Symmetric nonnegative matrix factorization: A systematic review

WS Chen, K **e, R Liu, B Pan - Neurocomputing, 2023 - Elsevier
In recent years, symmetric non-negative matrix factorization (SNMF), a variant of non-
negative matrix factorization (NMF), has emerged as a promising tool for data analysis. This …

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 …

[PDF][PDF] Nonnegative matrix factorization for signal and data analytics: Identifiability, algorithms, and applications.

X Fu, K Huang, ND Sidiropoulos… - IEEE Signal Process …, 2019 - ieeexplore.ieee.org
X≈ WH, W∈ RM× R, H∈ RN× R,(1) to 'explain'the data matrix X, where W≥ 0, H≥ 0, and
R≤ min {M, N}. At first glance, NMF is nothing but an alternative factorization model to …

Sparse Bayesian classification of EEG for brain–computer interface

Y Zhang, G Zhou, J **, Q Zhao… - IEEE transactions on …, 2015 - ieeexplore.ieee.org
Regularization has been one of the most popular approaches to prevent overfitting in
electroencephalogram (EEG) classification of brain-computer interfaces (BCIs). The …

The why and how of nonnegative matrix factorization

N Gillis - … , optimization, kernels, and support vector machines, 2014 - books.google.com
Nonnegative matrix factorization (NMF) has become a widely used tool for the analysis of
high-dimensional data as it automatically extracts sparse and meaningful features from a set …

[LIBRO][B] Nonnegative matrix factorization

N Gillis - 2020 - SIAM
Identifying the underlying structure of a data set and extracting meaningful information is a
key problem in data analysis. Simple and powerful methods to achieve this goal are linear …

Linked component analysis from matrices to high-order tensors: Applications to biomedical data

G Zhou, Q Zhao, Y Zhang, T Adalı, S **e… - Proceedings of the …, 2016 - ieeexplore.ieee.org
With the increasing availability of various sensor technologies, we now have access to large
amounts of multiblock (also called multiset, multirelational, or multiview) data that need to be …

Group component analysis for multiblock data: Common and individual feature extraction

G Zhou, A Cichocki, Y Zhang… - IEEE transactions on …, 2015 - ieeexplore.ieee.org
Real-world data are often acquired as a collection of matrices rather than as a single matrix.
Such multiblock data are naturally linked and typically share some common features while at …

[PDF][PDF] Sparse and unique nonnegative matrix factorization through data preprocessing

N Gillis - The Journal of Machine Learning Research, 2012 - jmlr.org
Nonnegative matrix factorization (NMF) has become a very popular technique in machine
learning because it automatically extracts meaningful features through a sparse and part …

On identifiability of nonnegative matrix factorization

X Fu, K Huang, ND Sidiropoulos - IEEE Signal Processing …, 2018 - ieeexplore.ieee.org
In this letter, we propose a new identification criterion that guarantees the recovery of the low-
rank latent factors in the nonnegative matrix factorization (NMF) generative model, under …