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Approximate Bayesian computation (ABC) using a sequential Monte Carlo method provides a comprehensive platform for parameter estimation, model selection and sensitivity analysis in differential equations. However, this method, like other…

Machine Learning · Statistics 2015-07-21 Sanmitra Ghosh , Srinandan Dasmahapatra , Koushik Maharatna

We present a hierarchical Bayesian inference approach to estimating the structural properties and the phase space center of a globular cluster (GC) given the spatial and kinematic information of its stars based on lowered isothermal cluster…

Astrophysics of Galaxies · Physics 2023-11-21 Robin Y. Wen , Joshua S. Speagle , Jeremy J. Webb , Gwendolyn M. Eadie

Stellar parameters are required in a variety of contexts, ranging from the characterisation of exoplanets to Galactic archaeology. Among them, the age of stars cannot be directly measured, while the mass and radius can be measured in some…

Solar and Stellar Astrophysics · Physics 2020-10-14 Yveline Lebreton , Daniel Roy Reese

Bi-clustering is a useful approach in analyzing biological data when observations come from heterogeneous groups and have a large number of features. We outline a general Bayesian approach in tackling bi-clustering problems in moderate to…

Applications · Statistics 2021-02-11 Han Yan , Jiexing Wu , Yang Li , Jun S. Liu

The posterior probability distribution for a set of model parameters encodes all that the data have to tell us in the context of a given model; it is the fundamental quantity for Bayesian parameter estimation. In order to infer the…

Instrumentation and Methods for Astrophysics · Physics 2015-06-16 Rupert Allison , Joanna Dunkley

Connecting star and planet properties in a single model is not straightforward. Stellar population synthesis models are key to explore combined statistical constraints from stars and planets observations. The Besan\c{c}on stellar population…

Earth and Planetary Astrophysics · Physics 2019-02-21 Cabral Nahuel , Nadège Lagarde , Céline Reylé , Aurélie Guilbert-Lepoutre , Annie C. Robin

In this paper authors present a general methodology for age dependent reliability analysis of degrading or ageing systems, structures and components.The methodology is based on Bayesian methods and inference, its ability to incorporate…

Applications · Statistics 2012-10-19 Robertas Alzbutas , Tomas Iešmantas

Geostatistical methods are powerful tools for understanding the spatial structure of the metallicity distribution of galaxies, and enable construction of accurate predictive models of the 2D metallicity distribution. However, so far these…

Astrophysics of Galaxies · Physics 2024-02-15 Benjamin Metha , Michele Trenti , Andrew Battisti , Tingjin Chu

The original formulation of BEAMS - Bayesian Estimation Applied to Multiple Species - showed how to use a dataset contaminated by points of multiple underlying types to perform unbiased parameter estimation. An example is cosmological…

Instrumentation and Methods for Astrophysics · Physics 2016-03-02 James Newling , Bruce. A. Bassett , Renée Hlozek , Martin Kunz , Mathew Smith , Melvin Varughese

The stellar inclination angle-the angle between the rotation axis of a star and our line of sight-provides valuable information in many different areas, from the characterisation of the geometry of exoplanetary and eclipsing binary systems,…

There is a considerable body of work on data cleaning which employs various principles to rectify erroneous data and transform a dirty dataset into a cleaner one. One of prevalent approaches is probabilistic methods, including Bayesian…

Artificial Intelligence · Computer Science 2023-11-14 Jianbin Qin , Sifan Huang , Yaoshu Wang , Jing Zhu , Yifan Zhang , Yukai Miao , Rui Mao , Makoto Onizuka , Chuan Xiao

The Basel Stellar Library (BaSeL models) is constituted of the merging of various synthetic stellar spectra libraries, with the purpose of giving the most comprehensive coverage of stellar parameters. It has been corrected for systematic…

We present an introduction to some concepts of Bayesian data analysis in the context of atomic physics. Starting from basic rules of probability, we present the Bayes' theorem and its applications. In particular we discuss about how to…

Data Analysis, Statistics and Probability · Physics 2024-01-30 Martino Trassinelli

We present an updated release of the BaSTI (a Bag of Stellar Tracks and Isochrones) stellar model and isochrone library for a solar scaled heavy element distribution. The main input physics changed from the previous BaSTI release include…

Astrophysics of Galaxies · Physics 2018-04-11 S. L. Hidalgo , A. Pietrinferni , S. Cassisi , M. Salaris , A. Mucciarelli , A. Savino , A. Aparicio , V. Silva Aguirre , K. Verma

Crystallization is a key step in macromolecular structure determination by crystallography. While a robust theoretical treatment of the process is available, due to the complexity of the system, the experimental process is still largely one…

Biomolecules · Quantitative Biology 2016-08-02 Irem Altan , Patrick Charbonneau , Edward H. Snell

Asteroseismology has the capability of delivering stellar properties which would otherwise be inaccessible, such as radii, masses and thus ages of stars. When coupling this information with classical determinations of stellar parameters,…

Solar and Stellar Astrophysics · Physics 2015-06-22 Luca Casagrande

Clustering of proteins is of interest in cancer cell biology. This article proposes a hierarchical Bayesian model for protein (variable) clustering hinging on correlation structure. Starting from a multivariate normal likelihood, we enforce…

Computation · Statistics 2022-02-09 Riddhi Pratim Ghosh , Arnab Kumar Maity , Mohsen Pourahmadi , Bani K. Mallick

Approximate Bayesian Computation (ABC) methods have gained in their popularity over the last decade because they expand the horizon of Bayesian parameter inference methods to the range of models for which only forward simulation is…

Computation · Statistics 2016-08-05 Majid K. Vakilzadeh , James L. Beck , Thomas Abrahamsson

[abridged] Inversion techniques are the most powerful methods to obtain information about the thermodynamical and magnetic properties of solar and stellar atmospheres. In the last years, we have witnessed the development of highly…

Astrophysics · Physics 2009-11-13 A. Asensio Ramos , M. J. Martinez Gonzalez , J. A. Rubino-Martin

There are many pertinent open issues in the area of star and planet formation. Large statistical samples of young stars across star-forming regions are needed to trigger a breakthrough in our understanding, but most optical studies are…

Solar and Stellar Astrophysics · Physics 2015-06-12 Geert Barentsen , Jorick S. Vink , Janet E. Drew , Stuart E. Sale