Unsupervised Multiway Data Analysis: A Literature Survey

被引:293
作者
Acar, Evrim [1 ]
Yener, Buelent [1 ]
机构
[1] Rensselaer Polytech Inst, Dept Comp Sci, Troy, NY 12180 USA
关键词
Multiway data analysis; tensor; higher-order singular value decomposition; multilinear algebra; PARALLEL FACTOR-ANALYSIS; SHIFTED FACTOR-ANALYSIS; BATCH PROCESSES; PART I; COMPONENTS; PARAFAC; APPROXIMATION; ALGORITHMS; DECOMPOSITION; NUMBERS;
D O I
10.1109/TKDE.2008.112
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
Two-way arrays or matrices are often not enough to represent all the information content of the data, and standard two-way analysis techniques commonly applied on matrices may fail to find the underlying structures in multimodal data sets. Multiway data analysis has recently become popular as an exploratory analysis tool in discovering the structures in higher-order data sets, where data have more than two modes. We provide a review of significant contributions in the literature on multiway models, algorithms as well as their applications in diverse disciplines including chemometrics, neuroscience, social network analysis, text mining, and computer vision.
引用
收藏
页码:6 / 20
页数:15
相关论文
共 95 条
[1]  
Acar E, 2005, LECT NOTES COMPUT SC, V3495, P256
[2]  
Acar E., 2006, PROC 4 IASTED INT C, P317
[3]   Multiway analysis of epilepsy tensors [J].
Acar, Evrim ;
Aykut-Bingol, Canan ;
Bingol, Haluk ;
Bro, Rasmus ;
Yener, Buelent .
BIOINFORMATICS, 2007, 23 (13) :I10-I18
[4]  
Acar E, 2006, LECT NOTES COMPUT SC, V3975, P213
[5]   Structure-seeking multilinear methods for the analysis of MRI data [J].
Andersen, AH ;
Rayens, WS .
NEUROIMAGE, 2004, 22 (02) :728-739
[6]   Practical aspects of PARAFAC modeling of fluorescence excitation-emission data [J].
Andersen, CM ;
Bro, R .
JOURNAL OF CHEMOMETRICS, 2003, 17 (04) :200-215
[7]   The N-way Toolbox for MATLAB [J].
Andersson, CA ;
Bro, R .
CHEMOMETRICS AND INTELLIGENT LABORATORY SYSTEMS, 2000, 52 (01) :1-4
[8]   Improving the speed of multi-way algorithms: Part I. Tucker3 [J].
Andersson, CA ;
Bro, R .
CHEMOMETRICS AND INTELLIGENT LABORATORY SYSTEMS, 1998, 42 (1-2) :93-103
[9]  
[Anonymous], 2004, KERNEL METHODS PATTE
[10]  
[Anonymous], 1964, CONTRIBUTIONS MATH P