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Geometry of Intentionality in Neurodynamics
Authors:
Germano Resconi
Robert Kozma
Keywords: Neurodynamics; Intentionality; Geometry of Cognition; Neuromorphic Computing ; Geodesic; Memristor.
Abstract:
Brains are the most complex systems in the known Universe and they are composed of simple neural units producing electrical impulses. The key contribution of this work is the use of geometric concepts for neural states, in terms of currents and voltages. In the introduced adaptive neuromorphic electrical circuit, we relate voltage with current using the conductance matrix or alternatively using the impedance matrix. After a change of reference system and introducing a new distance measure, we transform the initially linear relationships into a geodetic over the phase space. Every change of variables can be reproduced by a similar change of voltages into currents and vice versa with the help of the conductance or impedance matrices, respectively. Our geometric approach to neurodynamics can be applied to integrate digital computer structure with neuromorphic computing principles, which produces an efficient new computational paradigm.
Pages: 107 to 114
Copyright: Copyright (c) IARIA, 2012
Publication date: July 22, 2012
Published in: conference
ISSN: 2308-4197
ISBN: 978-1-61208-218-9
Location: Nice, France
Dates: from July 22, 2012 to July 27, 2012