Improving the speed of multiway algorithms part II: Compression
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Improving the speed of multiway algorithms part II : Compression. / Bro, Rasmus; Andersson, Claus A.
In: Chemometrics and Intelligent Laboratory Systems, Vol. 42, No. 1-2, 24.08.1998, p. 105-113.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Improving the speed of multiway algorithms part II
T2 - Compression
AU - Bro, Rasmus
AU - Andersson, Claus A.
PY - 1998/8/24
Y1 - 1998/8/24
N2 - In this paper an approach is developed for compressing a multiway array prior to estimating a multilinear model with the purpose of speeding up the estimation. A method is developed which seems very well-suited for a rich variety of models with optional constraints on the factors. It is based on three key aspects: (1) a fast implementation of a Tucker3 algorithm, which serves as the compression method, (2) the optimality theorem of the CANDELINC model, which ensures that the compressed array preserves the original variation maximally, and (3) a set of guidelines for how to incorporate optional constraints. The compression approach is tested on two large data sets and shown to speed up the estimation of the model up to 40 times. The developed algorithms can be downloaded from http:\\newton.mli.kvl.dk\foodtech.html.
AB - In this paper an approach is developed for compressing a multiway array prior to estimating a multilinear model with the purpose of speeding up the estimation. A method is developed which seems very well-suited for a rich variety of models with optional constraints on the factors. It is based on three key aspects: (1) a fast implementation of a Tucker3 algorithm, which serves as the compression method, (2) the optimality theorem of the CANDELINC model, which ensures that the compressed array preserves the original variation maximally, and (3) a set of guidelines for how to incorporate optional constraints. The compression approach is tested on two large data sets and shown to speed up the estimation of the model up to 40 times. The developed algorithms can be downloaded from http:\\newton.mli.kvl.dk\foodtech.html.
KW - CANDELINC
KW - Constraints
KW - Data compression
KW - PARAFAC
KW - Tucker1
KW - Tucker3
UR - http://www.scopus.com/inward/record.url?scp=0032563557&partnerID=8YFLogxK
U2 - 10.1016/S0169-7439(98)00011-2
DO - 10.1016/S0169-7439(98)00011-2
M3 - Journal article
AN - SCOPUS:0032563557
VL - 42
SP - 105
EP - 113
JO - Chemometrics and Intelligent Laboratory Systems
JF - Chemometrics and Intelligent Laboratory Systems
SN - 0169-7439
IS - 1-2
ER -
ID: 222926396