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We develop a machine learning model based on a structured variational autoencoder (VAE) framework to reconstruct and generate neutron star (NS) equations of state (EOS). The VAE consists of an encoder network that maps high-dimensional EOS…

High Energy Astrophysical Phenomena · Physics 2026-01-30 Alex Ross , Tianqi Zhao , Sanjay Reddy

We develop a new nonparametric method to reconstruct the Equation of State (EoS) of Neutron Star with multimessenger data. As an universal function approximator, the Feed-Forward Neural Network (FFNN) with one hidden layer and a sigmoidal…

High Energy Physics - Phenomenology · Physics 2023-06-16 Ming-Zhe Han , Jin-Liang Jiang , Shao-Peng Tang , Yi-Zhong Fan

We develop a semi-supervised variational autoencoder (SSVAE) framework to reconstruct and generate neutron star (NS) equations of state (EOS). The SSVAE consists of an encoder network that maps high-dimensional EOS data into a…

Instrumentation and Methods for Astrophysics · Physics 2026-05-28 Tianqi Zhao , Fanglida Yan , Alex Ross , James M. Lattimer

It is of great interest to understand the equation of state (EOS) of the neutron star (NS), whose core includes highly dense matter. However, there are large uncertainties in the theoretical predictions for the EOS of NS. It is useful to…

Nuclear Theory · Physics 2023-07-05 Wenjie Zhou , Jinniu Hu , Ying Zhang , Hong Shen

We develop a non-parametric method for inferring the universal neutron star (NS) equation of state (EOS) from gravitational wave (GW) observations. Many different possible realizations of the EOS are generated with a Gaussian process…

General Relativity and Quantum Cosmology · Physics 2019-05-08 Philippe Landry , Reed Essick

We have conducted an extensive study using a diverse set of equations of state (EoSs) to uncover strong relationships between neutron star (NS) observables and the underlying EoS parameters using symbolic regression method. These EoS…

Nuclear Theory · Physics 2025-04-17 N. K. Patra , Tuhin Malik , Helena Pais , Kai Zhou , B. K. Agrawal , Constança Providência

We present a physics-informed Bayesian neural-network framework to infer neutron-star equations of state from theoretical priors and to propagate the associated uncertainties to stellar observables. Trained on a large and representative…

High Energy Astrophysical Phenomena · Physics 2026-04-29 J. D. Baker , C. A. Bertulani , R. V. Lobato

We perform a comprehensive Bayesian analysis to constrain the neutron star (NS) equation of state (EoS) using a wide range of terrestrial and astrophysical data. The terrestrial inputs include quantities related to symmetric nuclear matter…

Nuclear Theory · Physics 2026-02-19 Sk Md Adil Imam , N. K. Patra

The Equation of State (EoS) of strongly interacting cold and hot ultra-dense QCD matter remains a major challenge in the field of nuclear astrophysics. With the advancements in measurements of neutron star masses, radii, and tidal…

High Energy Physics - Phenomenology · Physics 2022-09-05 Shriya Soma , Lingxiao Wang , Shuzhe Shi , Horst Stöcker , Kai Zhou

Observations of neutron stars (NSs) by the LIGO-Virgo and NICER collaborations have provided reasonably precise measurements of their various macroscopic properties. In this paper, we employ a Bayesian framework to combine them and place…

High Energy Astrophysical Phenomena · Physics 2021-05-26 Bhaskar Biswas , Prasanta Char , Rana Nandi , Sukanta Bose

Over the past decade, an abundance of information from neutron-star observations, nuclear experiments and theory has transformed our efforts to elucidate the properties of dense matter. However, at high densities relevant to the cores of…

High Energy Astrophysical Phenomena · Physics 2025-10-10 Sunny Ng , Isaac Legred , Lami Suleiman , Philippe Landry , Lyla Traylor , Jocelyn Read

The equation of state (EoS) of neutron matter plays a decisive role to understand the neutron star properties and the gravitational waves from neutron star mergers. At sufficient densities, the appearance of hyperons generally softens the…

Nuclear Theory · Physics 2025-02-21 Hui Tong , Serdar Elhatisari , Ulf-G. Meißner

Very recently the NICER collaboration has published the first-ever accurate measurement of mass and radius together for PSR J0030+0451, a nearby isolated quickly-rotating neutron star (NS). In this work we set the joint constraints on the…

High Energy Astrophysical Phenomena · Physics 2020-04-29 Jin-Liang Jiang , Shao-Peng Tang , Yuan-Zhu Wang , Yi-Zhong Fan , Da-Ming Wei

Neutron star observables like masses, radii, and tidal deformability are direct probes to the dense matter equation of state~(EoS). A novel deep learning method that optimizes an EoS in the automatic differentiation framework of solving…

High Energy Astrophysical Phenomena · Physics 2023-05-03 Shriya Soma , Lingxiao Wang , Shuzhe Shi , Horst Stöcker , Kai Zhou

The general behavior of the nuclear equation of state (EOS), relevant for the description of neutron stars (NS), is studied within a Bayesian approach applied to a set of models based on a density dependent relativistic mean field…

Nuclear Theory · Physics 2022-05-02 Tuhin Malik , Márcio Ferreira , B. K. Agrawal , Constança Providência

The increasing number and precision of measurements of neutron star masses, radii, and, in the near future, moments of inertia offer the possibility of precisely determining the neutron star equation of state. One way to facilitate the…

High Energy Astrophysical Phenomena · Physics 2016-12-14 Carolyn A. Raithel , Feryal Özel , Dimitrios Psaltis

A Bayesian method is used in this extensive work to generate a large set of minimally constrained equations of state (EOSs) for matters in neutron stars (NS). These EOSs are analyzed for their correlations with key NS properties, such as…

Nuclear Theory · Physics 2024-04-29 N. K. Patra

We introduce a family of equations of state (EoS) for hybrid neutron star (NS) matter that is obtained by a two-zone parabolic interpolation between a soft hadronic EoS at low densities and a set of stiff quark matter EoS at high densities…

High Energy Astrophysical Phenomena · Physics 2022-02-18 A. Ayriyan , D. Blaschke , A. G. Grunfeld , D. Alvarez-Castillo , H. Grigorian , V. Abgaryan

Instead of parameterizing the pressure-density relation of a neutron star (NS), one can parameterize its macroscopic properties such as mass ($M$), radius ($R$), and dimensionless tidal deformability ($\Lambda$) to infer the equation of…

High Energy Astrophysical Phenomena · Physics 2022-08-31 Bhaskar Biswas , Sayak Datta

We present a simulation-based inference (SBI) framework to constrain the neutron star (NS) equation of state (EoS) from astrophysical observations of masses, radii and tidal deformabilities, using Neural posterior estimation (NPE) with…

Nuclear Theory · Physics 2025-10-14 Valéria Carvalho , Márcio Ferreira , Michał Bejger , Constança Providência
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