AN INTRODUCTION TO TENSOR-PRODUCTS WITH APPLICATIONS TO MULTIWAY DATA-ANALYSIS

被引：45

作者：

BURDICK, DS

机构：

来源：

CHEMOMETRICS AND INTELLIGENT LABORATORY SYSTEMS | 1995年 / 28卷 / 02期

关键词：

D O I：

10.1016/0169-7439(95)98599-2

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The concepts of tenser algebra and vector space geometry provide a unifying framework for multilinear data analysis which simplifies notation and leads to economy of thought. Avoiding too much abstraction too soon in defining tenser products makes these concepts accessible. Examples are given of the use of tenser algebra in the analysis of bilinear and trilinear models arising in fluorescence spectroscopy.

引用

页码：229 / 237

页数：9

共 10 条

[1] BURDICK DS, 1990, J CHEMOMETR, V4, P15, DOI DOI 10.1002/cem.1180040104
[2] FRANC A, 1989, MULTIWAY DATA ANAL, P19
[3] Franc A., 1992, THESIS U MONTPELLIER
[4] Harshman R.A., 1984, RES METHODS MULTIMOD, P122
[5] ANNOTATED-BIBLIOGRAPHY OF 3-MODE FACTOR-ANALYSIS
KROONENBERG, PM
[J]. BRITISH JOURNAL OF MATHEMATICAL & STATISTICAL PSYCHOLOGY, 1983, 36 (MAY) : 81 - 113
[6] Kruskal J. B., 1989, MULTIWAY DATA ANAL, P7
[7] LEURGANS SE, 1992, STAT SCI, V3, P289
[8] FLUORESCENCE LIFETIME RESOLUTION OF SPECTRA IN THE FREQUENCY-DOMAIN USING MULTIWAY ANALYSIS
MILLICAN, DW
MCGOWN, LB
[J]. ANALYTICAL CHEMISTRY, 1990, 62 (20) : 2242 - 2247
[9] RESOLUTION OF THE FLUORESCENCE-SPECTRA OF PLANT PIGMENT-COMPLEXES USING TRILINEAR MODELS
ROSS, RT
LEE, CH
DAVIS, CM
EZZEDDINE, BM
FAYYAD, EA
LEURGANS, SE
[J]. BIOCHIMICA ET BIOPHYSICA ACTA, 1991, 1056 (03) : 317 - 320
[10] Sanchez E., 1988, J CHEMOMETR, V2, P265

← 1 →