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 …

Generalized low rank models

M Udell, C Horn, R Zadeh, S Boyd - Foundations and Trends® …, 2016 - nowpublishers.com
Principal components analysis (PCA) is a well-known technique for approximating a tabular
data set by a low rank matrix. Here, we extend the idea of PCA to handle arbitrary data sets …

Algorithms for nonnegative matrix and tensor factorizations: A unified view based on block coordinate descent framework

J Kim, Y He, H Park - Journal of Global Optimization, 2014 - Springer
We review algorithms developed for nonnegative matrix factorization (NMF) and
nonnegative tensor factorization (NTF) from a unified view based on the block coordinate …

Regularized non-negative matrix factorization for identifying differentially expressed genes and clustering samples: A survey

JX Liu, D Wang, YL Gao, CH Zheng… - … /ACM transactions on …, 2017 - ieeexplore.ieee.org
Non-negative Matrix Factorization (NMF), a classical method for dimensionality reduction,
has been applied in many fields. It is based on the idea that negative numbers are physically …

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 …

[책][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 …

Accelerated multiplicative updates and hierarchical ALS algorithms for nonnegative matrix factorization

N Gillis, F Glineur - Neural computation, 2012 - direct.mit.edu
Nonnegative matrix factorization (NMF) is a data analysis technique used in a great variety
of applications such as text mining, image processing, hyperspectral data analysis …

Two algorithms for orthogonal nonnegative matrix factorization with application to clustering

F Pompili, N Gillis, PA Absil, F Glineur - Neurocomputing, 2014 - Elsevier
Approximate matrix factorization techniques with both nonnegativity and orthogonality
constraints, referred to as orthogonal nonnegative matrix factorization (ONMF), have been …

[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 …

Hierarchical clustering of hyperspectral images using rank-two nonnegative matrix factorization

N Gillis, D Kuang, H Park - IEEE Transactions on Geoscience …, 2014 - ieeexplore.ieee.org
In this paper, we design a fast hierarchical clustering algorithm for high-resolution
hyperspectral images (HSI). At the core of the algorithm, a new rank-two nonnegative matrix …