Applied Artificial Neural Network Methods for Engineers and Scientists: Solving Algebraic Equations
暫譯: 工程師與科學家的應用人工神經網絡方法:解決代數方程式
Chakraverty, Snehashish, Jeswal, Sumit Kumar
- 出版商: World Scientific Pub
- 出版日期: 2021-02-16
- 售價: $2,480
- 貴賓價: 9.5 折 $2,356
- 語言: 英文
- 頁數: 192
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 981123020X
- ISBN-13: 9789811230202
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相關分類:
人工智慧
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商品描述
The aim of this book is to handle different application problems of science and engineering using expert Artificial Neural Network (ANN). As such, the book starts with basics of ANN along with different mathematical preliminaries with respect to algebraic equations. Then it addresses ANN based methods for solving different algebraic equations viz. polynomial equations, diophantine equations, transcendental equations, system of linear and nonlinear equations, eigenvalue problems etc. which are the basic equations to handle the application problems mentioned in the content of the book. Although there exist various methods to handle these problems, but sometimes those may be problem dependent and may fail to give a converge solution with particular discretization. Accordingly, ANN based methods have been addressed here to solve these problems. Detail ANN architecture with step by step procedure and algorithm have been included. Different example problems are solved with respect to various application and mathematical problems. Convergence plots and/or convergence tables of the solutions are depicted to show the efficacy of these methods. It is worth mentioning that various application problems viz. Bakery problem, Power electronics applications, Pole placement, Electrical Network Analysis, Structural engineering problem etc. have been solved using the ANN based methods.
商品描述(中文翻譯)
本書的目的是利用專家型人工神經網路(Artificial Neural Network, ANN)處理科學和工程中的不同應用問題。因此,本書首先介紹ANN的基本概念,以及與代數方程相關的不同數學基礎知識。接著,書中探討了基於ANN的方法來解決不同的代數方程,例如多項式方程、丟番圖方程、超越方程、線性和非線性方程組、特徵值問題等,這些都是處理書中提到的應用問題的基本方程。雖然存在多種方法來處理這些問題,但有時這些方法可能依賴於特定問題,並且可能無法在特定的離散化下給出收斂解。因此,這裡提出了基於ANN的方法來解決這些問題。書中包含了詳細的ANN架構、逐步程序和算法。針對各種應用和數學問題,解決了不同的示例問題。解決方案的收斂圖和/或收斂表被描繪出來,以顯示這些方法的有效性。值得一提的是,使用基於ANN的方法解決了各種應用問題,例如烘焙問題、電力電子應用、極點配置、電網分析、結構工程問題等。