Experimental modeling of physical laws |
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Authors: | I. Grabec |
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Affiliation: | (1) Faculty of Mechanical Engineering, University of Ljubljana, Aškerčeva 6, PP 394, 1001 Ljubljana, Slovenia, SI |
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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. Received 24 February 2000 and Received in final form 21 February 2001 |
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Keywords: | PACS. 06.20.DK Measurement and error theory – 02.50.-r Probability theory, stochastic processes, and statistics – 89.70.+c Information science |
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