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A covariant energy density functional is calibrated using a principled Bayesian statistical framework informed by experimental binding energies and charge radii of several magic and semi-magic nuclei. The Bayesian sampling required for the…

核理论 · 物理学 2022-09-28 Pablo Giuliani , Kyle Godbey , Edgard Bonilla , Frederi Viens , Jorge Piekarewicz

Rigorous statistical methods, including parameter estimation with accompanying uncertainties, underpin the validity of scientific discovery, especially in the natural sciences. With increasingly complex data models such as deep learning…

机器学习 · 计算机科学 2026-02-18 Aurora Grefsrud , Nello Blaser , Trygve Buanes

The origin and formation of stellar-mass binary black holes remains an open question that can be addressed by precise measurements of the binary and orbital parameters from their gravitational-wave signal. Such binaries are expected to…

广义相对论与量子宇宙学 · 物理学 2023-03-29 Alice Bonino , Rossella Gamba , Patricia Schmidt , Alessandro Nagar , Geraint Pratten , Matteo Breschi , Piero Rettegno , Sebastiano Bernuzzi

Gravitational-wave observations have revealed sources whose unusual properties challenge our understanding of compact-binary formation. Inferring the formation processes that are best able to reproduce such events may therefore yield key…

高能天体物理现象 · 物理学 2023-09-08 Matthew Mould , Davide Gerosa , Marco Dall'Amico , Michela Mapelli

We combine hierarchical Bayesian modeling with a flow-based deep generative network, in order to demonstrate that one can efficiently constraint numerical gravitational wave (GW) population models at a previously intractable complexity.…

天体物理仪器与方法 · 物理学 2020-07-07 Kaze W. K. Wong , Gabriella Contardo , Shirley Ho

In this paper, we develop a machine learning-based Bayesian approach to inversely quantify and reduce the uncertainties of the two-fluid model-based multiphase computational fluid dynamics (MCFD) for bubbly flow simulations. The proposed…

流体动力学 · 物理学 2020-10-22 Yang Liu , Dewei Wang , Xiaodong Sun , Yang Liu , Nam Dinh , Rui Hu

We have developed a new Bayesian method to correct the flux densities of astronomical sources. The hybrid method combines a simulated likelihood to model survey selection together with an analytic source-count-based prior. The simulated…

星系天体物理 · 物理学 2020-04-29 Megan B. Gralla , Tobias A. Marriage

Normalizing flows are a class of generative models that enable exact likelihood evaluation. While these models have already found various applications in particle physics, normalizing flows are not flexible enough to model many of the…

高能物理 - 唯象学 · 物理学 2022-09-07 Rob Verheyen

Despite the observation of nearly 100 compact binary coalescence (CBC) events up to the end of the Advanced gravitational-wave (GW) detectors' third observing run (O3), there remain fundamental open questions regarding their astrophysical…

广义相对论与量子宇宙学 · 物理学 2025-01-22 Ana Lorenzo-Medina , Thomas Dent

We perform binary population synthesis calculations to investigate the incidence of low-mass X-ray binaries and their birth rate in the Galaxy. We use a binary evolution algorithm that models all the relevant processes including tidal…

天体物理学 · 物理学 2009-11-11 Paul D. Kiel , Jarrod R. Hurley

This paper presents a new Bayesian framework for quantifying discretization errors in numerical solutions of ordinary differential equations. By modelling the errors as random variables, we impose a monotonicity constraint on the variances,…

数值分析 · 数学 2024-11-14 Yuto Miyatake , Kaoru Irie , Takeru Matsuda

We propose parameterizing the population distribution of the gravitational wave population modeling framework (Hierarchical Bayesian Analysis) with a normalizing flow. We first demonstrate the merit of this method on illustrative…

天体物理仪器与方法 · 物理学 2023-01-02 David Ruhe , Kaze Wong , Miles Cranmer , Patrick Forré

We present an accelerated pipeline, based on high-performance computing techniques and normalizing flows, for joint Bayesian parameter estimation and model selection and demonstrate its efficiency in gravitational wave astrophysics. We…

天体物理仪器与方法 · 物理学 2024-11-01 Alicja Polanska , Thibeau Wouters , Peter T. H. Pang , Kaze K. W. Wong , Jason D. McEwen

Loss-based clustering methods, such as k-means and its variants, are standard tools for finding groups in data. However, the lack of quantification of uncertainty in the estimated clusters is a disadvantage. Model-based clustering based on…

统计方法学 · 统计学 2020-06-11 Tommaso Rigon , Amy H. Herring , David B. Dunson

Gravitational-wave parameter estimation for compact binary signals typically relies on sequential estimation of the properties of the detector Gaussian noise and of the binary parameters. This procedure assumes that the noise variance,…

广义相对论与量子宇宙学 · 物理学 2022-11-14 Cailin Plunkett , Sophie Hourihane , Katerina Chatziioannou

Bayesian parameter estimation on gravitational waves from compact binary coalescences (CBCs) typically requires millions of template waveform computations at different values of the parameters describing the binary. Sampling techniques such…

高能天体物理现象 · 物理学 2014-09-05 Rory Smith , Chad Hanna , Ilya Mandel , Alberto Vecchio

Astrophysically motivated population models for binary black hole observables are often insufficient to capture the imprints of multiple formation channels. This is mainly due to the strongly parametrized nature of such investigations.…

高能天体物理现象 · 物理学 2024-04-05 Anarya Ray , Ignacio Magaña Hernandez , Katelyn Breivik , Jolien Creighton

Neural networks make accurate predictions but often fail to provide reliable uncertainty estimates, especially under covariate distribution shifts between training and testing. To address this problem, we propose a Bayesian framework for…

机器学习 · 统计学 2025-12-22 Yuli Slavutsky , David M. Blei

We study methods for reconstructing Bayesian uncertainties on dynamical mass estimates of galaxy clusters using convolutional neural networks (CNNs). We discuss the statistical background of approximate Bayesian neural networks and…

宇宙学与河外天体物理 · 物理学 2021-03-16 Matthew Ho , Arya Farahi , Markus Michael Rau , Hy Trac

Bayesian neural networks (BNNs) are making significant progress in many research areas where decision-making needs to be accompanied by uncertainty estimation. Being able to quantify uncertainty while making decisions is essential for…

机器学习 · 计算机科学 2021-06-07 Martin Ferianc , Partha Maji , Matthew Mattina , Miguel Rodrigues