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Mathematics of Neural Networks

Models, Algorithms and Applications

  • Book
  • © 1997

Overview

Editors:
  1. Stephen W. Ellacott

    1. School of Computing and Mathematical Sciences, University of Brighton, Brighton, UK

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  2. John C. Mason

    1. School of Computing and Mathematics, University of Huddersfield, Queensgate, Huddersfield, UK

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  3. Iain J. Anderson

    1. School of Computing and Mathematics, University of Huddersfield, Queensgate, Huddersfield, UK

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Part of the book series: Operations Research/Computer Science Interfaces Series (ORCS, volume 8)

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Table of contents (70 chapters)

  1. Front Matter

    Pages i-xxii
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  2. Invited Papers

    1. Front Matter

      Pages 1-1
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    2. N-Tuple Neural Networks

      • N. M. Allinson, A. R. Kolcz
      Pages 3-14

    3. Information Geometry of Neural Networks — An Overview —

      • Shun-ichi Amari
      Pages 15-23

    4. Q-Learning: A Tutorial and Extensions

      • George Cybenko, Robert Gray, Katsuhiro Moizumi
      Pages 24-33

    5. Are There Universal Principles of Brain Computation?

      • Stephen Grossberg
      Pages 34-40

    6. On-Line Training of Memory-Driven Attractor Networks

      • Morris W. Hirsch
      Pages 41-46

    7. Mathematical Problems Arising from Constructing an Artificial Brain

      • J. G. Taylor
      Pages 47-57

  3. Submitted Papers

    1. Front Matter

      Pages 59-59
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    2. The Successful Use of Probability Data in Connectionist Models

      • J. R. Alexander Jr., J. P. Coughlin
      Pages 61-66

    3. Weighted Mixture of Models For On-Line Learning

      • P. Edgar An
      Pages 67-72

    4. Local Modifications to Radial Basis Networks

      • I. J. Anderson
      Pages 73-77

    5. A Statistical Analysis of the Modified NLMS Rules

      • E. D. Aved’yan, M. Brown, C. J. Harris
      Pages 78-83

    6. Finite Size Effects in On-Line Learning of Multi-Layer Neural Networks

      • David Barber, Peter Sollich, David Saad
      Pages 84-88

    7. Constant Fan-in Digital Neural Networks are VLSI-Optimal

      • V. Beiu
      Pages 89-94

    8. The Application of Binary Encoded 2nd Differential Spectrometry in Preprocessing of UV-Vis Absorption Spectral Data

      • N. Benjathapanun, W. J. O. Boyle, K. T. V. Grattan
      Pages 95-100

    9. A Non-Equidistant Elastic Net Algorithm

      • Jan van den Berg, Jock H. Geselschap
      Pages 101-106

    10. Unimodal Loading Problems

      • Monica Bianchini, Stefano Fanelli, Marco Gori, Marco Protasi
      Pages 107-112

    11. On the Use of Simple Classifiers for the Initialisation of One-Hidden-Layer Neural Nets

      • Jan C. Bioch, Robert Carsouw, Rob Potharst
      Pages 113-117

    12. Modelling Conditional Probability Distributions for Periodic Variables

      • Christopher M. Bishop, Ian T. Nabney
      Pages 118-122
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Keywords

About this book

This volume of research papers comprises the proceedings of the first International Conference on Mathematics of Neural Networks and Applications (MANNA), which was held at Lady Margaret Hall, Oxford from July 3rd to 7th, 1995 and attended by 116 people. The meeting was strongly supported and, in addition to a stimulating academic programme, it featured a delightful venue, excellent food and accommo­ dation, a full social programme and fine weather - all of which made for a very enjoyable week. This was the first meeting with this title and it was run under the auspices of the Universities of Huddersfield and Brighton, with sponsorship from the US Air Force (European Office of Aerospace Research and Development) and the London Math­ ematical Society. This enabled a very interesting and wide-ranging conference pro­ gramme to be offered. We sincerely thank all these organisations, USAF-EOARD, LMS, and Universities of Huddersfield and Brighton for their invaluable support. The conference organisers were John Mason (Huddersfield) and Steve Ellacott (Brighton), supported by a programme committee consisting of Nigel Allinson (UMIST), Norman Biggs (London School of Economics), Chris Bishop (Aston), David Lowe (Aston), Patrick Parks (Oxford), John Taylor (King's College, Lon­ don) and Kevin Warwick (Reading). The local organiser from Huddersfield was Ros Hawkins, who took responsibility for much of the administration with great efficiency and energy. The Lady Margaret Hall organisation was led by their bursar, Jeanette Griffiths, who ensured that the week was very smoothly run.

Editors and Affiliations

  • School of Computing and Mathematical Sciences, University of Brighton, Brighton, UK

    Stephen W. Ellacott

  • School of Computing and Mathematics, University of Huddersfield, Queensgate, Huddersfield, UK

    John C. Mason, Iain J. Anderson

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