© 2011

From Curve Fitting to Machine Learning

An Illustrative Guide to Scientific Data Analysis and Computational Intelligence


Part of the Intelligent Systems Reference Library book series (ISRL, volume 18)

Table of contents

  1. Front Matter
  2. Achim Zielesny
    Pages 1-51
  3. Achim Zielesny
    Pages 53-147
  4. Achim Zielesny
    Pages 149-220
  5. Achim Zielesny
    Pages 221-380
  6. Achim Zielesny
    Pages 381-408
  7. Back Matter

About this book


The analysis of experimental data is at heart of science from its beginnings.
But it was the advent of digital computers that allowed the execution of highly non-linear and increasingly complex data analysis procedures - methods that were completely unfeasible before. Non-linear curve fitting, clustering and machine learning belong to these modern techniques which are a further step towards computational intelligence.

The goal of this book is to provide an interactive and illustrative guide to these topics. It concentrates on the road from two dimensional curve fitting to multidimensional clustering and machine learning with neural networks or support vector machines. Along the way topics like mathematical optimization or evolutionary algorithms are touched. All concepts and ideas are outlined in a clear cut manner with graphically depicted plausibility arguments and a little elementary mathematics. The major topics are extensively outlined with
exploratory examples and applications. The primary goal is to be as illustrative as possible without hiding problems and pitfalls but to address them. The character of an illustrative cookbook is complemented with specific sections that address more fundamental questions like the relation between machine learning and human intelligence

All topics are completely demonstrated with the aid of the commercial computing platform Mathematica and the Computational Intelligence Packages (CIP), a high-level function library developed with Mathematica's programming language on top of Mathematica's algorithms. CIP is open-source so the detailed code of every method is freely accessible. All examples and applications shown throughout the book may be used and customized by the reader without any restrictions.


Dissipation Energy Hamilton’s Variational Principle and its Generalization Variational-Asymptotic Method

Authors and affiliations

  1. 1.Fachhochschule Gelsenkirchen Section RecklinghausenInstitute for Bioinformatics and ChemoinformaticsRecklinghausenGermany

Bibliographic information

  • Book Title From Curve Fitting to Machine Learning
  • Book Subtitle An Illustrative Guide to Scientific Data Analysis and Computational Intelligence
  • Authors Achim Zielesny
  • Series Title Intelligent Systems Reference Library
  • DOI
  • Copyright Information Springer Berlin Heidelberg 2011
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering Engineering (R0)
  • Hardcover ISBN 978-3-642-21279-6
  • Softcover ISBN 978-3-642-27112-0
  • eBook ISBN 978-3-642-21280-2
  • Series ISSN 1868-4394
  • Series E-ISSN 1868-4408
  • Edition Number 1
  • Number of Pages XV, 465
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Computational Intelligence
    Artificial Intelligence
    Mathematical and Computational Engineering
  • Buy this book on publisher's site
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From the reviews:

“‘From curve fitting to machine learning’ is … a useful book. … It contains the basic formulas of curve fitting and related subjects and throws in, what is missing in so many books, the code to reproduce the results. … All in all this is an interesting and useful book both for novice as well as expert readers. For the novice it is a good introductory book and the expert will appreciate the many examples and working code.” (Leslie P. Piegl, Zentralblatt MATH, Vol. 1236, 2012)