Results 31 to 40 of about 16,710 (257)
NeuroImage, 2021 Common representations of functional networks of resting state fMRI time series, including covariance, precision, and cross-correlation matrices, belong to the family of symmetric positive definite (SPD) matrices forming a special mathematical structure ...
Kisung You, Hae-Jeong Park
doaj +1 more source
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective To clarify the clinical relevance of dopamine transporter single‐photon emission computed tomography (DAT‐SPECT) abnormalities in amyotrophic lateral sclerosis (ALS), with a prespecified focus on sex‐stratified associations with disease progression and short‐term prognosis.
Tomoya Kawazoe +7 more
wiley +1 more source
Properties of positive definite matrices and applications [PDF]
, 1985 The purpose of this paper is to investigate the properties of positive definite matrices, and in some cases positive semidefinite matrices, and their applications. Chapter 1 introduces some general properties of positive definite matrices.
Nasari, Godson Y.
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Factorizations and geometric means of positive definite matrices [PDF]
, 2012 In this paper we provide a new class of (metric) geometric means of positive definite matrices varying over Hermitian unitary matrices. We show that each Hermitian unitary matrix induces a factorization of the cone Pm of m×m positive definite Hermitian ...
Lim, Yongdo
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有关矩阵广义逆的惯性指数及其应用(Inertia formulae related to the generalized inverse with applications)
Zhejiang Daxue xuebao. Lixue ban, 2019 In this paper, firstly, we establish the inertia formulae for some matrix expressions related to the generalized inverse . Then, as applications, based on the derived inertia formulae, we study the definiteness of some matrices.
WUZhongcheng(吴中成) +1 more
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Mathematics, 2022 A non-iterative method for the difference of means is presented to calculate the log-Euclidean distance between a symmetric positive-definite matrix and the mean matrix on the Lie group of symmetric positive-definite matrices.
Xiaomin Duan +3 more
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From Adult to Adolescent: Alignment in Clinical Trials and Outcomes in Axial Spondyloarthritis
Arthritis Care &Research, Accepted Article.Spondyloarthritis (SpA) is a group of chronic inflammatory diseases encompassing axial and peripheral forms, with up to 20% of patients developing symptoms before age 16. Despite this substantial pediatric burden, treatment options for juvenile‐onset SpA (JSpA), particularly those with axial disease (axJSpA), remain limited.
Pamela F. Weiss +9 more
wiley +1 more source
A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems
International Journal of Adaptive Control and Signal Processing, Volume 39, Issue 3, Page 566-581, March 2025.A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam +2 more
wiley +1 more source
A New Method for Generating the Design Matrix of a Linear Regression Model [PDF]
The Egyptian Statistical Journal, 1995 This paper introduces a new algorithm for generating the design matrix X, of a linear regression model, with prespecified simple correlation coefficients between each pair of its columns.
Adel Hallawa, Abdul-Mordy Azzam
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IEEE Access, 2022 Symmetric Positive Definite (SPD) data are increasingly prevalent in dictionary learning recently. SPD data are the typical non-Euclidean data and cannot constitute a Euclidean space.
Hui He +3 more
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