Title :

Three-Way Data Reduction Based on Essential Information

Author(s) :

Vitale, Raffaele [Auteur]
Laboratoire Avancé de Spectroscopie pour les Intéractions la Réactivité et l'Environnement (LASIRE) - UMR 8516
Azizi, A. [Auteur]
University of Sistan and Baluchestan [Iran]
Ghaffari, M. [Auteur]
Radboud University Medical Center [Nijmegen]
Omidikia, N. [Auteur]
University of Sistan and Baluchestan [Iran]
Ruckebusch, Cyril [Auteur]
Laboratoire Avancé de Spectroscopie pour les Intéractions la Réactivité et l'Environnement (LASIRE) - UMR 8516

Journal title :

J. Chemometr.

Abbreviated title :

J. Chemometr.

Volume number :

-

Pages :

-

Publication date :

2024-12-07

ISSN :

0886-9383

English keyword(s) :

convex polytopes
essential columns (ECs)
essential rows (ERs)
essential tubes (ETs)
parallel factor analysis-alternating least squares (PARAFAC-ALS)
three-mode factor analysis

HAL domain(s) :

Chimie/Chimie théorique et/ou physique

English abstract : [en]

In this article, the idea of essential information-based compression is extended to trilinear datasets. This basically boils down to identifying and labelling the essential rows (ERs), columns (ECs) and tubes (ETs) of such ...
Show more >In this article, the idea of essential information-based compression is extended to trilinear datasets. This basically boils down to identifying and labelling the essential rows (ERs), columns (ECs) and tubes (ETs) of such three-dimensional datasets that allow by themselves to reconstruct in a linear way the entire space of the original measurements. ERs, ECs and ETs can be determined by exploiting convex geometry computational approaches such as convex hull or convex polytope estimations and can be used to generate a reduced version of the data at hand. These compressed data and their uncompressed counterpart share the same multilinear properties and their factorisation (carried out by means of, for example, parallel factor analysis–alternating least squares [PARAFAC-ALS]) yield, in principle, indistinguishable results. More in detail, an algorithm for the assessment and extraction of the essential information encoded in trilinear data structures is here proposed. Its performance was evaluated in both real-world and simulated scenarios which permitted to highlight the benefits that this novel data reduction strategy can bring in domains like multiway fluorescence spectroscopy and imaging.Show less >

Language :

Anglais

Audience :

Internationale

Popular science :

Non

Administrative institution(s) :

Université de Lille
CNRS

Collections :

• Laboratoire Avancé de Spectroscopie pour les Intéractions la Réactivité et l'Environnement (LASIRE) - UMR 8516

Research team(s) :

Dynamics, Nanoscopy & Chemometrics (DyNaChem)

Submission date :

2024-12-09T22:02:06Z
2024-12-18T08:20:38Z