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The measurement of the efficiency of an event selection is always an important part of the analysis of experimental data. The statistical techniques which are needed to determine the efficiency and its uncertainty are reviewed. Frequentist…

数据分析、统计与概率 · 物理学 2012-08-28 Diego Casadei

A new method is developed to represent probabilistic relations on multiple random events. Where previously knowledge bases containing probabilistic rules were used for this purpose, here a probability distribution over the relations is…

人工智能 · 计算机科学 2013-02-08 Manfred Jaeger

Aggregated relational data is widely collected to study social networks, in fields such as sociology, public health and economics. Many of the successes of ARD inference have been driven by increasingly complex Bayesian models, which…

统计方法学 · 统计学 2026-03-31 Owen G. Ward , Anna L. Smith , Tian Zheng

In statistics, there are a variety of methods for performing model selection that all stem from slightly different paradigms of statistical inference. The reasons for choosing one particular method over another seem to be based entirely on…

统计理论 · 数学 2019-01-29 Danica M. Ommen , Christopher P. Saunders

This paper deals with the Gaussian process based approximation of a code which can be run at different levels of accuracy. This method, which is a particular case of co-kriging, allows us to improve a surrogate model of a complex computer…

统计理论 · 数学 2012-09-25 Loic Le Gratiet

In this article a novel approach for training deep neural networks using Bayesian techniques is presented. The Bayesian methodology allows for an easy evaluation of model uncertainty and additionally is robust to overfitting. These are…

机器学习 · 计算机科学 2019-04-03 Konstantin Posch , Jürgen Pilz

We present a novel hierarchical distance-dependent Bayesian model for event coreference resolution. While existing generative models for event coreference resolution are completely unsupervised, our model allows for the incorporation of…

计算与语言 · 计算机科学 2015-09-28 Bishan Yang , Claire Cardie , Peter Frazier

The correlation of the result lists provided by search engines is fundamental and it has deep and multidisciplinary ramifications. Here, we present automatic and unsupervised methods to assess whether or not search engines provide results…

统计计算 · 统计学 2011-07-15 Paolo D'Alberto , Ali Dasdan

The main object of Bayesian statistical inference is the determination of posterior distributions. Sometimes these laws are given for quantities devoid of empirical value. This serious drawback vanishes when one confines oneself to…

统计金融 · 定量金融 2008-12-02 Federico Bassetti

It is often of interest to combine available estimates of a similar quantity from multiple data sources. When the corresponding variances of each estimate are also available, a model should take into account the uncertainty of the estimates…

统计方法学 · 统计学 2021-09-17 Yujing Yao , R. Todd Ogden , Chubing Zeng , Qixuan Chen

Bi-clustering is a useful approach in analyzing biological data when observations come from heterogeneous groups and have a large number of features. We outline a general Bayesian approach in tackling bi-clustering problems in moderate to…

应用统计 · 统计学 2021-02-11 Han Yan , Jiexing Wu , Yang Li , Jun S. Liu

Clustering is widely studied in statistics and machine learning, with applications in a variety of fields. As opposed to classical algorithms which return a single clustering solution, Bayesian nonparametric models provide a posterior over…

统计方法学 · 统计学 2019-02-11 Sara Wade , Zoubin Ghahramani

Updating $\textit{a priori}$ information given some observed data is the core tenet of Bayesian inference. Bayesian transfer learning extends this idea by incorporating information from a related dataset to improve the inference on the…

统计方法学 · 统计学 2025-10-15 Adam Bretherton , Joshua J. Bon , David J. Warne , Kerrie Mengersen , Christopher Drovandi

Data clustering, including problems such as finding network communities, can be put into a systematic framework by means of a Bayesian approach. The application of Bayesian approaches to real problems can be, however, quite challenging. In…

数据分析、统计与概率 · 物理学 2008-09-28 Alexei Vazquez

Assume we observe a finite number of inspection times together with information on whether a specific event has occurred before each of these times. Suppose replicated measurements are available on multiple event times. The set of…

统计理论 · 数学 2020-11-17 Geurt Jongbloed , Frank van der Meulen , Lixue Pang

In this paper we review the concepts of Bayesian evidence and Bayes factors, also known as log odds ratios, and their application to model selection. The theory is presented along with a discussion of analytic, approximate and numerical…

统计方法学 · 统计学 2015-11-24 Kevin H. Knuth , Michael Habeck , Nabin K. Malakar , Asim M. Mubeen , Ben Placek

Proposed is a new formal approach for solution of extreme multi-criteria problems transforming them into single-criterion mathematical models, without any additional information. Transforming rules are based on comparison standards and…

最优化与控制 · 数学 2007-05-23 V. O. Groppen

We consider the problem of aggregating pairwise comparisons to obtain a consensus ranking order over a collection of objects. We use the popular Bradley-Terry-Luce (BTL) model which allows us to probabilistically describe pairwise…

信息论 · 计算机科学 2019-01-30 Mine Alsan , Ranjitha Prasad , Vincent Y. F. Tan

This paper offers a qualitative insight into the convergence of Bayesian parameter inference in a setup which mimics the modeling of the spread of a disease with associated disease measurements. Specifically, we are interested in the…

统计理论 · 数学 2022-12-08 Samuel Bronstein , Stefan Engblom , Robin Marin

The ranking problem is to order a collection of units by some unobserved parameter, based on observations from the associated distribution. This problem arises naturally in a number of contexts, such as business, where we may want to rank…

统计理论 · 数学 2019-09-04 Toby Kenney