Nonnegative matrix factorization: A comprehensive review

YX Wang, YJ Zhang - IEEE Transactions on knowledge and …, 2012 - ieeexplore.ieee.org
Nonnegative Matrix Factorization (NMF), a relatively novel paradigm for dimensionality
reduction, has been in the ascendant since its inception. It incorporates the nonnegativity …

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 …

[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 …

Algorithms for nonnegative matrix factorization with the β-divergence

C Févotte, J Idier - Neural computation, 2011 - ieeexplore.ieee.org
This letter describes algorithms for nonnegative matrix factorization (NMF) with the β-
divergence (β-NMF). The β-divergence is a family of cost functions parameterized by a …

Three-dimensional imaging of localized surface plasmon resonances of metal nanoparticles

O Nicoletti, F de La Peña, RK Leary, DJ Holland… - Nature, 2013 - nature.com
The remarkable optical properties of metal nanoparticles are governed by the excitation of
localized surface plasmon resonances (LSPRs). The sensitivity of each LSPR mode, whose …

Multichannel nonnegative matrix factorization in convolutive mixtures for audio source separation

A Ozerov, C Févotte - IEEE transactions on audio, speech, and …, 2009 - ieeexplore.ieee.org
We consider inference in a general data-driven object-based model of multichannel audio
data, assumed generated as a possibly underdetermined convolutive mixture of source …

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 …

Non-negative matrix factorization revisited: Uniqueness and algorithm for symmetric decomposition

K Huang, ND Sidiropoulos… - IEEE Transactions on …, 2013 - ieeexplore.ieee.org
Non-negative matrix factorization (NMF) has found numerous applications, due to its ability
to provide interpretable decompositions. Perhaps surprisingly, existing results regarding its …

[ΒΙΒΛΙΟ][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 …

Archetypal analysis for machine learning and data mining

M Mørup, LK Hansen - Neurocomputing, 2012 - Elsevier
Archetypal analysis (aa) proposed by Cutler and Breiman (1994)[7] estimates the principal
convex hull (pch) of a data set. As such aa favors features that constitute representative …