Example of the Bayesian signal detection scheme applied to a synthetic spectrum of the scattering polarization pattern across the Mg ii h and k lines obtained by Belluzzi & Trujillo Bueno (2012). The dots display the observations with increasingly higher Gaussian noise. To avoid cluttering, we only show one error bar. The solid (dotted) red curve is the mean (standard deviation) of the Gaussian predictive distribution and is computed using Eq. (18). The blue curves display the contribution of each individual kernel function, and the green curve is the original synthetic profile. The logarithm of the evidence ratio given in Eq. (5) is shown for each case. Additionally, we display Mactive, the number of active basis functions considered by the relevance vector machine algorithm.
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