Deep learning-based method coupled with small sample learning for solving partial differential equations

Automated Taxonomic Identification of Insects with Expert-Level Accuracy Using Effective Feature Transfer from Convolutional Networks

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Numerical blow-up analysis of linearly implicit Euler method for nonlinear parabolic integro-differential equations

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A meshless symplectic method for two-dimensional nonlinear Schrödinger equations based on radial basis function approximation

(2019) Zhengjie Sun   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

A deep learning solution approach for high-dimensional random differential equations

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A composite neural network that learns from multi-fidelity data: Application to function approximation and inverse PDE problems

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Hidden physics models: Machine learning of nonlinear partial differential equations

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Numerical Gaussian Processes for Time-Dependent and Nonlinear Partial Differential Equations

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Sentence Selection and Weighting for Neural Machine Translation Domain Adaptation

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DGM: A deep learning algorithm for solving partial differential equations

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

A unified deep artificial neural network approach to partial differential equations in complex geometries

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Image-text dual neural network with decision strategy for small-sample image classification

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Solving high-dimensional partial differential equations using deep learning

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

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Machine learning of linear differential equations using Gaussian processes

(2017) Maziar Raissi et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Inferring solutions of differential equations using noisy multi-fidelity data

(2017) Maziar Raissi et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Data-driven discovery of partial differential equations

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Deep Convolutional Neural Networks for Computer-Aided Detection: CNN Architectures, Dataset Characteristics and Transfer Learning

(2016) Hoo-Chang Shin et al.   IEEE TRANSACTIONS ON MEDICAL IMAGING

Deep learning

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Human-level concept learning through probabilistic program induction

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Brittleness of Bayesian inference under finite information in a continuous world

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Study on Optimal Design Based on Direct Coupling Between a FEM Simulation Model and L-BFGS-B Algorithm

(2013) M. S. Berkani et al.   IEEE TRANSACTIONS ON MAGNETICS

Fluid Mechanics of Microrheology

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A method for solving partial differential equations via radial basis functions: Application to the heat equation

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

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Numerical solution of the nonlinear Schrodinger equation by feedforward neural networks

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