Adaptive Learning Rate Residual Network Based on Physics-Informed for Solving Partial Differential Equations (Q6173072)

scientific article; zbMATH DE number 7714953

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English	Adaptive Learning Rate Residual Network Based on Physics-Informed for Solving Partial Differential Equations	scientific article; zbMATH DE number 7714953

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instance of

scholarly article

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title

Adaptive Learning Rate Residual Network Based on Physics-Informed for Solving Partial Differential Equations (English)

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DOI

10.1142/s0219876222500499

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International Journal of Computational Methods

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publication date

21 July 2023

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Mathematics Subject Classification ID

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partial differential equations

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adaptive learning rate

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deep residual neural network

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physics-informed neural networks

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MaRDI profile type

MaRDI publication profile

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

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A Multi-Scale DNN Algorithm for Nonlinear Elliptic Equations with Multiple Scales

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MIM: a deep mixed residual method for solving high-order partial differential equations

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Physics-informed neural networks for high-speed flows

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Self-adaptive physics-informed neural networks

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Estimates on the generalization error of physics-informed neural networks for approximating a class of inverse problems for PDEs

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Deep Weak Approximation of SDEs: A Spatial Approximation Scheme for Solving Kolmogorov Equations

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Q3521017

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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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DGM: a deep learning algorithm for solving partial differential equations

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CAD Model Segmentation Via Deep Learning

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Understanding and Mitigating Gradient Flow Pathologies in Physics-Informed Neural Networks

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When and why PINNs fail to train: a neural tangent kernel perspective

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The Deep Ritz Method: a deep learning-based numerical algorithm for solving variational problems

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B-PINNs: Bayesian physics-informed neural networks for forward and inverse PDE problems with noisy data

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Weak adversarial networks for high-dimensional partial differential equations

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mardi Publication:6173072