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
Integrating Distance Correlation and Adaptive Weighting with RBF Kernel Transformations: A Novel Feature Selection Framework with Application to ECG Arrhythmia Detection. [PDF]
Fira M, Fira L.
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
Modeling wave scattering in impedance-lined duct networks with expansion chambers. [PDF]
Alrashdi A, Alkuhayli N, Safdar M.
europepmc +1 more source
Exploring novel semi-inner product reproducing Kernels in Banach space for robust Kernel methods. [PDF]
Ding Y, Zhao Y, Pei Y.
europepmc +1 more source
Dynamics, Noise, Delays and the Gibbs and Conditional Entropy. [PDF]
Mackey MC, Tyran-Kamińska M.
europepmc +1 more source
The Group-Algebraic Formalism of Quantum Probability and Its Applications in Quantum Statistical Mechanics. [PDF]
Gu Y, Wang J.
europepmc +1 more source
A mathematical analysis of math anxiety dynamics using a classical SAS model: Bridging epidemic theory and pedagogical implications. [PDF]
Islam S, Iqbal D, Saha M, Saha G.
europepmc +1 more source
A Mathematical Analysis of IPT-DMFT. [PDF]
Cancès E, Kirsch A, Perrin-Roussel S.
europepmc +1 more source

