Results 201 to 210 of about 115,613,181 (224)

Stochastic Gradient Descent in High Dimensions for Multi‐Spiked Tensor PCA

open access: yesCommunications 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

Analysis of Eigenvalue Clustering Leads to Optimal Scaling in Numerical Radiative Transfer

open access: yesNumerical 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

A Mathematical Analysis of IPT-DMFT. [PDF]

open access: yesCommun Math Phys
Cancès E, Kirsch A, Perrin-Roussel S.
europepmc   +1 more source

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