Open AccessThe use of prior information for extracting the post‐edge background
Author(s) -
Klementev K. V.
Publication year - 2001
Publication title -
journal of synchrotron radiation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.172
H-Index - 99
ISSN - 1600-5775
DOI - 10.1107/s090904950001534x
Subject(s) - smoothing , bayesian probability , prior probability , posterior probability , enhanced data rates for gsm evolution , computer science , prior information , noise (video) , spline (mechanical) , smoothing spline , artificial intelligence , algorithm , pattern recognition (psychology) , mathematics , computer vision , physics , image (mathematics) , spline interpolation , thermodynamics , bilinear interpolation
A new method for extracting the post‐edge background µ 0 is proposed, the method of Bayesian smoothing. A further evolution of the smoothing spline method is considered as well. Both techniques are capable to take into account prior information about the peculiarities on the µ 0 . In addition, since the Bayesian approach works in terms of the posterior probability density functions, it contains a natural way to determine the errors of the µ 0 construction, which has always been an unresolvable problem for any other method. Even with use of the prior information, which narrows the posterior probabilities, the errors of µ 0 are shown to be larger than the experimental noise.