Mathematics of Neural Networks

1. Front Matter

   Pages i-xxii

   PDF

2. Invited Papers

   1. Front Matter

      Pages 1-1

      PDF

   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

      PDF

   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

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.

• Analysis
• algorithms
• artificial intelligence
• image processing
• learning
• linear optimization
• machine learning
• modeling
• nonlinear optimization
• programming
• speech recognition

• 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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