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Understanding the dense matter equation of state at extreme conditions is an important open problem. Astrophysical observations of neutron stars promise to solve this, with NICER poised to make precision measurements of mass and radius for…

High Energy Astrophysical Phenomena · Physics 2019-03-20 S. K. Greif , G. Raaijmakers , K. Hebeler , A. Schwenk , A. L. Watts

The only messenger radiation in the Universe which one can use to statistically probe the Equation of State (EOS) of cold dense matter is that originating from the near-field vicinities of compact stars. Constraining gravitational masses…

High Energy Astrophysical Phenomena · Physics 2018-05-23 G. Raaijmakers , T. E. Riley , A. L. Watts

The increasing richness of data related to cold dense matter, from laboratory experiments to neutron-star observations, requires a framework for constraining the properties of such matter that makes use of all relevant information. Here, we…

High Energy Astrophysical Phenomena · Physics 2020-01-08 M. Coleman Miller , Cecilia Chirenti , Frederick K. Lamb

We propose a new Bayesian framework to infer the neutron star equation of state (EOS) from mass and radius observations and neutron matter theory by defining priors that directly parameterize mass-radius space instead of pressure-energy…

High Energy Astrophysical Phenomena · Physics 2026-01-09 Boyang Sun , Tianqi Zhao , James M. Lattimer

We present a Bayesian analysis to constrain the equation of state of dense nucleonic matter by exploiting the available data from symmetric nuclear matter at saturation and from observations of compact X-ray sources and from the…

High Energy Astrophysical Phenomena · Physics 2020-07-23 Silvia Traversi , Prasanta Char , Giuseppe Pagliara

In this work the issue of Bayesian inference for stationary data is addressed. Therefor a parametrization of a statistically suitable subspace of the the shift-ergodic probability measures on a Cartesian product of some finite state space…

Statistics Theory · Mathematics 2017-10-24 Fritz Moritz von Rohrscheidt

We suggest a new Bayesian analysis using disjunct mass and radius constraints for extracting probability measures for cold, dense nuclear matter equations of state. One of the key issues of such an analysis is the question of a…

High Energy Astrophysical Phenomena · Physics 2015-09-07 A. Ayriyan , D. E. Alvarez-Castillo , D. Blaschke , H. Grigorian , M. Sokolowski

We propose a new doorway to study the interplay between equations of state of dense matter and compact stars in gauge/gravity correspondence. For this we construct a bulk geometry near the boundary of five-dimensional spacetime. By solving…

High Energy Physics - Phenomenology · Physics 2015-06-05 Kyung Kiu Kim , Youngman Kim , Ik Jae Shin

This paper considers the problem of computing Bayesian estimates of both states and model parameters for nonlinear state-space models. Generally, this problem does not have a tractable solution and approximations must be utilised. In this…

Machine Learning · Statistics 2020-12-15 Jarrad Courts , Johannes Hendriks , Adrian Wills , Thomas Schön , Brett Ninness

We perform a Bayesian analysis of probability measures for compact star equations of state using new, disjunct constraints for mass and radius. The analysis uses a simple parametrization for hybrid equations of state to investigate the…

High Energy Astrophysical Phenomena · Physics 2014-08-29 David Alvarez-Castillo , Alexander Ayriyan , David Blaschke , Hovik Grigorian

The equation of state of dense matter determines the structure of neutron stars, their typical radii, and maximum masses. Recent improvements in theoretical modeling of nuclear forces from the low-energy effective field theory of QCD has…

Nuclear Theory · Physics 2019-09-04 Jeremy W. Holt , Yeunhwan Lim

Bayesian inference provides a principled probabilistic framework for quantifying uncertainty by updating beliefs based on prior knowledge and observed data through Bayes' theorem. In Bayesian deep learning, neural network weights are…

Machine Learning · Computer Science 2024-10-22 Yijie Zhang

This paper considers the problem of making statistical inferences about a parameter when a narrow interval centred at a given value of the parameter is considered special, which is interpreted as meaning that there is a substantial degree…

Statistics Theory · Mathematics 2018-09-07 Russell J. Bowater , Ludmila E. Guzmán-Pantoja

Astrophysical observations from NICER and gravitational wave data constrain the properties of matter at the cores of neutron stars, enabling us to probe high-density matter with greater accuracy. To understand its implications for neutron…

High Energy Astrophysical Phenomena · Physics 2026-02-13 Asim Kumar Saha , Tuhin Malik , Ritam Mallick

A systematic Bayesian framework is developed for physics constrained parameter inference ofstochastic differential equations (SDE) from partial observations. The physical constraints arederived for stochastic climate models but are…

Data Analysis, Statistics and Probability · Physics 2016-11-25 Daniel Peavoy , Christian L. E. Franzke , Gareth O. Roberts

The nuclear matter parameters (NMPs), those underlie in the construction of the equation of state (EoS) of neutron star matter, are not directly accessible. The Bayesian approach is applied to reconstruct the posterior distributions of NMPs…

Nuclear Theory · Physics 2022-06-23 Sk Md Adil Imam , N. K. Patra , C. Mondal , Tuhin Malik , B. K. Agrawal

We present a generalized piecewise polytropic parameterization for the neutron-star equation of state using an ansatz that imposes continuity in not only pressure and energy density, but also in the speed of sound. The universe of candidate…

High Energy Astrophysical Phenomena · Physics 2020-11-04 Michael F. O'Boyle , Charalampos Markakis , Nikolaos Stergioulas , Jocelyn S. Read

With recent advances in neutron star observations, major progress has been made in determining the pressure of neutron star matter at high density. This pressure is constrained by the neutron star deformability, determined from…

Estimation of parameters that obey specific constraints is crucial in statistics and machine learning; for example, when parameters are required to satisfy boundedness, monotonicity, or linear inequalities. Traditional approaches impose…

Methodology · Statistics 2026-04-03 Lachlan Astfalck , Deborshee Sen , Sayan Patra , Edward Cripps , David Dunson

We suggest a new Bayesian analysis using disjunct M-R constraints for extracting probability measures for cold, dense matter equations of state. One of the key issues of such an analysis is the question of a deconfinement transition in…

High Energy Astrophysical Phenomena · Physics 2014-06-13 David B. Blaschke , Hovik A. Grigorian , David E. Alvarez-Castillo , Alexander S. Ayriyan
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