A tutorial on the Lasso approach to sparse modeling

MA Rasmussen, R Bro - Chemometrics and Intelligent Laboratory Systems, 2012 - Elsevier
In applied research data are often collected from sources with a high dimensional
multivariate output. Analysis of such data is composed of eg extraction and characterization …

Nonnegative matrix and tensor factorization [lecture notes]

A Cichocki, R Zdunek, S Amari - IEEE signal processing …, 2007 - ieeexplore.ieee.org
In these lecture notes, the authors have outlined several approaches to solve a NMF/NTF
problem. The following main conclusions can be drawn: 1) Multiplicative algorithms are not …

Tensor analysis and fusion of multimodal brain images

E Karahan, PA Rojas-Lopez… - Proceedings of the …, 2015 - ieeexplore.ieee.org
Current high-throughput data acquisition technologies probe dynamical systems with
different imaging modalities, generating massive data sets at different spatial and temporal …

Determination of the number of components in the PARAFAC model with a nonnegative tensor structure: A simulated EEG data study

Z Rošťáková, R Rosipal - Neural Computing and Applications, 2022 - Springer
Parallel factor analysis (PARAFAC) is a powerful tool for detecting latent components in
human electroencephalogram (EEG) in the time-space-frequency domain. As an essential …

L1-penalized N-way PLS for subset of electrodes selection in BCI experiments

A Eliseyev, C Moro, J Faber, A Wyss… - Journal of neural …, 2012 - iopscience.iop.org
Recently, the N-way partial least squares (NPLS) approach was reported as an effective tool
for neuronal signal decoding and brain–computer interface (BCI) system calibration. This …

A fast scale-invariant algorithm for non-negative least squares with non-negative data

J Diakonikolas, C Li… - Advances in Neural …, 2022 - proceedings.neurips.cc
Nonnegative (linear) least square problems are a fundamental class of problems that is well-
studied in statistical learning and for which solvers have been implemented in many of the …

Parallel factor analysis for multidimensional decomposition of functional near-infrared spectroscopy data

A Hüsser, L Caron-Desrochers, J Tremblay… - …, 2022 - spiedigitallibrary.org
Significance Current techniques for data analysis in functional near-infrared spectroscopy
(fNIRS), such as artifact correction, do not allow to integrate the information originating from …

Tensor decomposition meets rkhs: Efficient algorithms for smooth and misaligned data

BW Larsen, TG Kolda, AR Zhang… - arXiv preprint arXiv …, 2024 - arxiv.org
The canonical polyadic (CP) tensor decomposition decomposes a multidimensional data
array into a sum of outer products of finite-dimensional vectors. Instead, we can replace …

Cortical mapping of painful electrical stimulation by quantitative electroencephalography: Unraveling the time–frequency–channel domain

L Goudman, J Laton, R Brouns, G Nagels… - Journal of Pain …, 2017 - Taylor & Francis
The goal of this study was to capture the electroencephalographic signature of
experimentally induced pain and pain-modulating mechanisms after painful peripheral …

Exploring individual and group differences in latent brain networks using cross-validated simultaneous component analysis

NE Helwig, MA Snodgress - NeuroImage, 2019 - Elsevier
Component models such as PCA and ICA are often used to reduce neuroimaging data into
a smaller number of components, which are thought to reflect latent brain networks. When …