Mainstream statistical methodology is generally applicable to data observed in Euclidean
space. There are, however, numerous contexts of considerable scientific interest in which …

We report on the implications for cosmic inflation of the 2018 release of the Planck cosmic
microwave background (CMB) anisotropy measurements. The results are fully consistent …

Accurate lighting estimation is challenging yet critical to many computer vision and computer
graphics tasks such as high-dynamic-range (HDR) relighting. Existing approaches model …

Analysis of the Planck 2018 data set indicates that the statistical properties of the cosmic
microwave background (CMB) temperature anisotropies are in excellent agreement with …

We present the current accounting of systematic effect uncertainties for the Low Frequency
Instrument (LFI) that are relevant to the 2015 release of the Planck cosmological results …

This book presents the state of the art in sparse and multiscale image and signal processing,
covering linear multiscale transforms, such as wavelet, ridgelet, or curvelet transforms, and …

We test the statistical isotropy and Gaussianity of the cosmic microwave background (CMB)
anisotropies using observations made by the Planck satellite. Our results are based mainly …

Random Fields on the Sphere presents a comprehensive analysis of isotropic spherical
random fields. The main emphasis is on tools from harmonic analysis, beginning with the …

This review is devoted to recent developments in the statistical analysis of spherical data,
strongly motivated by applications in cosmology. We start from a brief discussion of …

Planck data have been used to provide stringent new constraints on cosmic strings and
other defects. We describe forecasts of the CMB power spectrum induced by cosmic strings …