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 …
Generalized low rank models
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 …
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
We review algorithms developed for nonnegative matrix factorization (NMF) and
nonnegative tensor factorization (NTF) from a unified view based on the block coordinate …
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 …
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 …
high-dimensional data as it automatically extracts sparse and meaningful features from a set …
Accelerated multiplicative updates and hierarchical ALS algorithms for nonnegative matrix factorization
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 …
of applications such as text mining, image processing, hyperspectral data analysis …
Two algorithms for orthogonal nonnegative matrix factorization with application to clustering
Approximate matrix factorization techniques with both nonnegativity and orthogonality
constraints, referred to as orthogonal nonnegative matrix factorization (ONMF), have been …
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 …
learning because it automatically extracts meaningful features through a sparse and part …
Hierarchical clustering of hyperspectral images using rank-two nonnegative matrix factorization
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 …
hyperspectral images (HSI). At the core of the algorithm, a new rank-two nonnegative matrix …