A new approach for the statistical denoising of <i>Planck</i> interstellar dust polarization data

Blancard, Bruno Régaldo-Saint; Allys, Erwan; Boulanger, F.; Levrier, F.; Jeffrey, Niall

doi:10.1051/0004-6361/202140503

Cited by 14 publications

(5 citation statements)

References 43 publications

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“…Ongoing developments [510][511][512] promise to yield powerful statistical tools for characterizing the LiteBIRD dust data and its comparison with simulations, ultimately leading to improved simulations that fully describe the physical processes in our Galaxy. A specific scientific objective will be to elucidate the origin of parity violation (the TB correlation [53]) of polarized dust emission.…”

Section: Original Unedited Manuscriptmentioning

confidence: 99%

Probing cosmic inflation with theLiteBIRDcosmic microwave background polarization survey

Allys

Arnold

Aumont

et al. 2022

Progress of Theoretical and Experimental Physics

159

108

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LiteBIRD the Lite (Light) satellite for the study of B-mode polarization and Inflation from cosmic background Radiation Detection, is a space mission for primordial cosmology and fundamental physics. The Japan Aerospace Exploration Agency (JAXA) selected LiteBIRD in May 2019 as a strategic large-class (L-class) mission, with an expected launch in the late 2020s using JAXA’s H3 rocket. LiteBIRD is planned to orbit the Sun-Earth Lagrangian point L2, where it will map the cosmic microwave background (CMB) polarization over the entire sky for three years, with three telescopes in 15 frequency bands between 34 and 448 GHz, to achieve an unprecedented total sensitivity of 2.2 μK-arcmin, with a typical angular resolution of 0.5○ at 100 GHz. The primary scientific objective of LiteBIRD is to search for the signal from cosmic inflation, either making a discovery or ruling out well-motivated inflationary models. The measurements of LiteBIRD will also provide us with insight into the quantum nature of gravity and other new physics beyond the standard models of particle physics and cosmology. We provide an overview of the LiteBIRD project, including scientific objectives, mission and system requirements, operation concept, spacecraft and payload module design, expected scientific outcomes, potential design extensions and synergies with other projects. Subject Index LiteBIRD cosmic inflation, cosmic microwave background, B-mode polarization, primordial gravitational waves, quantum gravity, space telescope

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Section: Original Unedited Manuscriptmentioning

confidence: 99%

Probing cosmic inflation with theLiteBIRDcosmic microwave background polarization survey

Allys

Arnold

Aumont

et al. 2022

Progress of Theoretical and Experimental Physics

159

108

View full text Add to dashboard Cite

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“…Our proposed approach enables a new range of data/simulation analyses, e.g. ( 23 , 24 ), involving extensions to the modeling of cross-regularities when multiple channels are available, e.g. ( 22 ).…”

Section: Discussionmentioning

confidence: 99%

“…Other representations, which are built from covariances of phase harmonics of wavelet transforms ( 18 , 19 ), have also been used to model different astrophysical processes ( 20–22 ). Such models, which can be built from a single image, have in turn enabled the development of new component separation methods ( 23 , 24 ), which can be directly applied to observational data without any particular prior model of the components of a mixture ( 25 , 26 ).…”

Section: Introductionmentioning

confidence: 99%

Scattering spectra models for physics

Cheng,

Morel,

Allys

et al. 2024

PNAS Nexus

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Physicists routinely need probabilistic models for a number of tasks such as parameter inference or the generation of new realizations of a field. Establishing such models for highly non-Gaussian fields is a challenge, especially when the number of samples is limited. In this paper, we introduce scattering spectra models for stationary fields and we show that they provide accurate and robust statistical descriptions of a wide range of fields encountered in physics. These models are based on covariances of scattering coefficients, i.e. wavelet decomposition of a field coupled with a pointwise modulus. After introducing useful dimension reductions taking advantage of the regularity of a field under rotation and scaling, we validate these models on various multiscale physical fields and demonstrate that they reproduce standard statistics, including spatial moments up to 4th order. The scattering spectra provide us with a low-dimensional structured representation that captures key properties encountered in a wide range of physical fields. These generic models can be used for data exploration, classification, parameter inference, symmetry detection, and component separation.

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“…However, for polarization, data noise is a severe limitation that must be circumvented. A new direction was opened by Regaldo Saint- Blancard et al (2021) who introduced an algorithm successfully using scattering statistics to separate dust emission from data noise. They applied it to flat-sky Planck Stokes images at 353 GHz.…”

Section: Introductionmentioning

confidence: 99%

“…This paper aims to extend the innovative approach of Regaldo Saint- Blancard et al (2021) to the sphere and to apply it to all-sky Planck polarization maps. Our scientific motivation is to obtain denoised Planck Stokes maps that may be used for the modelling of the dust foreground to CMB polarization.…”

Section: Introductionmentioning

confidence: 99%

Non-Gaussian modelling and statistical denoising of Planck dust polarization full-sky maps using scattering transforms

Delouis¹,

Allys²,

Gauvrit³

et al. 2022

Preprint

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Scattering transforms have been successfully used to describe dust polarization for flat-sky images. This paper expands this framework to noisy observations on the sphere with the aim of obtaining denoised Stokes Q and U all-sky maps at 353 GHz, as well as a non-Gaussian model of dust polarization, from the Planck data. To achieve this goal, we extend the computation of scattering coefficients to the Healpix pixelation and introduce cross-statistics that allow us to make use of half-mission maps as well as the correlation between dust temperature and polarization. Introducing a general framework, we develop an algorithm that uses the scattering statistics to separate dust polarization from data noise. The separation is validated on mock data, before being applied to the SRoll2 Planck maps at N side = 256. The validation shows that the statistics of the dust emission, including its non-Gaussian properties, are recovered until max ∼ 700, where, at high Galactic latitudes, the dust power is smaller than that of the dust by two orders of magnitude. On scales where the dust power is lower than one tenth of that of the noise, structures in the output maps have comparable statistics but are not spatially coincident with those of the input maps. Our results on Planck data are significant milestones opening new perspectives for statistical studies of dust polarization and for the simulation of Galactic polarized foregrounds. The Planck denoised maps will be made available together with results from our validation on mock data, which may be used to quantify uncertainties.

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A new approach for the statistical denoising of Planck interstellar dust polarization data

Cited by 14 publications

References 43 publications

Probing cosmic inflation with theLiteBIRDcosmic microwave background polarization survey

Probing cosmic inflation with theLiteBIRDcosmic microwave background polarization survey

Scattering spectra models for physics

Non-Gaussian modelling and statistical denoising of Planck dust polarization full-sky maps using scattering transforms

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