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In this paper we briefly review the main methodological aspects concerned with the application of the Bayesian approach to model choice and model averaging in the context of variable selection in regression models. This includes prior…

统计计算 · 统计学 2016-12-08 Anabel Forte , Gonzalo Garcia-Donato , Mark Steel

Although linear regression models are fundamental tools in statistical science, the estimation results can be sensitive to outliers. While several robust methods have been proposed in frequentist frameworks, statistical inference is not…

统计方法学 · 统计学 2020-07-15 Shintaro Hashimoto , Shonosuke Sugasawa

A density estimation method in a Bayesian nonparametric framework is presented when recorded data are not coming directly from the distribution of interest, but from a length biased version. From a Bayesian perspective, efforts to…

统计理论 · 数学 2015-10-23 Spyridon J. Hatjispyros , Theodoros Nicoleris , Stephen G. Walker

Determining if two histograms are consistent, whether they have been drawn from the same underlying distribution or not, is a common problem in physics. Existing approaches are not only limited in power but also inapplicable to histograms…

数据分析、统计与概率 · 物理学 2010-09-29 M. J. Betancourt

Linear spectral mixture models (LMM) provide a concise form to disentangle the constituent materials (endmembers) and their corresponding proportions (abundance) in a single pixel. The critical challenges are how to model the spectral prior…

计算机视觉与模式识别 · 计算机科学 2025-12-11 Yimin Zhu , Lincoln Linlin Xu

Recently, 3D Gaussian Splatting has emerged as a promising approach for modeling 3D scenes using mixtures of Gaussians. The predominant optimization method for these models relies on backpropagating gradients through a differentiable…

计算机视觉与模式识别 · 计算机科学 2025-09-24 Toon Van de Maele , Ozan Catal , Alexander Tschantz , Christopher L. Buckley , Tim Verbelen

We present a continuation method that entails generating a sequence of transition probability density functions from the prior to the posterior in the context of Bayesian inference for parameter estimation problems. The characterization of…

统计计算 · 统计学 2019-11-27 Ben Mansour Dia

This article concerns testing for equality of distribution between groups. We focus on screening variables with shared distributional features such as common support, modes and patterns of skewness. We propose a Bayesian testing method…

统计方法学 · 统计学 2016-02-19 Eric F. Lock , David B. Dunson

In many practices, scientists are particularly interested in detecting which of the predictors are truly associated with a multivariate response. It is more accurate to model multiple responses as one vector rather than separating each…

统计方法学 · 统计学 2021-11-16 Xiaotian Dai , Guifang Fu , Randall Reese , Shaofei Zhao , Zuofeng Shang

When computer codes are used for modeling complex physical systems, their unknown parameters are tuned by calibration techniques. A discrepancy function may be added to the computer code in order to capture its discrepancy with the real…

统计方法学 · 统计学 2019-03-11 Kaniav Kamary , Merlin Keller , Pierre Barbillon , Cédric Gœury , Éric Parent

Sequential probabilistic inference from streaming observations requires modeling distributions over future trajectories as new observations arrive. Although diffusion and flow-matching models are effective at capturing high-dimensional,…

机器学习 · 计算机科学 2026-05-15 Yinan Huang , Hans Hao-Hsun Hsu , Junran Wang , Bo Dai , Pan Li

Identifying variables associated with clinical endpoints is of much interest in clinical trials. With the rapid growth of cell and gene therapy (CGT) and therapeutics for ultra-rare diseases, there is an urgent need for statistical methods…

统计方法学 · 统计学 2025-11-18 Lingxuan Kong , Yumin Zhang , Chenkun Wang , Yaoyuan Vincent Tan

We report an exact analytical solution of so-called positron diffusion trapping model. This model have been widely used for the treatment of the experimental data for defect profiling of the adjoin surface layer using the variable energy…

材料科学 · 物理学 2015-06-16 V. A. Stephanovich , J. Dryzek

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

1. Natural sounds have been recorded for millions of hours over the previous decades using passive acoustic monitoring. Improvements in deep learning models have vastly accelerated the analysis of large portions of this data. While new…

机器学习 · 计算机科学 2026-04-14 Vincent S. Kather , Sylvain Haupert , Burooj Ghani , Dan Stowell

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

Audio-visual speaker tracking has drawn increasing attention over the past few years due to its academic values and wide applications. Audio and visual modalities can provide complementary information for localization and tracking. With…

This work presents a multiscale model reduction approach to discontinuous fields identification problems in the framework of Bayesian inference. An ensemble-based variable separation (VS) method is proposed to approximate multiscale basis…

数值分析 · 数学 2019-05-31 Na Ou , Guang Lin , Lijian Jiang

Bayesian paradigm takes advantage of well fitting complicated survival models and feasible computing in survival analysis owing to the superiority in tackling the complex censoring scheme, compared with the frequentist paradigm. In this…

统计方法学 · 统计学 2021-09-10 Chong Zhong , Zhihua Ma , Junshan Shen , Catherine Liu

We develop a general class of Bayesian repulsive Gaussian mixture models that encourage well-separated clusters, aiming at reducing potentially redundant components produced by independent priors for locations (such as the Dirichlet…

统计方法学 · 统计学 2017-10-24 Fangzheng Xie , Yanxun Xu