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Estimating parameters of mixture model has wide applications ranging from classification problems to estimating of complex distributions. Most of the current literature on estimating the parameters of the mixture densities are based on…

机器学习 · 统计学 2020-06-23 Yuantong Li , Qi Ma , Sujit K. Ghosh

This paper presents a Bayesian parameter estimation approach and identifiability analysis for a lithium-ion battery model, to determine the uniqueness, evaluate the sensitivity and quantify the uncertainty of a subset of the model…

系统与控制 · 电气工程与系统科学 2023-09-04 Antti Aitio , Scott G. Marquis , Pedro Ascencio , David Howey

We propose a model to study symmetric binary fluids, based in the mesoscopic molecular simulation technique known as multiparticle collision, where space and state variables are continuous while time is discrete. We include a repulsion rule…

适应与自组织系统 · 物理学 2016-06-22 C. Echeverria , K. Tucci , O. Alvarez-Llamoza , E. E. Orozco-Guillén , M. Morales , M. G. Cosenza

We show that density models describing multiple observables with (i) hard boundaries and (ii) dependence on external parameters may be created using an auto-regressive Gaussian mixture model. The model is designed to capture how observable…

数据分析、统计与概率 · 物理学 2022-02-01 Stephen B. Menary , Darren D. Price

In this paper, we explore the determination of a spectral emissivity profile that closely matches real data, intended for use as an initial guess and/or a-priori information in a retrieval code. Our approach employs a Bayesian method that…

应用统计 · 统计学 2024-07-11 Luca Sgheri , Cristina Sgattoni , Chiara Zugarini

I discuss an issue arising in analyzing data from astronomical surveys: accounting for measurement uncertainties in the properties of individual sources detected in a survey when making inferences about the entire population of sources.…

天体物理学 · 物理学 2009-11-10 Thomas J. Loredo

A method is developed for estimating the emission rates of contaminants into the atmosphere from multiple point sources using measurements of particulate material deposited at ground level. The approach is based on a Gaussian plume type…

大气与海洋物理 · 物理学 2010-06-11 Enkeleida Lushi , John M. Stockie

I describe ongoing work developing Bayesian methods for flexible modeling of arrival time series data without binning, aiming to improve detection and measurement of X-ray and gamma-ray pulsars, and of pulses in gamma-ray bursts. The…

天体物理仪器与方法 · 物理学 2015-06-03 Thomas J. Loredo

In underwater acoustics, shallow water environments act as modal dispersive waveguides when considering low-frequency sources. In this context, propagating signals can be described as a sum of few modal components, each of them propagating…

信号处理 · 电气工程与系统科学 2020-12-01 Clément Dorffer , Thomas Paviet-Salomon , Gilles Le Chenadec , Angélique Drémeau

We present an uncertainty quantification methodology for density estimation from Background Oriented Schlieren (BOS) measurements, in order to provide local, instantaneous, a-posteriori uncertainty bounds on each density measurement in the…

Scientists use imaging to identify objects of interest and infer properties of these objects. The locations of these objects are often measured with error, which when ignored leads to biased parameter estimates and inflated variance.…

Wastewater monitoring is an effective approach for the early detection of viral and bacterial disease outbreaks. It has recently been used to identify the presence of individuals infected with COVID-19. To monitor large communities and…

社会与信息网络 · 计算机科学 2023-12-29 Kalvik Jakkala , Srinivas Akella

When recording the movement of individual animals, cells or molecules one will often observe changes in their diffusive behaviour at certain points in time along their trajectory. In order to capture the different diffusive modes assembled…

统计力学 · 物理学 2024-10-21 Henrik Seckler , Ralf Metzler

One of the big challenges in astrophysics is the comparison of complex simulations to observations. As many codes do not directly generate observables (e.g. hydrodynamic simulations), the last step in the modelling process is often a…

天体物理仪器与方法 · 物理学 2018-05-08 Frederik Beaujean , Hans C. Eggers , Wolfgang E. Kerzendorf

We describe a method for detecting, locating and quantifying sources of gas emissions to the atmosphere using remotely obtained gas concentration data; the method is applicable to gases of environmental concern. We demonstrate its…

This study discusses acoustic dissipation, which contributes to inaccuracies in impedance tube measurements. To improve the accuracy of these measurements, this paper introduces a transfer function model that integrates diverse dissipation…

经典物理 · 物理学 2024-03-27 Ziqi Chen , Ning Xiang

We present a rigorous description of the general problem of aperture photometry in high energy astrophysics photon-count images, in which the statistical noise model is Poisson, not Gaussian. We compute the full posterior probability…

天体物理仪器与方法 · 物理学 2015-06-23 F. A. Primini , V. L. Kashyap

This paper addresses a detection problem where several spatially distributed sensors independently observe a time-inhomogeneous stochastic process. The task is to decide between two hypotheses regarding the statistics of the observed…

概率论 · 数学 2012-10-05 Chetan D. Pahlajani , Ioannis Poulakakis , Herbert G. Tanner

The means to obtain the rate constants of a chemical reaction is a fundamental open problem in both science and the industry. Traditional techniques for finding rate constants require either chemical modifications of the reactants or…

统计理论 · 数学 2019-07-09 Y. Zhang , Z. Yao , P. Forssen , T. Fornstedt

The rapidly increasing complexity of (mainly wireless) ad-hoc networks stresses the need of reliable distributed estimation of several variables of interest. The widely used centralized approach, in which the network nodes communicate their…

信息论 · 计算机科学 2015-03-20 K. Dedecius , V. Sečkárová