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Tasks such as social network analysis, human behavior recognition, or modeling biochemical reactions, can be solved elegantly by using the probabilistic inference framework. However, standard probabilistic inference algorithms work at a…

人工智能 · 计算机科学 2018-12-11 Stefan Lüdtke , Max Schröder , Frank Krüger , Sebastian Bader , Thomas Kirste

A method for sequential inference of the fixed parameters of a dynamic latent Gaussian models is proposed and evaluated that is based on the iterated Laplace approximation. The method provides a useful trade-off between computational…

统计方法学 · 统计学 2015-09-29 Tiep Mai , Simon Wilson

Inverse problems constrained by partial differential equations are often ill-conditioned due to noisy and incomplete data or inherent non-uniqueness. A prominent example is full waveform inversion, which estimates Earth's subsurface…

地球物理 · 物理学 2026-03-03 Ali Siahkoohi , Kamal Aghazade , Ali Gholami

This conference proceeding presents an overview of the modern approaches in the study of baryonic matter at high densities, focusing on the use of online repositories such as CompOSE and MUSES for the calculation of neutron star properties.…

高能天体物理现象 · 物理学 2023-02-06 Rafael Bán Jacobsen , Verônica Dexheimer , Ricardo Luciano Sonego Farias

Most parameterizations of the dark energy equation of state do not reflect realistic underlying physical models. Here, we develop a relatively simple description of dark energy based on the dynamics of a scalar field which is exact in the…

天体物理学 · 物理学 2008-11-26 Robert Crittenden , Elisabetta Majerotto , Federico Piazza

The nature of the dominant component of galaxies and clusters remains unknown. While the astrophysics community supports the cold dark matter (CDM) paradigm as a clue factor in the current cosmological model, no direct CDM detections have…

广义相对论与量子宇宙学 · 物理学 2015-05-27 Ana Laura Serra , Mariano Javier de León Domínguez Romero

We investigate constraints on neutron star structure arising from the assumptions that neutron stars have crusts, that recent calculations of pure neutron matter limit the equation of state of neutron star matter near the nuclear saturation…

高能天体物理现象 · 物理学 2016-02-26 A. W. Steiner , J. M. Lattimer , E. F. Brown

Prior specification for nonparametric Bayesian inference involves the difficult task of quantifying prior knowledge about a parameter of high, often infinite, dimension. Realistically, a statistician is unlikely to have informed opinions…

统计方法学 · 统计学 2012-05-01 David C. Kessler , Peter D. Hoff , David B. Dunson

This work proposes a Bayesian inference method for the reduced-order modeling of time-dependent systems. Informed by the structure of the governing equations, the task of learning a reduced-order model from data is posed as a Bayesian…

数值分析 · 数学 2023-01-18 Mengwu Guo , Shane A. McQuarrie , Karen E. Willcox

A comparative study of various parametrizations of the dark energy equation of state $w(z)$ and its variation with the redshift is made. Astrophysical constraints from 'integrated tracking' are laid down to test the physical viability and…

天体物理学 · 物理学 2007-05-23 Vinod B. Johri

The Bayesian approach to the prediction of particle type given measurements of particle location is explored, using a parametric model whose prior is based on the transformation group. Two types of particle are considered, and locations are…

数据分析、统计与概率 · 物理学 2013-06-17 Robert W. Johnson

Model inadequacy and measurement uncertainty are two of the most confounding aspects of inference and prediction in quantitative sciences. The process of scientific inference (the inverse problem) and prediction (the forward problem)…

数据分析、统计与概率 · 物理学 2017-11-30 Amir Shahmoradi

The low density nuclear matter equation of state is strongly constrained by nuclear properties, however, for constraining the high density equation of state it is necessary to resort to indirect information obtained from the observation of…

核理论 · 物理学 2021-10-04 Márcio Ferreira , Constança Providência

We present a physics-informed autoencoder designed to encode the equation of state of neutron stars into an interpretable latent space. In particular the input will be encoded in the mass, radius, and tidal deformability values of a neutron…

计算物理 · 物理学 2025-05-28 Francesco Di Clemente , Matteo Scialpi , Michał Bejger

When a mathematical or computational model is used to analyse some system, it is usual that some parameters resp.\ functions or fields in the model are not known, and hence uncertain. These parametric quantities are then identified by…

概率论 · 数学 2016-07-01 Hermann G. Matthies , Elmar Zander , Bojana Rosic , Alexander Litvinenko

In this paper we present a new approach to the inverse problem for relativistic stars using the piecewise polytropic parametrization of the equation of state. The algorithm is a piecewise polytropic meshing and refinement method that…

广义相对论与量子宇宙学 · 物理学 2019-03-22 Juan Mena-Fernández , Luis Manuel González-Romero

Neutron stars provide a unique opportunity to study strongly interacting matter under extreme density conditions. The intricacies of matter inside neutron stars and their equation of state are not directly visible, but determine bulk…

Recent advancements in astrophysical observations of compact stars, particularly the new and updated NICER constraints, have provided mass-radius ($M$-$R$) data for pulsars spanning masses from 1 to $2\,M_{\odot }$. These data offer a…

高能物理 - 唯象学 · 物理学 2025-04-29 Jia-Jie Li , Yu Tian , Armen Sedrakian

The ability to obtain reliable point estimates of model parameters is of crucial importance in many fields of physics. This is often a difficult task given that the observed data can have a very high number of dimensions. In order to…

宇宙学与河外天体物理 · 物理学 2021-12-15 Janis Fluri , Aurelien Lucchi , Tomasz Kacprzak , Alexandre Refregier , Thomas Hofmann

Bayesian model mixing (BMM) is a statistical technique that can combine constraints from different regions of an input space in a principled way. Here we extend our BMM framework for the equation of state (EOS) of strongly interacting…

核理论 · 物理学 2025-05-27 A. C. Semposki , C. Drischler , R. J. Furnstahl , D. R. Phillips