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Detecting outlying samples in a parallel factor analysis model

Analytica Chimica Acta, 2011
To explore multi-way data, different methods have been proposed. Here, we study the popular PARAFAC (Parallel factor analysis) model, which expresses multi-way data in a more compact way, without ignoring the underlying complex structure. To estimate the score and loading matrices, an alternating least squares procedure is typically used. It is however
Sanne, Engelen, Mia, Hubert
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A closed-form solution for Parallel Factor (PARAFAC) Analysis

2008 IEEE International Conference on Acoustics, Speech and Signal Processing, 2008
Parallel factor analysis (PARAFAC) is a branch of multi-way signal processing that has received increased attention recently. This is due to the large class of applications as well as the milestone identifiability results demonstrating the superiority to matrix (two-way) analysis approaches.
Florian Roemer, Martin Haardt
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A novel strategy on the spectrochromatographic analysis of a quaternary mixture by parallel factor analysis model

Biomedical Chromatography, 2021
AbstractPoor chromatographic resolution is one of the main challenges in chromatographic analysis. Partially separated chromatographic peaks frequently occur, due to the nature of analytes and the demand for fast analysis using high flow rates and shorter columns.
Erdal Dinç   +2 more
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Parallel Factor Analysis with Constraints on the Configurations: An overview

1998
The purpose of the paper is to present an overview of recent developments with respect to the use of constraints in conjunction with the Parallel Factor Analysis PARAFAC model (Harshman, 1970). Constraints and the way they can be incorporated in the estimation process of the model are reviewed. Emphasis is placed on the relatively new triadic algorithm
Kroonenberg, P.M., Heiser, W.J.
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Maximum likelihood parallel factor analysis (MLPARAFAC)

Journal of Chemometrics, 2003
AbstractAlgorithms for carrying out maximum likelihood parallel factor analysis (MLPARAFAC) for three‐way data are described. These algorithms are based on the principle of alternating least squares, but differ from conventional PARAFAC algorithms in that they incorporate measurement error information into the trilinear decomposition.
Lorenzo Vega‐Montoto   +1 more
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The Use of Exploratory Factor Analysis in Public Health: A Note on Parallel Analysis as a Factor Retention Criterion

American Journal of Health Promotion, 2010
Purpose. Exploratory factor analysis is used to identify latent factors for public health interventions. The most popular factor retention criterion, the eigenvalue greater than one (EVG1) rule, leads to the retention of more factors than warranted.
Vivek H, Patil   +2 more
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A Computer Program for the Analysis of Parallel‐Line Bioassays of Clotting Factors

British Journal of Haematology, 1975
Summary.An interactive computer program for the analysis of clotting factor assays is described. The program provides potency estimates against a standard, and will compare the observed and expected responses of a treated patient. Tests for validity of curve fitting are provided, with a number of optional transforms.
K N, Williams   +2 more
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Spatially constrained parallel factor analysis for semi-blind beamforming

2011 Seventh International Conference on Natural Computation, 2011
Parallel factor analysis (PARAFAC) has found numerous applications in blind signal processing, mainly due to its nice identifiability. However, the standard PARAFAC decomposition does not use prior information on the mixing procedure, which could actually be roughly estimated.
Xiao-Feng Gong, Qiu-Hua Lin
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A note on communication analysis of parallel sparse Cholesky factorization on a hypercube

Parallel Computing, 1990
The communication analysis for the nested-dissection method of column- oriented Cholesky factorization established by \textit{A. George}, \textit{J. W. H. Liu}, and \textit{E. Ng} [ibid. 10, No.3, 287-298 (1989; Zbl 0687.65024)] is simplified using the subgrid-to-subcube column assignment for a \(k\times k\) grid on a hypercube of p processors.
Feng Gao 0002, Beresford N. Parlett
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Comprehensive Three-Dimensional Gas Chromatography with Parallel Factor Analysis

Analytical Chemistry, 2007
Development of a comprehensive, three-dimensional gas chromatograph (GC3) instrument is described. The instrument utilizes two six-port diaphragm valves as the interfaces between three, in-series capillary columns housed in a standard Agilent 6890 gas chromatograph fitted with a high data acquisition rate flame ionization detector.
Nathanial E, Watson   +3 more
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