Multiquadric radial basis functions for representing multidimensional high energy physics data
1993; Elsevier BV; Volume: 77; Issue: 3 Linguagem: Inglês
10.1016/0010-4655(93)90184-e
ISSN1879-2944
Autores Tópico(s)Electromagnetic Simulation and Numerical Methods
ResumoWe examine how basis functions can be used to represent multidimensional data and argue that radial basis functions are a natural choice. Of all the possible radial basis functions, multiquadrics, counter-intuitively, turn out to be supremely suitable for representing high energy physics event densities, and probably many other forms of scientific data, because they fulfill the physicists' requirements of sensible non-erratic behaviour and follow significant variations in a smooth and faithful way. The stochastic nature of high energy physics data often gives rise to unwelcome statistical fluctuations; our algorithm can be used to smooth these out. The smoothed function is much easier to visualise than the original scattered events. A suite of Fortran subroutines has been written in the framework of current high energy physics data analysis systems, HBOOK and PAW.
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