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Recently, Approximate Message Passing (AMP) has been integrated with stochastic localization (diffusion model) by providing a computationally efficient estimator of the posterior mean. Existing (rigorous) analysis typically proves the…

Statistics Theory · Mathematics 2025-03-18 Han Cui , Zhiyuan Yu , Jingbo Liu

Recently, full sky maps from Planck have been made publicly available. In this paper, we do consistency tests for the three Planck CMB sky maps. We assume that the difference between two maps represents the contributions from systematics,…

Cosmology and Nongalactic Astrophysics · Physics 2013-09-27 Anne Mette Frejsel , Martin Hansen , Hao Liu

The back-focal plane (BFP) of a high-numerical aperture objective contains the fluoro-phore radiation pattern, which encodes information about the axial fluorophore position, molecular orientation and the local refractive index of the…

Bayesian inference requires specification of a single, precise prior distribution, whereas frequentist inference only accommodates a vacuous prior. Since virtually every real-world application falls somewhere in between these two extremes,…

Methodology · Statistics 2023-09-26 Ryan Martin

We examine the consistency of WMAP9 and Planck data. We compare sky maps, power spectra, and inferred LCDM cosmological parameters. Residual dipoles are seen in the WMAP and Planck sky map differences, but are consistent within the…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-30 D. Larson , J. L. Weiland , G. Hinshaw , C. L. Bennett

We introduce a comprehensive, custom-developed neural network, the PUREPath-B, that yields a posterior predictive distribution of Cosmic Microwave Background (CMB) B-mode signal conditioned on the foreground contaminated CMB data and…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-27 Vipin Sudevan , Pisin Chen

In this second part of our two-part paper, we provide a detailed, frequentist framework for propagating uncertainties within our multivariate linear least squares model. This permits us to quantify the impact of uncertainties in…

Applications · Statistics 2019-08-09 Pranay Seshadri , Andrew Duncan , Duncan Simpson , George Thorne , Geoffrey Parks

We present a new map-making method for CMB measurements. The method is based on the destriping technique, but it also utilizes information about the noise spectrum. The low-frequency component of the instrument noise stream is modelled as a…

Astrophysics · Physics 2009-11-10 E. Keihanen , H. Kurki-Suonio , T. Poutanen

We introduce the Bayesian Global Sky Model (B-GSM), a novel data-driven Bayesian approach to modelling radio foregrounds at frequencies <400~MHz. B-GSM aims to address the limitations of previous models by incorporating robust error…

Instrumentation and Methods for Astrophysics · Physics 2025-11-12 George Carter , Will Handley , Mark Ashdown , Nima Razavi-Ghods

We use a model of polarized Galactic emission developed by the the Planck collaboration to assess the impact of foregrounds on B-mode detection at low multipoles. Our main interest is to applications of noisy polarization data and in…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-13 George Efstathiou , Steven Gratton , Francesco Paci

We present the Bayesian Global Sky Model (B-GSM), a new absolutely calibrated model of the diffuse Galactic foreground at frequencies below 408 MHz. We assemble a dataset of publicly available diffuse emission maps at frequencies between 45…

Instrumentation and Methods for Astrophysics · Physics 2025-04-08 George Carter , Will Handley , Mark Ashdown , Nima Razavi-Ghods

The detection and flux estimation of point sources in cosmic microwave background (CMB) maps is a very important task in order to clean the maps and also to obtain relevant astrophysical information. In this paper we propose a maximum a…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 F. Argueso , E. Salerno , D. Herranz , J. L. Sanz , E. E. Kuruoglu , K. Kayabol

We describe an extension of the most recent version of the Planck Catalogue of Compact Sources (PCCS2), produced using a new multi-band Bayesian Extraction and Estimation Package (BeeP). BeeP assumes that the compact sources present in…

Astrophysics of Galaxies · Physics 2021-01-04 Planck Collaboration , Y. Akrami , M. Ashdown , J. Aumont , C. Baccigalupi , M. Ballardini , A. J. Banday , R. B. Barreiro , N. Bartolo , S. Basak , K. Benabed , J. -P. Bernard , M. Bersanelli , P. Bielewicz , J. R. Bond , J. Borrill , F. R. Bouchet , C. Burigana , E. Calabrese , P. Carvalho , H. C. Chiang , B. P. Crill , F. Cuttaia , A. de Rosa , G. de Zotti , J. Delabrouille , J. -M. Delouis , E. Di Valentino , J. M. Diego , X. Dupac , S. Dusini , G. Efstathiou , F. Elsner , T. A. Enßlin , H. K. Eriksen , R. Fernandez-Cobos , F. Finelli , A. A. Fraisse , E. Franceschi , A. Frolov , S. Galeotta , K. Ganga , M. Gerbino , J. González-Nuevo , K. M. Górski , S. Gratton , A. Gruppuso , J. E. Gudmundsson , W. Handley , F. K. Hansen , D. Herranz , E. Hivon , M. Hobson , Z. Huang , W. C. Jones , E. Keihänen , R. Keskitalo , J. Kim , T. S. Kisner , N. Krachmalnicoff , M. Kunz , H. Kurki-Suonio , J. -M. Lamarre , A. Lasenby , M. Lattanzi , C. R. Lawrence , M. Le Jeune , F. Levrier , P. B. Lilje , V. Lindholm , M. López-Caniego , Y. -Z. Ma , J. F. Macías-Pérez , G. Maggio , N. Mandolesi , A. Marcos-Caballero , M. Maris , P. G. Martin , E. Martínez-González , S. Matarrese , N. Mauri , J. D. McEwen , M. Migliaccio , D. Molinari , A. Moneti , L. Montier , G. Morgante , P. Natoli , D. Paoletti , B. Partridge , F. Perrotta , V. Pettorino , F. Piacentini , G. Polenta , J. -L. Puget , J. P. Rachen , M. Reinecke , M. Remazeilles , A. Renzi , G. Rocha , G. Roudier , B. Ruiz-Granados , M. Savelainen , D. Scott , G. Sirri , L. D. Spencer , A. -S. Suur-Uski , J. A. Tauber , D. Tavagnacco , M. Tenti , L. Toffolatti , M. Tomasi , T. Trombetti , J. Valiviita , B. Van Tent , P. Vielva , F. Villa , I. K. Wehus , A. Zacchei , A. Zonca

The characterization of the Galactic foregrounds has been shown to be the main obstacle in the challenging quest to detect primordial B-modes in the polarized microwave sky. We make use of the Planck-HFI 2015 data release at high…

Cosmology and Nongalactic Astrophysics · Physics 2017-03-01 Planck Collaboration , N. Aghanim , M. Ashdown , J. Aumont , C. Baccigalupi , M. Ballardini , A. J. Banday , R. B. Barreiro , N. Bartolo , S. Basak , K. Benabed , J. -P. Bernard , M. Bersanelli , P. Bielewicz , A. Bonaldi , L. Bonavera , J. R. Bond , J. Borrill , F. R. Bouchet , F. Boulanger , A. Bracco , C. Burigana , E. Calabrese , J. -F. Cardoso , H. C. Chiang , L. P. L. Colombo , C. Combet , B. Comis , B. P. Crill , A. Curto , F. Cuttaia , R. J. Davis , P. de Bernardis , A. de Rosa , G. de Zotti , J. Delabrouille , J. -M. Delouis , E. Di Valentino , C. Dickinson , J. M. Diego , O. Doré , M. Douspis , A. Ducout , X. Dupac , S. Dusini , G. Efstathiou , F. Elsner , T. A. Enßlin , H. K. Eriksen , E. Falgarone , Y. Fantaye , F. Finelli , M. Frailis , A. A. Fraisse , E. Franceschi , A. Frolov , S. Galeotta , S. Galli , K. Ganga , R. T. Génova-Santos , M. Gerbino , T. Ghosh , M. Giard , J. González-Nuevo , K. M. Górski , A. Gregorio , A. Gruppuso , J. E. Gudmundsson , F. K. Hansen , G. Helou , D. Herranz , E. Hivon , Z. Huang , A. H. Jaffe , W. C. Jones , E. Keihänen , R. Keskitalo , T. S. Kisner , N. Krachmalnicoff , M. Kunz , H. Kurki-Suonio , G. Lagache , A. Lähteenmäki , J. -M. Lamarre , A. Lasenby , M. Lattanzi , C. R. Lawrence , M. Le Jeune , F. Levrier , M. Liguori , P. B. Lilje , M. López-Caniego , P. M. Lubin , J. F. Macías-Pérez , G. Maggio , D. Maino , N. Mandolesi , A. Mangilli , M. Maris , P. G. Martin , E. Martínez-González , S. Matarrese , N. Mauri , J. D. McEwen , A. Melchiorri , A. Mennella , M. Migliaccio , S. Mitra , M. -A. Miville-Deschênes , D. Molinari , A. Moneti , L. Montier , G. Morgante , A. Moss , P. Naselsky , H. U. Nørgaard-Nielsen , C. A. Oxborrow , L. Pagano , D. Paoletti , B. Partridge , L. Patrizii , O. Perdereau , L. Perotto , V. Pettorino , F. Piacentini , S. Plaszczynski , G. Polenta , J. -L. Puget , J. P. Rachen , M. Reinecke , M. Remazeilles , A. Renzi , G. Rocha , M. Rossetti , G. Roudier , J. A. Rubiño-Martín , B. Ruiz-Granados , L. Salvati , M. Sandri , M. Savelainen , D. Scott , C. Sirignano , G. Sirri , L. Stanco , A. -S. Suur-Uski , J. A. Tauber , M. Tenti , L. Toffolatti , M. Tomasi , M. Tristram , T. Trombetti , J. Valiviita , J. Vansyngel , F. Van Tent , P. Vielva , B. D. Wandelt , I. K. Wehus , A. Zacchei , A. Zonca

Beyond estimating parameters of interest from data, one of the key goals of statistical inference is to properly quantify uncertainty in these estimates. In Bayesian inference, this uncertainty is provided by the posterior distribution, the…

Machine Learning · Computer Science 2025-01-03 Daniela de Albuquerque , John Pearson

Galactic all-sky maps at very disparate frequencies, like in the radio and $\gamma$-ray regime, show similar morphological structures. This mutual information reflects the imprint of the various physical components of the interstellar…

The C-Band All-Sky Survey (C-BASS) is an all-sky full-polarisation survey at a frequency of 5 GHz, designed to provide complementary data to the all-sky surveys of WMAP and Planck, and future CMB B-mode polarization imaging surveys. The…

This work proposes $\mu$GUIDE: a general Bayesian framework to estimate posterior distributions of tissue microstructure parameters from any given biophysical model or MRI signal representation, with exemplar demonstration in…

Image and Video Processing · Electrical Eng. & Systems 2024-09-05 Maëliss Jallais , Marco Palombo

In this article, we describe a new estimate of the Cosmic Microwave Background (CMB) intensity map reconstructed by a joint analysis of the full Planck 2015 data (PR2) and WMAP nine-years. It provides more than a mere update of the CMB map…

Cosmology and Nongalactic Astrophysics · Physics 2016-06-15 J. Bobin , F. Sureau , J-L Starck

Diffusion models have recently driven significant breakthroughs in generative modeling. While state-of-the-art models produce high-quality samples on average, individual samples can still be low quality. Detecting such samples without human…

Machine Learning · Computer Science 2025-06-13 Metod Jazbec , Eliot Wong-Toi , Guoxuan Xia , Dan Zhang , Eric Nalisnick , Stephan Mandt
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