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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

Modeling yield stress fluids in complex flow scenarios presents significant challenges, particularly because conventional rheological characterization methods often yield material parameters that are not fully representative of the…

Bayesian calibration of black-box computer models offers an established framework to obtain a posterior distribution over model parameters. Traditional Bayesian calibration involves the emulation of the computer model and an additive model…

机器学习 · 统计学 2018-10-30 Sébastien Marmin , Maurizio Filippone

Quantifying and reducing uncertainty in Earth system model parameterizations is essential to improving their reliability in decision-making. Forward uncertainty propagation is used to derive parameter sensitivity but requires physically…

大气与海洋物理 · 物理学 2026-04-22 Ethan YoungIn Shin , Baris Kale , Michael F. Howland

This manuscript proposes a novel empirical Bayes technique for regularizing regression coefficients in predictive models. When predictions from a previously published model are available, this empirical Bayes method provides a natural…

Neural network ensembles, such as Bayesian neural networks (BNNs), have shown success in the areas of uncertainty estimation and robustness. However, a crucial challenge prohibits their use in practice. BNNs require a large number of…

机器学习 · 计算机科学 2022-07-15 Namuk Park , Songkuk Kim

Improving the understanding of signal and background distributions in signal-region is a valuable key to enhance any analysis in collider physics. This is usually a difficult task because -- among others -- signal and backgrounds are hard…

高能物理 - 唯象学 · 物理学 2025-11-26 Ezequiel Alvarez , Manuel Szewc , Alejandro Szynkman , Santiago Tanco , Tatiana Tarutina

Rapidly growing catalogs of compact binary mergers from advanced gravitational-wave detectors allow us to explore the astrophysics of massive stellar binaries. Merger observations can constrain the uncertain parameters that describe the…

太阳与恒星天体物理 · 物理学 2023-06-28 Jeff Riley , Ilya Mandel

In order to extract information about the properties of compact binaries, we must estimate the noise power spectral density of gravitational-wave data, which depends on the properties of the gravitational-wave detector. In practice, it is…

天体物理仪器与方法 · 物理学 2020-06-18 Colm Talbot , Eric Thrane

Ensembles of neural networks (NNs) have long been used to estimate predictive uncertainty; a small number of NNs are trained from different initialisations and sometimes on differing versions of the dataset. The variance of the ensemble's…

机器学习 · 计算机科学 2018-11-30 Tim Pearce , Mohamed Zaki , Andy Neely

Verifying the correctness of Bayesian computation is challenging. This is especially true for complex models that are common in practice, as these require sophisticated model implementations and algorithms. In this paper we introduce…

统计方法学 · 统计学 2020-10-22 Sean Talts , Michael Betancourt , Daniel Simpson , Aki Vehtari , Andrew Gelman

Divergence is not only an important mathematical concept in information theory, but also applied to machine learning problems such as low-dimensional embedding, manifold learning, clustering, classification, and anomaly detection. We…

统计计算 · 统计学 2016-11-22 Kun Yang , Hao Su , Wing Hung Wong

Central banks rely on density forecasts from professional surveys to assess inflation risks and communicate uncertainty. A central challenge in using these surveys is irregular participation: forecasters enter and exit, skip rounds, and…

应用统计 · 统计学 2026-02-06 Matthew C. Johnson , Matteo Luciani , Minzhengxiong Zhang , Kenichiro McAlinn

We present a Bayesian inference approach to estimating the cumulative mass profile and mean squared velocity profile of a globular cluster given the spatial and kinematic information of its stars. Mock globular clusters with a range of…

星系天体物理 · 物理学 2022-03-09 Gwendolyn M. Eadie , Jeremy J. Webb , Jeffrey S. Rosenthal

The formation and evolution of binary stars is a critical component of several fields in astronomy. The most numerous sources for gravitational wave observatories are inspiraling and/or merging compact binaries, while binary stars are…

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

Many statistical models can be simulated forwards but have intractable likelihoods. Approximate Bayesian Computation (ABC) methods are used to infer properties of these models from data. Traditionally these methods approximate the posterior…

机器学习 · 统计学 2018-04-03 George Papamakarios , Iain Murray

To quantify how well theoretical predictions of structural ensembles agree with experimental measurements, we depend on the accuracy of forward models. These models are computational frameworks that generate observable quantities from…

生物物理 · 物理学 2025-11-04 Robert M. Raddi , Tim Marshall , Vincent A. Voelz

In this paper we perform a detailed analysis of the effect of various approximations which have been used in the literature to compute the detection rates of compact binary coalescences for interferometric gravitational wave detectors. We…

宇宙学与河外天体物理 · 物理学 2012-06-18 G. Corvino , V. Ferrari , S. Marassi , R. Schneider

Normalizing flows can generate complex target distributions and thus show promise in many applications in Bayesian statistics as an alternative or complement to MCMC for sampling posteriors. Since no data set from the target posterior…

机器学习 · 统计学 2021-07-19 Marylou Gabrié , Grant M. Rotskoff , Eric Vanden-Eijnden
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