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Abstract
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Discrete Dynamics in Nature and Society
Volume 3 (1999), Issue 1, Pages 43-49
doi:10.1155/S1026022699000060

Cognition: Differential-geometrical view on neural networks

S.A. Buffalov

Radio-physical Department, Tomsk State University, Lytkina 24-109, Tomsk 634034, Russia

Abstract

A neural network taken as a model of a trainable system appears to be nothing but a dynamical system evolving on a tangent bundle with changeable metrics. In other words to learn means to change metrics of a definite manifold.