Titlebook: Deep Learning and Computational Physics; Deep Ray,Orazio Pinti,Assad A. Oberai Textbook 2024 The Editor(s) (if applicable) and The Author(

NEXUS

Residual Neural Networks,Residual networks (or ResNets) were introduced by He et al. [40] in 2015. In this chapter, we will discuss what these networks are, why they were introduced and their relation to ODEs.

OWL

https://doi.org/10.1007/978-3-031-59345-1Big Data; Deep Learning; Machine Learning; Computational Physics; Deep Learning Algorithms

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潔凈

,Introduction to?Deep Neural Networks,ponents, its ability to approximate functions with different regularity (.), and the various training paradigms to learn the various parameters (and hyperparameters) without overfitting the training dataset.

率直

crutch

Operator Networks,NN is a network of the form . taking as input the independent variable . of the underlying PDE and giving the approximate solution . (of the PDE) as output. The network is trained by minimizing the weighted sum of the PDE and boundary residual.

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Nostalgia