Lecture Notes in Physics

Transcription

1 Lecture Notes in Physics Edited by H. Araki, Kyoto, J. Ehlers, M6nchen, K. Hepp, Z[~rich R. Kippenhahn, ML~nchen, D. Ruelle, Bures-sur-Yvette H.A. WeidenmL~ller, Heidelberg, J. Wess, Karlsruhe and J. Zittartz, K61n Managing Editor: W. Beiglb6ck 368 Luis Garrido (Ed.) Statistical Mechanics of Neural Networks Proceedings of the Xlth Sitges Conference Sitges, Barcelona, Spain, 3-7 June 1990 Springer-Verlag Berlin Heidelberg New York London Paris Tokyo Hong Kong Barcelona

2 Editor Luis Garrido Facultad de Fisica Departamento de Fisica Fundamental Universidad de Barcelona Diagonal 647, E Barcelona, Spain ISBN Springer-Verlag Berlin Heidelberg NewYork ISBN 0-38?-5326?-6 Springer-Verlag NewYork Berlin Heidelberg This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, re-use of illustrations, recitation, broadcasting, reproduction on microfilms or in other ways, and storage in data banks. Duplication of this publication or parts thereof is only permitted under the provisions of the Germ an Copyright Law of September 9, 1965, in its current version, and a copyright fee must always be paid. Violations fall under the prosecution act of the German Copyright Law. Springer-Verlag Berlin Heidelberg 1990 Printed in Germany Printing: Druckhaus Beltz, Hemsbach/Bergstr. Bookbinding: J. Sch&ffer GmbH & Co. KG., GrL~nstadt 2153/ Printed on acid-free paper

3 ACKNOWLEDGEMENTS I would like to take this opportunity to express my sincere thanks to all those who collaborated in the organization of this Conference. Also, I wish to extend my warmest thanks to the Generalitat de Catalunya and to the Ministerio de Educaci6n y Ciencia de Madrid for their economic support. To the City of Sitges I express my gratitude for allowing us again to use the Palace Maricel as a lecture hall. Finally, I wish to thank my wife for her unremitting help and support. Sitges, 7th June 1990 L. Garrido

4 CONTENTS INTRODUCTION: ON THE STATISTICAL-MECHANICAL FORMULATION OF NEURAL NETWORKS L. Garrido, M. Rubl MODEL NEURONS: FROM HODGKIN-HUXLEY TO HOPFIELD L.F. Abbott, T.B. Kepler STATISTICAL R. KHhn MECHANICS FOR NETWORKS OF ANALOG NEURONS PROPERTIES OF NEURAL NETWORKS WITH MULTI-STATE NEURONS H. Rieger ADAPTIVE RECURRENT NEURAL NETWORKS AND DYNAMIC STABILITY B. SchHrmann, J. Hollatz, U. Ramacher NEURONAL OSCILLATORS: EXPERIMENTS AND MODELS C. Torras i Genls NEURONAL NETWORKS IN THE HIPPOCAMPUS A. Treves, E.T. Rolls INVOLVED IN MEMORY BASINS OF ATTRACTION AND SPURIOUS STATES IN NEURAL NETWORKS L. Viana, ~. Cota, C. Martlnez TAILORING THE PERFORMANCE OF ATTRACTOR NEURAL NETWORKS K.Y.M. Wong, D. Sherrington LEARNING AND OPTIMIZATION J. Bernasconi STATISTICAL. DYNAMICS OF LEARNING J.A. Hertz LEARNING AND RETRIEVING MARKED PATTERNS S. Nicolis A LEARNING ALGORITHM FOR BINARY SYNAPSES C.J. P~rez Vicente STATISTICAL MECHANICS OF THE PERCEPTRON WITH MAXIMAL STABILITY W. Kinzel SIMULATION AND HARDWARE IMPLEMENTATION OF COMPETITIVE LEARNING NEURAL NETWORKS A. Prieto, P. Martin-Smith, J.J. Merelo, F.J. Pelayo, J. Ortega, F.J. Fernandez, B. Pino LEARNING IN MULTILAYER NETWORKS: APPROACH P. Rujan STORAGE CAPACITY OF DILUTED NEURAL NETWORKS M. Bouten A GEOMETRIC COMPUTATIONAL DYNAMICS AND STORAGE CAPACITY OF NEURAL NETWORKS WITH SIGN-CONSTRAINED WEIGHTS C. Campbell, K.Y.M. Wong THE NEURAL BASIS OF THE LOCOMOTION P. Erd6s, E. Niebur OF NEMATODES I

5 VI REVERSIBILITY IN NEURAL PROCESSING SYSTEMS K. Gustafson LYAPUNOV FUNCTIONAL FOR NEURAL NETWORKS WITH DELAYED INTERACTIONS AND STATISTICAL MECHANICS OF TEMPORAL ASSOCIATIONS Zhaoping Li, A.V.M. Herz SEMI-LOCAL SIGNAL PROCESSING IN THE VISUAL SYSTEM A.J. Noest STATISTICAL MECHANICS AND ERROR-CORRECTING CODES N. Sourlas SYNERGETIC COMPUTERS - AN ALTERNATIVE TO NEUROCOMPUTERS H. Haken DYNAMICS OF THE KOHONEN MAP T. Geszti, I. Csabai, F. Czak6, T. Szak~cs, R. Serneels, G. Vattay EQUIVALENCE BETWEEN CONNECTIONIST CLASSIFIERS AND LOGICAL CLASSIFIERS L. Bochereau, P. Bourgine, G. Deffuant ON POTTS-G~ASS-NEURAL NETWORKS WITH BIASED PATTERNS D. BolI~, P. Dupont ISING-SPIN NEURAL NETWORKS WITH SPATIAL STRUCTURE A.C.C. Coolen KINETICALLY DISORDERED LATTICE SYSTEMS J. Marro, P.L. Garrido A PROGRAMMING SYSTEM FOR IMPLEMENTING NEURAL NETS A.S. Bavan AN AUTO-AUGMENTING NEURAL-NETWORK ARCHITECTURE FOR DIAGNOSTIC REASONING S.B. Ahuja, Woo-Young Soh FORMAL INTEGRATORS AND NEURAL NETWORKS J.R. Dorronsoro, V. L6pez DISORDERED MODELS OF ACQUIRED DYSLEXIA M.A. Virasoro HIGHER-ORDER MEMORIES IN OPTIMALLY STRUCTURED NEURAL NETWORKS K.E. K~rten RANDOM BOOLEAN NETWORKS FOR AUTOASSOCIATIVE MEMORY: OPTIMIZATION AND SEQUENTIAL LEARNING D. Sherrington, E.Y.M. Wonq PARTICIPANTS 475