Eur. Phys. J. B 22, 129-135 (2001)
https://doi.org/10.1007/PL00011130

Experimental modeling of physical laws

Faculty of Mechanical Engineering, University of Ljubljana, Aškerčeva 6, PP 394, 1001 Ljubljana, Slovenia

Corresponding author: ^a igor.grabec@fs.uni-lj.si

Received: 24 February 2000
Revised: 21 February 2001
Published online: 15 July 2001

Abstract

A physical law is represented by the probability distribution of a measured variable. The probability density is described by measured data using an estimator whose kernel is the instrument scattering function. The experimental information and data redundancy are defined in terms of information entropy. The model cost function, comprised of data redundancy and estimation error, is minimized by the creation-annihilation process.