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Bayesian inference is applied to the level fluctuations of two coupled microwave billiards in order to extract the coupling strength. The coupled resonators provide a model of a chaotic quantum system containing two coupled symmetry classes…

数据分析、统计与概率 · 物理学 2009-10-31 C. I. Barbosa , H. L. Harney

This dissertation shows that careful injection of noise into sample data can substantially speed up Expectation-Maximization algorithms. Expectation-Maximization algorithms are a class of iterative algorithms for extracting maximum…

机器学习 · 统计学 2014-11-26 Osonde Adekorede Osoba

Machine learning methods for computational imaging require uncertainty estimation to be reliable in real settings. While Bayesian models offer a computationally tractable way of recovering uncertainty, they need large data volumes to be…

机器学习 · 计算机科学 2020-08-24 Francesco Tonolini , Jack Radford , Alex Turpin , Daniele Faccio , Roderick Murray-Smith

We present in this paper a Bayesian parameter estimation method for the analysis of interferometric gravitational wave observations of an inspiral of binary compact objects using data recorded simultaneously by a network of several…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Christian Röver , Renate Meyer , Gianluca M. Guidi , Andrea Viceré , Nelson Christensen

The rapid advancement of data science and artificial intelligence has affected physics in numerous ways, including the application of Bayesian inference, setting the stage for a revolution in research methodology. Our group has proposed…

数据分析、统计与概率 · 物理学 2024-08-28 Shun Katakami , Shuhei Kashiwamura , Kenji Nagata , Masaichiro Mizumaki , Masato Okada

Neural nets have become popular to accelerate parameter inferences, especially for the upcoming generation of galaxy surveys in cosmology. As neural nets are approximative by nature, a recurrent question has been how to propagate the neural…

天体物理仪器与方法 · 物理学 2022-07-25 Daniela Grandón , Elena Sellentin

We introduce a computational framework to statistically infer thermophysical properties of any given wall from in-situ measurements of air temperature and surface heat fluxes. The proposed framework uses these measurements, within a…

应用统计 · 统计学 2018-08-16 Lia De Simon , Marco Iglesias , Benjamin Jones , Christopher Wood

This paper develops a mathematical and computational framework for analyzing the expected performance of Bayesian data fusion, or joint statistical inference, within a sensor network. We use variational techniques to obtain the posterior…

统计理论 · 数学 2016-02-23 Gaurav Thakur

We consider inference from non-random samples in data-rich settings where high-dimensional auxiliary information is available both in the sample and the target population, with survey inference being a special case. We propose a regularized…

统计方法学 · 统计学 2021-04-13 Yutao Liu , Andrew Gelman , Qixuan Chen

This survey provides a comprehensive overview of the emerging field of world models grounded in the foundation of acoustic physical information. It examines the theoretical underpinnings, essential methodological frameworks, and recent…

声音 · 计算机科学 2025-06-18 Xiaoliang Chen , Le Chang , Xin Yu , Yunhe Huang , Xianling Tu

Bayesian models often involve a small set of hyperparameters determined by maximizing the marginal likelihood. Bayesian optimization is a popular iterative method where a Gaussian process posterior of the underlying function is sequentially…

统计计算 · 统计学 2022-08-18 Oskar Gustafsson , Mattias Villani , Pär Stockhammar

In this work, we aim to establish a Bayesian adaptive learning framework by focusing on estimating latent variables in deep neural network (DNN) models. Latent variables indeed encode both transferable distributional information and…

音频与语音处理 · 电气工程与系统科学 2024-01-26 Hu Hu , Sabato Marco Siniscalchi , Chin-Hui Lee

Most measurement methods based on ultrasound, such as sound velocity, absorption or flow measurement systems, require that the acoustic wave propagation is linear. In many cases, linear wave propagation is assumed due to small signal…

流体动力学 · 物理学 2020-01-17 Leander Claes , Carolin Steidl , Tim Hetkämper , Bernd Henning

Nonlinear dynamics are ubiquitous in science and engineering applications, but the physics of most complex systems is far from being fully understood. Discovering interpretable governing equations from measurement data can help us…

机器学习 · 计算机科学 2022-10-18 Luning Sun , Daniel Zhengyu Huang , Hao Sun , Jian-Xun Wang

The sparse Beyesian learning (also referred to as Bayesian compressed sensing) algorithm is one of the most popular approaches for sparse signal recovery, and has demonstrated superior performance in a series of experiments. Nevertheless,…

信息论 · 计算机科学 2015-01-21 Fuwei Li , Jun Fang , Huiping Duan , Zhi Chen , Hongbin Li

We present a new method to propagate lower bounds on conditional probability distributions in conventional Bayesian networks. Our method guarantees to provide outer approximations of the exact lower bounds. A key advantage is that we can…

人工智能 · 计算机科学 2012-05-14 Daniel Andrade , Bernhard Sick

Acoustic fields scattered by poroelastic materials contain key information about the materials' pore structure and elastic properties. Therefore, such materials are often characterised with inverse methods that use acoustic measurements.…

计算物理 · 物理学 2019-05-22 Matti Niskanen , Olivier Dazel , Jean-Philippe Groby , Aroune Duclos , Timo Lähivaara

We apply Bayesian statistics to the estimation of correlation functions. We give the probability distributions of auto- and cross-correlations as functions of the data. Our procedure uses the measured data optimally and informs about the…

数据分析、统计与概率 · 物理学 2022-12-27 Angel Gutierrez-Rubio , Juan S. Rojas-Arias , Jun Yoneda , Seigo Tarucha , Daniel Loss , Peter Stano

Imaging methods based on array signal processing often require a fixed propagation speed of the medium, or speed of sound (SoS) for methods based on acoustic signals. The resolution of the images formed using these methods is strongly…

信号处理 · 电气工程与系统科学 2025-09-17 Kyurae Kim , Simon Maskell , Jason F. Ralph

We study the application of a Bayesian method to extract relevant information from data for the case of a signal consisting of two or more decaying particles and its background. The method takes advantage of the dependence that exists in…

高能物理 - 唯象学 · 物理学 2023-06-06 Ezequiel Alvarez
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