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Bayesian inference plays a central role in scientific and engineering applications by enabling principled reasoning under uncertainty. However, sampling from generic probability distributions remains a computationally demanding task. This…

应用统计 · 统计学 2025-09-03 Alex Leviyev , Francesco Iacovelli , Aaron Zimmerman

Climate models are generally calibrated manually by comparing selected climate statistics, such as the global top-of-atmosphere energy balance, to observations. The manual tuning only targets a limited subset of observational data and…

大气与海洋物理 · 物理学 2022-04-06 Michael F. Howland , Oliver R. A. Dunbar , Tapio Schneider

In this work, we demonstrate how to reliably estimate epistemic uncertainty while maintaining the flexibility needed to capture complicated aleatoric distributions. To this end, we propose an ensemble of Normalizing Flows (NF), which are…

机器学习 · 计算机科学 2023-10-05 Lucas Berry , David Meger

Binary population synthesis calculations and associated predictions, especially event rates, are known to depend on a significant number of input model parameters with different degrees of sensitivity. At the same time, for systems with…

天体物理学 · 物理学 2008-11-26 R. O'Shaughnessy , V. Kalogera , K. Belczynski

The recent release of the second Gravitational-Wave Transient Catalog (GWTC-2) has increased significantly the number of known GW events, enabling unprecedented constraints on formation models of compact binaries. One pressing question is…

高能天体物理现象 · 物理学 2021-04-28 Kaze W. K. Wong , Katelyn Breivik , Kyle Kremer , Thomas Callister

Diffusion models have recently driven significant breakthroughs in generative modeling. While state-of-the-art models produce high-quality samples on average, individual samples can still be low quality. Detecting such samples without human…

机器学习 · 计算机科学 2025-06-13 Metod Jazbec , Eliot Wong-Toi , Guoxuan Xia , Dan Zhang , Eric Nalisnick , Stephan Mandt

The key distinguishing property of a Bayesian approach is marginalization, rather than using a single setting of weights. Bayesian marginalization can particularly improve the accuracy and calibration of modern deep neural networks, which…

机器学习 · 计算机科学 2022-03-31 Andrew Gordon Wilson , Pavel Izmailov

We introduce a novel uncertainty estimation for classification tasks for Bayesian convolutional neural networks with variational inference. By normalizing the output of a Softplus function in the final layer, we estimate aleatoric and…

机器学习 · 计算机科学 2019-05-15 Kumar Shridhar , Felix Laumann , Marcus Liwicki

The increasing sensitivity of current and upcoming gravitational-wave (GW) detectors poses stringent requirements on the accuracy of the GW models used for data analysis. If these requirements are not met, systematic errors could dominate…

广义相对论与量子宇宙学 · 物理学 2025-08-29 Lorenzo Pompili , Alessandra Buonanno , Michael Pürrer

Bayesian inference allows expressing the uncertainty of posterior belief under a probabilistic model given prior information and the likelihood of the evidence. Predominantly, the likelihood function is only implicitly established by a…

A key factor in ensuring the accuracy of computer simulations that model physical systems is the proper calibration of their parameters based on real-world observations or experimental data. Inevitably, uncertainties arise, and Bayesian…

计算工程、金融与科学 · 计算机科学 2026-02-25 Daniel Andrés Arcones , Martin Weiser , Phaedon-Stelios Koutsourelakis , Jörg F. Unger

Unnormalized (or energy-based) models provide a flexible framework for capturing the characteristics of data with complex dependency structures. However, the application of standard Bayesian inference methods has been severely limited…

统计方法学 · 统计学 2026-03-11 Naruki Sonobe , Shonosuke Sugasawa , Daichi Mochihashi , Takeru Matsuda

Bayesian synthetic likelihood (BSL) is a popular method for performing approximate Bayesian inference when the likelihood function is intractable. In synthetic likelihood methods, the likelihood function is approximated parametrically via…

统计计算 · 统计学 2020-07-06 Jacob W. Priddle , Christopher Drovandi

Model-form uncertainties in complex mechanics systems are a major obstacle for predictive simulations. Reducing these uncertainties is critical for stake-holders to make risk-informed decisions based on numerical simulations. For example,…

流体动力学 · 物理学 2018-09-11 J. -L. Wu , J. -X. Wang , H. Xiao

We present the successful recovery of common envelope ejection efficiency assumed in a simulated population of double white dwarf binaries like those which may be observed by the future LISA mission. We simulate the formation of double…

广义相对论与量子宇宙学 · 物理学 2025-01-27 Vera Delfavero , Katelyn Breivik , Sarah Thiele , Richard O'Shaughnessy , John G. Baker

Folding uncertainty in theoretical models into Bayesian parameter estimation is necessary in order to make reliable inferences. A general means of achieving this is by marginalizing over model uncertainty using a prior distribution…

广义相对论与量子宇宙学 · 物理学 2016-03-04 Christopher J. Moore , Christopher P. L. Berry , Alvin J. K. Chua , Jonathan R. Gair

Due to its speed after training, machine learning is often envisaged as a solution to a manifold of the issues faced in gravitational-wave astronomy. Demonstrations have been given for various applications in gravitational-wave data…

广义相对论与量子宇宙学 · 物理学 2023-05-10 Jurriaan Langendorff , Alex Kolmus , Justin Janquart , Chris Van Den Broeck

We apply neural posterior estimation for fast-and-accurate hierarchical Bayesian inference of gravitational wave populations. We use a normalizing flow to estimate directly the population hyper-parameters from a collection of individual…

广义相对论与量子宇宙学 · 物理学 2024-04-09 Konstantin Leyde , Stephen R. Green , Alexandre Toubiana , Jonathan Gair

The vast majority of stochastic simulation models are imperfect in that they fail to exactly emulate real system dynamics. The inexactness of the simulation model, or model discrepancy, can impact the predictive accuracy and usefulness of…

统计方法学 · 统计学 2017-07-21 Matthew Plumlee , Henry Lam

Computer models are used to model complex processes in various disciplines. Often, a key source of uncertainty in the behavior of complex computer models is uncertainty due to unknown model input parameters. Statistical computer model…

统计方法学 · 统计学 2013-08-02 Won Chang , Murali Haran , Roman Olson , Klaus Keller