORMAL-PHASE HIGH-PERFORMANCE LIQUID-CHROMATOGRAPHY
DELIGNY, CL
SPANJER, MC
VANHOUWELINGEN, JC
WEESIE, HM
[J]. JOURNAL OF CHROMATOGRAPHY, 1984, 301 (02): : 311 - 324
[6] PRINCIPAL COMPONENT ANALYSIS, TRACE-ELEMENTS, AND BLUE-CRAB SHELL DISEASE
GEMPERLINE, PJ
MILLER, KH
WEST, TL
WEINSTEIN, JE
HAMILTON, JC
BRAY, JT
[J]. ANALYTICAL CHEMISTRY, 1992, 64 (09) : A523 - +
[7] AN APPROACH TO N-MODE COMPONENTS-ANALYSIS
KAPTEYN, A
NEUDECKER, H
WANSBEEK, T
[J]. PSYCHOMETRIKA, 1986, 51 (02) : 269 - 275
[8] Relating two proposed methods for speedup of algorithms for fitting two- and three-way principal component and related multilinear models
Kiers, HAL
Harshman, RA
[J]. CHEMOMETRICS AND INTELLIGENT LABORATORY SYSTEMS, 1997, 36 (01) : 31 - 40
[9] AN EFFICIENT ALGORITHM FOR TUCKALS3 ON DATA WITH LARGE NUMBERS OF OBSERVATION UNITS
KIERS, HAL
KROONENBERG, PM
TENBERGE, JMF
[J]. PSYCHOMETRIKA, 1992, 57 (03) : 415 - 422
[10] KIERS HAL, 1997, IN PRESS PSYCHOMETRI, V62

← 1 2 →