Mining gravitational-wave catalogs to understand binary stellar evolution: A new hierarchical Bayesian framework

We present a hierarchical Bayesian framework for the selection of force fields in molecular dynamics (MD) simulations. The framework associates the variability of the optimal parameters of the MD potentials under different environmental conditions with the corresponding variability in experimental data. The high computational cost associated with the hierarchical Bayesian framework is reduced by orders of magnitude through a parallelized Transitional Markov Chain Monte Carlo method combined with the Laplace Asymptotic Approximation. The suitability of the hierarchical approach is demonstrated by performing MD simulations with prescribed parameters to obtain data for transport coefficients under different conditions, which are then used to infer and evaluate the parameters of the MD model. We demonstrate the selection of MD models based on experimental data and verify that the hierarchical model can accurately quantify the uncertainty across experiments; improve the posterior probability density function estimation of the parameters, thus, improve predictions on future experiments; identify the most plausible force field to describe the underlying structure of a given dataset. The framework and associated software are applicable to a wide range of nanoscale simulations associated with experimental data with a hierarchical structure.

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The stellar graveyard

Gravitational-Wave Astronomy ◽

10.1093/oso/9780198568032.003.0009 ◽

2019 ◽

pp. 177-206

Author(s):

Nils Andersson

Keyword(s):

Black Holes ◽

General Relativity ◽

Neutron Stars ◽

Gravitational Wave ◽

Stellar Evolution ◽

White Dwarfs ◽

Supermassive Black Holes ◽

Compact Objects ◽

Fermi Gases ◽

The 1950S

This chapter introduces the different classes of compact objects—white dwarfs, neutron stars, and black holes—that are relevant for gravitational-wave astronomy. The ideas are placed in the context of developing an understanding of the likely endpoint(s) of stellar evolution. Key ideas like Fermi gases and the Chandrasekhar mass are discussed, as is the emergence of general relativity as a cornerstone of astrophysics in the 1950s. Issues associated with different formation channels for, in particular, black holes are considered. The chapter ends with a discussion of the supermassive black holes that are found at the centre of galaxies.

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A hierarchical Bayesian framework to infer the progression level to diabetes based on deficient clinical data

Computers in Biology and Medicine ◽

10.1016/j.compbiomed.2014.04.017 ◽

2014 ◽

Vol 50 ◽

pp. 107-115 ◽

Cited By ~ 1

Author(s):

Teruaki Watabe ◽

Yoshiyasu Okuhara ◽

Yusuke Sagara

Keyword(s):

Clinical Data ◽

Bayesian Framework ◽

Hierarchical Bayesian

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Reducing the uncertainty of time-varying hydrological model parameters using spatial coherence within a hierarchical Bayesian framework

Journal of Hydrology ◽

10.1016/j.jhydrol.2019.123927 ◽

2019 ◽

Vol 577 ◽

pp. 123927 ◽

Cited By ~ 3

Author(s):

Zhengke Pan ◽

Pan Liu ◽

Shida Gao ◽

Lei Cheng ◽

Jie Chen ◽

...

Keyword(s):

Hydrological Model ◽

Spatial Coherence ◽

Bayesian Framework ◽

Model Parameters ◽

Time Varying ◽

Hierarchical Bayesian

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Hierarchical Bayesian Framework for Bus Dwell Time Prediction

IEEE Transactions on Intelligent Transportation Systems ◽

10.1109/tits.2020.2979390 ◽

2020 ◽

pp. 1-10

Author(s):

Isaac K. Isukapati ◽

Conor Igoe ◽

Eli Bronstein ◽

Viraj Parimi ◽

Stephen F. Smith

Keyword(s):

Dwell Time ◽

Bayesian Framework ◽

Hierarchical Bayesian ◽

Time Prediction

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Stochastic gravitational wave background anisotropies in the mHz band: astrophysical dependencies

Monthly Notices of the Royal Astronomical Society Letters ◽

10.1093/mnrasl/slz182 ◽

2019 ◽

Vol 493 (1) ◽

pp. L1-L5

Author(s):

Giulia Cusin ◽

Irina Dvorkin ◽

Cyril Pitrou ◽

Jean-Philippe Uzan

Keyword(s):

Black Hole ◽

Power Spectrum ◽

Gravitational Wave ◽

Stellar Evolution ◽

Strong Dependence ◽

Angular Power Spectrum ◽

Orbital Parameters ◽

Wide Range ◽

Self Consistent ◽

Gravitational Wave Background

ABSTRACT We show that the anisotropies of the astrophysical stochastic gravitational wave background in the mHz band have a strong dependence on the modelling of galactic and sub-galactic physics. We explore a wide range of self-consistent astrophysical models for stellar evolution and for the distribution of orbital parameters, all calibrated such that they predict the same number of resolved mergers to fit the number of detections during LIGO/Virgo O1 + O2 observations runs. We show that different physical choices for the process of black hole (BH) collapse and cut-off in the BH mass distribution give fractional differences in the angular power spectrum of anisotropies of up to 50 per cent on all angular scales. We also point out that the astrophysical information which can be extracted from anisotropies is complementary to the isotropic background and individual mergers. These results underline the interest in the anisotropies of the stochastic gravitational wave background as a new and potentially rich field of research, at the cross-road between astrophysics and cosmology.

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