Optimal Runge approximation for nonlocal wave equations and unique determination of polyhomogeneous nonlinearities. [PDF]
Lin YH, Tyni T, Zimmermann P.
europepmc +1 more source
PyOrbb—Automated Analyses of Orbital‐Interaction Mechanisms
PyOrbb is an open‐source program that automates fragment‐based orbital interaction analysis from ADF calculations. It identifies the chemically most significant attractive and repulsive interactions and presents them as publication‐ready MO diagrams.
Yuman Hordijk +8 more
wiley +1 more source
Smoothness and stability in the Alt-Phillips problem. [PDF]
Carducci M, Tortone G.
europepmc +1 more source
Stochastic Gradient Descent in High Dimensions for Multi‐Spiked Tensor PCA
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
Understanding Peelle's Pertinent Puzzle bias in generalized least squares regression through eigenspectrum analysis. [PDF]
Walton NAW +5 more
europepmc +1 more source
Cross‐Entropy of Power Spectral Density Function: A Modal Identification Framework
ABSTRACT The power spectral density (PSD) function of measured structural response contains a significant amount of information, including the modal parameters (natural frequencies, damping ratios). Output‐only system identification or modal identification technique can be used for extracting such modal parameters from the measured response or its ...
Su‐Hong Kim +3 more
wiley +1 more source
Generalization of Bandlimited Functions and Applications to Quantum Probability Distributions. [PDF]
Cohen L.
europepmc +1 more source
Laterally Oscillating Trajectory for Undersampling Slices: LOTUS
ABSTRACT Purpose While spiral sampling offers SNR advantages for diffusion MRI, its acceleration with simultaneous multislice remains relatively unexplored. This study introduces Laterally Oscillating Trajectory for Undersampling Slices (LOTUS), which is a 3D spiral‐like k‐space trajectory that aims to minimize g‐factor via controlled incoherent ...
Mayuri Sothynathan +2 more
wiley +1 more source
Microstructure-Driven Loss Mechanisms and Tensor-Based FEM Calibration. [PDF]
Muoio A, Garofalo A, La Via F.
europepmc +1 more source
Analysis of Eigenvalue Clustering Leads to Optimal Scaling in Numerical Radiative Transfer
ABSTRACT We consider a multidimensional polychromatic radiative transfer (RT) problem, accounting for scattering processes in a general form, that is, anisotropic (dipole) scattering with partial frequency redistribution. Given a discrete ordinates (SN$$ {S}_N $$) discretization, we report the corresponding matrix structures, depending on the model and
Pietro Benedusi +3 more
wiley +1 more source

