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Bayesian latent space models offer a principled approach to network representation, but rely on correct specification of both geometry and link function. Real-world networks often violate these assumptions, exhibiting geometric mismatch and…

Machine Learning · Statistics 2026-05-20 Aldric Labarthe

In a broad class of cosmological models where spacetime is described by a pseudo-Riemannian manifold, photons propagate along null geodesics, and their number is conserved, upcoming Gravitational Wave (GW) observations can be combined with…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-18 William Giarè , Jonathan Betts , Carsten van de Bruck , Eleonora Di Valentino

We develop a Bayesian approach called Bayesian projected calibration to address the problem of calibrating an imperfect computer model using observational data from a complex physical system. The calibration parameter and the physical…

Methodology · Statistics 2019-02-08 Fangzheng Xie , Yanxun Xu

We present a new blind formulation of the Cosmic Microwave Background (CMB) inference problem. The approach relies on a phenomenological model of the multi-frequency microwave sky without the need for physical models of the individual…

Cosmology and Nongalactic Astrophysics · Physics 2016-03-30 Flavien Vansyngel , Benjamin D. Wandelt , Jean-François Cardoso , Karim Benabed

Bayesian geophysical basin modeling (BGBM) methodology is an interdisciplinary workflow that incorporates data, geological expertise, and physical processes through Bayesian inference in sedimentary basin models. Its application culminates…

Geophysics · Physics 2023-02-21 Josue Fonseca , Anshuman Pradhan , Tapan Mukerji

An approach to land surface temperature (LST) estimation that relies upon Bayesian inference has been tested against multiband infrared radiometric imagery from the Terra MODIS instrument. Bayesian LST estimators are shown to reproduce…

Data Analysis, Statistics and Probability · Physics 2010-01-22 J. A. Morgan

Scientific machine learning increasingly uses spectral methods to understand physical systems. Current spectral learning approaches provide only point estimates without uncertainty quantification, limiting their use in safety-critical…

Machine Learning · Computer Science 2025-09-17 Mohammad Nooraiepour

A main purpose of spatial data analysis is to predict the objective variable for the unobserved locations. Although Geographically Weighted Regression (GWR) is often used for this purpose, estimation instability proves to be an issue. To…

Methodology · Statistics 2024-02-29 Toshiki Sakai , Jun Tsuchida , Hiroshi Yadohisa

The coded-mask spectrometer-telescope SPI on board the INTEGRAL observatory records photons in the energy range between 20 and 8000 keV. A robust and versatile method to model the dominating instrumental background (BG) radiation is…

High Energy Astrophysical Phenomena · Physics 2019-06-19 Thomas Siegert , Roland Diehl , Christoph Weinberger , Moritz M. M. Pleintinger , Jochen Greiner , Xiaoling Zhang

We propose a multistage method for making inference at all levels of a Bayesian hierarchical model (BHM) using natural data partitions to increase efficiency by allowing computations to take place in parallel form using software that is…

Methodology · Statistics 2021-09-23 Devin S. Johnson , Brian M. Brost , Mevin B. Hooten

We describe and implement an exact, flexible, and computationally efficient algorithm for joint component separation and CMB power spectrum estimation, building on a Gibbs sampling framework. Two essential new features are 1) conditional…

Astrophysics · Physics 2010-11-11 H. K. Eriksen , J. B. Jewell , C. Dickinson , A. J. Banday , K. M. Gorski , C. R. Lawrence

We present a method, based on Bayesian statistics, to fit the dust emission parameters in the far-infrared and submillimeter wavelengths. The method estimates the dust temperature and spectral emissivity index, plus their relationship,…

Astrophysics of Galaxies · Physics 2015-06-15 M. Veneziani , F. Piacentini , A. Noriega-Crespo , S. Carey , R. Paladini , D. Paradis

A new non-ergodic ground-motion model (GMM) for effective amplitude spectral ($EAS$) values for California is presented in this study. $EAS$, which is defined in Goulet et al. (2018), is a smoothed rotation-independent Fourier amplitude…

Applications · Statistics 2021-06-25 Grigorios Lavrentiadis , Norman A. Abrahamson , Nicolas M. Kuehn

Bayesian imaging inverse problems in astrophysics and cosmology remain challenging, particularly in low-data regimes, due to complex forward operators and the frequent lack of well-motivated priors for non-Gaussian signals. In this paper,…

Instrumentation and Methods for Astrophysics · Physics 2026-02-06 Sébastien Pierre , Erwan Allys , Pablo Richard , Roman Soletskyi , Alexandros Tsouros

We present the Planck Sky Model (PSM), a parametric model for the generation of all-sky, few arcminute resolution maps of sky emission at submillimetre to centimetre wavelengths, in both intensity and polarisation. Several options are…

Modern observatories are designed to deliver increasingly detailed views of astrophysical signals. To fully realize the potential of these observations, principled data-analysis methods are required to effectively separate and reconstruct…

Instrumentation and Methods for Astrophysics · Physics 2025-11-19 Matteo Guardiani , Vincent Eberle , Margret Westerkamp , Julian Rüstig , Philipp Frank , Torsten Enßlin

In order to handle large data sets omnipresent in modern science, efficient compression algorithms are necessary. Here, a Bayesian data compression (BDC) algorithm that adapts to the specific measurement situation is derived in the context…

Data Analysis, Statistics and Probability · Physics 2021-03-01 Johannes Harth-Kitzerow , Reimar Leike , Philipp Arras , Torsten A. Enßlin

The problem of the detection and mapping of a stochastic gravitational wave background (SGWB), either of cosmological or astrophysical origin, bears a strong semblance to the analysis of CMB anisotropy and polarization. The basic statistic…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Sanjit Mitra , Sanjeev Dhurandhar , Tarun Souradeep , Albert Lazzarini , Vuk Mandic , Sukanta Bose , Stefan Ballmer

This paper addresses the statistical estimation of Gaussian Mixture Models (GMMs) with unknown diagonal covariances from independent and identically distributed samples. We employ the Beurling-LASSO (BLASSO), a convex optimization framework…

Statistics Theory · Mathematics 2026-05-14 Romane Giard , Yohann de Castro , Clément Marteau

With a Bayesian Gaussian regression approach, a systematic method for analyzing a storage ring's beam position monitor (BPM) system requirements has been developed. The ultimate performance of a ring-based accelerator, based on brightness…

Accelerator Physics · Physics 2019-07-15 Yongjun Li , Yue Hao , Weixing Cheng , Robert Rainer
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