Numerical Studies on the Use of Enhanced Multivariance Product Representation as a Multiway Array Decomposer

2010 ◽  
Author(s):  
Coşar Gözükirmizi ◽  
Metin Demiralp ◽  
Theodore E. Simos ◽  
George Psihoyios ◽  
Ch. Tsitouras
Keyword(s):  
Product Representation ◽  
Numerical Studies ◽  
Enhanced Multivariance Product Representation

Weight Optimization in Enhanced Multivariance Product Representation (EMPR) Method

2010 ◽  
Author(s):  
Ayla Okan ◽  
N. A. Baykara ◽  
Metin Demiralp ◽  
Theodore E. Simos ◽  
George Psihoyios ◽  
...  
Keyword(s):  
Weight Optimization ◽  
Product Representation ◽  
Enhanced Multivariance Product Representation

scholarly journals Multilinear Common Component Analysis via Kronecker Product Representation

2021 ◽  
pp. 1-28
Author(s):  
Kohei Yoshikawa ◽  
Shuichi Kawano
Keyword(s):  
Estimation Algorithm ◽  
Component Analysis ◽  
Data Sets ◽  
Kronecker Products ◽  
Product Representation ◽  
Common Component ◽  
Common Basis ◽  
Common Structure ◽  
Numerical Studies ◽  
Tensor Data

We consider the problem of extracting a common structure from multiple tensor data sets. For this purpose, we propose multilinear common component analysis (MCCA) based on Kronecker products of mode-wise covariance matrices. MCCA constructs a common basis represented by linear combinations of the original variables that lose little information of the multiple tensor data sets. We also develop an estimation algorithm for MCCA that guarantees mode-wise global convergence. Numerical studies are conducted to show the effectiveness of MCCA.

Generalized Enhanced Multivariance Product Representation for Data Partitioning: Constancy Level

2011 ◽  
Author(s):  
M. Alper Tunga ◽  
Metin Demiralp ◽  
Theodore E. Simos ◽  
George Psihoyios ◽  
Ch. Tsitouras ◽  
...  
Keyword(s):  
Data Partitioning ◽  
Product Representation ◽  
Enhanced Multivariance Product Representation
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