A survey on deep matrix factorizations

P De Handschutter, N Gillis, X Siebert - Computer Science Review, 2021 - Elsevier
Constrained low-rank matrix approximations have been known for decades as powerful
linear dimensionality reduction techniques able to extract the information contained in large …

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 …

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 …

[图书][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 …

Proximal alternating-direction-method-of-multipliers-incorporated nonnegative latent factor analysis

F Bi, X Luo, B Shen, H Dong… - IEEE/CAA Journal of …, 2023 - ieeexplore.ieee.org
High-dimensional and incomplete (HDI) data subject to the nonnegativity constraints are
commonly encountered in a big data-related application concerning the interactions among …

A fast nonnegative autoencoder-based approach to latent feature analysis on high-dimensional and incomplete data

F Bi, T He, X Luo - IEEE Transactions on Services Computing, 2023 - ieeexplore.ieee.org
High-Dimensional and Incomplete (HDI) data are frequently encountered in various Big
Data-related applications. Despite its incompleteness, an HDI data repository contains rich …

A novel underdetermined blind source separation algorithm of frequency-hopping signals via time-frequency analysis

Y Wang, Y Li, Q Sun, Y Li - … on Circuits and Systems II: Express …, 2023 - ieeexplore.ieee.org
To address the significant performance degradation of conventional underdetermined blind
source separation algorithms for frequency-hopping (FH) signals under time-frequency (TF) …

Blind image separation for the debonding defects recognition of the solid propellant rocket motor cladding layer using pulse thermography

F Wang, J Liu, B Dong, J Gong, W Peng, Y Wang… - Measurement, 2021 - Elsevier
Blind image separation based on wavelet transform (WT) enhancement algorithm for the
pulse thermography was introduced as a novel modality to recognize the debonding defects …

Low-rank nonnegative tensor approximation via alternating projections and sketching

A Sultonov, S Matveev, S Budzinskiy - Computational and Applied …, 2023 - Springer
We show how to construct nonnegative low-rank approximations of nonnegative tensors in
Tucker and tensor train formats. We use alternating projections between the nonnegative …

Simplex-structured matrix factorization: Sparsity-based identifiability and provably correct algorithms

M Abdolali, N Gillis - SIAM Journal on Mathematics of Data Science, 2021 - SIAM
In this paper, we provide novel algorithms with identifiability guarantees for simplex-
structured matrix factorization (SSMF), a generalization of nonnegative matrix factorization …