Matrix factorization techniques in machine learning, signal processing, and statistics

KL Du, MNS Swamy, ZQ Wang, WH Mow - Mathematics, 2023 - mdpi.com
Compressed sensing is an alternative to Shannon/Nyquist sampling for acquiring sparse or
compressible signals. Sparse coding represents a signal as a sparse linear combination of …

Linear and nonlinear projective nonnegative matrix factorization

Z Yang, E Oja - IEEE Transactions on Neural Networks, 2010 - ieeexplore.ieee.org
A variant of nonnegative matrix factorization (NMF) which was proposed earlier is analyzed
here. It is called projective nonnegative matrix factorization (PNMF). The new method …

Algorithms for orthogonal nonnegative matrix factorization

S Choi - 2008 ieee international joint conference on neural …, 2008 - ieeexplore.ieee.org
Nonnegative matrix factorization (NMF) is a widely-used method for multivariate analysis of
nonnegative data, the goal of which is decompose a data matrix into a basis matrix and an …

Community detection with edge content in social media networks

GJ Qi, CC Aggarwal, T Huang - 2012 IEEE 28th International …, 2012 - ieeexplore.ieee.org
The problem of community detection in social media has been widely studied in the social
networking community in the context of the structure of the underlying graphs. Most …

Multiplex cellular communities in multi-gigapixel colorectal cancer histology images for tissue phenoty**

S Javed, A Mahmood, N Werghi… - … on Image Processing, 2020 - ieeexplore.ieee.org
In computational pathology, automated tissue phenoty** in cancer histology images is a
fundamental tool for profiling tumor microenvironments. Current tissue phenoty** methods …

Non-negative multilinear principal component analysis of auditory temporal modulations for music genre classification

Y Panagakis, C Kotropoulos… - IEEE Transactions on …, 2009 - ieeexplore.ieee.org
Motivated by psychophysiological investigations on the human auditory system, a bio-
inspired two-dimensional auditory representation of music signals is exploited, that captures …

Panda: Unsupervised learning of parts and appearances in the feature maps of gans

J Oldfield, C Tzelepis, Y Panagakis… - arxiv preprint arxiv …, 2022 - arxiv.org
Recent advances in the understanding of Generative Adversarial Networks (GANs) have led
to remarkable progress in visual editing and synthesis tasks, capitalizing on the rich …

Bilinear models of parts and appearances in generative adversarial networks

J Oldfield, C Tzelepis, Y Panagakis… - … on Pattern Analysis …, 2024 - ieeexplore.ieee.org
Recent advances in the understanding of Generative Adversarial Networks (GANs) have led
to remarkable progress in visual editing and synthesis tasks, capitalizing on the rich …

A topology simplification method for 2D vector fields

X Tricoche, G Scheuermann… - … Visualization 2000. VIS …, 2000 - ieeexplore.ieee.org
Topology analysis of plane, turbulent vector fields results in visual clutter caused by critical
points indicating vortices of finer and finer scales. A simplification can be achieved by …

Unified development of multiplicative algorithms for linear and quadratic nonnegative matrix factorization

Z Yang, E Oja - IEEE transactions on neural networks, 2011 - ieeexplore.ieee.org
Multiplicative updates have been widely used in approximative nonnegative matrix
factorization (NMF) optimization because they are convenient to deploy. Their convergence …