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We present a Bayesian approach to the problem of determining parameters for coalescing binary systems observed with laser interferometric detectors. By applying a Markov Chain Monte Carlo (MCMC) algorithm, specifically the Gibbs sampler, we…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Nelson Christensen , Renate Meyer

We introduce the Markov Stochastic Block Model (MSBM): a growth model for community based networks where node attributes are assigned through a Markovian dynamic. We rely on HMMs' literature to design prediction methods that are robust to…

社会与信息网络 · 计算机科学 2023-01-09 Quentin Duchemin

Bernoulli factory MCMC algorithms implement accept-reject Markov chains without explicit computation of acceptance probabilities, and are used to target posterior distributions associated with intractable likelihood models. Intractable…

统计计算 · 统计学 2025-07-18 Timothée Stumpf-Fétizon , Flávio B. Gonçalves

When performing Bayesian data analysis using a general linear mixed model, the resulting posterior density is almost always analytically intractable. However, if proper conditionally conjugate priors are used, there is a simple two-block…

统计理论 · 数学 2017-11-21 Tavis Abrahamsen , James P. Hobert

This paper introduces a Bayesian framework that combines Markov chain Monte Carlo (MCMC) sampling, dimensionality reduction, and neural density estimation to efficiently handle inverse problems that (i) must be solved multiple times, and…

计算工程、金融与科学 · 计算机科学 2026-02-24 Giacomo Bottacini , Matteo Torzoni , Andrea Manzoni

We present a fast Bayesian inference framework to address the growing computational cost of gravitational-wave parameter estimation. The increased cost is driven by improved broadband detector sensitivity, particularly at low frequencies…

广义相对论与量子宇宙学 · 物理学 2025-08-07 Abhishek Sharma , Lalit Pathak , Soumen Roy , Anand S. Sengupta

Symbolic regression is a powerful tool for discovering governing equations directly from data, but its sensitivity to noise hinders its broader application. This paper introduces a Sequential Monte Carlo (SMC) framework for Bayesian…

机器学习 · 计算机科学 2025-12-12 Geoffrey F. Bomarito , Patrick E. Leser

Markov-chain Monte Carlo sampling has become a standard technique for exploring the posterior distribution of cosmological parameters constrained by observations of CMB anisotropies. Given an infinite amount of time, any MCMC sampler will…

天体物理学 · 物理学 2007-05-23 Anze Slosar , Michael Hobson

Likelihood-free inference provides a rigorous approach to preform Bayesian analysis using forward simulations only. The main advantage of likelihood-free methods is its ability to account for complex physical processes and observational…

宇宙学与河外天体物理 · 物理学 2022-02-09 Sut-Ieng Tam , Keiichi Umetsu , Adam Amara

The Linear Ballistic Accumulator (Brown & Heathcote, 2008) model is used as a measurement tool to answer questions about applied psychology. The analyses based on this model depend upon the model selected and its estimated parameters.…

统计方法学 · 统计学 2020-03-03 David Gunawan , Guy E. Hawkins , Minh-Ngoc Tran , Robert Kohn , Scott Brown

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

Neural networks are being extensively used for modelling data, especially in the case where no likelihood can be formulated. Although in the case of X-ray spectral fitting, the likelihood is known, we aim to investigate the neural networks…

天体物理仪器与方法 · 物理学 2024-02-22 Didier Barret , Simon Dupourqué

Recent advances in Markov chain Monte Carlo (MCMC) extend the scope of Bayesian inference to models for which the likelihood function is intractable. Although these developments allow us to estimate model parameters, other basic problems…

统计计算 · 统计学 2019-12-12 Minh-Ngoc Tran , Marcel Scharth , David Gunawan , Robert Kohn , Scott D. Brown , Guy E. Hawkins

The Laser Interferometer Space Antenna (LISA) will be capable of detecting gravitational waves (GWs) in the milli-Hertz band. Among various sources, LISA will detect the coalescence of supermassive black hole binaries (SMBHBs). Accurate and…

广义相对论与量子宇宙学 · 物理学 2025-02-25 Abhishek Sharma , Anand S. Sengupta , Suvodip Mukherjee

In the era of multi-messenger astronomy, early classification of photometric alerts from wide-field and high-cadence surveys is a necessity to trigger spectroscopic follow-ups. These classifications are expected to play a key role in…

天体物理仪器与方法 · 物理学 2023-11-09 Biswajit Biswas , Junpeng Lao , Eric Aubourg , Alexandre Boucaud , Axel Guinot , Emille E. O. Ishida , Cécile Roucelle

We consider the generic problem of performing sequential Bayesian inference in a state-space model with observation process y, state process x and fixed parameter theta. An idealized approach would be to apply the iterated batch importance…

统计计算 · 统计学 2012-01-30 Nicolas Chopin , Pierre E. Jacob , Omiros Papaspiliopoulos

In Bayesian inverse problems, one aims at characterizing the posterior distribution of a set of unknowns, given indirect measurements. For non-linear/non-Gaussian problems, analytic solutions are seldom available: Sequential Monte Carlo…

统计方法学 · 统计学 2022-12-26 Alessandro Viani , Adam M Johansen , Alberto Sorrentino

This study introduces a computationally efficient algorithm, delayed acceptance Markov chain Monte Carlo (DA-MCMC), designed to improve posterior simulation in quasi-Bayesian inference. Quasi-Bayesian methods, which do not require fully…

统计计算 · 统计学 2026-02-16 Masahiro Tanaka

Kilonovae, possible electromagnetic counterparts to neutron star mergers, provide important information about high-energy transient phenomena and, in principle, also allow us to obtain information about the source properties responsible for…

高能天体物理现象 · 物理学 2025-03-28 Sahil Jhawar , Thibeau Wouters , Peter T. H. Pang , Mattia Bulla , Michael W. Coughlin , Tim Dietrich

We present a lightweight, flexible, and high-performance framework for inferring the properties of gravitational-wave events. By combining likelihood heterodyning, automatically-differentiable and accelerator-compatible waveforms, and…

天体物理仪器与方法 · 物理学 2023-02-13 Kaze W. K. Wong , Maximiliano Isi , Thomas D. P. Edwards
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