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In many applications of Bayesian clustering, posterior sampling on the discrete state space of cluster allocations is achieved via Markov chain Monte Carlo (MCMC) techniques. As it is typically challenging to design transition kernels to…

Computation · Statistics 2019-06-14 Masoud Asgharian , Martin Lysy , Vahid Partovi Nia

In Astrophysics, the identification of candidate Globular Clusters through deep, wide-field, single band HST images, is a typical data analytics problem, where methods based on Machine Learning have revealed a high efficiency and…

Instrumentation and Methods for Astrophysics · Physics 2017-10-12 Giuseppe Angora , Massimo Brescia , Giuseppe Riccio , Stefano Cavuoti , Maurizio Paolillo , Thomas H. Puzia

Probabilistic cross-identification has been successfully applied to a number of problems in astronomy from matching simple point sources to associating stars with unknown proper motions and even radio observations with realistic morphology.…

Astrophysics of Galaxies · Physics 2017-06-30 Neil Mallinar , Tamas Budavari , Gerard Lemson

This paper presents a Bayesian method for identification of jump Markov linear system parameters. A primary motivation is to provide accurate quantification of parameter uncertainty without relying on asymptotic in data-length arguments. To…

Methodology · Statistics 2021-02-11 Mark P. Balenzuela , Adrian G. Wills , Christopher Renton , Brett Ninness

A goal of systems biology is to understand the dynamics of intracellular systems. Stochastic chemical kinetic models are often utilized to accurately capture the stochastic nature of these systems due to low numbers of molecules. Collecting…

Computation · Statistics 2015-03-17 Jarad Niemi , Matthew Wheeler

We present brutus, an open source Python package for quickly deriving stellar properties, distances, and reddenings to stars based on grids of stellar models constrained by photometric and astrometric data. We outline the statistical…

Asteroseismology is well-established in astronomy as the gold standard for determining precise and accurate fundamental stellar properties like masses, radii, and ages. Several tools have been developed for asteroseismic analyses but many…

Solar and Stellar Astrophysics · Physics 2021-09-08 Ashley Chontos , Daniel Huber , Maryum Sayeed , Pavadol Yamsiri

Approximate Bayesian Computation (ABC) enables parameter inference for complex physical systems in cases where the true likelihood function is unknown, unavailable, or computationally too expensive. It relies on the forward simulation of…

Cosmology and Nongalactic Astrophysics · Physics 2019-08-13 E. E. O. Ishida , S. D. P. Vitenti , M. Penna-Lima , J. Cisewski , R. S. de Souza , A. M. M. Trindade , E. Cameron , V. C. Busti

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

Disease subtype identification (clustering) is an important problem in biomedical research. Gene expression profiles are commonly utilized to infer disease subtypes, which often lead to biologically meaningful insights into disease. Despite…

Methodology · Statistics 2016-09-27 Jiehuan Sun , Joshua L. Warren , Hongyu Zhao

In the current panorama of large surveys, the vast amount of data obtained with different methods, data types, formats, and stellar samples, is making an efficient use of the available information difficult. The Survey of Surveys is a…

We describe the development of a new toolkit for data analysis. The analysis package is based on Bayes' Theorem, and is realized with the use of Markov Chain Monte Carlo. This gives access to the full posterior probability distribution.…

Data Analysis, Statistics and Probability · Physics 2015-05-13 Allen Caldwell , Daniel Kollar , Kevin Kroeninger

Stochastic systems in biology often exhibit substantial variability within and between cells. This variability, as well as having dramatic functional consequences, provides information about the underlying details of the system's behaviour.…

Quantitative Methods · Quantitative Biology 2015-11-09 Iain G. Johnston

BANYAN $\Sigma$ is a new Bayesian algorithm to identify members of young stellar associations within 150 pc of the Sun. It includes 27 young associations with ages in the range ~1-800 Myr, modelled with multivariate Gaussians in…

We describe Bayesian Layers, a module designed for fast experimentation with neural network uncertainty. It extends neural network libraries with drop-in replacements for common layers. This enables composition via a unified abstraction…

Machine Learning · Computer Science 2019-03-07 Dustin Tran , Michael W. Dusenberry , Mark van der Wilk , Danijar Hafner

Spectrum denoising is an important procedure for large-scale spectroscopical surveys. This work proposes a novel stellar spectrum denoising method based on deep Bayesian modeling. The construction of our model includes a prior distribution…

Instrumentation and Methods for Astrophysics · Physics 2021-09-08 Xin Kang , Shiyuan He , Yanxia Zhang

In cryo-electron microscopy (EM), molecular structures are determined from large numbers of projection images of individual particles. To harness the full power of this single-molecule information, we use the Bayesian inference of EM…

Biomolecules · Quantitative Biology 2018-01-17 Pilar Cossio , David Rohr , Fabio Baruffa , Markus Rampp , Volker Lindenstruth , Gerhard Hummer

We describe AMUSE, the Astrophysical Multipurpose Software Environment, a programming framework designed to manage multi-scale, multi-physics simulations in a hierarchical, extensible, and internally consistent way. Constructed as a…

Instrumentation and Methods for Astrophysics · Physics 2015-03-19 Stephen McMillan , Simon Portegies Zwart , Arjen van Elteren , Alfred Whitehead

Bayesian statistics and Markov Chain Monte Carlo (MCMC) algorithms have found their place in the field of Cosmology. They have become important mathematical and numerical tools, especially in parameter estimation and model comparison. In…

Cosmology and Nongalactic Astrophysics · Physics 2021-07-02 Luis E. Padilla , Luis O. Tellez , Luis A. Escamilla , J. Alberto Vazquez

Clustering procedures typically estimate which data points are clustered together, a quantity of primary importance in many analyses. Often used as a preliminary step for dimensionality reduction or to facilitate interpretation, finding…

Methodology · Statistics 2017-12-06 Ryan Giordano , Runjing Liu , Nelle Varoquaux , Michael I. Jordan , Tamara Broderick
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