ABSTRACT

Toward Deep Neural Networks: WASD Neuronet Models, Algorithms, and Applications introduces the outlook and extension toward deep neural networks, with a focus on the weights-and-structure determination (WASD) algorithm. Based on the authors’ 20 years of research experience on neuronets, the book explores the models, algorithms, and applications of the WASD neuronet, and allows reader to extend the techniques in the book to solve scientific and engineering problems. The book will be of interest to engineers, senior undergraduates, postgraduates, and researchers in the fields of neuronets, computer mathematics, computer science, artificial intelligence, numerical algorithms, optimization, simulation and modeling, deep learning, and data mining.

Features

  • Focuses on neuronet models, algorithms, and applications
  • Designs, constructs, develops, analyzes, simulates and compares various WASD neuronet models, such as single-input WASD neuronet models, two-input WASD neuronet models, three-input WASD neuronet models, and general multi-input WASD neuronet models for function data approximations
  • Includes real-world applications, such as population prediction
  • Provides complete mathematical foundations, such as Weierstrass approximation, Bernstein polynomial approximation, Taylor polynomial approximation, and multivariate function approximation, exploring the close integration of mathematics (i.e., function approximation theories) and computers (e.g., computer algorithms)
  • Utilizes the authors' 20 years of research on neuronets

part I|1 pages

Single-Input-Single-Output Neuronet

chapter Chapter 1|11 pages

Single-Input Euler-Polynomial WASD Neuronet

chapter Chapter 2|10 pages

Single-Input Bernoulli-Polynomial WASD Neuronet

chapter Chapter 3|7 pages

Single-Input Laguerre-Polynomial WASD Neuronet

part II|1 pages

Two-Input-Single-Output Neuronet

chapter Chapter 4|11 pages

Two-Input Legendre-PolynomialWASD Neuronet

part III|1 pages

Three-Input-Single-Output Neuronet

chapter Chapter 7|15 pages

Three-Input Euler-Polynomial WASD Neuronet

chapter Chapter 8|11 pages

Three-Input Power-ActivationWASD Neuronet

part IV|1 pages

General Multi-Input Neuronet

chapter Chapter 9|18 pages

Multi-Input Euler-Polynomial WASD Neuronet

chapter Chapter 10|12 pages

Multi-Input Bernoulli-Polynomial WASD Neuronet

chapter Chapter 11|12 pages

Multi-Input Hermite-Polynomial WASD Neuronet

chapter Chapter 12|16 pages

Multi-Input Sine-ActivationWASD Neuronet

part V|1 pages

Population Applications Using Chebyshev-Activation Neuronet

chapter Chapter 13|17 pages

Application to Asian Population Prediction

chapter Chapter 14|8 pages

Application to European Population Prediction

chapter Chapter 15|13 pages

Application to Oceanian Population Prediction

chapter Chapter 16|11 pages

Application to Northern American Population Prediction

chapter Chapter 18|11 pages

Application to World Population Prediction

part VI|1 pages

Population Applications Using Power-Activation Neuronet

part VII|1 pages

Other Applications

chapter Chapter 23|11 pages

Application to USPD Prediction

chapter Chapter 24|11 pages

Application to Time Series Prediction

chapter Chapter 25|8 pages

Application to GFR Estimation