Results 191 to 200 of about 4,485 (249)

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

Transactions 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

Genome–phenome association prediction using weighted deep matrix factorization with a multisource graph attention network

Quantitative Biology, Volume 14, Issue 3, September 2026.
Abstract Genome–phenome association (GPA) prediction can broaden the understanding of biological mechanisms underlying complex phenotypic traits (e.g., diseases and agronomic traits). Traditional deep matrix factorization (DMF)‐based GPA methods can integrate multiple data types and uncover nonlinear associations but often rely on low‐dimensional ...
Ran Duan, Wei Cao, Maozu Guo, Le Tian, Lingling Zhao   +4 more
wiley   +1 more source

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley   +1 more source

Advancing Quantitative Susceptibility Mapping With 2.5D Diffusion Models for Rapid Intracranial Hemorrhage Quantification

Magnetic Resonance in Medicine, Volume 96, Issue 2, Page 596-610, August 2026.
ABSTRACT Purpose To develop a generative diffusion model‐based approach for robust and efficient quantitative susceptibility mapping (QSM) reconstruction in intracranial hemorrhage (ICH), applicable to both standard gradient echo (GRE) and rapid echo planar imaging (EPI) acquisitions.
Zhuang Xiong, Yang Gao, Feng Liu, Derek Emery, Ken Butcher, Alan H. Wilman, Hongfu Sun   +6 more
wiley   +1 more source

Improved Radiofrequency Safety Modelling in MRI Using In Vivo Measurements of Brain Conductivity

NMR in Biomedicine, Volume 39, Issue 8, August 2026.
A workflow for the comparison of simulated and measured B1+$$ {B}_1^{+} $$ maps was developed and applied to a study on human tissue (brain) electrical conductivity, investigating differences between conductivity values from ex vivo and in vivo measurements.
Guillaume Paillart, Zhongzheng He, Grecia Romero, Pauline Ferry, Khalid Ambarki, Paul Soullié, Jacques Felblinger, Freddy Odille   +7 more
wiley   +1 more source

Local Polynomial Regression and Filtering for a Versatile Mesh‐Free PDE Solver

International Journal for Numerical Methods in Fluids, Volume 98, Issue 7, Page 804-839, July 2026.
A high‐order, mesh‐free finite difference method for solving differential equations is presented. Both derivative approximation and scheme stabilisation is carried out by parametric or non‐parametric local polynomial regression, making the resulting numerical method accurate, simple and versatile. Numerous numerical benchmark tests are investigated for
Alberto M. Gambaruto
wiley   +1 more source

ALERA‐V Version 1.0: An Objective Analysis Dataset of the Venus Atmosphere

Geoscience Data Journal, Volume 13, Issue 3, July 2026.
Using observations from the Venus orbiter Akatsuki, we present the first objective analysis dataset of the Venus atmosphere. ALERA‐V, generated with the ALEDAS‐V system using the LETKF, is expected to support studies of atmospheric dynamics and the planning of future satellite missions.
Yukiko Fujisawa, Shin‐ya Murakami, Norihiko Sugimoto, Nobumasa Komori, Masahiro Takagi, Takeshi Imamura, Takeshi Horinouchi, George L. Hashimoto, Masaki Ishiwatari, Takeshi Enomoto, Takemasa Miyoshi, Hiroki Kashimura, Toshiki Matsushima, Yoshi‐Yuki Hayashi   +13 more
wiley   +1 more source

Stability of a Fully Discrete Local Discontinuous Galerkin Method for the Generalized Benjamin–Ono Equation

Numerical Methods for Partial Differential Equations, Volume 42, Issue 4, July 2026.
ABSTRACT The main purpose of this paper is to design a fully discrete local discontinuous Galerkin (LDG) scheme for the generalized Benjamin–Ono equation. First, we prove the L2$$ {L}^2 $$‐stability for the proposed semi‐discrete LDG scheme and obtained a suboptimal order of convergence for power nonlinear flux.
Mukul Dwivedi, Tanmay Sarkar
wiley   +1 more source

Geometric Planted Matchings Beyond the Gaussian Model

Random Structures &Algorithms, Volume 68, Issue 4, July 2026.
ABSTRACT We consider the problem of recovering an unknown matching between a set of n$$ n $$ randomly placed points in ℝd$$ {\mathbb{R}}^d $$ and random perturbations of these points. This can be seen as a model for particle tracking and more generally, entity resolution.
Lucas R. Schwengber, Roberto I. Oliveira
wiley   +1 more source

HPV‐Adjusted Feature Screening With FDR Control in Head and Neck Cancer

Biometrical Journal, Volume 68, Issue 3, June 2026.
ABSTRACT Human papillomavirus (HPV) is a well‐established prognostic factor in head and neck (HN) cancer, with HPV‐positive patients exhibiting markedly better survival outcomes compared to their HPV‐negative counterparts. While advances in (cancer) genomics have been pivotal to precision medicine, existing gene screening methods for identifying ...
Atika Farzana Urmi, Chenlu Ke, Dipankar Bandyopadhyay   +2 more
wiley   +1 more source