Results 51 to 60 of about 2,237,659 (305)

Pauli decomposition via the fast Walsh-Hadamard transform

New Journal of Physics
The decomposition of a square matrix into a sum of Pauli strings is a classical pre-processing step required to realize many quantum algorithms. Such a decomposition requires significant computational resources for large matrices. We present an exact and
Timothy N Georges, Bjorn K Berntson, Christoph Sünderhauf, Aleksei V Ivanov   +3 more
doaj   +1 more source

Bounds for Eigenvalues of Arrowhead Matrices and Their Applications to Hub Matrices and Wireless Communications

EURASIP Journal on Advances in Signal Processing, 2009
This paper considers the lower and upper bounds of eigenvalues of arrow-head matrices. We propose a parameterized decomposition of an arrowhead matrix which is a sum of a diagonal matrix and a special kind of arrowhead matrix whose eigenvalues can be ...
Bruce W. Suter, Lixin Shen
doaj   +1 more source

Natural Frequencies of Levodopa‐Induced Dyskinesia in Parkinson's Disease

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objectives Abnormal involuntary movements, known as dyskinesias, are common complications of levodopa treatment in patients with Parkinson's disease and can significantly impair quality of life. The underlying pathophysiology remains unclear, and current therapeutic options are limited.
Ioannis U. Isaias, Federica Avantaggiato, Gianni Pezzoli, Andrea Canessa   +3 more
wiley   +1 more source

Theorems on Positive Data: On the Uniqueness of NMF [PDF]

, 2008
We investigate the conditions for which nonnegative matrix factorization (NMF) is unique and introduce several theorems which can determine whether the decomposition is in fact unique or not.
Pumbley, Mark, Plumbley, MD, Christensen, Mads Græsbøll; id_orcid, Hansen, LK, Lauerberg, Hans, Christensen, MG, Plumbley, Mark D., Jensen, Søren Holdt, Jensen, SH, Laurberg, Hans, Christensen, Mads Græsbøll, Hansen, Lars Kai, Laurberg, H   +12 more
core   +1 more source

Recommendation Algorithm Based on Coclus Joint Clustering and Non-negative Matrix Factorization [PDF]

Jisuanji gongcheng, 2019
Most of the current recommendation systems have many defects,such as low recommendation accuracy,being subject to sparsity and poor stability,so we propose a recommendation algorithm based on Coclus joint clustering and non-negative matrix decomposition ...
WANG Zehua, KE Xinsheng
doaj   +1 more source

Mueller Matrix Decomposition and Image for Non-Destructive Testing of UAVs Skin

Applied Sciences, 2023
Recently, Mueller matrix polarimetry (MMP) has been widely applied in many aspects, such as radar target decomposition, monitoring the glucose level, tissue diagnostics, biological samples, etc., but it is still challenging for the complex light–matter ...
Hongzhe Li, Lin Li, Xiaolei Yu, Delong Meng, Ciyong Gu, Zhenlu Liu, Zhimin Zhao   +6 more
doaj   +1 more source

Diffusion Basis Spectrum Imaging of Tissue Microstructure and Early Treatment in Multiple Sclerosis

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Conventional MRI cannot resolve the coexisting pathological processes within multiple sclerosis tissue. Diffusion Basis Spectrum Imaging decomposes the diffusion signal into fiber, cell, and hindered ratios indexing axonal integrity, cellularity, and extracellular space, respectively.
Apisit Kaewsanit, Aime Luna, Bradley Judge, Nicole Shelley, Karl Friedrichsen, Jayashree Rajamanickam, Zhude Tu, Yong Wang, Tammie L. S. Benzinger, Qing Wang, Matthew R. Brier   +10 more
wiley   +1 more source

Split-and-Combine Singular Value Decomposition for Large-Scale Matrix

Journal of Applied Mathematics, 2013
The singular value decomposition (SVD) is a fundamental matrix decomposition in linear algebra. It is widely applied in many modern techniques, for example, high- dimensional data visualization, dimension reduction, data mining, latent semantic analysis,
Jengnan Tzeng
doaj   +1 more source

Real‐World Longitudinal Data on the Impact of Hydroxychloroquine Blood Level Monitoring on Lupus Outcomes: Results of a Prospective Longitudinal Cohort Study

Arthritis Care &Research, EarlyView.
Objective Hydroxychloroquine (HCQ) is a cornerstone therapy in systemic lupus erythematosus (SLE), but the weight‐based dosing does not account for clinical factors that can introduce individual variability in drug metabolism and clearance. We leveraged longitudinal data from a prospective SLE cohort to identify clinical factors that predict ...
Jay J. Patel, Fauzia Hollangel, Caroline Packee, Amita Kapoor, Brad Rovin, Nathalie Costedoat‐Chalumeau, Shivani Garg   +6 more
wiley   +1 more source

Arbitrary decomposition of a Mueller matrix [PDF]

Optics Letters, 2019
Mueller polarimetry involves a variety of instruments and technologies whose importance and scope of applications are rapidly increasing. The exploitation of these powerful resources depends strongly on the mathematical models that underlie the analysis and interpretation of the measured Mueller matrices and, very particularly, on the theorems for ...
José J. Gil, Ignacio San José
openaire   +5 more sources