Online nonnegative and sparse canonical polyadic decomposition of fluorescence tensors

IW Sanou, R Redon, X Luciani, S Mounier - Chemometrics and Intelligent …, 2022 - Elsevier
Abstract The NonNegative Canonical Polyadic Decomposition (NN-CPD) is used in many
fields such as in chemistry, biology and medicine. The data coming from these fields can be …

Globally convergent Jacobi-type algorithms for simultaneous orthogonal symmetric tensor diagonalization

J Li, K Usevich, P Comon - SIAM Journal on Matrix Analysis and Applications, 2018 - SIAM
In this paper, we consider a family of Jacobi-type algorithms for a simultaneous orthogonal
diagonalization problem of symmetric tensors. For the Jacobi-based algorithm of [M. Ishteva …

Accelerating probabilistic tensor canonical polyadic decomposition with nonnegative factors: An inexact BCD Approach

Z Chen, L Cheng, YC Wu - Signal Processing, 2023 - Elsevier
Recently, Bayesian modeling and variational inference (VI) were leveraged to enable the
nonnegative factor matrix learning with automatic rank determination in tensor canonical …

Online nonnegative canonical polyadic decomposition: Algorithms and application

IW Sanou, R Redon, X Luciani… - 2021 29th European …, 2021 - ieeexplore.ieee.org
The Nonnegative Canonical Polyadic Decomposition (NN-CPD) is now widely used in
signal processing to decompose multi-way arrays thanks to nonnegative factor matrices. In …

A Primal-Dual algorithm for nonnegative N-th order CP tensor decomposition: application to fluorescence spectroscopy data analysis

K El Qate, M El Rhabi, A Hakim, E Moreau… - … Systems and Signal …, 2022 - Springer
This work concerns the resolution of inverse problems encountered in multidimensional
signal processing problems. Here, we address the problem of tensor decomposition, more …

Online Canonical Polyadic Decomposition: Application of Fluorescence Tensors with Nonnegative Orthogonality and Sparse Constraint

IW Sanou, X Luciani, R Redon, S Mounier - … Algorithms-Classics and …, 2024 - hal.science
The canonical polyadic decomposition (CPD) is now widely used in signal processing to
decompose multi-way arrays. In many applications, it is important to add constraints to …

A parallel strategy for an evolutionary stochastic algorithm: application to the CP decomposition of nonnegative N-th order tensors

S Laura, C Prissette, S Maire… - 2020 28th European …, 2021 - ieeexplore.ieee.org
In this article, we address the problem of the Canonical Polyadic decomposition (aka CP,
Candecomp or Parafac decomposition) of N-th order tensors that can be very large. In our …

Sparse nonnegative CANDECOMP/PARAFAC decomposition in block coordinate descent framework: A comparison study

D Wang, F Cong, T Ristaniemi - arXiv preprint arXiv:1812.10637, 2018 - arxiv.org
Nonnegative CANDECOMP/PARAFAC (NCP) decomposition is an important tool to process
nonnegative tensor. Sometimes, additional sparse regularization is needed to extract …

Decomposition of large nonnegative tensors using memetic algorithms with application to environmental data analysis

S Maire, X Vu, C Chaux, C Prissette, N Thirion-Moreau - 2019 - amu.hal.science
In this article, we address the problem of the Canonical Polyadic decomposition (or
Candecomp/Parafac Decomposition) of large N-way tensors under nonnegativity …

Computation of the nonnegative canonical tensor decomposition with two accelerated proximal gradient algorithms

M Nazih, K Minaoui, E Sobhani, P Comon - Digital Signal Processing, 2022 - Elsevier
Multidimensional signal analysis has become an important part of many signal processing
problems. This type of analysis allows to take advantage of different diversities of a signal in …