Using neural networks for approximating functions and equations

In this report, we develop the approximation rates of ReLU neural networks for solutions to the elliptic two-scale problems, the stochastic parabolic initial boundary value problems, and the parametric elliptic problems. We obtain bounds on network complexities - in terms of the depth size and the n...

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Bibliographic Details
Main Author: Li, Yongming
Other Authors: Hoang Viet Ha
Format: Final Year Project
Language:English
Published: Nanyang Technological University 2019
Subjects:
Online Access:https://hdl.handle.net/10356/136490
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Institution: Nanyang Technological University
Language: English