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We review the well-known matched filter method for the detection of point sources in astronomical images. This is shown to be optimal (that is, to saturate the Cramer--Rao bound) under stated conditions that are very strong: an isolated…

Instrumentation and Methods for Astrophysics · Physics 2021-01-01 Dustin Lang , David W. Hogg

Modern cosmological data demand modern data analysis techniques. We introduce BayOp, a new likelihood sampling and maximisation method which is based on the Bayesian Optimisation algorithm and learns a function instead of randomly sampling…

Cosmology and Nongalactic Astrophysics · Physics 2022-04-15 Jan Hamann , Julius Wons

A key challenge for current and upcoming CMB lensing measurements is their sensitivity to biases from extragalactic foregrounds, such as Sunyaev-Zeldovich (SZ) signals or cosmic infrared background emission. Several methods have been…

Cosmology and Nongalactic Astrophysics · Physics 2021-11-02 Omar Darwish , Blake D. Sherwin , Noah Sailer , Emmanuel Schaan , Simone Ferraro

We present polarization measurements of extragalactic radio sources observed during the Cosmic Microwave Background polarization survey of the Q/U Imaging Experiment (QUIET), operating at 43 GHz (Q-band) and 95 GHz (W-band). We examine…

We extend the pure pseudo-power-spectrum formalism proposed recently in the context of the Cosmic Microwave Background polarized power spectra estimation by Smith (2006) to incorporate cross-spectra computed for multiple maps of the same…

Cosmology and Nongalactic Astrophysics · Physics 2009-07-09 J. Grain , M. Tristram , R. Stompor

We demonstrate that, for the baseline design of the CORE satellite mission, the polarized foregrounds can be controlled at the level required to allow the detection of the primordial cosmic microwave background (CMB) $B$-mode polarization…

Cosmology and Nongalactic Astrophysics · Physics 2019-08-13 M. Remazeilles , A. J. Banday , C. Baccigalupi , S. Basak , A. Bonaldi , G. De Zotti , J. Delabrouille , C. Dickinson , H. K. Eriksen , J. Errard , R. Fernandez-Cobos , U. Fuskeland , C. Hervías-Caimapo , M. López-Caniego , E. Martinez-González , M. Roman , P. Vielva , I. Wehus , A. Achucarro , P. Ade , R. Allison , M. Ashdown , M. Ballardini , R. Banerji , N. Bartolo , J. Bartlett , D. Baumann , M. Bersanelli , M. Bonato , J. Borrill , F. Bouchet , F. Boulanger , T. Brinckmann , M. Bucher , C. Burigana , A. Buzzelli , Z. -Y. Cai , M. Calvo , C. -S. Carvalho , G. Castellano , A. Challinor , J. Chluba , S. Clesse , I. Colantoni , A. Coppolecchia , M. Crook , G. D'Alessandro , P. de Bernardis , G. de Gasperis , J. -M. Diego , E. Di Valentino , S. Feeney , S. Ferraro , F. Finelli , F. Forastieri , S. Galli , R. Genova-Santos , M. Gerbino , J. González-Nuevo , S. Grandis , J. Greenslade , S. Hagstotz , S. Hanany , W. Handley , C. Hernandez-Monteagudo , M. Hills , E. Hivon , K. Kiiveri , T. Kisner , T. Kitching , M. Kunz , H. Kurki-Suonio , L. Lamagna , A. Lasenby , M. Lattanzi , J. Lesgourgues , A. Lewis , M. Liguori , V. Lindholm , G. Luzzi , B. Maffei , C. J. A. P. Martins , S. Masi , D. McCarthy , J. -B. Melin , A. Melchiorri , D. Molinari , A. Monfardini , P. Natoli , M. Negrello , A. Notari , A. Paiella , D. Paoletti , G. Patanchon , M. Piat , G. Pisano , L. Polastri , G. Polenta , A. Pollo , V. Poulin , M. Quartin , J. -A. Rubino-Martin , L. Salvati , A. Tartari , M. Tomasi , D. Tramonte , N. Trappe , T. Trombetti , C. Tucker , J. Valiviita , R. Van de Weijgaert , B. van Tent , V. Vennin , N. Vittorio , K. Young , M. Zannoni

The B-mode polarization of the cosmic microwave background (CMB) provides a unique window into tensor perturbations from inflationary gravitational waves. Survey effects complicate the estimation and description of the power spectrum on the…

Cosmology and Nongalactic Astrophysics · Physics 2016-09-28 Eric R. Switzer , Duncan J. Watts

The DASI discovery of CMB polarization has opened a new chapter in cosmology. Most of the useful information about inflationary gravitational waves and reionization is on large angular scales where Galactic foreground contamination is the…

A demanding challenge in Bayesian inversion is to efficiently characterize the posterior distribution. This task is problematic especially in high-dimensional non-Gaussian problems, where the structure of the posterior can be very chaotic…

Statistics Theory · Mathematics 2015-06-04 Tapio Helin , Martin Burger

We describe a new numerical algorithm to obtain high-resolution simulated maps of the Cosmic Microwave Background (CMB), for a broad class of non-Gaussian models. The kind of non-Gaussianity we account for is based on the simple idea that…

Astrophysics · Physics 2009-11-07 Michele Liguori , Sabino Matarrese , Lauro Moscardini

We consider a Bayesian framework for estimating a high-dimensional sparse precision matrix, in which adaptive shrinkage and sparsity are induced by a mixture of Laplace priors. Besides discussing our formulation from the Bayesian…

Machine Learning · Statistics 2018-05-22 Lingrui Gan , Naveen N. Narisetty , Feng Liang

We study the polarisation properties of extragalactic sources at 95 and 150 GHz in the SPTpol 500 deg$^2$ survey. We estimate the polarised power by stacking maps at known source positions, and correct for noise bias by subtracting the mean…

We present constraints on primordial B modes from large angular scale cosmic microwave background polarisation anisotropies measured with the Planck satellite. To remove Galactic polarised foregrounds, we use a Bayesian parametric component…

Cosmology and Nongalactic Astrophysics · Physics 2022-11-30 Roger de Belsunce , Steven Gratton , George Efstathiou

In this paper we present forecasts of the contamination on different shapes of the primordial non-Gaussianity fnl parameter -- detectable on future Cosmic Microwave Background (CMB) high--resolution anisotropy maps -- produced by unresolved…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-12 A. Curto , M. Tucci , J. Gonzalez-Nuevo , L. Toffolatti , E. Martinez-Gonzalez , F. Argueso , A. Lapi , M. Lopez-Caniego

We discuss point sources foregrounds for the MAP experiment. We consider several possible strategies for removing them and we assess how the statistics of the CMB signal are affected by the residual sources. Assuming a power law…

Astrophysics · Physics 2009-11-07 Elena Pierpaoli

The detection of large angular scale $B$-mode in the Cosmic Microwave Background (CMB) polarization signal will open a direct window into not only the primary CMB anisotropies caused by the primordial gravitational waves (PGW) originating…

Cosmology and Nongalactic Astrophysics · Physics 2023-10-26 Divesh Jain , Suvodip Mukherjee , Tirthankar Roy Choudhury

One of the main obstacles for extracting the Cosmic Microwave Background (CMB) from mm/submm observations is the pollution from the main Galactic components: synchrotron, free-free and thermal dust emission. The feasibility of using simple…

Cosmology and Nongalactic Astrophysics · Physics 2016-07-20 H. U. Nørgaard-Nielsen

We propose a novel sparse spectrum approximation of Gaussian process (GP) tailored for Bayesian optimization. Whilst the current sparse spectrum methods provide desired approximations for regression problems, it is observed that this…

Machine Learning · Computer Science 2020-06-09 Ang Yang , Cheng Li , Santu Rana , Sunil Gupta , Svetha Venkatesh

One of the major goals of future cosmic microwave background (CMB) $B$-mode polarization experiments is the detection of primordial gravitational waves through an unbiased measurement of the tensor-to-scalar ratio $r$. Robust detection of…

Cosmology and Nongalactic Astrophysics · Physics 2023-04-26 Divesh Jain , Tirthankar Roy Choudhury , Suvodip Mukherjee , Sourabh Paul

We present a statistical method based on a maximum likelihood approach to constrain the number counts of extragalactic sources below the nominal flux-density limit of continuum imaging surveys. We extract flux densities from a radio map…

Instrumentation and Methods for Astrophysics · Physics 2015-06-16 Ketron Mitchell-Wynne , Mario G. Santos , Jose Afonso , Matt J. Jarvis
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