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Modern imaging techniques heavily rely on Bayesian statistical models to address difficult image reconstruction and restoration tasks. This paper addresses the objective evaluation of such models in settings where ground truth is…

Image and Video Processing · Electrical Eng. & Systems 2026-05-29 Tom Sprunck , Marcelo Pereyra , Tobias Liaudat

Data from radio interferometers provide a substantial challenge for statisticians. It is incomplete, noise-dominated and originates from a non-trivial measurement process. The signal is not only corrupted by imperfect measurement devices…

Instrumentation and Methods for Astrophysics · Physics 2020-11-11 Philipp Arras , Jakob Knollmüller , Henrik Junklewitz , Torsten A. Enßlin

Approximate Bayesian computation (ABC) is a widely used inference method in Bayesian statistics to bypass the point-wise computation of the likelihood. In this paper we develop theoretical bounds for the distance between the statistics used…

Statistics Theory · Mathematics 2019-01-03 James Ridgway

The use of mobile robotics in radioactive source seeking has become an important part of modern radiation-safety practices, supporting timely mitigation of contamination risks and helping protect public health. However, measuring radiation…

Applied Physics · Physics 2026-05-15 Lysander Miller , Joshua Keene , Jeremy M. C. Brown , Airlie Chapman

Astronomical images in the Poisson regime are typically characterized by a spatially varying cosmic background, large variety of source morphologies and intensities, data incompleteness, steep gradients in the data, and few photon counts…

Instrumentation and Methods for Astrophysics · Physics 2012-02-03 Fabrizia Guglielmetti , Rainer Fischer , Volker Dose

The uncertainty of the sensing target brings great challenge to the beamforming design of the integrated sensing and communication (ISAC) system. To address this issue, we model the scattering coefficient and azimuth angle of the target as…

Signal Processing · Electrical Eng. & Systems 2025-02-12 Zongyao Zhao , Zhenyu Liu , Wei Dai , Xinke Tang , Xiao-Ping Zhang , Yuhan Dong

New telescopes like the Square Kilometre Array (SKA) will push into a new sensitivity regime and expose systematics, such as direction-dependent effects, that could previously be ignored. Current methods for handling such systematics rely…

Instrumentation and Methods for Astrophysics · Physics 2015-05-22 Michelle Lochner , Iniyan Natarajan , Jonathan T. L. Zwart , Oleg Smirnov , Bruce A. Bassett , Nadeem Oozeer , Martin Kunz

In the event of a nuclear accident, or the detonation of a radiological dispersal device, quickly locating the source of the accident or blast is important for emergency response and environmental decontamination. At a specified time after…

Machine Learning · Computer Science 2025-02-26 Christopher Edwards , Ralph C Smith

In this paper, we explore the determination of a spectral emissivity profile that closely matches real data, intended for use as an initial guess and/or a-priori information in a retrieval code. Our approach employs a Bayesian method that…

Applications · Statistics 2024-07-11 Luca Sgheri , Cristina Sgattoni , Chiara Zugarini

In this paper, we aim to design robust estimation techniques based on the compound-Gaussian (CG) process and adapted for calibration of radio interferometers. The motivation beyond this is due to the presence of outliers leading to an…

Applications · Statistics 2018-07-31 Virginie Ollier , Mohammed Nabil El Korso , André Ferrari , Rémy Boyer , Pascal Larzabal

Inferring sky surface brightness distributions from noisy interferometric data in a principled statistical framework has been a key challenge in radio astronomy. In this work, we introduce Imaging for Radio Interferometry with Score-based…

Instrumentation and Methods for Astrophysics · Physics 2025-01-07 Noé Dia , M. J. Yantovski-Barth , Alexandre Adam , Micah Bowles , Laurence Perreault-Levasseur , Yashar Hezaveh , Anna Scaife

Radio map estimation (RME) is the problem of inferring the value of a certain metric (e.g. signal power) across an area of interest given a collection of measurements. While most works tackle this problem from a purely non-Bayesian…

Signal Processing · Electrical Eng. & Systems 2025-08-11 Tien Ngoc Ha , Daniel Romero

Cross-matching catalogues from radio surveys to catalogues of sources at other wavelengths is extremely hard, because radio sources are often extended, often consist of several spatially separated components, and often no radio component is…

Instrumentation and Methods for Astrophysics · Physics 2020-08-13 Dongwei Fan , Tamás Budavári , Ray P. Norris , Amitabh Basu

We consider filters for the detection and extraction of compact sources on a background. We make a one-dimensional treatment (though a generalization to two or more dimensions is possible) assuming that the sources have a Gaussian profile…

Astrophysics · Physics 2009-11-10 M. Lopez-Caniego , D. Herranz , R. B. Barreiro , J. L. Sanz

The problem of blind identification of channel codes at a receiver involves identifying a code chosen by a transmitter from a known code-family, by observing the transmitted codewords through the channel. Most existing approaches for…

Information Theory · Computer Science 2026-03-04 Pramod Singh , Prasad Krishnan , Arti Yardi

We analyze the fundamental resolution of incoherent optical point sources from the perspective of a quantum detection problem: deciding whether the optical field on the image plane is generated by one source or two weaker sources with…

Quantum Physics · Physics 2019-11-07 Xiao-Ming Lu , Ranjith Nair , Mankei Tsang

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

Detection of B-mode polarization of the cosmic microwave background (CMB) radiation is one of the frontiers of observational cosmology. Because they are an order of magnitude fainter than E-modes, it is quite a challenge to detect B-modes.…

Cosmology and Nongalactic Astrophysics · Physics 2013-01-23 Ata Karakci , P. M. Sutter , Le Zhang , Emory F. Bunn , Andrei Korotkov , Peter Timbie , Gregory S. Tucker , Benjamin D. Wandelt

For linear models with a diverging number of parameters, it has recently been shown that modified versions of Bayesian information criterion (BIC) can identify the true model consistently. However, in many cases there is little…

Methodology · Statistics 2011-07-26 Heng Lian

One of the biggest problems faced by current and next-generation astronomical surveys is trying to produce large numbers of accurate cross identifications across a range of wavelength regimes with varying data quality and positional…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-13 Isaac G. Roseboom , Seb Oliver , David Parkinson , Mattia Vaccari