Results 71 to 80 of about 6,942 (263)
Dynamic survival risk prediction with time‐varying high‐dimensional images
Canadian Journal of Statistics, EarlyView.Abstract Integrating longitudinal data with survival models is a prevalent strategy for dynamic survival risk prediction while accounting for subjects' longitudinally observed variables. However, existing methods primarily focus on scalar longitudinal data and seldom tackle the complexities associated with high‐dimensional longitudinal imaging data ...
Bingfan Liu +7 more
wiley +1 more source
On a class of inverse quadratic eigenvalue problem
Journal of Computational and Applied Mathematics, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yongxin Yuan, Hua Dai
openaire +1 more source
Power spectral density and the brain
Canadian Journal of Statistics, EarlyView.Abstract Time series from M/EEG (magneto/electroencephalography) and ECoG (electrocorticography) recordings are common sources of information about brain function. The power spectral density (PSD) preserves much of this information, up to second order. In the current decade, a burst of brain diagnostics using the slope of log(PSD) has appeared.
Priscilla E. Greenwood +2 more
wiley +1 more source
A Solution Matrix by IEVP under the Central Principle Submatrix Constraints
Journal of MathematicsThe n×n real matrix P is called centrosymmetric matrix if P=RPR, where R is permutation matrix with ones on cross diagonal (bottom left to top right) and zeroes elsewhere.
Vineet Bhatt +3 more
doaj +1 more source
Sensitivity Analysis of Eigenvalues for PDNT Toeplitz Matrices
AxiomsThis study focuses on a class of perturbed Dirichlet–Neumann tridiagonal (PDNT) Toeplitz matrices, mainly exploring their eigenvalue sensitivity and inverse problems. By the explicit expressions for eigenvalues and eigenvectors of PDNT Toeplitz matrices,
Zhaolin Jiang +3 more
doaj +1 more source
Stability of Viscous Three‐Dimensional Stratified Couette Flow via Dispersion and Mixing
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT This article explores the stability of stratified Couette flow in the viscous 3d$3d$ Boussinesq equations. In this system, mixing effects arise from the shearing background, and gravity acts as a restoring force leading to dispersive internal gravity waves.
Michele Coti Zelati +2 more
wiley +1 more source
Ambarzumian's theorem for trees
Electronic Journal of Differential Equations, 2007 The classical Ambarzumian's Theorem for Schrodinger operators $-D^2 + q$ on an interval, with Neumann conditions at the endpoints, says that if the spectrum of $(-D^2+q)$ is the same as the spectrum of $(-D^2)$ then $q=0$.
Vyacheslav Pivovarchik, Robert Carlson
doaj
Inverse Eigenvalue Problems for Two Special Acyclic Matrices
Mathematics, 2016 In this paper, we study two inverse eigenvalue problems (IEPs) of constructing two special acyclic matrices. The first problem involves the reconstruction of matrices whose graph is a path, from given information on one eigenvector of the required matrix
Debashish Sharma, Mausumi Sen
doaj +1 more source
The adaptive finite element method for the Steklov eigenvalue problem in inverse scattering
Open Mathematics, 2020 In this study, for the first time, we discuss the posteriori error estimates and adaptive algorithm for the non-self-adjoint Steklov eigenvalue problem in inverse scattering.
Zhang Yu, Bi Hai, Yang Yidu
doaj +1 more source
Stochastic Gradient Descent in High Dimensions for Multi‐Spiked Tensor PCA
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We study the high‐dimensional dynamics of online stochastic gradient descent (SGD) for the multi‐spiked tensor model. This multi‐index model arises from the tensor principal component analysis (PCA) problem with multiple spikes, where the goal is to estimate the unknown signal vectors within the N$N$‐dimensional unit sphere through maximum ...
Gérard Ben Arous +2 more
wiley +1 more source