Deep autoencoder based energy method for the bending, vibration, and buckling analysis of Kirchhoff plates with transfer learning

Machine Learning Approximation Algorithms for High-Dimensional Fully Nonlinear Partial Differential Equations and Second-order Backward Stochastic Differential Equations

(2019) Christian Beck et al.   JOURNAL OF NONLINEAR SCIENCE

Quantifying total uncertainty in physics-informed neural networks for solving forward and inverse stochastic problems

(2019) Dongkun Zhang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A deep autoencoder feature learning method for process pattern recognition

(2019) Jianbo Yu et al.   JOURNAL OF PROCESS CONTROL

Adaptive activation functions accelerate convergence in deep and physics-informed neural networks

(2019) Ameya D. Jagtap et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Object Detection With Deep Learning: A Review

(2019) Zhong-Qiu Zhao et al.   IEEE Transactions on Neural Networks and Learning Systems

Physics-informed neural networks for high-speed flows

(2019) Zhiping Mao et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Identifying Medical Diagnoses and Treatable Diseases by Image-Based Deep Learning

(2018) Daniel S. Kermany et al.   CELL

Deep learning with long short-term memory networks for financial market predictions

(2018) Thomas Fischer et al.   EUROPEAN JOURNAL OF OPERATIONAL RESEARCH

A geometrically exact isogeometric Kirchhoff plate: Feature-preserving automatic meshing and C 1 rational triangular Bézier spline discretizations

(2018) Ning Liu et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Extension of Hencky bar-net model for vibration analysis of rectangular plates with rectangular cutouts

(2018) Y.P. Zhang et al.   JOURNAL OF SOUND AND VIBRATION

Opportunities and obstacles for deep learning in biology and medicine

(2018) Travers Ching et al.   Journal of the Royal Society Interface

The linear analysis of thin shell problems using the numerical manifold method

(2018) Hongwei Guo et al.   THIN-WALLED STRUCTURES

Visually-Enabled Active Deep Learning for (Geo) Text and Image Classification: A Review

(2018) Liping Yang et al.   ISPRS International Journal of Geo-Information

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

Numerical manifold method for vibration analysis of Kirchhoff's plates of arbitrary geometry

(2018) Hongwei Guo et al.   APPLIED MATHEMATICAL MODELLING

A novel deep autoencoder feature learning method for rotating machinery fault diagnosis

(2017) Haidong Shao et al.   MECHANICAL SYSTEMS AND SIGNAL PROCESSING

Deep vs. shallow networks: An approximation theory perspective

(2016) H. N. Mhaskar et al.   Analysis and Applications

Semi-analytical modeling of cutouts in rectangular plates with variable thickness – Free vibration analysis

(2016) Igor Shufrin et al.   APPLIED MATHEMATICAL MODELLING

Deep learning for finance: deep portfolios

(2016) J. B. Heaton et al.   APPLIED STOCHASTIC MODELS IN BUSINESS AND INDUSTRY

Isogeometric analysis: An overview and computer implementation aspects

(2015) Vinh Phu Nguyen et al.   MATHEMATICS AND COMPUTERS IN SIMULATION

Deep learning

(2015) Yann LeCun et al.   NATURE

Numerical manifold space of Hermitian form and application to Kirchhoff's thin plate problems

(2013) Hong Zheng et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

A moving Kriging interpolation-based meshfree method for free vibration analysis of Kirchhoff plates

(2010) Tinh Quoc Bui et al.   COMPUTERS & STRUCTURES

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

Meshless methods: A review and computer implementation aspects

(2008) Vinh Phu Nguyen et al.   MATHEMATICS AND COMPUTERS IN SIMULATION