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 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 …

Manifold regularized sparse archetype analysis considering endmember variability

M Xu, X Zou, S Liu, H Sheng… - IEEE Geoscience and …, 2023 - ieeexplore.ieee.org
Due to the low resolution of hyperspectral images (HSIs), the problem of mixed pixels is
common, and hyperspectral unmixing (HU) is a crucial technology to solve the problem of …

Entropic descent archetypal analysis for blind hyperspectral unmixing

A Zouaoui, G Muhawenayo, B Rasti… - … on Image Processing, 2023 - ieeexplore.ieee.org
In this paper, we introduce a new algorithm based on archetypal analysis for blind
hyperspectral unmixing, assuming linear mixing of endmembers. Archetypal analysis is a …

L₁ Sparsity-Constrained Archetypal Analysis Algorithm for Hyperspectral Unmixing

M Xu, Z Yang, G Ren, H Sheng, S Liu… - IEEE Geoscience and …, 2022 - ieeexplore.ieee.org
Hyperspectral unmixing (HU) is widely used to process mixed pixels as an essential
technology. Among them, the nonnegative matrix factorization (NMF)-based approach is one …

A nonconvex archetypal analysis for one-class classification based anomaly detection in cyber-physical systems

P Li, O Niggemann - IEEE transactions on industrial informatics, 2020 - ieeexplore.ieee.org
Data-driven anomaly detection is one of the central issues for the implementation of
predictive maintenance in cyber-physical systems (CPS). The increasing nonstationary …

Archetypal Analysis++: Rethinking the Initialization Strategy

S Mair, J Sjölund - arXiv preprint arXiv:2301.13748, 2023 - arxiv.org
Archetypal analysis is a matrix factorization method with convexity constraints. Due to local
minima, a good initialization is essential, but frequently used initialization methods yield …

Desketching of R-Separable Matrices From Compressive Linear Measurements

N Singh, S Khanna - … Workshop on Machine Learning for Signal …, 2023 - ieeexplore.ieee.org
High-dimensional datasets manifest as r-separable matrices in a wide range of applications
such as hyperspectral imaging, text mining, astronomy, and archetypal analysis of scientific …

[PDF][PDF] Computer Science Review

P De Handschutter, N Gillis, X Siebert - 2021 - orbi.umons.ac.be
abstract Constrained low-rank matrix approximations have been known for decades as
powerful linear dimensionality reduction techniques able to extract the information contained …