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Analysis of Deep Ritz Methods for Laplace Equations with Dirichlet Boundary Conditions

, 2021
arXiv admin note: substantial text overlap with arXiv:2103.13330; text overlap with arXiv:2109 ...
Duan, Chenguang +5 more
openaire +2 more sources

A priori and a posteriori error estimates for the Deep Ritz method applied to the Laplace and Stokes problem

Journal of Computational and Applied Mathematics, 2023
We analyze neural network solutions to partial differential equations obtained with Physics Informed Neural Networks. In particular, we apply tools of classical finite element error analysis to obtain conclusions about the error of the Deep Ritz method applied to the Laplace and the Stokes equations.
P. Minakowski, T. Richter
openaire +2 more sources

A Hybrid Semi‐Inverse Variational and Machine Learning Approach for the Schrödinger Equation

Advanced Physics Research, EarlyView.
A hybrid semi‐inverse variational and machine‐learning framework is presented for solving the Schrödinger equation with complex quantum potentials. Physics‐based variational solutions generate high‐quality training data, enabling Random Forest and Neural Network models to deliver near‐perfect energy predictions.
Khalid Reggab +5 more
wiley +1 more source

Grandmother's pregnancy complications and autism spectrum disorders in grandchildren, a California multigenerational cohort study

JCPP Advances, EarlyView.
Abstract Background Pregnancy complications have been associated with offspring autism spectrum disorders (ASD). There has also been increasing evidence for multigenerational risk factors of ASD. Methods In a multigenerational California birth cohort of 1,740,379 mother–child pairs, we investigated pregnancy complications when the grandmother was ...
Ting Chow +5 more
wiley +1 more source

Surprise Marketing

Psychology &Marketing, EarlyView.
ABSTRACT Surprise marketing, characterized by unexpected tactics such as blind boxes and spontaneous discounts, captivates consumers by sparking curiosity and participation. Despite increasing industry use, scholarly research remains fragmented and limited.
Xin‐Jean Lim, Weng Marc Lim, Park Thaichon +2 more
wiley +1 more source

Modeling of the northern hemisphere ice sheets during the last glacial cycle and glaciological sensitivity [PDF]

, 2005
We present a new three-dimensional thermomechanically coupled ice sheet model of the northern hemisphere to reconstruct the Quaternary ice sheets during the last glacial cycle.
Huybrechts, Philippe, Zweck, C.
core +1 more source

Genome‐Wide Assessment Reveals Ancestral Differences in Homozygosity Patterns Potentially Linked to Parkinson's Disease Etiology

Movement Disorders, EarlyView.
Abstract Background Recessive genetic variation and extended runs of homozygosity (ROHs) may contribute to the unexplained heritability of Parkinson's disease (PD), particularly in diverse and understudied populations. Objective We conducted the first large‐scale, multi‐ancestral investigation of PD to examine the impact of genome‐wide homozygosity on ...
Kathryn Step +680 more
wiley +1 more source

Insight for Teacher Preparation Program Administrators: Enhancing Pre-service Educators\u27 lntercultural Sensitivity and Deep Proficiency in Culturally Responsive Teaching through Short-Term Study Abroad [PDF]

, 2018
Teacher preparation program administrators face the issue of expanding curricula to prepare teacher candidates for the diverse population of students they will encounter {Trent, Kea, Oh, 2008).
Boatman, Vikki +3 more
core +1 more source

Long‐Term Exposure to Air Pollution and Incidence of Parkinson's Disease: A Danish Nationwide Administrative Cohort Study

Movement Disorders, EarlyView.
Abstract Background Long‐term exposure to air pollution has been linked to Parkinson's disease (PD) incidence, yet evidence is mixed, partly because of challenges with PD diagnosis and definition. We examined this association in a nationwide administrative cohort.
Thomas Cole‐Hunter +14 more
wiley +1 more source

Optimal error estimates of a mixed finite element method for\ud parabolic integro-differential equations with non smooth initial data [PDF]

, 2010
In this article, a new mixed method is proposed and analyzed for parabolic integro-differential equations (PIDE) with nonsmooth initial data. Compared to mixed methods for PIDE, the present method does not bank on a reformulation using a resolvent ...
Goswami, D., Pani, A. K., Yadav, S
core

numerical analysis math.na
fos: mathematics
mathematics - numerical analysis

fos: computer and information sciences
artificial neural networks and deep learning
machine learning cs.lg

neural networks
computer science - machine learning
partial differential equations