Error Analysis of Low-rank Three-Way Tensor Factorization Approach to Blind Source Separation [PDF]
International audienceIn tensor factorization approaches to blind separation of multidimensional sources, two formulas for calculating the source tensor have emerged.
Comon, Pierre +3 more
core +3 more sources
Renormalization group flows of Hamiltonians using tensor networks [PDF]
A renormalization group flow of Hamiltonians for two-dimensional classical partition functions is constructed using tensor networks. Similar to tensor network renormalization ([G. Evenbly and G. Vidal, Phys. Rev. Lett. 115, 180405 (2015)], [S. Yang, Z.-C.
Bal, Matthias +3 more
core +3 more sources
Overview of Constrained PARAFAC Models [PDF]
In this paper, we present an overview of constrained PARAFAC models where the constraints model linear dependencies among columns of the factor matrices of the tensor decomposition, or alternatively, the pattern of interactions between different modes of
de Almeida, André L. F. +1 more
core +3 more sources
A new penalized nonnegative third order tensor decomposition using a block coordinate proximal gradient approach: application to 3D fluorescence spectroscopy [PDF]
International audienceIn this article, we address the problem of tensor factorization subject to certain constraints. We focus on the Canonical Polyadic Decomposition (CPD) also known as Parafac.
Carstea, Elfrida, Mihaela +4 more
core +1 more source
Focus 3D: Compressive Accommodation Display [PDF]
We present a glasses-free 3D display design with the potential to provide viewers with nearly correct accommodative depth cues, as well as motion parallax and binocular cues.
Fuchs, Henry +5 more
core +1 more source
A tensor-based approach for automatic music genre classification [PDF]
Most music genre classification techniques employ pattern recognition algorithms to classify feature vectors extracted from recordings into genres.
Benetos, E., Kotropoulos, C.
core +1 more source
A Tensor-Based Dictionary Learning Approach to Tomographic Image Reconstruction
We consider tomographic reconstruction using priors in the form of a dictionary learned from training images. The reconstruction has two stages: first we construct a tensor dictionary prior from our training data, and then we pose the reconstruction ...
Hansen, Per Christian +2 more
core +1 more source
International audienceWe consider blind source separation in chemical analysis focussing on the 3D fluorescence spectroscopy framework. We present an alternative method to process the Fluorescence Excitation-Emission Matrices (FEEM): first, a ...
Belzile +56 more
core +4 more sources
Analysis of Large-Scale Traffic Dynamics in an Urban Transportation Network Using Non-Negative Tensor Factorization [PDF]
International audienceIn this paper, we present our work on clustering and prediction of temporal evolution of global congestion configurations in a large-scale urban transportation network.
Han, Yufei, Moutarde, Fabien
core +3 more sources
Accelerating Nonnegative Matrix Factorization Algorithms using Extrapolation
In this paper, we propose a general framework to accelerate significantly the algorithms for nonnegative matrix factorization (NMF). This framework is inspired from the extrapolation scheme used to accelerate gradient methods in convex optimization and ...
Ang, Andersen Man Shun, Gillis, Nicolas
core +1 more source

