Results 241 to 250 of about 1,874,872 (323)

Frequency‐dependent contraction rates for the Bayesian method to the inverse source problem

open access: yesTransactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
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
wiley   +1 more source

Beyond Directions: Symmetry‐Aware Rotation Sets for Triaxial Diffusion Encoding by Geometric Filter Optimization

open access: yesMagnetic Resonance in Medicine, Volume 96, Issue 5, Page 2489-2504, November 2026.
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

Image Encoding With Blipped Gradients in an Echo Train

open access: yesMagnetic Resonance in Medicine, Volume 96, Issue 5, Page 2530-2538, November 2026.
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
wiley   +1 more source

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

NIRS Coupled With Machine Learning Algorithms for the Authentication and Quality Assessment of Indigenous Cattle and Buffalo Meat

open access: yeseFood, Volume 7, Issue 5, October 2026.
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

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