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Integrating physics models within machine learning models holds considerable promise toward learning robust models with improved interpretability and abilities to extrapolate. In this work, we focus on the integration of incomplete physics…

Machine Learning · Computer Science 2021-10-28 Naoya Takeishi , Alexandros Kalousis

After giving an overview of the history and idea of neutron stars, I shall introduce, in part one of my lectures, a representative collection of models for the equation of state of superdense neutron star matter, which account for various…

Astrophysics · Physics 2007-05-23 Fridolin Weber , Norman K. Glendenning

We discuss a methodology of machine learning to deduce the neutron star equation of state from a set of mass-radius observational data. We propose an efficient procedure to deal with a mapping from finite data points with observational…

Nuclear Theory · Physics 2018-08-08 Yuki Fujimoto , Kenji Fukushima , Koichi Murase

Transformer models have become state-of-the-art in decoding stimuli and behavior from neural activity, significantly advancing neuroscience research. Yet greater transparency in their decision-making processes would substantially enhance…

Quantitative Methods · Quantitative Biology 2025-06-18 Laurence Freeman , Philip Shamash , Vinam Arora , Caswell Barry , Tiago Branco , Eva Dyer

We study the structure and evolution of neutron stars (NS) the interiors of which are modeled using microscopic approaches and constrained by the condition that the equation of state (EoS) of matter extrapolated to high densities should not…

Astrophysics · Physics 2008-12-18 Hovik Grigorian

For densities beyond nuclear saturation, there is still a large uncertainty in the equations of state (EoS) of dense matter that translate into uncertainties in the internal structure of neutron stars. The MUSES Calculation Engine provides…

Nuclear Theory · Physics 2025-05-22 Mateus Pelicer , Veronica Dexheimer , Joaquin Grefa

The unknown state of matter at ultra-high density, large proton/neutron number asymmetry, and low temperature is a major long-standing problem in modern physics. Neutron stars provide the only known setting in the Universe where matter in…

Properties of neutron stars in GW170817 are investigated using different equations of state (EoS) involving nucleons, $\Lambda$ hyperons, quarks resulting in $2M_{\odot}$ neutron stars. This calculation is performed using the same EoS for…

High Energy Astrophysical Phenomena · Physics 2019-01-02 Sajad A. Bhat , Debades Bandyopadhyay

Inference and prediction under partial knowledge of a physical system is challenging, particularly when multiple confounding sources influence the measured response. Explicitly accounting for these influences in physics-based models is…

Machine Learning · Statistics 2026-01-14 Ioannis Christoforos Koune , Alice Cicirello

In this work, we discuss the dense matter equation of state (EOS) for the extreme range of conditions encountered in neutron stars and their mergers. The calculation of the properties of such an EOS involves modeling different degrees of…

It is well known that the equation of state (EoS) of compact objects like neutron and quark stars is not determined despite there are several sophisticated models to describe it. From the electromagnetic observations, summarized in…

To relate constraints from nuclear physics to the tidal deformabilities of neutron stars, we construct a neutron star model that accepts input from a large collection of Skyrme density functions to calculate properties of 1.4 solar-mass…

Nuclear Experiment · Physics 2018-11-13 M. B. Tsang , C. Y. Tsang , P. Danielewicz , W. G. Lynch , F. J. Fattoyev

Context. A unified equation of state (EoS) should describe the crust and the core of a neutron star using the same physical model. The Brussels-Montreal group has recently derived a family of such EoSs based on the nuclear energy-density…

Solar and Stellar Astrophysics · Physics 2015-05-14 A. Y. Potekhin , A. F. Fantina , N. Chamel , J. M. Pearson , S. Goriely

Astronomical observations place increasingly tighter and more diverse constraints on the properties of neutron stars (NS). Examples include observations of radio or gamma-ray pulsars, accreting neutron stars and x-ray bursts, magnetar giant…

General Relativity and Quantum Cosmology · Physics 2024-04-18 Wolfgang Kastaun , Frank Ohme

The general behavior of the nuclear equation of state (EOS), relevant for the description of neutron stars (NS), is studied within a relativistic mean field description of nuclear matter. Different formulations, both with density dependent…

Nuclear Theory · Physics 2024-06-06 Constança Providência , Tuhin Malik , Milena Bastos Albino , Márcio Ferreira

The equations of state (EoSs) governing neutron star (NS) matter obtained for both non-relativistic and relativistic mean-field models are systematically confronted with a diverse set of terrestrial data and astrophysical observations…

Nuclear Theory · Physics 2024-05-20 Sk Md Adil Imam , Tuhin Malik , Constança Providência , B. K. Agrawal

In this paper we present a simple discussion on the properties of compact stars using an EoS obtained in effective field theory anchored on scale and hidden-local symmetric Lagrangian endowed with topology change and a unequivocal…

Nuclear Theory · Physics 2017-03-08 Kyungmin Kim , Hyun Kyu Lee , Jaehyun Lee

Given an Equation of State (EOS) for neutron star (NS) matter, there is a unique mass-radius sequence characterized by a maximum mass $M_{\rm{NS}}^{\max}$ at radius $R_{\max}$. We first show analytically that the $M_{\rm{NS}}^{\max}$ and…

Nuclear Theory · Physics 2023-07-27 Bao-Jun Cai , Bao-An Li , Zhen Zhang

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

The modeling of many neutron star observables incorporates the microphysics of both the stellar crust and core, which is tied intimately to the properties of the nuclear matter equation of state (EoS). We explore the predictions of such…

High Energy Astrophysical Phenomena · Physics 2015-06-12 W. G. Newton , M. Gearheart , De-Hua Wen , Bao-An Li
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