Teleonomic entropy: measuring the phase-space of end-directed systems

Pudmenzky, Alexander (2005) Teleonomic entropy: measuring the phase-space of end-directed systems. Applied Mathematics And Computation, 162 2: 695-705. doi:10.1016/j.amc.2004.01.006


Author Pudmenzky, Alexander
Title Teleonomic entropy: measuring the phase-space of end-directed systems
Journal name Applied Mathematics And Computation   Check publisher's open access policy
ISSN 0096-3003
Publication date 2005
Sub-type Article (original research)
DOI 10.1016/j.amc.2004.01.006
Volume 162
Issue 2
Start page 695
End page 705
Total pages 11
Place of publication Netherlands
Publisher Elsevier
Collection year 2005
Language eng
Subject C1
230100 Mathematics
671304 Data, image and text equipment
Abstract We introduce a novel way of measuring the entropy of a set of values undergoing changes. Such a measure becomes useful when analyzing the temporal development of an algorithm designed to numerically update a collection of values such as artificial neural network weights undergoing adjustments during learning. We measure the entropy as a function of the phase-space of the values, i.e. their magnitude and velocity of change, using a method based on the abstract measure of entropy introduced by the philosopher Rudolf Carnap. By constructing a time-dynamic two-dimensional Voronoi diagram using Voronoi cell generators with coordinates of value- and value-velocity (change of magnitude), the entropy becomes a function of the cell areas. We term this measure teleonomic entropy since it can be used to describe changes in any end-directed (teleonomic) system. The usefulness of the method is illustrated when comparing the different approaches of two search algorithms, a learning artificial neural network and a population of discovering agents. (C) 2004 Elsevier Inc. All rights reserved.
Keyword Mathematics, Applied
Carnap Entropy
Teleonomic Entropy
Teleonomic Creativity
Phase-space
Voronoi Diagram
Artificial Neural Network
Agent System
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Unknown

 
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Created: Wed, 15 Aug 2007, 03:57:56 EST