Study Of Different Strategies For The Canonical Polyadic Decomposition Of Nonnegative Third Order Tensors With Application To The Separation Of Spectra In 3D Fluorescence Spectroscopy

Abstract : In this communication, the problem of blind source separation in chemical analysis and more precisely in the fluo-rescence spectroscopy framework is addressed. Classically multi-linear Canonical Polyadic (CP or Candecomp/Parafac) decompositions algorithms are used to perform that task. Yet, as the constituent vectors of the loading matrices should be nonnegative since they stand for nonnegative quantities (spectra and concentrations), we focus on NonNegative CP decomposition algorithms (NNCP). In the unconstrained case, two types of trilinear (or triadic) decomposition model have been studied. Here, our aim is to investigate different strategies concerning the choice of models and optimization schemes in the case of a nonnegativity constraint. Computer simulations are performed on synthetic data to illustrate the robustness of the proposed approaches versus overfactoring problems but also the critical importance of the use of regularization terms.
Document type :
Conference papers
Complete list of metadatas

Cited literature [23 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01278483
Contributor : Caroline Chaux <>
Submitted on : Wednesday, February 24, 2016 - 4:41:26 PM
Last modification on : Tuesday, April 2, 2019 - 2:03:22 AM
Long-term archiving on : Wednesday, May 25, 2016 - 10:40:59 AM

File

MLSP2014XuanHAL.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01278483, version 1

Citation

Xuan Thanh Vu †, Caroline Chaux, Sylvain Maire, Nadège Thirion-Moreau. Study Of Different Strategies For The Canonical Polyadic Decomposition Of Nonnegative Third Order Tensors With Application To The Separation Of Spectra In 3D Fluorescence Spectroscopy. 2014 IEEE International Workshop on Machine Learning for Signal Processing (MLSP 2014), Sep 2014, Reims, France. ⟨hal-01278483⟩

Share

Metrics

Record views

422

Files downloads

140