Sparse inpainting techniques are gaining in popularity as a tool for cosmological data analysis, in particular for handling data which present masked regions and missing observations. We investigate here the relationship between sparse inpainting techniques using the spherical harmonic basis as a dictionary and the isotropy properties of cosmological maps, as for instance those arising from cosmic microwave background (CMB) experiments. In particular, we investigate the possibility that inpainted maps may exhibit anisotropies in the behaviour of higher-order angular polyspectra. We provide analytic computations and simulations of inpainted maps for a Gaussian isotropic model of CMB data, suggesting that the resulting angular trispectrum may exhibit small but non-negligible deviations from isotropy

Feeney, S., Marinucci, D., Mcewen, J., Peiris, H., Wandelt, B., Cammarota, V. (2014). Sparse inpainting and isotropy. JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS(1) [10.1088/1475-7516/2014/01/050].

Sparse inpainting and isotropy

MARINUCCI, DOMENICO;
2014

Abstract

Sparse inpainting techniques are gaining in popularity as a tool for cosmological data analysis, in particular for handling data which present masked regions and missing observations. We investigate here the relationship between sparse inpainting techniques using the spherical harmonic basis as a dictionary and the isotropy properties of cosmological maps, as for instance those arising from cosmic microwave background (CMB) experiments. In particular, we investigate the possibility that inpainted maps may exhibit anisotropies in the behaviour of higher-order angular polyspectra. We provide analytic computations and simulations of inpainted maps for a Gaussian isotropic model of CMB data, suggesting that the resulting angular trispectrum may exhibit small but non-negligible deviations from isotropy
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore MAT/06 - Probabilita' e Statistica Matematica
Settore FIS/05 - Astronomia e Astrofisica
English
Feeney, S., Marinucci, D., Mcewen, J., Peiris, H., Wandelt, B., Cammarota, V. (2014). Sparse inpainting and isotropy. JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS(1) [10.1088/1475-7516/2014/01/050].
Feeney, S; Marinucci, D; Mcewen, J; Peiris, H; Wandelt, B; Cammarota, V
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/131245
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