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Assessing homogeneity of distributions is an old problem that has received considerable attention, especially in the nonparametric Bayesian literature. To this effect, we propose the semi-hierarchical Dirichlet process, a novel hierarchical…

统计方法学 · 统计学 2021-06-17 Mario Beraha , Alessandra Guglielmi , Fernando A. Quintana

We derive some simple relations that demonstrate how the posterior convergence rate is related to two driving factors: a "penalized divergence" of the prior, which measures the ability of the prior distribution to propose a nonnegligible…

统计理论 · 数学 2014-11-12 Wenxin Jiang

In high-dimensional problems, choosing a prior distribution such that the corresponding posterior has desirable practical and theoretical properties can be challenging. This begs the question: can the data be used to help choose a good…

统计理论 · 数学 2019-09-25 Ryan Martin , Stephen G. Walker

The problem motivating the paper is the quantification of students' preferences regarding teaching/coursework quality, under certain numerical restrictions, in order to build a model for identifying, assessing and monitoring the major…

应用统计 · 统计学 2014-04-08 Dimitris Fouskakis , George Petrakos , Ioannis Vavouras

This paper introduces a framework for incorporating prior information into the design of sequential experiments. These sources may include past experiments, expert opinions, or the experimenter's intuition. We model the problem using a…

计量经济学 · 经济学 2024-10-01 Frederico Finan , Demian Pouzo

Given a predictor of outcome derived from a high-dimensional dataset, pre-validation is a useful technique for comparing it to competing predictors on the same dataset. For microarray data, it allows one to compare a newly derived predictor…

应用统计 · 统计学 2008-07-28 Holger Höfling , Robert Tibshirani

Modern applications routinely collect high-dimensional data, leading to statistical models having more parameters than there are samples available. A common solution is to impose sparsity in parameter estimation, often using penalized…

统计方法学 · 统计学 2025-07-08 Paolo Onorati , David B. Dunson , Antonio Canale

In Requirements Engineering, requirements elicitation aims the acquisition of information from the stakeholders of a system-to-be. An important task during elicitation is to identify and render explicit the stakeholders' implicit…

软件工程 · 计算机科学 2016-11-26 Corentin Burnay , Ivan Jureta , Stéphane Faulkner

We revisit the distributed hypothesis testing (or hypothesis testing with communication constraints) problem from the viewpoint of privacy. Instead of observing the raw data directly, the transmitter observes a sanitized or randomized…

信息论 · 计算机科学 2019-06-26 Atefeh Gilani , Selma Belhadj Amor , Sadaf Salehkalaibar , Vincent Y. F. Tan

Combining the outputs of multiple classifiers or experts into a single probabilistic classification is a fundamental task in machine learning with broad applications from classifier fusion to expert opinion pooling. Here we present a…

机器学习 · 计算机科学 2021-11-24 Susanne Trick , Constantin A. Rothkopf

Growth curves are commonly used in modeling aimed at crop yield prediction. Fitting such curves often depends on availability of detailed observations, such as individual grape bunch weight or individual apple weight. However, in practice,…

应用统计 · 统计学 2023-03-27 Elena Moltchanova , Daniel Gerhard , Rory Ellis

The method of Bayesian variable selection via penalized credible regions separates model fitting and variable selection. The idea is to search for the sparsest solution within the joint posterior credible regions. Although the approach was…

统计方法学 · 统计学 2016-09-02 Yan Zhang , Howard D. Bondell

Decision-making usually takes five steps: identifying the problem, collecting data, extracting evidence, identifying pro and con arguments, and making decisions. Focusing on extracting evidence, this paper presents a hybrid model that…

信息检索 · 计算机科学 2021-02-04 Patrick Abels , Zahra Ahmadi , Sophie Burkhardt , Benjamin Schiller , Iryna Gurevych , Stefan Kramer

It can be important in Bayesian analyses of complex models to construct informative prior distributions which reflect knowledge external to the data at hand. Nevertheless, how much prior information an analyst can elicit from an expert will…

应用统计 · 统计学 2017-11-10 Xueou Wang , David J. Nott , C. C. Drovandi , Kerrie Mengersen , Michael Evans

In many applications in biology, engineering and economics, identifying similarities and differences between distributions of data from complex processes requires comparing finite categorical samples of discrete counts. Statistical…

统计方法学 · 统计学 2023-07-11 Francesco Camaglia , Ilya Nemenman , Thierry Mora , Aleksandra M. Walczak

In this paper, we seek to improve the faithfulness of TempRel extraction models from two perspectives. The first perspective is to extract genuinely based on contextual description. To achieve this, we propose to conduct counterfactual…

计算与语言 · 计算机科学 2022-10-13 Haoyu Wang , Hongming Zhang , Yuqian Deng , Jacob R. Gardner , Dan Roth , Muhao Chen

The use of historical estimates in current studies is common in a wide variety of application areas. Nevertheless, despite their routine use the uncertainty associated with historical estimates is rarely properly accounted for in the…

统计方法学 · 统计学 2020-07-03 Ori Davidov , Tamas Rudas

Conflicts of interest often arise between data sources and their users regarding how the users' information needs should be interpreted by the data source. For example, an online product search might be biased towards presenting certain…

数据库 · 计算机科学 2026-03-09 Nischal Aryal , Arash Termehchy , Marianne Winslett

The multinomial model is one of the simplest statistical models. When constraints are placed on the possible values for the probabilities, however, it becomes much more difficult to deal with. Model checking and checking for prior-data…

Selection bias arises when the probability that an observation enters a dataset depends on variables related to the quantities of interest, leading to systematic distortions in estimation and uncertainty quantification. For example, in…