Breakthrough in Interval Data Fitting II. From Ranges to Means and Standard Deviations

• Autorzy: Gutowski M.W.
• Konferencja: Evolutionary Computation and Global Optimization 2009 / National Conference (12 ; 1-3.06.2009 ; Zawoja, Poland)
• Języki publikacji: EN

Abstrakty

EN

Interval analysis, when applied to the so called problem of experimental data fitting, appears to be still in its infancy. Sometimes, partly because of the unrivaled reliability of interval methods, we do not obtain any results at all. Worse yet, if this happens, then we are left in the state of complete ignorance concerning the unknown parameters of interest. This is in sharp contrast with widespread statistical methods of data analysis. In this paper I show the connections between those two approaches: how to process experimental data rigorously, using interval methods, and present the final results either as intervals (guaranteed, rigorous results) or in a more familiar probabilistic form: as a mean value and its standard deviation.

Słowa kluczowe

EN

global optimization; interval data; interval computations; standard deviation; means deviation

PL

optymalizacja globalna; dane interwałowe; przedział obliczeń; odchylenie średnie; odchylenie standardowe

• Wydawca: Oficyna Wydawnicza Politechniki Warszawskiej
• Czasopismo: Prace Naukowe Politechniki Warszawskiej. Elektronika
• Rocznik: 2009
• Tom: z. 169
• Strony: 73--78
• Opis fizyczny: Bibliogr. 4 poz.

Twórcy

autor

Gutowski M.W.

• Institute of Physics, Polish Academy of Sciences, 02-668 Warszawa, Poland,

Bibliografia

• [1] Marek W. Gutowski Breakthrough in Interval Data Fitting. I. The Role of Hausdorff Distance, in this proceedings.
• [2] R.E. Moore Interval Analysis Prentice Hall, Englewood Cliffs, NJ, 1966
• [3] A. Voschinin, N. Skibitski, Interval calibration model of multisensor system, Intelligent Data Acquisition and Advanced Computing Systems: Technology and Applications, IDAACS'2003. Proceedings of the Second IEEE International Workshop on. pp. 253-256
• [4] S. Skelboe, Computation of rational interval functions, BIT 14, 87-95, 1974