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We develop the Bayesian Wasserstein repulsive Gaussian mixture model that promotes well-separated clusters. Unlike existing repulsive mixture approaches that focus on separating the component means, our method encourages separation between…

统计方法学 · 统计学 2025-05-01 Weipeng Huang , Tin Lok James Ng

Exposure assessment models are deterministic models derived from physical-chemical laws. In real workplace settings, chemical concentration measurements can be noisy and indirectly measured. In addition, inference on important parameters…

应用统计 · 统计学 2018-07-09 Nada Abdalla , Sudipto Banerjee , Gurumurthy Ramachandran , Susan Arnold

Spatio-temporal prediction of levels of an environmental exposure is an important problem in environmental epidemiology. Our work is motivated by multiple studies on the spatio-temporal distribution of mobile source, or traffic related,…

应用统计 · 统计学 2014-11-14 Nikolay Bliznyuk , Christopher J. Paciorek , Joel Schwartz , Brent Coull

In this paper we apply a Bayesian framework to the problem of geodesic curve matching. Given a template curve, the geodesic equations provide a mapping from initial conditions for the conjugate momentum onto topologically equivalent shapes.…

概率论 · 数学 2015-06-12 C. J. Cotter , S. L. Cotter , F. -X. Vialard

We present the Gaussian process density sampler (GPDS), an exchangeable generative model for use in nonparametric Bayesian density estimation. Samples drawn from the GPDS are consistent with exact, independent samples from a distribution…

统计计算 · 统计学 2009-12-25 Ryan Prescott Adams , Iain Murray , David J. C. MacKay

Understanding the sources that contribute to fine particulate matter (PM$_{2.5}$) is of crucial importance for designing and implementing targeted air pollution mitigation strategies. Determining what factors contribute to a pollutant's…

应用统计 · 统计学 2025-11-03 Michela Frigeri , Veronica Berrocal , Alessandra Guglielmi

Adverse weather conditions, particularly convective phenomena, pose significant challenges to Air Traffic Management, often requiring real-time rerouting decisions that impact efficiency and safety. This study introduces a 3-D Gaussian…

机器学习 · 计算机科学 2025-04-09 G. Lancia , D. Falanga , S. Alam , G. Lulli

This paper introduces a computationally efficient algorithm in system theory for solving inverse problems governed by linear partial differential equations (PDEs). We model solutions of linear PDEs using Gaussian processes with priors…

机器学习 · 统计学 2025-06-16 Xin Li , Markus Lange-Hegermann , Bogdan Raiţă

Derivative-free Bayesian inversion is an important task in many science and engineering applications, particularly when computing the forward model derivative is computationally and practically challenging. In this paper, we introduce…

机器学习 · 计算机科学 2026-01-06 Hongkai Zheng , Austin Wang , Zihui Wu , Zhengyu Huang , Ricardo Baptista , Yisong Yue

Bayesian inference provides a rigorous methodology for estimation and uncertainty quantification of parameters in geophysical forward models. Badlands (basin and landscape dynamics model) is a landscape evolution model that simulates…

地球物理 · 物理学 2021-07-06 Rohitash Chandra , Danial Azam , R. Dietmar Müller , Tristan Salles , Sally Cripps

The declining response rates in probability surveys along with the widespread availability of unstructured data has led to growing research into non-probability samples. Existing robust approaches are not well-developed for non-Gaussian…

统计方法学 · 统计学 2022-03-29 Ali Rafei , Michael R. Elliott , Carol A. C. Flannagan

The problem of estimating the dynamic direction of arrival of far field signals impinging on a uniform linear array, with mutual coupling effects, is addressed. This work proposes two novel approaches able to provide accurate solutions,…

信息论 · 计算机科学 2017-02-15 Matthew Hawes , Lyudmila Mihaylova , François Septier , Simon Godsill

In this paper we investigate the Bayesian approach to inverse Robin problems. These are problems for certain elliptic boundary value problems of determining a Robin coefficient on a hidden part of the boundary from Cauchy data on the…

In high-dimensional Bayesian statistics, various methods have been developed, including prior distributions that induce parameter sparsity to handle many parameters. Yet, these approaches often overlook the rich spectral structure of the…

统计理论 · 数学 2025-05-06 Tomoya Wakayama , Masaaki Imaizumi

We deal with Bayesian inference for Beta autoregressive processes. We restrict our attention to the class of conditionally linear processes. These processes are particularly suitable for forecasting purposes, but are difficult to estimate…

统计理论 · 数学 2010-08-03 R. Casarin , L. Dalla Valle , F. Leisen

We consider the problem of inference for the states and parameters of a continuous-time multitype branching process from partially observed time series data. Exact inference for this class of models, typically using sequential Monte Carlo,…

统计方法学 · 统计学 2025-12-01 Angus Lewis , Antonio Parrella , John Maclean , Andrew J. Black

A nonparametric Bayes approach is proposed for the problem of estimating a sparse sequence based on Gaussian random variables. We adopt the popular two-group prior with one component being a point mass at zero, and the other component being…

统计方法学 · 统计学 2017-05-31 Yunbo Ouyang , Feng Liang

Bayesian approaches are one of the primary methodologies to tackle an inverse problem in high dimensions. Such an inverse problem arises in hydrology to infer the permeability field given flow data in a porous media. It is common practice…

统计方法学 · 统计学 2023-10-02 Navid Shervani-Tabar

State-of-the-art techniques in passive particle-tracking microscopy provide high-resolution path trajectories of diverse foreign particles in biological fluids. For particles on the order of 1 micron diameter, these paths are generally…

This paper deals with Bayesian inference of a mixture of Gaussian distributions. A novel formulation of the mixture model is introduced, which includes the prior constraint that each Gaussian component is always assigned a minimal number of…

统计方法学 · 统计学 2014-05-21 Colin J. Stoneking