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We propose a machine learning-based approach for parameter estimation of Massive Black Hole Binaries (MBHBs), leveraging normalizing flows to approximate the likelihood function. By training these flows on simulated data, we can generate…

General Relativity and Quantum Cosmology · Physics 2025-09-18 Iván Martín Vílchez , Carlos F. Sopuerta

Binary black hole (BBH) mergers detected through Gravitational Waves (GWs) are a promising probe for the cosmic expansion. These sources are standard sirens for which we can directly measure the luminosity distance, but their redshift is…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-17 Arianna Scarpa , Simone Mastrogiovanni , Filippo Santoliquido , Manuel Arca-Sedda

We present a novel approach to transcranial ultrasound computed tomography that utilizes normalizing flows to improve the speed of imaging and provide Bayesian uncertainty quantification. Our method combines physics-informed methods and…

Image and Video Processing · Electrical Eng. & Systems 2023-03-08 Rafael Orozco , Mathias Louboutin , Ali Siahkoohi , Gabrio Rizzuti , Tristan van Leeuwen , Felix Herrmann

Binary population synthesis is the method by which predictions of varied observables of stellar populations can be made from theoretical models of binary stellar evolution. Binary stars have many more possible evolutionary outcomes compared…

Solar and Stellar Astrophysics · Physics 2020-06-15 J. J. Eldridge

When modeling a probability distribution with a Bayesian network, we are faced with the problem of how to handle continuous variables. Most previous work has either solved the problem by discretizing, or assumed that the data are generated…

Machine Learning · Computer Science 2013-02-21 George H. John , Pat Langley

We report on advances to interpret current and future gravitational-wave events in light of astrophysical simulations. A machine-learning emulator is trained on numerical population-synthesis predictions and inserted into a Bayesian…

High Energy Astrophysical Phenomena · Physics 2019-10-30 Kaze W. K. Wong , Davide Gerosa

Normalizing flows are objects used for modeling complicated probability density functions, and have attracted considerable interest in recent years. Many flexible families of normalizing flows have been developed. However, the focus to date…

Methodology · Statistics 2023-01-18 Tin Lok James Ng , Andrew Zammit-Mangion

Unbinned likelihood fits aim at maximizing the information one can extract from experimental data, yet their application in realistic statistical analyses is often hindered by the computational cost of profiling systematic uncertainties.…

High Energy Physics - Phenomenology · Physics 2026-02-16 Davide Valsecchi , Mauro Donegà , Rainer Wallny

The simulation of gravitational wave source populations and their progenitors is an endeavor more than eighty years in the making. This is in part due to a wide variety of theoretical uncertainties that must be taken into account when…

High Energy Astrophysical Phenomena · Physics 2025-08-14 Katelyn Breivik

Computing the marginal likelihood (also called the Bayesian model evidence) is an important task in Bayesian model selection, providing a principled quantitative way to compare models. The learned harmonic mean estimator solves the…

Methodology · Statistics 2024-01-22 Alicja Polanska , Matthew A. Price , Alessio Spurio Mancini , Jason D. McEwen

Strong lensing of gravitational waves can produce several detectable images as repeated events in the upcoming observing runs, which can be detected with the posterior overlap analysis (Bayes factor). The choice of the binary black hole…

General Relativity and Quantum Cosmology · Physics 2025-09-26 Damon H. T. Cheung , Stefano Rinaldi , Martina Toscani , Otto A. Hannuksela

We propose a novel method for closed-form predictive distribution modeling with neural nets. In quantifying prediction uncertainty, we build on Evidential Deep Learning, which has been impactful as being both simple to implement and giving…

Machine Learning · Statistics 2021-01-22 Manuel Haussmann , Sebastian Gerwinn , Melih Kandemir

A yet undetected class of GW signals is represented by the close encounters between compact objects in highly-eccentric e~1 orbits, that can occur in binary systems formed in dense environments such as globular clusters. The expected…

General Relativity and Quantum Cosmology · Physics 2025-09-26 Federico De Santi , Massimiliano Razzano , Francesco Fidecaro , Luca Muccillo , Lucia Papalini , Barbara Patricelli

Bayesian inference is the workhorse of gravitational-wave astronomy, for example, determining the mass and spins of merging black holes, revealing the neutron star equation of state, and unveiling the population properties of compact…

Instrumentation and Methods for Astrophysics · Physics 2019-09-04 Colm Talbot , Rory Smith , Eric Thrane , Gregory B. Poole

Normalizing flows model a complex target distribution in terms of a bijective transform operating on a simple base distribution. As such, they enable tractable computation of a number of important statistical quantities, particularly…

Machine Learning · Computer Science 2022-09-01 Chandramouli Shama Sastry , Andreas Lehrmann , Marcus Brubaker , Alexander Radovic

Bayesian estimation is increasingly popular for performing model based inference to support policymaking. These data are often collected from surveys under informative sampling designs where subject inclusion probabilities are designed to…

Methodology · Statistics 2018-07-13 Luis G. Leon-Novelo , Terrance D. Savitsky

Normalizing flows are a powerful tool to create flexible probability distributions with a wide range of potential applications in cosmology. Here we are studying normalizing flows which represent cosmological observables at field level,…

Cosmology and Nongalactic Astrophysics · Physics 2021-05-26 Adam Rouhiainen , Utkarsh Giri , Moritz Münchmeyer

Existing machine learning methods for causal inference usually estimate quantities expressed via the mean of potential outcomes (e.g., average treatment effect). However, such quantities do not capture the full information about the…

Machine Learning · Computer Science 2023-06-21 Valentyn Melnychuk , Dennis Frauen , Stefan Feuerriegel

Rapid binary population synthesis codes are often used to investigate the evolution of compact-object binaries. They typically rely on analytical fits of single-star evolutionary tracks and parameterized models for interactive phases of…

High Energy Astrophysical Phenomena · Physics 2021-12-08 Monica Gallegos-Garcia , Christopher P L Berry , Pablo Marchant , Vicky Kalogera

Deep-learning models for traffic data prediction can have superior performance in modeling complex functions using a multi-layer architecture. However, a major drawback of these approaches is that most of these approaches do not offer…

Machine Learning · Computer Science 2024-07-04 Agnimitra Sengupta , Sudeepta Mondal , Adway Das , S. Ilgin Guler