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Synthetic likelihood (SL) is a strategy for parameter inference when the likelihood function is analytically or computationally intractable. In SL, the likelihood function of the data is replaced by a multivariate Gaussian density over…

统计方法学 · 统计学 2022-02-21 Umberto Picchini , Umberto Simola , Jukka Corander

We propose an efficient Bayesian MCMC algorithm for estimating cosmological parameters from CMB data without use of likelihood approximations. It builds on a previously developed Gibbs sampling framework that allows for exploration of the…

宇宙学与河外天体物理 · 物理学 2016-03-29 Benjamin Racine , Jeffrey B. Jewell , Hans Kristian K. Eriksen , Ingunn K. Wehus

The interpretation of cosmological observables requires the use of increasingly sophisticated theoretical models. Since these models are becoming computationally very expensive and display non-trivial uncertainties, the use of standard…

宇宙学与河外天体物理 · 物理学 2020-10-14 Marcos Pellejero-Ibañez , Raul E. Angulo , Giovanni Aricó , Matteo Zennaro , Sergio Contreras , Jens Stücker

The inspiral, merger, and ringdown of Massive Black Hole Binaries (MBHBs) is one the main sources of Gravitational Waves (GWs) for the future Laser Interferometer Space Antenna (LISA), an ESA-led mission in the implementation phase. It is…

广义相对论与量子宇宙学 · 物理学 2025-03-25 Iván Martín Vílchez , Carlos F. Sopuerta

Inference for continuous-time Markov chains (CTMCs) becomes challenging when the process is only observed at discrete time points. The exact likelihood is intractable, and existing methods often struggle even in medium-dimensional…

统计方法学 · 统计学 2025-07-23 Tao Tang , Lachlan Astfalck , David Dunson

This paper introduces a framework for speeding up Bayesian inference conducted in presence of large datasets. We design a Markov chain whose transition kernel uses an (unknown) fraction of (fixed size) of the available data that is randomly…

统计方法学 · 统计学 2018-06-01 Florian Maire , Nial Friel , Pierre Alquier

Simulation-Based Inference (SBI) is a promising Bayesian inference framework that alleviates the need for analytic likelihoods to estimate posterior distributions. Recent advances using neural density estimators in SBI algorithms have…

天体物理仪器与方法 · 物理学 2022-07-13 Justine Zeghal , François Lanusse , Alexandre Boucaud , Benjamin Remy , Eric Aubourg

Large spatial datasets with non-Gaussian responses are increasingly common in environmental monitoring, ecology, and remote sensing, yet scalable Bayesian inference for such data remains challenging. Markov chain Monte Carlo (MCMC) methods…

统计方法学 · 统计学 2025-12-02 Jin Hyung Lee , Ben Seiyon Lee

Several rapid parameter estimation methods have recently been advanced to deal with the computational challenges of the problem of Bayesian inference of the properties of compact binary sources detected in the upcoming science runs of the…

广义相对论与量子宇宙学 · 物理学 2023-12-05 Lalit Pathak , Amit Reza , Anand S. Sengupta

Simulation-based inference (SBI) offers a flexible and general approach to performing Bayesian inference: In SBI, a neural network is trained on synthetic data simulated from a model and used to rapidly infer posterior distributions for…

机器学习 · 计算机科学 2025-10-28 Julius Vetter , Manuel Gloeckler , Daniel Gedon , Jakob H. Macke

Single-molecule force spectroscopy (smFS) is a powerful approach to studying molecular self-organization. However, the coupling of the molecule with the ever-present experimental device introduces artifacts, that complicates the…

化学物理 · 物理学 2023-04-25 Lars Dingeldein , Pilar Cossio , Roberto Covino

Gravitational waves emitted by a ringing black hole allow us to perform precision tests of general relativity in the strong field regime. With improvements to our current gravitational wave detectors and upcoming next-generation detectors,…

广义相对论与量子宇宙学 · 物理学 2024-12-04 Costantino Pacilio , Swetha Bhagwat , Roberto Cotesta

Strong gravitational lenses are a singular probe of the universe's small-scale structure $\unicode{x2013}$ they are sensitive to the gravitational effects of low-mass $(<10^{10} M_\odot)$ halos even without a luminous counterpart. Recent…

宇宙学与河外天体物理 · 物理学 2024-04-24 Sebastian Wagner-Carena , Jaehoon Lee , Jeffrey Pennington , Jelle Aalbers , Simon Birrer , Risa H. Wechsler

Comparison of appropriate models to describe observational data is a fundamental task of science. The Bayesian model evidence, or marginal likelihood, is a computationally challenging, yet crucial, quantity to estimate to perform Bayesian…

宇宙学与河外天体物理 · 物理学 2023-11-10 A. Spurio Mancini , M. M. Docherty , M. A. Price , J. D. McEwen

This work introduces a new method designed for Bayesian deep learning called scalable Bayesian Monte Carlo (SBMC). The method is comprised of a model and an algorithm. The model interpolates between a point estimator and the posterior. The…

The direct detection of gravitational waves (GWs) by LIGO has strikingly confirmed general relativity (GR), but testing GR via GWs requires estimating parameterized post-Einsteinian (ppE) deviation parameters in waveform models. Traditional…

天体物理仪器与方法 · 物理学 2026-02-03 Yong-Xin Zhang , Tian-Yang Sun , Chun-Yu Xiong , Song-Tao Liu , Yu-Xin Wang , Shang-Jie Jin , Jing-Fei Zhang , Xin Zhang

Scientists and engineers use simulators to model empirically observed phenomena. However, tuning the parameters of a simulator to ensure its outputs match observed data presents a significant challenge. Simulation-based inference (SBI)…

Bayesian inference for Markov processes has become increasingly relevant in recent years. Problems of this type often have intractable likelihoods and prior knowledge about model rate parameters is often poor. Markov Chain Monte Carlo…

统计计算 · 统计学 2014-10-23 Jamie Owen , Darren J. Wilkinson , Colin S. Gillespie

Type Ia supernovae (SNe Ia) are standarizable candles whose observed light curves can be used to infer their distances, which can in turn be used in cosmological analyses. As the quantity of observed SNe Ia grows with current and upcoming…

天体物理仪器与方法 · 物理学 2024-10-29 Ana Sofía M. Uzsoy , Stephen Thorp , Matthew Grayling , Kaisey S. Mandel

Simulation-Based Inference (SBI) offers a principled and flexible framework for conducting Bayesian inference in any situation where forward simulations are feasible. However, validating the accuracy and reliability of the inferred…

天体物理仪器与方法 · 物理学 2026-01-21 James Alvey , Carlo R. Contaldi , Mauro Pieroni