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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…

Nuclear Theory · Physics 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…

Machine Learning · Computer Science 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…

General Relativity and Quantum Cosmology · Physics 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…

High Energy Astrophysical Phenomena · Physics 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.…

Instrumentation and Methods for Astrophysics · Physics 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…

Fluid Dynamics · Physics 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…

Astrophysics of Galaxies · Physics 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…

High Energy Physics - Phenomenology · Physics 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…

General Relativity and Quantum Cosmology · Physics 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…

Astrophysics · Physics 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,…

Numerical Analysis · Mathematics 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…

Instrumentation and Methods for Astrophysics · Physics 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…

Instrumentation and Methods for Astrophysics · Physics 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…

Methodology · Statistics 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,…

General Relativity and Quantum Cosmology · Physics 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…

High Energy Astrophysical Phenomena · Physics 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.…

High Energy Astrophysical Phenomena · Physics 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…

Machine Learning · Statistics 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…

Cosmology and Nongalactic Astrophysics · Physics 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…

Machine Learning · Computer Science 2021-06-07 Martin Ferianc , Partha Maji , Matthew Mattina , Miguel Rodrigues