Results 51 to 60 of about 3,813,510 (369)

On the Gauss decomposition of a matrix

Linear Algebra and its Applications, 1992
A variation of the Gauss elimination with reduction process and the decomposition of the computation of the order of some finite linear groups of a matrix is described. Some applications are given analogous to canonical forms of decompositions. The canonical Gauss decomposition is also discussed for the case when the eigenvector matrix contains a ...
openaire   +2 more sources

Decompose Boolean Matrices with Correlation Clustering

Entropy, 2021
One of the tasks of data science is the decomposition of large matrices in order to understand their structures. A special case of this is when we decompose relations, i.e., logical matrices.
László Aszalós
doaj   +1 more source

On the Iwasawa decomposition of a symplectic matrix

Applied Mathematics Letters, 2007
AbstractWe consider the computation of the Iwasawa decomposition of a symplectic matrix via the QR factorization. The algorithms presented improve on the method recently described by T.-Y. Tam in [Computing Iwasawa decomposition of a symplectic matrix by Cholesky factorization, Appl. Math. Lett. (in press) doi:10.1016/j.aml.2006.03.001].
Benzi, Michele, Razouk, Nader
openaire   +3 more sources

Penalized matrix decomposition for denoising, compression, and improved demixing of functional imaging data [PDF]

bioRxiv, 2018
Calcium imaging has revolutionized systems neuroscience, providing the ability to image large neural populations with single-cell resolution. The resulting datasets are quite large (with scales of TB/hour in some cases), which has presented a barrier to ...
E. Kelly Buchanan, Ian Kinsella, Ding Zhou, Rong Zhu, Pengcheng Zhou, Felipe Gerhard, John Ferrante, Yingyi Ma, Sharon H. Kim, Mohammed A. Shaik, Yajie Liang, Rongwen Lu, Jacob Reimer, Paul G. Fahey, Taliah Muhammad, Graham T Dempsey, E. Hillman, Na Ji, A. Tolias, L. Paninski   +19 more
semanticscholar   +1 more source

Decrypting cancer's spatial code: from single cells to tissue niches

Molecular Oncology, EarlyView.
Spatial transcriptomics maps gene activity across tissues, offering powerful insights into how cancer cells are organised, switch states and interact with their surroundings. This review outlines emerging computational, artificial intelligence (AI) and geospatial approaches to define cell states, uncover tumour niches and integrate spatial data with ...
Cenk Celik, Shi Pan, Eloise Withnell, Hou Wang Lam, Maria Secrier   +4 more
wiley   +1 more source

Factorisation Path Based Refactorisation for High-Performance LU Decomposition in Real-Time Power System Simulation

Energies, 2021
The integration of renewable energy sources into modern power systems requires simulations with smaller step sizes, larger network models and the incorporation of complex nonlinear component models.
Jan Dinkelbach, Lennart Schumacher, Lukas Razik, Andrea Benigni, Antonello Monti   +4 more
doaj   +1 more source

Fast Spectral Clustering Using Autoencoders and Landmarks

, 2017
In this paper, we introduce an algorithm for performing spectral clustering efficiently. Spectral clustering is a powerful clustering algorithm that suffers from high computational complexity, due to eigen decomposition.
A Choromanska, A Paccanaro, AK Farahat, C Fowlkes, FR Chung, GE Hinton   +5 more
core   +1 more source

Rethinking plastic waste: innovations in enzymatic breakdown of oil‐based polyesters and bioplastics

FEBS Open Bio, EarlyView.
Plastic pollution remains a critical environmental challenge, and current mechanical and chemical recycling methods are insufficient to achieve a fully circular economy. This review highlights recent breakthroughs in the enzymatic depolymerization of both oil‐derived polyesters and bioplastics, including high‐throughput protein engineering, de novo ...
Elena Rosini, Nicolò Antonelli, Gianluca Molla   +2 more
wiley   +1 more source

Altered Dynamic Functional Network Connectivity in Post‐Stroke Aphasia

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Previous studies examining post‐stroke aphasia (PSA) patients via resting‐state functional magnetic resonance imaging (rs‐fMRI) have predominantly focused on static functional connectivity. In contrast, the current investigation aims to elucidate the alterations in dynamic functional network connectivity (dFNC) among PSA patients ...
Guihua Xu, Yongsheng Wu, Junyu Qu, Rui Zhu, Wenwen Xu, Jiaxiang Xin, Dawei Wang   +6 more
wiley   +1 more source

Jordan Matrix Decomposition [PDF]

Formalized Mathematics, 2008
We follow the rules: i, j, m, n, k denote natural numbers, K denotes a field, and a, λ denote elements of K. Let us consider K, λ, n. The Jordan block of λ and n yields a matrix over K and is defined by the conditions (Def. 1). (Def. 1)(i) len (the Jordan block of λ and n) = n, (ii) width (the Jordan block of λ and n) = n, and (iii) for all i, j such ...
openaire   +2 more sources