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"Approximate Bayesian Computation" (ABC) represents a powerful methodology for the analysis of complex stochastic systems for which the likelihood of the observed data under an arbitrary set of input parameters may be entirely…

Instrumentation and Methods for Astrophysics · Physics 2015-06-04 E. Cameron , A. N. Pettitt

A method is developed for fitting theoretically predicted astronomical spectra to an observed spectrum. Using a hierarchical Bayesian principle, the method takes both systematic and statistical measurement errors into account, which has not…

Astrophysics · Physics 2008-11-26 Z. Shkedy , L. Decin , G. Molenberghs , C. Aerts

A key aspect in the determination of stellar properties is the comparison of observational constraints with predictions from stellar models. Asteroseismic Inference on a Massive Scale (AIMS) is an open source code that uses Bayesian…

$\texttt{bayes_spec}$ is a Bayesian spectral line modeling framework for astrophysics. Given a user-defined model and a spectral line dataset, $\texttt{bayes_spec}$ enables inference of the model parameters through different numerical…

Instrumentation and Methods for Astrophysics · Physics 2024-11-05 Trey V. Wenger

$Context$. Gaia Second Data Release provides precise astrometry and photometry for more than 1.3 billion sources. This catalog opens a new era concerning the characterization of open clusters and test stellar models, paving the way for a…

A deep understanding of the Milky Way galaxy, its formation and evolution requires observations of huge numbers of stars. Stellar photometry, therefore, provides an economical method to obtain intrinsic stellar parameters. With the addition…

Solar and Stellar Astrophysics · Physics 2019-01-30 Louise M. Howes , Lennart Lindegren , Sofia Feltzing , Ross P. Church , Thomas Bensby

Context. The analysis of luminosity and mass distributions of young stellar clusters is essential to understanding the star-formation process. However, the gas and dust left over by this process extinct the light of the newborn stars and…

Instrumentation and Methods for Astrophysics · Physics 2021-06-02 J. Olivares , H. Bouy , L. M. Sarro , E. Moraux , A. Berihuete , P. A. B. Galli , N. Miret-Roig

These notes aim at presenting an overview of Bayesian statistics, the underlying concepts and application methodology that will be useful to astronomers seeking to analyse and interpret a wide variety of data about the Universe. The level…

Cosmology and Nongalactic Astrophysics · Physics 2017-01-09 Roberto Trotta

Stellar evolution theory has been extraordinarily successful at explaining the different phases under which stars form, evolve and die. While the strongest constraints have traditionally come from binary stars, the advent of…

Astrophysics of Galaxies · Physics 2016-07-12 D. Valls-Gabaud

Clustering is widely studied in statistics and machine learning, with applications in a variety of fields. As opposed to classical algorithms which return a single clustering solution, Bayesian nonparametric models provide a posterior over…

Methodology · Statistics 2019-02-11 Sara Wade , Zoubin Ghahramani

In an era of large spectroscopic surveys of stars and big data, sophisticated statistical methods become more and more important in order to infer fundamental stellar parameters such as mass and age. Bayesian techniques are powerful methods…

Solar and Stellar Astrophysics · Physics 2017-02-01 F. R. N. Schneider , N. Castro , L. Fossati , N. Langer , A. de Koter

Asteroseismology is an exceptional tool for studying stars by using the properties of observed modes of oscillation. So far the process of performing an asteroseismic analysis of a star has remained somewhat esoteric and inaccessible to…

Stellar population synthesis techniques for predicting the observable light emitted by a stellar population have extensive applications in numerous areas of astronomy. However, accurate predictions for small populations of young stars, such…

Astrophysics of Galaxies · Physics 2015-08-06 Mark R. Krumholz , Michele Fumagalli , Robert L. da Silva , Theodore Rendahl , Jonathan Parra

Starburst99 is a comprehensive set of model predictions for spectrophotometric and related properties of galaxies with active star formation. The models are an improved and extended version of the data set previously published by Leitherer…

Bayesian inference is often used in cosmology and astrophysics to derive constraints on model parameters from observations. This approach relies on the ability to compute the likelihood of the data given a choice of model parameters. In…

Cosmology and Nongalactic Astrophysics · Physics 2015-09-16 Joel Akeret , Alexandre Refregier , Adam Amara , Sebastian Seehars , Caspar Hasner

We present the first version release of SESAMME, a public, Python-based full spectrum fitting tool for Simultaneous Estimates of Star-cluster Age, Metallicity, Mass, and Extinction. SESAMME compares an input spectrum of a star cluster to a…

Astrophysics of Galaxies · Physics 2023-10-17 Logan H. Jones , Svea Hernandez , Linda J. Smith , Bethan L. James , Alessandra Aloisi , Søren Larsen

Background: Many mathematical models have now been employed across every area of systems biology. These models increasingly involve large numbers of unknown parameters, have complex structure which can result in substantial evaluation time…

Molecular Networks · Quantitative Biology 2018-01-15 Ian Vernon , Junli Liu , Michael Goldstein , James Rowe , Jen Topping , Keith Lindsey

Owing to the remarkable photometric precision of space observatories like Kepler, stellar and planetary systems beyond our own are now being characterized en masse for the first time. These characterizations are pivotal for endeavors such…

Solar and Stellar Astrophysics · Physics 2017-04-03 Earl P. Bellinger , George C. Angelou , Saskia Hekker , Sarbani Basu , Warrick Ball , Elisabeth Guggenberger

Markov Chain Monte Carlo based Bayesian data analysis has now become the method of choice for analyzing and interpreting data in almost all disciplines of science. In astronomy, over the last decade, we have also seen a steady increase in…

Instrumentation and Methods for Astrophysics · Physics 2017-08-30 Sanjib Sharma

Star clusters have long been central to the study of stellar evolution due to their chemically and chronologically homogeneous populations. Asteroseismology, the analysis of stellar oscillations and pulsations, provides precise information…

Solar and Stellar Astrophysics · Physics 2025-12-25 Carli Mankowski , Jamie Tayar , Cassidy Martin