Comparing Dynamical Models Through Diffeomorphic Vector Field Alignment. [PDF]
Neural ComputChen R, Vedovati G, Braver T, Ching S.
europepmc +1 more source
Advanced Intelligent Discovery, Volume 2, Issue 5, October 2026.This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley +1 more source
Algebraic methods and computational strategies for pseudoinverse-based MR image reconstruction (Pinv-Recon). [PDF]
Sci RepYeung K +11 more
europepmc +1 more source
Stochastic Gradient Descent in High Dimensions for Multi‐Spiked Tensor PCA
Communications on Pure and Applied Mathematics, Volume 79, Issue 10, Page 2291-2369, October 2026.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
Ill-posed analysis of time-domain deconvolution identification of ice load on the shell structures of ice-going vessels. [PDF]
Sci RepKong S, Lei J.
europepmc +1 more source
Cross‐Entropy of Power Spectral Density Function: A Modal Identification Framework
Earthquake Engineering &Structural Dynamics, Volume 55, Issue 12, Page 3012-3028, 10 October 2026.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
Optimization of asymmetric gyrostatic satellite kinematics in a resistive medium: A novel elliptic function solution. [PDF]
Sci RepElneklawy AH +4 more
europepmc +1 more source
Laterally Oscillating Trajectory for Undersampling Slices: LOTUS
Magnetic Resonance in Medicine, Volume 96, Issue 4, Page 1682-1695, October 2026.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
Go-or-grow models in biology: a monster on a leash. [PDF]
J Math BiolThiessen R +3 more
europepmc +1 more source
Analysis of Eigenvalue Clustering Leads to Optimal Scaling in Numerical Radiative Transfer
Numerical Linear Algebra with Applications, Volume 33, Issue 5, October 2026.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