A pretraining domain decomposition method using artificial neural networks to solve elliptic PDE boundary value problems

Reduced order modeling of the elliptic systems of the frequency-domain method and its error estimation

(2022) Jeong-Kweon Seo   NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS

A physics-guided neural network framework for elastic plates: Comparison of governing equations-based and energy-based approaches

(2021) Wei Li et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Conservative physics-informed neural networks on discrete domains for conservation laws: Applications to forward and inverse problems

(2020) Ameya D. Jagtap et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Learning and meta-learning of stochastic advection–diffusion–reaction systems from sparse measurements

(2020) XIAOLI CHEN et al.   EUROPEAN JOURNAL OF APPLIED MATHEMATICS

hp-VPINNs: Variational physics-informed neural networks with domain decomposition

(2020) Ehsan Kharazmi et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Simulating the architecture of a termite incipient nest using a convolutional neural network

(2018) Jeong-Kweon Seo et al.   Ecological Informatics

Automatically identifying, counting, and describing wild animals in camera-trap images with deep learning

(2018) Mohammad Sadegh Norouzzadeh et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

DGM: A deep learning algorithm for solving partial differential equations

(2018) Justin Sirignano et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Solving high-dimensional partial differential equations using deep learning

(2018) Jiequn Han et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

(2018) M. Raissi et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Predicting the sequence specificities of DNA- and RNA-binding proteins by deep learning

(2015) Babak Alipanahi et al.   NATURE BIOTECHNOLOGY

Learning solutions to partial differential equations using LS-SVM

(2015) Siamak Mehrkanoon et al.   NEUROCOMPUTING

Human-level concept learning through probabilistic program induction

(2015) B. M. Lake et al.   SCIENCE

A Constrained Backpropagation Approach for the Adaptive Solution of Partial Differential Equations

(2013) Keith Rudd et al.   IEEE Transactions on Neural Networks and Learning Systems

Nonlinear approximation using Gaussian kernels

(2010) Thomas Hangelbroek et al.   JOURNAL OF FUNCTIONAL ANALYSIS

Artificial Neural Network Method for Solution of Boundary Value Problems With Exact Satisfaction of Arbitrary Boundary Conditions

(2009) K.S. McFall et al.   IEEE TRANSACTIONS ON NEURAL NETWORKS

Multilayer perceptron neural networks with novel unsupervised training method for numerical solution of the partial differential equations

(2008) Yazdan Shirvany et al.   APPLIED SOFT COMPUTING

A new method to estimate a first-order plus time delay model from step response

(2008) Giuseppe Fedele   JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS