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This paper studies a Bayesian estimation procedure for single-hidden-layer neural networks using $\ell_{1}$ controlled weights. We study the structure of the posterior density and provide a representation that makes it amenable to rapid…

统计理论 · 数学 2025-03-20 Curtis McDonald , Andrew R. Barron

In the gravitational-wave analysis of pulsar-timing-array datasets, parameter estimation is usually performed using Markov Chain Monte Carlo methods to explore posterior probability densities. We introduce an alternative procedure that…

广义相对论与量子宇宙学 · 物理学 2024-05-16 Michele Vallisneri , Marco Crisostomi , Aaron D. Johnson , Patrick M. Meyers

Accurate parameter estimation from cosmic microwave background data requires reliable likelihood modeling, particularly at large angular scales where angular power spectrum estimators exhibit non-Gaussian statistics. We present a novel…

宇宙学与河外天体物理 · 物理学 2025-12-23 Giacomo Galloni , Paolo Campeti , Luca Pagano , Martina Gerbino , Massimiliano Lattanzi , Paolo Natoli

We introduce new modules in the open-source PyCBC gravitational- wave astronomy toolkit that implement Bayesian inference for compact-object binary mergers. We review the Bayesian inference methods implemented and describe the structure of…

天体物理仪器与方法 · 物理学 2019-01-23 C. M. Biwer , Collin D. Capano , Soumi De , Miriam Cabero , Duncan A. Brown , Alexander H. Nitz , V. Raymond

This review provides a conceptual and technical survey of methods for parameter estimation of gravitational wave signals in ground-based interferometers such as LIGO and Virgo. We introduce the framework of Bayesian inference and provide an…

广义相对论与量子宇宙学 · 物理学 2024-07-01 Javier Roulet , Tejaswi Venumadhav

The B-mode polarization of the cosmic microwave background (CMB) provides a unique window into tensor perturbations from inflationary gravitational waves. Survey effects complicate the estimation and description of the power spectrum on the…

宇宙学与河外天体物理 · 物理学 2016-09-28 Eric R. Switzer , Duncan J. Watts

Approximate Bayesian computation methods are useful for generative models with intractable likelihoods. These methods are however sensitive to the dimension of the parameter space, requiring exponentially increasing resources as this…

统计计算 · 统计学 2026-02-09 Grégoire Clarté , Christian P. Robert , Robin Ryder , Julien Stoehr

By adopting a Multilevel Monte Carlo (MLMC) framework, we show that only a handful of costly fine scale computations are needed to accurately estimate statistics of the failure of a composite structure, as opposed to the thousands typically…

数值分析 · 数学 2019-07-25 T. J. Dodwell , S. Kinston , R. Butler , R. T. Haftka , Nam H. Kim , R. Scheichl

In the last two decades, the linear model of coregionalization (LMC) has been widely used to model multivariate spatial processes. However, it can be a challenging task to conduct likelihood-based inference for such models because of the…

统计方法学 · 统计学 2024-12-04 Renaud Alie , David A. Stephens , Alexandra M. Schmidt

Likelihood-free methods, such as approximate Bayesian computation, are powerful tools for practical inference problems with intractable likelihood functions. Markov chain Monte Carlo and sequential Monte Carlo variants of approximate…

统计计算 · 统计学 2019-02-26 David J. Warne , Ruth E. Baker , Matthew J. Simpson

We advocate for a new paradigm of cosmological likelihood-based inference, leveraging recent developments in machine learning and its underlying technology, to accelerate Bayesian inference in high-dimensional settings. Specifically, we…

宇宙学与河外天体物理 · 物理学 2024-09-06 Davide Piras , Alicja Polanska , Alessio Spurio Mancini , Matthew A. Price , Jason D. McEwen

Efficient multi-dimensional template placement is crucial in computationally intensive matched-filtering searches for Gravitational Waves (GWs). Here, we implement the Neighboring Cell Algorithm (NCA) to improve the detection volume of an…

广义相对论与量子宇宙学 · 物理学 2018-06-13 Nathaniel Indik , Henning Fehrmann , Franz Harke , Badri Krishnan , Alex B. Nielsen

The Planck satellite, along with several ground based telescopes, have mapped the cosmic microwave background (CMB) at sufficient resolution and signal-to-noise so as to allow a detection of the subtle distortions due to the gravitational…

宇宙学与河外天体物理 · 物理学 2015-08-06 Ethan Anderes , Benjamin Wandelt , Guilhem Lavaux

We present a method for efficiently searching long-duration gravitational wave signals from compact binary coalescences (CBCs). The approach exploits the smooth frequency-domain behavior of ratios between neighboring waveform templates. The…

广义相对论与量子宇宙学 · 物理学 2026-03-16 Yasuhiro Murakami , Tathagata Ghosh , Soichiro Morisaki

Rapid and robust parameter estimation of gravitational-wave sources is a key component of modern multi-messenger astronomy. We present a novel and straightforward method for rapid parameter estimation of gravitational-wave sources that uses…

天体物理仪器与方法 · 物理学 2025-07-31 Alexander Harvey Nitz

Likelihood-free inference for simulator-based statistical models has developed rapidly from its infancy to a useful tool for practitioners. However, models with more than a handful of parameters still generally remain a challenge for the…

Comparisons between observed and predicted strong lensing properties of galaxy clusters have been routinely used to claim either tension or consistency with $\Lambda$CDM cosmology. However, standard approaches to such cosmological tests are…

Future ground-based and space-borne interferometric gravitational-wave detectors may capture between tens and thousands of binary coalescence events per year. There is a significant and growing body of work on the estimation of…

高能天体物理现象 · 物理学 2010-04-23 Ilya Mandel

We introduce an algorithm to marginalize the likelihood for a gravitational wave signal from a quasi-circular binary merger over its extrinsic parameters, accounting for the effects of higher harmonics and spin-induced precession. The…

广义相对论与量子宇宙学 · 物理学 2024-08-06 Javier Roulet , Jonathan Mushkin , Digvijay Wadekar , Tejaswi Venumadhav , Barak Zackay , Matias Zaldarriaga

Gravitational waves (GWs) from stellar-mass compact binary coalescences (CBCs) are expected to be strongly lensed when encountering large agglomerations of matter, such as galaxies or clusters. Searches for strongly lensed GWs have been…

广义相对论与量子宇宙学 · 物理学 2023-06-08 Srashti Goyal , Shasvath Kapadia , Jean-Rene Cudell , Alvin K. Y. Li , Juno C. L. Chan