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In the realm of statistical learning, the increasing volume of accessible data and increasing model complexity necessitate robust methodologies. This paper explores two branches of robust Bayesian methods in response to this trend. The…

统计方法学 · 统计学 2024-12-02 Masahiro Tanaka

In this paper we consider a network of spatially distributed sensors which collect measurement samples of a spatial field, and aim at estimating in a distributed way (without any central coordinator) the entire field by suitably fusing all…

系统与控制 · 计算机科学 2018-05-23 Francesco Sasso , Angelo Coluccia , Giuseppe Notarstefano

In this paper we introduce a novel Bayesian data augmentation approach for estimating the parameters of the generalised logistic regression model. We propose a P\'olya-Gamma sampler algorithm that allows us to sample from the exact…

统计方法学 · 统计学 2020-12-22 Luciana Dalla Valle , Fabrizio Leisen , Luca Rossini , Weixuan Zhu

The center of gravity is one of the most frequently used algorithm for position reconstruction with different analytical forms for the noise optimization. The error distributions of the different forms are essential instruments to improve…

仪器与探测器 · 物理学 2020-12-01 Gregorio Landi , Giovanni E. Landi

A generalization of Gy's theory for the variance of the fundamental sampling error is reviewed. Practical situations where the generalized model potentially leads to more accurate variance estimates are identified as: clustering of…

应用统计 · 统计学 2009-11-10 Bastiaan Geelhoed

The beta distribution serves as a canonical tool for modeling probabilities in statistics and machine learning. However, there is limited work on flexible and computationally convenient stochastic process extensions for modeling dependent…

统计方法学 · 统计学 2025-03-18 Changwoo J. Lee , Alessandro Zito , Huiyan Sang , David B. Dunson

An important task for any large-scale organization is to prepare forecasts of key performance metrics. Often these organizations are structured in a hierarchical manner and for operational reasons, projections of these metrics may have been…

应用统计 · 统计学 2017-11-15 Julie Novak , Scott McGarvie , Beatriz Etchegaray Garcia

In this paper, we introduce a family of robust estimates for the parametric and nonparametric components under a generalized partially linear model, where the data are modeled by $y_i|(\mathbf{x}_i,t_i)\sim F(\cdot,\mu_i)$ with…

统计方法学 · 统计学 2011-11-10 Graciela Boente , Xuming He , Jianhui Zhou

Consider a pair of cumulative distribution functions $F$ and $G$, where $F$ is unknown and $G$ is a known reference distribution. Given a sample from $F$, we propose tests to detect the convexity or the concavity of $G^{-1}\circ F$ versus…

统计理论 · 数学 2025-06-25 Tommaso Lando , Mohammed Es-Salih Benjrada

Ranking, and inferences based on ranking of a set of entities, are important problems in numerous contexts. This is especially true in small area statistics where there may be only a limited amount of directly observed data from each entity…

统计方法学 · 统计学 2025-11-26 Snigdhansu Chatterjee , Gauri Sankar Datta , Yiren Hou , Abhyuday Mandal

Discrete-state stochastic models have become a well-established approach to describe biochemical reaction networks that are influenced by the inherent randomness of cellular events. In the last years severalmethods for accurately…

分子网络 · 定量生物学 2017-07-03 Alexander Lück , Verena Wolf

We propose a new method in which a generative network (GN) integrate into a reduced-order model (ROM) framework is used to solve inverse problems for partial differential equations (PDE). The aim is to match available measurements and…

机器学习 · 计算机科学 2025-06-17 Vinicius L. S. Silva , Claire E. Heaney , Nenko Nenov , Christopher C. Pain

Partial orders are used extensively for modeling and analyzing concurrent computations. In this paper, we define two properties of partially ordered sets: width-extensibility and interleaving-consistency, and show that a partial order can…

分布式、并行与集群计算 · 计算机科学 2014-10-07 Himanshu Chauhan , Vijay K. Garg

Supervised topic models with a logistic likelihood have two issues that potentially limit their practical use: 1) response variables are usually over-weighted by document word counts; and 2) existing variational inference methods make…

机器学习 · 计算机科学 2013-10-10 Jun Zhu , Xun Zheng , Bo Zhang

The position-momentum quasi-distribution obtained from an Arthurs and Kelly joint measurement model is used to obtain indirectly an ``operational'' time-of-arrival (TOA) distribution following a quantization procedure proposed by…

量子物理 · 物理学 2009-10-31 A. D. Baute , I. L. Egusquiza , J. G. Muga , R. Sala-Mayato

Bayesian inference and uncertainty quantification in a general class of non-linear inverse regression models is considered. Analytic conditions on the regression model $\{\mathscr G(\theta): \theta \in \Theta\}$ and on Gaussian process…

统计理论 · 数学 2021-04-16 François Monard , Richard Nickl , Gabriel P. Paternain

The need to reason about uncertainty in large, complex, and multi-modal datasets has become increasingly common across modern scientific environments. The ability to transform samples from one distribution $P$ to another distribution $Q$…

机器学习 · 统计学 2018-11-30 Diego A. Mesa , Justin Tantiongloc , Marcela Mendoza , Todd P. Coleman

We explore various Bayesian approaches to estimate partial Gaussian graphical models. Our hierarchical structures enable to deal with single-output as well as multiple-output linear regressions, in small or high dimension, enforcing either…

统计方法学 · 统计学 2021-12-14 Eunice Okome Obiang , Pascal Jézéquel , Frédéric Proïa

Algorithmic Gaussianization is a phenomenon that can arise when using randomized sketching or sampling methods to produce smaller representations of large datasets: For certain tasks, these sketched representations have been observed to…

机器学习 · 计算机科学 2023-07-28 Michał Dereziński

The majority of machine learning methods can be regarded as the minimization of an unavailable risk function. To optimize the latter, given samples provided in a streaming fashion, we define a general stochastic Newton algorithm and its…

统计理论 · 数学 2023-06-30 Claire Boyer , Antoine Godichon-Baggioni
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