Abstract
In this paper we give an overview of a recently developed theory [1, 2] which allows for calculating finite size corrections to the dynamical equations describing the dynamics of separable Neural Networks, away from saturation. According to this theory, finite size effects are described by a linear-noise Fokker Planck equation for the fluctuations (corresponding to an Ornstein-Uhlenbeck process), whose solution is characterized by the first two moments. The theory is applied to a particular problem in which detailed balance does not hold.
Original language | English |
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Title of host publication | Foundations and Tools for Neural Modeling - International Work-Conference on Artificial and Natural Neural Networks, IWANN 1999, Proceedings |
Editors | José Mira, Juan V. Sánchez-Andrés |
Publisher | Springer Verlag |
Pages | 393-400 |
Number of pages | 8 |
ISBN (Print) | 3540660690, 9783540660699 |
DOIs | |
State | Published - 1999 |
Event | 5th International Work-Conference on Artificial and Natural Neural Networks, IWANN 1999 - Alicante, Spain Duration: 2 Jun 1999 → 4 Jun 1999 |
Publication series
Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
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Volume | 1606 |
ISSN (Print) | 0302-9743 |
ISSN (Electronic) | 1611-3349 |
Conference
Conference | 5th International Work-Conference on Artificial and Natural Neural Networks, IWANN 1999 |
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Country/Territory | Spain |
City | Alicante |
Period | 2/06/99 → 4/06/99 |
Bibliographical note
Publisher Copyright:© Springer-Verlag Berlin Heidelberg 1999.