How do wavelength correlations affect transmission spectra? Application of a new fast and flexible 2D Gaussian process framework to transiting exoplanet spectroscopy

Open Access

Table E.1

Overview of MCMC blocked Gibbs sampling steps for all 2D GP analyses of both VLT/FORS2 datasets.

Parameter	Step
All Mean Function Parameters	NUTS 1
h_CM: CM Height Scale	NUTS 1
l_t: Time length scale (days)	NUTS 1
$l_{λ_{C M}} :$ $\[l_{\lambda_{\mathrm{CM}}}\text:\]$ CM Wavelength length scale (Å)	Slice
$h_{W S S; λ_{i}} :$ $\[h_{\mathrm{WSS}; \lambda_{\mathrm{i}}}\text:\]$ WSS Height Scales (> 5 × 10⁻⁵)	Slice
$h_{W S S; λ_{i}} :$ $\[h_{\mathrm{WSS}; \lambda_{\mathrm{i}}}\text:\]$ WSS Height Scales (< 5 × 10⁻⁵)	NUTS 2
σ: White noise amplitude	NUTS 3
h_HFS: HFS Height Scale	NUTS 3
$l_{λ_{H F S}} :$ $\[l_{\lambda_{\mathrm{HFS}}}\text:\]$ HFS Wavelength Length Scale	NUTS 3

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