Nonnegative matrix factorization: A comprehensive review
Nonnegative Matrix Factorization (NMF), a relatively novel paradigm for dimensionality
reduction, has been in the ascendant since its inception. It incorporates the nonnegativity …
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 …
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≈ 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 …
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
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 …
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
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 …
localized surface plasmon resonances (LSPRs). The sensitivity of each LSPR mode, whose …
Multichannel nonnegative matrix factorization in convolutive mixtures for audio source separation
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 …
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 …
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 …
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 …
key problem in data analysis. Simple and powerful methods to achieve this goal are linear …
Archetypal analysis for machine learning and data mining
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 …
convex hull (pch) of a data set. As such aa favors features that constitute representative …