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Due to the high dimensionality or multimodality that is common in modern astronomy, sampling Bayesian posteriors can be challenging. Several publicly available codes based on different sampling algorithms can solve these complex models, but…

Instrumentation and Methods for Astrophysics · Physics 2024-07-16 Sheng Jin , Wenxin Jiang , Dong-Hong Wu

Many exoplanetary systems are multiplanet configurations whose long-term dynamics are governed by N-body gravitational interactions. Consequently, their detection signatures cannot be adequately described by Keplerian orbits. Accurately…

Earth and Planetary Astrophysics · Physics 2026-04-13 Hong-Fei Jia , Sheng Jin , Dong-Hong Wu , Shang-Fei Liu

NEMESISPY is a Python package developed to perform parametric atmospheric modelling and radiative transfer calculation for the retrievals of exoplanetary spectra. It is a recent development of the well-established Fortran NEMESIS library…

Earth and Planetary Astrophysics · Physics 2024-07-10 Jingxuan Yang , Juan Alday , Patrick Irwin

We describe a Bayesian rejection sampling algorithm designed to efficiently compute posterior distributions of orbital elements for data covering short fractions of long-period exoplanet orbits. Our implementation of this method, Orbits for…

(abridged) We develop Bayesian methods and detection criteria for orbital fitting, and revise the detectability of exoplanets in light of the in-flight properties of Gaia. Limiting ourselves to one-planet systems as a first step of the…

Earth and Planetary Astrophysics · Physics 2018-06-13 Piero Ranalli , David Hobbs , Lennart Lindegren

Radial velocity (RV) planet searches are increasingly finding planets with small velocity amplitudes, with long orbital periods, or in multiple planet systems. Bayesian inference has the potential to improve the interpretation of existing…

Astrophysics · Physics 2007-05-23 Eric B. Ford , Philip C. Gregory

In this work, we propose a new flow-matching Markov chain Monte Carlo (FM-MCMC) algorithm for estimating the orbital parameters of exoplanetary systems, especially for those only one exoplanet is involved. Compared to traditional methods…

Earth and Planetary Astrophysics · Physics 2025-11-10 Bo Liang , Hanlin Song , Chang Liu , Tianyu Zhao , Yuxiang Xu , Zihao Xiao , Manjia Liang , Minghui Du , Wei-Liang Qian , Li-e Qiang , Peng Xu , Ziren Luo

Spectroscopy of exoplanetary atmospheres has become a well established method for the characterisation of extrasolar planets. We here present a novel inverse retrieval code for exoplanetary atmospheres. TauRex (Tau Retrieval for Exoplanets)…

Earth and Planetary Astrophysics · Physics 2015-06-22 Ingo P. Waldmann , Giovanna Tinetti , Marco Rocchetto , Emma J. Barton , Sergey N. Yurchenko , Jonathan Tennyson

We present dynesty, a public, open-source, Python package to estimate Bayesian posteriors and evidences (marginal likelihoods) using Dynamic Nested Sampling. By adaptively allocating samples based on posterior structure, Dynamic Nested…

Instrumentation and Methods for Astrophysics · Physics 2020-02-12 Joshua S Speagle

The Ariel mission, due to launch in 2029, will obtain spectroscopic information for 1000 exoplanets, providing an unprecedented opportunity for comparative exoplanetology. Retrieval codes - parameteric atmospheric models coupled with an…

We present a Bayesian inference methodology for the estimation of orbital parameters on single-line spectroscopic binaries with astrometric data, based on the No-U-Turn sampler Markov chain Monte Carlo algorithm. Our approach is designed to…

Solar and Stellar Astrophysics · Physics 2022-04-27 Miguel Videla , Rene A. Mendez , Ruben M. Claveria , Jorge F. Silva , Marcos E. Orchard

This paper introduces the Bayesian Inference Engine (BIE), a general parallel, optimised software package for parameter inference and model selection. This package is motivated by the analysis needs of modern astronomical surveys and the…

Instrumentation and Methods for Astrophysics · Physics 2015-06-04 Martin D. Weinberg

We introduce EXOFIT, a Bayesian tool for estimating orbital parameters of extrasolar planets from radial velocity measurements. EXOFIT can search for either one or two planets at present. EXOFIT employs Markov Chain Monte Carlo method…

Solar and Stellar Astrophysics · Physics 2009-07-22 Sreekumar T. Balan , Ofer Lahav

In recent years, methods for Bayesian inference have been widely used in many different problems in physics where detection and characterization are necessary. Data analysis in gravitational-wave astronomy is a prime example of such a case.…

Instrumentation and Methods for Astrophysics · Physics 2023-10-11 Nikolaos Karnesis , Michael L. Katz , Natalia Korsakova , Jonathan R. Gair , Nikolaos Stergioulas

Retrieving the physical parameters from spectroscopic observations of exoplanets is key to understanding their atmospheric properties. Exoplanetary atmospheric retrievals are usually based on approximate Bayesian inference and rely on…

Earth and Planetary Astrophysics · Physics 2023-04-19 Malavika Vasist , François Rozet , Olivier Absil , Paul Mollière , Evert Nasedkin , Gilles Louppe

We introduce zeus, a well-tested Python implementation of the Ensemble Slice Sampling (ESS) method for Bayesian parameter inference. ESS is a novel Markov chain Monte Carlo (MCMC) algorithm specifically designed to tackle the computational…

Instrumentation and Methods for Astrophysics · Physics 2021-10-05 Minas Karamanis , Florian Beutler , John A. Peacock

The two most successful methods for exoplanet detection rely on the detection of planetary signals in photometric and radial velocity time-series. This depends on numerical techniques that exploit the synergy between data and theory to…

Earth and Planetary Astrophysics · Physics 2021-11-23 Oscar Barragán , Suzanne Aigrain , Vinesh M. Rajpaul , Norbert Zicher

Bayesian inference in biological modeling commonly relies on Markov chain Monte Carlo (MCMC) sampling of a multidimensional and non-Gaussian posterior distribution that is not analytically tractable. Here, we present the implementation of a…

In the 20+ years of Doppler observations of stars, scientists have uncovered a diverse population of extrasolar multi-planet systems. A common technique for characterizing the orbital elements of these planets is Markov chain Monte Carlo…

Earth and Planetary Astrophysics · Physics 2015-06-18 Benjamin E. Nelson , Eric B. Ford , Matthew J. Payne

We describe work in progress by a collaboration of astronomers and statisticians developing a suite of Bayesian data analysis tools for extrasolar planet (exoplanet) detection, planetary orbit estimation, and adaptive scheduling of…

Instrumentation and Methods for Astrophysics · Physics 2018-05-11 Thomas J. Loredo , James O. Berger , David F. Chernoff , Merlise A. Clyde , Bin Liu
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