As immunological and clinical studies become more complex, there is an increasing need to analyze temporal immunophenotypes alongside demographic covariates, where each subject receives matrix-valued time series observations for potentially high-dimensional longitudinal features, as well other static characterizations. Researchers aim find the low-dimensional embedding of subjects using investi...

For tensor decompositions such as HOSVD and ParaFac, the objective functions are nonconvex. This implies, theoretically, there exists a large number of local optimas: starting from different starting point, the iteratively improved solution will converge to different local solutions. This non-uniqueness present a stability and reliability problem for image compression and retrieval. In this pap...

A three-mode covariance matrix contains covariances of N observations (e.g., subject scores) on J variables for K different occasions or conditions. We model such an JK×JK covariance matrix as the sum of a (common) covariance matrix having Candecomp/Parafac form, and a diagonal matrix of unique variances. The Candecomp/Parafac form is a generalization of the two-mode case under the assumption o...

This paper describes a clustering method to group the most similar and important weblogs with their descriptive shared words by using a technique from multilinear algebra known as PARAFAC tensor decomposition. The proposed method first creates labeled-link network representation of the weblog datasets, where the nodes are the blogs and the labels are the shared words. Then, 3-way adjacency tens...

A three-way resolution method based on PARAFAC analysis of fluorescence excitation/emission matrices (EEMs) is presented to study the black kinetic system of simultaneous degradations of chlorophyll a and b extracted with other interferents from fresh spinach. The excitation and emission spectral profiles as well as the kinetic concentration profiles of chlorophyll a, b and their degradation pr...

In this study, a new approach to laser-induced breakdown spectroscopy (LIBS) data modeling using multiway algorithms was investigated. Two case studies, parallel factor analysis (PARAFAC) and unfolded-partial least-squares with residual bilinearization (U-PLS/RBL) were used in (1) the determination of Al, Cu, Fe samples reference material printed circuit board (PCB) from electronic waste (2) Ca...

In this study, the direct determination of cefixime as an anti-bacterial agent, in pharmaceutical formulations, urine and human blood plasma was conducted based on spectrophotometric measurements using parallel factor analysis (PARAFAC) and partial least squares (PLS). The calibration set was composed of fourteen solutions in the range of 0.50- 9.00 µg mL-1. PLS models were calculated at each p...

The phenolic compounds in dandelion were extracted using different ethanol percentage solutions, identified with HPLC-MS, and their scavenging capabilities of DPPH, ABTS OH radicals determined. Then the excitation-emission matrix fluorescence spectroscopy coupled parallel factor analysis (PARAFAC) was conveyed to analyze relationship between phenolics, components scores PARAFAC model antioxidan...