Semi empirical Neural Network Modeling and Digital Twins Development 1st Edition by Dmitriy Tarkhov, T V Lazovskaya, Alexander Nikolayevich Vasilyev ISBN 0128156511 978-0128156513

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Product details:

ISBN 10:  0128156511 

ISBN 13: 978-0128156513

Author: Dmitriy Tarkhov, T. V. Lazovskaya, Alexander Nikolayevich Vasilyev

 Semi-empirical Neural Network Modeling presents a new approach on how to quickly construct an accurate, multilayered neural network solution of differential equations. Current neural network methods have significant disadvantages, including a lengthy learning process and single-layered neural networks built on the finite element method (FEM). The strength of the new method presented in this book is the automatic inclusion of task parameters in the final solution formula, which eliminates the need for repeated problem-solving. This is especially important for constructing individual models with unique features. The book illustrates key concepts through a large number of specific problems, both hypothetical models and practical interest.

Table of contents: 

Chapter 1 Examples of problem statements and functionals
Chapter 2 The choice of the functional basis (set of bases)
Chapter 3 Methods for the selection of parameters and structure of the neural network model
Chapter 4 Results of computational experiments
Chapter 5 Methods for constructing multilayer semi-empirical models

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Tags: Dmitriy Tarkhov, T V Lazovskaya, Alexander Nikolayevich Vasilyev, Semi empirical, Neural Network Modeling, Digital Twins Development