The rise of nonnegative matrix factorization: algorithms and applications

YT Guo, QQ Li, CS Liang - Information Systems, 2024 - Elsevier
Although nonnegative matrix factorization (NMF) is widely used, some matrix factorization
methods result in misleading results and waste of computing resources due to lack of timely …

New methods for unmixing sediment grain size data

GA Paterson, D Heslop - Geochemistry, Geophysics …, 2015 - Wiley Online Library
Grain size distribution (GSD) data are widely used in Earth sciences and although large data
sets are regularly generated, detailed numerical analyses are not routine. Unmixing GSDs …

Numerical strategies for magnetic mineral unmixing

D Heslop - Earth-Science Reviews, 2015 - Elsevier
Iron-bearing minerals are sensitive to a wide spectrum of natural processes and thus carry
important environmental information. In environmental magnetism, various techniques are …

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 …

Families of alpha-beta-and gamma-divergences: Flexible and robust measures of similarities

A Cichocki, S Amari - Entropy, 2010 - mdpi.com
In this paper, we extend and overview wide families of Alpha-, Beta-and Gamma-
divergences and discuss their fundamental properties. In literature usually only one single …

Fast local algorithms for large scale nonnegative matrix and tensor factorizations

A Cichocki, AH Phan - IEICE transactions on fundamentals of …, 2009 - search.ieice.org
Nonnegative matrix factorization (NMF) and its extensions such as Nonnegative Tensor
Factorization (NTF) have become prominent techniques for blind sources separation (BSS) …

Role discovery in networks

RA Rossi, NK Ahmed - IEEE Transactions on Knowledge and …, 2014 - ieeexplore.ieee.org
Roles represent node-level connectivity patterns such as star-center, star-edge nodes, near-
cliques or nodes that act as bridges to different regions of the graph. Intuitively, two nodes …

[HTML][HTML] Limestone: High-throughput candidate phenotype generation via tensor factorization

JC Ho, J Ghosh, SR Steinhubl, WF Stewart… - Journal of biomedical …, 2014 - Elsevier
The rapidly increasing availability of electronic health records (EHRs) from multiple
heterogeneous sources has spearheaded the adoption of data-driven approaches for …

Noninvasive BCIs: Multiway signal-processing array decompositions

A Cichocki, Y Washizawa, T Rutkowski… - Computer, 2008 - ieeexplore.ieee.org
In addition to hel** better understand how the human brain works, the brain-computer
interface neuroscience paradigm allows researchers to develop a new class of …

Local damage detection based on vibration data analysis in the presence of Gaussian and heavy-tailed impulsive noise

J Wodecki, A Michalak, R Zimroz - Measurement, 2021 - Elsevier
Local damage detection in bearings focuses on the identification of periodically impulsive
components. Popular methods assume presence of either non-Gaussian noise or different …