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 …

Prospect of using machine learning-based microwave nondestructive testing technique for corrosion under insulation: A review

TS Yee, NHMM Shrifan, AJA Al-Gburi, NAM Isa… - IEEE …, 2022 - ieeexplore.ieee.org
Corrosion under insulations is described as localized corrosion that forms because of
moisture penetration through the insulation materials or due to contaminants' presence …

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 …

Sparse principal component analysis via variable projection

NB Erichson, P Zheng, K Manohar, SL Brunton… - SIAM Journal on Applied …, 2020 - SIAM
Sparse principal component analysis (SPCA) has emerged as a powerful technique for
modern data analysis, providing improved interpretation of low-rank structures by identifying …

[BOOK][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 …

Randomized numerical linear algebra: A perspective on the field with an eye to software

R Murray, J Demmel, MW Mahoney… - arxiv preprint arxiv …, 2023 - arxiv.org
Randomized numerical linear algebra-RandNLA, for short-concerns the use of
randomization as a resource to develop improved algorithms for large-scale linear algebra …

Randomized matrix decompositions using R

NB Erichson, S Voronin, SL Brunton… - arxiv preprint arxiv …, 2016 - arxiv.org
Matrix decompositions are fundamental tools in the area of applied mathematics, statistical
computing, and machine learning. In particular, low-rank matrix decompositions are vital …

Scientific machine learning enables multiphysics digital twins of large-scale electronic chips

X Li, Q Zhan, B Sun, H Feng, Y Zeng… - IEEE Transactions …, 2022 - ieeexplore.ieee.org
We propose a scientific machine learning (SciML) algorithm toward 3-D dynamic digital
twins, which represent multiphysics coupling effects in large-scale electronic chips. The …

Accelerating nonnegative matrix factorization algorithms using extrapolation

AMS Ang, N Gillis - Neural computation, 2019 - direct.mit.edu
We propose a general framework to accelerate significantly the algorithms for nonnegative
matrix factorization (NMF). This framework is inspired from the extrapolation scheme used to …

Randomized low‐rank approximation methods for projection‐based model order reduction of large nonlinear dynamical problems

C Bach, D Ceglia, L Song… - International Journal for …, 2019 - Wiley Online Library
Projection‐based nonlinear model order reduction (MOR) methods typically make use of a
reduced basis to approximate high‐dimensional quantities. However, the most popular …