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Artificial Adaptive Systems Using Auto Contractive Maps

Theory, Applications and Extensions

  • Describes a newer approach to artificial adaptive systems, the auto contractive map
  • Offers a comprehensive guide on the use of auto contractive map and its supervised version to extract extensive information from data, lending further meaning to the popular notion of “deep learning”
  • Describes how to couple auto contractive maps and graph theoretic methods to organize and understand data in a powerful new way
  • Includes numerous examples on real and fictitious data

Part of the book series: Studies in Systems, Decision and Control (SSDC, volume 131)

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-vii
  2. An Introduction

    • Paolo Massimo Buscema, Giulia Massini, Marco Breda, Weldon A. Lodwick, Francis Newman, Masoud Asadi-Zeydabadi
    Pages 1-9
  3. Artificial Neural Networks

    • Paolo Massimo Buscema, Giulia Massini, Marco Breda, Weldon A. Lodwick, Francis Newman, Masoud Asadi-Zeydabadi
    Pages 11-35
  4. Auto-contractive Maps

    • Paolo Massimo Buscema, Giulia Massini, Marco Breda, Weldon A. Lodwick, Francis Newman, Masoud Asadi-Zeydabadi
    Pages 37-60
  5. Visualization of Auto-CM Output

    • Paolo Massimo Buscema, Giulia Massini, Marco Breda, Weldon A. Lodwick, Francis Newman, Masoud Asadi-Zeydabadi
    Pages 61-76
  6. Dataset Transformations and Auto-CM

    • Paolo Massimo Buscema, Giulia Massini, Marco Breda, Weldon A. Lodwick, Francis Newman, Masoud Asadi-Zeydabadi
    Pages 77-104
  7. Advances, the K-Contractive Map: A Supervised Version of Auto-CM

    • Paolo Massimo Buscema, Giulia Massini, Marco Breda, Weldon A. Lodwick, Francis Newman, Masoud Asadi-Zeydabadi
    Pages 105-119
  8. Comparison of Auto-CM to Various Other Data Understanding Approaches

    • Paolo Massimo Buscema, Giulia Massini, Marco Breda, Weldon A. Lodwick, Francis Newman, Masoud Asadi-Zeydabadi
    Pages 121-146
  9. Auto-CM as a Dynamic Associative Memory

    • Paolo Massimo Buscema, Giulia Massini, Marco Breda, Weldon A. Lodwick, Francis Newman, Masoud Asadi-Zeydabadi
    Pages 147-179

About this book

This book offers an introduction to artificial adaptive systems and a general model of the relationships between the data and algorithms used to analyze them. It subsequently describes artificial neural networks as a subclass of artificial adaptive systems, and reports on the backpropagation algorithm, while also identifying an important connection between supervised and unsupervised artificial neural networks. 

The book’s primary focus is on the auto contractive map, an unsupervised artificial neural network employing a fixed point method versus traditional energy minimization. This is a powerful tool for understanding, associating and transforming data, as demonstrated in the numerous examples presented here. A supervised version of the auto contracting map is also introduced as an outstanding method for recognizing digits and defects. In closing, the book walks the readers through the theory and examples of how the auto contracting map can be used in conjunction with another artificial neural network, the “spin-net,” as a dynamic form of auto-associative memory.



Authors and Affiliations

  • Semeion Research Center of Sciences of Communication, Rome, Italy

    Paolo Massimo Buscema, Giulia Massini, Marco Breda

  • Department of Mathematical and Statistical Sciences, University of Colorado Denver, Denver, USA

    Weldon A. Lodwick

  • Department of Radiation Oncology, School of Medicine, University of Colorado Denver, Denver, USA

    Francis Newman

  • Physics Department, University of Colorado Denver, Denver, USA

    Masoud Asadi-Zeydabadi

Bibliographic Information

  • Book Title: Artificial Adaptive Systems Using Auto Contractive Maps

  • Book Subtitle: Theory, Applications and Extensions

  • Authors: Paolo Massimo Buscema, Giulia Massini, Marco Breda, Weldon A. Lodwick, Francis Newman, Masoud Asadi-Zeydabadi

  • Series Title: Studies in Systems, Decision and Control

  • DOI: https://doi.org/10.1007/978-3-319-75049-1

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer International Publishing AG 2018

  • Hardcover ISBN: 978-3-319-75048-4Published: 06 March 2018

  • Softcover ISBN: 978-3-030-09135-4Published: 25 December 2018

  • eBook ISBN: 978-3-319-75049-1Published: 24 February 2018

  • Series ISSN: 2198-4182

  • Series E-ISSN: 2198-4190

  • Edition Number: 1

  • Number of Pages: VII, 179

  • Number of Illustrations: 23 b/w illustrations, 74 illustrations in colour

  • Topics: Computational Intelligence, Data Mining and Knowledge Discovery, Artificial Intelligence, Mathematical Logic and Foundations

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access