Adaptive Learning of Polynomial Networks

Genetic Programming, Backpropagation and Bayesian Methods

  • Nikolay Y. Nikolaev
  • Hitoshi Iba

Part of the Genetic and Evolutionary Computation book series (GEVO)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Pages 1-24
  3. Pages 111-146
  4. Pages 181-208
  5. Pages 273-290
  6. Pages 291-294
  7. Back Matter
    Pages 295-316

About this book


This book provides theoretical and practical knowledge for develop­ ment of algorithms that infer linear and nonlinear models. It offers a methodology for inductive learning of polynomial neural network mod­ els from data. The design of such tools contributes to better statistical data modelling when addressing tasks from various areas like system identification, chaotic time-series prediction, financial forecasting and data mining. The main claim is that the model identification process involves several equally important steps: finding the model structure, estimating the model weight parameters, and tuning these weights with respect to the adopted assumptions about the underlying data distrib­ ution. When the learning process is organized according to these steps, performed together one after the other or separately, one may expect to discover models that generalize well (that is, predict well). The book off'ers statisticians a shift in focus from the standard f- ear models toward highly nonlinear models that can be found by con­ temporary learning approaches. Speciafists in statistical learning will read about alternative probabilistic search algorithms that discover the model architecture, and neural network training techniques that identify accurate polynomial weights. They wfil be pleased to find out that the discovered models can be easily interpreted, and these models assume statistical diagnosis by standard statistical means. Covering the three fields of: evolutionary computation, neural net­ works and Bayesian inference, orients the book to a large audience of researchers and practitioners.


Bayesian inference algorithms artificial intelligence genetic programming intelligence learning machine learning navigation programming

Authors and affiliations

  • Nikolay Y. Nikolaev
    • 1
  • Hitoshi Iba
    • 2
  1. 1.University of LondonLondon
  2. 2.The University of TokyoTokyo

Bibliographic information

  • DOI
  • Copyright Information Springer Science+Business Media, Inc. 2006
  • Publisher Name Springer, Boston, MA
  • eBook Packages Computer Science
  • Print ISBN 978-0-387-31239-2
  • Online ISBN 978-0-387-31240-8
  • Buy this book on publisher's site