Function parametrization: Difference between revisions
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The method of function parameterization (FP) consists of the numerical determination, by statistical regression on a database of simulated states, of simple functional representations | The method of function parameterization (FP) consists of the numerical determination, by statistical regression on a database of simulated states, of simple functional representations | ||
of parameters characterizing the state of a particular physical system, where the arguments of the functions are statistically independent combinations of diagnostic raw measurements of | of parameters characterizing the state of a particular physical system, where the arguments of the functions are statistically independent combinations of diagnostic raw measurements of the system whose geometry is fixed. The technique, developed by H. Wind for the purpose of momentum determination from spark chamber data <ref> Wind, H., `Function Parametrization' | ||
in ``Proceedings of the 1972 CERN Computing and Data Processing School'', CERN 72--21, 1972, pp.~53--106.} </ref> , <ref>Wind, H., | |||
<ref> Wind, H., | (a)`Principal component analysis and its application to track finding', (b) `interpolation and function representation' | ||
in ``Formulae and Methods in Experimental Data Evaluation'',Vol. 3, European Physical Society, Geneva, 1984</ref>, was introduced by B. Braams to plasma physics, | |||
in ``Proceedings of the 1972 CERN Computing and Data Processing School'', | where its first application (to the analysis of equilibrium magnetic measurements on ASDEX) together with a succinct mathematical description, appeared in ref. <sup>[1]</sup>. | ||
CERN 72--21, 1972, pp.~53--106.} </ref> , <ref>Wind, H., | |||
(a)`Principal component analysis and its application to track | |||
finding', (b) `interpolation and function representation' | |||
in ``Formulae and Methods in Experimental Data Evaluation'', | |||
Vol. 3, European Physical Society, Geneva, 1984</ref>, was introduced by B. Braams to plasma physics, where its first application (to the analysis of equilibrium magnetic | |||
measurements on ASDEX) together with a succinct mathematical description, appeared in ref. <sup>[1]</sup>. | |||
The application of the technique requires that a model exists to compute the response of the measurements (''q'') to variations of the system parameters (''p''), i.e. the mapping ''q = M(p)'' is known. | The application of the technique requires that a model exists to compute the response of the measurements (''q'') to variations of the system parameters (''p''), i.e. the mapping ''q = M(p)'' is known. | ||