Results 61 to 70 of about 17,562 (171)
Robust Inverse Material Design With Physical Guarantees Using the Voigt‐Reuss Net
ABSTRACT We apply the Voigt‐Reuss net, a spectrally normalized neural surrogate introduced in [38], for forward and inverse mechanical homogenization with a key guarantee that all predicted effective stiffness tensors satisfy Voigt‐Reuss bounds in the Löwner sense during training, inference, and gradient‐driven optimization.
Sanath Keshav, Felix Fritzen
wiley +1 more source
Contrasting Global and Patient‐Specific Regression Models via a Neural Network Representation
ABSTRACT When developing clinical prediction models, it can be challenging to balance between global models that are valid for all patients and personalized models tailored to individuals or potentially unknown subgroups. To aid such decisions, we propose a diagnostic tool for contrasting global regression models and patient‐specific (local) regression
Max Behrens +7 more
wiley +1 more source
GloMarGridding: A Python Toolkit for Flexible Spatial Interpolation in Climate Applications
Global surface climate datasets contain structural uncertainty that is difficult to attribute to individual processing steps. We present GloMarGridding, a Python package that isolates the spatial interpolation component using Gaussian Process Regression (or kriging) to generate spatially complete fields and uncertainty estimates. The techniques used in
Richard C. Cornes +6 more
wiley +1 more source
Loss Behavior in Supervised Learning With Entangled States
Entanglement in training samples supports quantum supervised learning algorithm in obtaining solutions of low generalization error. Using analytical as well as numerical methods, this work shows that the positive effect of entanglement on model after training has negative consequences for the trainability of the model itself, while showing the ...
Alexander Mandl +4 more
wiley +1 more source
$t$-Frobenius Negacyclic Codes
Let $\mathbb{F}_p$ denote the finite field of order $p$, where $p$ is an odd prime. We study certain quantum negacyclic codes over $\mathbb{F}_p$ which we call $t$-Frobenius negacyclic codes. We obtain a criterion for constructing such codes from certain
Bag, Priyabrata, Dey, Santanu
core
Rethinking Collinearity in Self‐Organizing Maps: Evidence From Geophysical Data Classification
Abstract This study examines the impact of collinearity on unsupervised machine learning algorithms (UMLAs), specifically Self‐Organizing Maps (SOMs), for detecting lithological boundaries in geophysical data. Using a multi‐scale experimental framework that includes bivariate isotropic clusters, geologically complex Noddy simulations, and real‐world ...
Limin Xu +2 more
wiley +1 more source
A Bayesian perspective on orientation estimation in cryo‐EM is presented, with the minimum mean‐square error estimator outperforming standard cross‐correlation‐based approaches, particularly under challenging low signal‐to‐noise conditions. We demonstrate that improved orientation estimation has a decisive impact on 3D reconstruction quality and ...
Sheng Xu +3 more
wiley +1 more source
A P‐adic class formula for Anderson t‐modules
Abstract In 2012, Taelman proved a class formula for L$L$‐series associated to Drinfeld Fq[θ]$\mathbb {F}_q[\theta]$‐modules and considered it as a function field analogue of the Birch and Swinnerton‐Dyer conjecture. Since then, Taelman's class formula has been generalized to the setting of Anderson t$t$‐modules.
Alexis Lucas
wiley +1 more source
Abstract In this paper, we study traces of Hecke operators on Drinfeld modular forms of level 1 in the case A=Fq[T]$A = \mathbb {F}_q[T]$. We deduce closed‐form expressions for traces of Hecke operators corresponding to primes of degree at most 2 and provide algorithms for primes of higher degree.
Sjoerd de Vries
wiley +1 more source
Ordinary primes for GL2$\operatorname{GL}_2$‐type abelian varieties and weight 2 modular forms
Abstract Let A$A$ be a g$g$‐dimensional abelian variety defined over a number field F$F$. It is conjectured that the set of ordinary primes of A$A$ over F$F$ has positive density, and this is known to be true when g=1,2$g=1, 2$, or for certain abelian varieties with extra endomorphisms.
Tian Wang, Pengcheng Zhang
wiley +1 more source

