Multimodal data fusion: an overview of methods, challenges, and prospects

D Lahat, T Adali, C Jutten - Proceedings of the IEEE, 2015 - ieeexplore.ieee.org
In various disciplines, information about the same phenomenon can be acquired from
different types of detectors, at different conditions, in multiple experiments or subjects …

Data fusion in metabolomics using coupled matrix and tensor factorizations

E Acar, R Bro, AK Smilde - Proceedings of the IEEE, 2015 - ieeexplore.ieee.org
With a goal of identifying biomarkers/patterns related to certain conditions or diseases,
metabolomics focuses on the detection of chemical substances in biological samples such …

Source separation in chemical analysis: Recent achievements and perspectives

LT Duarte, S Moussaoui, C Jutten - IEEE Signal Processing …, 2014 - ieeexplore.ieee.org
Since its origins in the mid-1980s, the field of blind source separation (BSS) has attracted
considerable attention within the signal processing community. One of the main reasons for …

Geometric unmixing of large hyperspectral images: A barycentric coordinate approach

P Honeine, C Richard - IEEE Transactions on Geoscience and …, 2011 - ieeexplore.ieee.org
In hyperspectral imaging, spectral unmixing is one of the most challenging and fundamental
problems. It consists of breaking down the spectrum of a mixed pixel into a set of pure …

Determination and visualization of rotational ambiguity in four-component systems

A Golshan, M Maeder, H Abdollahi - Analytica Chimica Acta, 2013 - Elsevier
One of the main problems that limit the use of model-free analysis methods for the resolution
of multivariate data is that usually there is rotational ambiguity in the result. While methods …

Quaternion non-negative matrix factorization: Definition, uniqueness, and algorithm

J Flamant, S Miron, D Brie - IEEE Transactions on Signal …, 2020 - ieeexplore.ieee.org
This article introduces quaternion non-negative matrix factorization (QNMF), which
generalizes the usual non-negative matrix factorization (NMF) to the case of polarized …

Separable quaternion matrix factorization for polarization images

J Pan, MK Ng - SIAM Journal on Imaging Sciences, 2023 - SIAM
A transverse wave is a wave in which the particles are displaced perpendicular to the
direction of the wave's advance. Examples of transverse waves include ripples on the …

[PDF][PDF] Regularized nonnegative matrix factorization: Geometrical interpretation and application to spectral unmixing

R Zdunek - 2014 - intapi.sciendo.com
Nonnegative Matrix Factorization (NMF) is an important tool in data spectral analysis.
However, when a mixing matrix or sources are not sufficiently sparse, NMF of an observation …

Approximation of feature vectors in nonnegative matrix factorization with Gaussian radial basis functions

R Zdunek - … : 19th International Conference, ICONIP 2012, Doha …, 2012 - Springer
Abstract Nonnegative Matrix Factorization (NMF) is a feature extraction technique that has
already found numerous applications in machine learning and data processing. In some …

Joint analysis of flow cytometry data and fluorescence spectra as a non-negative array factorization problem

D Brie, R Klotz, S Miron, S Moussaoui, C Mustin… - Chemometrics and …, 2014 - Elsevier
The paper presents a novel approach to the processing of flow cytometry data sequences. It
consists in decomposing a sequence of multidimensional probability density functions by …