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Neonatal seizure localization using PARAFAC decomposition

Clinical Neurophysiology, 2009
The description and evaluation of two EEG-based algorithms for automatic and objective determination of the seizure location in the neonatal brain as it is reflected on the scalp.Each algorithm extracts the electrical potential distribution of the seizure over the scalp using the higher-order canonical decomposition or Parallel Factor Analysis (PARAFAC)
Deburchgraeve, W   +7 more
openaire   +2 more sources

PARAFAC and missing values

Chemometrics and Intelligent Laboratory Systems, 2005
Abstract Missing values are a common occurrence in chemometrics data, and different approaches have been proposed to deal with them. In this work, two different concepts based on two algorithms are compared in their efficiency in dealing with incomplete data when fitting the PARAFAC model: single imputation (SI) combined with a standard PARAFAC ...
Tomasi, G., Bro, R.
openaire   +1 more source

Candecomp/Parafac with ridge regularization

Chemometrics and Intelligent Laboratory Systems, 2013
Abstract The Candecomp/Parafac (CP) model decomposes a three-way array through components. In the practical use of CP, degeneracy may arise, i.e. CP parameter matrices with diverging, highly collinear and uninterpretable components. A frequently applied remedy to degeneracy is to fit a CP model with orthogonality constraints on one of the component ...
GIORDANI, Paolo   +2 more
openaire   +3 more sources

Fundamentals of PARAFAC

2015
Abstract Parallel Factor Analysis (PARAFAC) is a popular multiway decomposition method for analytical data. This chapter introduces the PARAFAC model and the concepts of bilinearity and trilinearity of second-order data. The ALS algorithm to calculate the model, and the use of PARAFAC for calibration are also described. Practical aspects such as data
Ricard Boqué Martí   +1 more
openaire   +1 more source

Remedies for Degeneracy in Candecomp/Parafac

2016
In many psychological studies variables are measured for some subjects in different conditions. In these cases the available information is stored in a three-way data array. Three-way extensions of Principal Component Analysis have been introduced to summarize such an array through components.
GIORDANI, Paolo, ROCCI, Roberto
openaire   +3 more sources

PARAFAC. Tutorial and applications

Chemometrics and Intelligent Laboratory Systems, 1997
Abstract This paper explains the multi-way decomposition method PARAFAC and its use in chemometrics. PARAFAC is a generalization of PCA to higher order arrays, but some of the characteristics of the method are quite different from the ordinary two-way case.
openaire   +1 more source

Rank Splitting for CANDECOMP/PARAFAC

2015
CANDECOMP/PARAFAC CP approximates multiway data by a sum of rank-1 tensors. Our recent study has presented a method to rank-1 tensor deflation, i.e. sequential extraction of rank-1 tensor components. In this paper, we extend the method to block deflation problem.
Anh-Huy Phan   +2 more
openaire   +1 more source

PARAFAC algorithms for large-scale problems

Neurocomputing, 2011
Parallel factor analysis (PARAFAC) is a tensor (multiway array) factorization method which allows to find hidden factors (component matrices) from a multidimensional data. Most of the existing algorithms for the PARAFAC, especially the alternating least squares (ALS) algorithm need to compute Khatri-Rao products of tall factors and multiplication of ...
Anh Huy Phan, Andrzej Cichocki
openaire   +1 more source

PARAFAC with splines: a case study

Journal of Chemometrics, 2002
AbstractThe PARAFAC model has been used in several applications in chemistry, e.g. for overlapped spectra resolution and second‐order calibration. In general, the PARAFAC method uses a vector space approach by considering the matrices resulting from the decomposition as a collection of vectors.
Marlon M. Reis, Márcia M. C. Ferreira
openaire   +1 more source

Modeling Food Fluorescence with PARAFAC

2018
Parallel factor analysis (PARAFAC) of food fluorescence has found many applications in food science, such as in non-contact and non-destructive food characterization, the detection of food adulteration, and the authentication of geographical and botanical origins of food products. This Chapter presents a theoretical background of the PARAFAC method and
Ackovic, Lea Lenhardt   +4 more
openaire   +2 more sources

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