A Sparse Hierarchical <i>hp</i>-Finite Element Method on Disks and Annuli. [PDF]
Papadopoulos IPA, Olver S.
europepmc +1 more source
Frequency‐dependent contraction rates for the Bayesian method to the inverse source problem
Abstract This paper addresses an inverse source problem for acoustic waves in a range of frequencies. Our study has two main goals. First, although the problem is severely ill‐posed with a logarithmic stability estimate, we demonstrate, through careful analysis of the forward map's singular values, that increasing the frequency range enhances stability,
Pu‐Zhao Kow, Jenn‐Nan Wang
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Using monoids for the integration of genomic and metabolic parameters in the prediction of phenotypes in regulatory cascades. [PDF]
Castillo-Villalba MP +2 more
europepmc +1 more source
ABSTRACT Purpose To improve the accuracy of diffusion‐weighted powder average signals for diffusion encoding with arbitrary b‐tensors. Methods We identify an intrinsic dihedral (D2) symmetry of diffusion signals for arbitrary diffusion encoding, which defines their natural signal space (a quotient of 3D rotations). Based on this, we propose a method to
Sune Nørhøj Jespersen +1 more
wiley +1 more source
Two datasets are better than one: method of double moments for 3D reconstruction in cryo-EM. [PDF]
Kileel J, Mickelin O, Singer A, Xu S.
europepmc +1 more source
Image Encoding With Blipped Gradients in an Echo Train
ABSTRACT Purpose An MRI scanner was designed and built to encode k‐space points in the spin echoes occurring between 180∘ pulses in an echo train by using blipped B0 gradient pulses applied just prior to those spin echoes. Methods The proposed MRI scanner is a modification of an original design that used TRansmit Array Spatial Encoding (TRASE), a built‐
Logi Vidarsson, Gordon E. Sarty
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Accelerated Multisecret Sharing Scheme Using Fast Matrix Spectral Factorization. [PDF]
Çalkavur S, Solé P, Ephremidze L.
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
Active Support Correction and Variable Triangular Layout Optimization for an Annular Thin Mirror in Optical Remote-Sensing Systems. [PDF]
Peng L, Chen C.
europepmc +1 more source
Portable NIRS combined with machine learning enabled rapid and accurate authentication of cattle and buffalo meat. Optimized models (XGBoost, CNN) achieved > 98% accuracy, while SHAP revealed key spectral regions. This dual approach offers a field‐ready, reagent‐free tool for fraud prevention and traceability. ABSTRACT Ensuring the authenticity of high‐
Dip Ghosh, Raad Al Deen, Md. Abul Hashem
wiley +1 more source

