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Bayesian methods have proved powerful in many applications for the inference of model parameters from data. These methods are based on Bayes' theorem, which itself is deceptively simple. However, in practice the computations required are…

统计方法学 · 统计学 2020-07-10 Michael A. Chappell , Mark W. Woolrich

Determining subgroups that respond especially well (or poorly) to specific interventions (medical or policy) requires new supervised learning methods tailored specifically for causal inference. Bayesian Causal Forest (BCF) is a recent…

机器学习 · 统计学 2022-09-16 Nikolay Krantsevich , Jingyu He , P. Richard Hahn

In many scenarios, the observational data needed for causal inferences are spread over two data files. In particular, we consider scenarios where one file includes covariates and the treatment measured on one set of individuals, and a…

统计方法学 · 统计学 2020-09-22 Sharmistha Guha , Jerome P. Reiter , Andrea Mercatanti

Evidence accumulation models (EAMs) are an important class of cognitive models used to analyze both response time and response choice data recorded from decision-making tasks. Developments in estimation procedures have helped EAMs become…

统计方法学 · 统计学 2023-06-01 Viet Hung Dao , David Gunawan , Robert Kohn , Minh-Ngoc Tran , Guy E. Hawkins , Scott D. Brown

Across the empirical sciences, few statistical procedures rival the popularity of the frequentist t-test. In contrast, the Bayesian versions of the t-test have languished in obscurity. In recent years, however, the theoretical and practical…

统计方法学 · 统计学 2018-12-17 Quentin F. Gronau , Alexander Ly , Eric-Jan Wagenmakers

The "large p, small n" paradigm arises in microarray studies, where expression levels of thousands of genes are monitored for a small number of subjects. There has been an increasing demand for study of asymptotics for the various…

统计理论 · 数学 2007-06-13 Michael R. Kosorok , Shuangge Ma

In large scale multiple testing problems, a two-class empirical Bayes approach can be used to control the false discovery rate (Fdr) for the entire array of hypotheses under study. A sample splitting step is incorporated to modify that…

统计计算 · 统计学 2019-12-13 Paramita Chakraborty , Chong Ma , John Grego , James Lynch

The two-level normal hierarchical model has played an important role in statistical theory and applications. In this paper, we first introduce a general adjusted maximum likelihood method for estimating the unknown variance component of the…

统计方法学 · 统计学 2019-01-25 Masayo Y. Hirose , Partha Lahiri

While there have been a lot of recent developments in the context of Bayesian model selection and variable selection for high dimensional linear models, there is not much work in the presence of change point in literature, unlike the…

统计方法学 · 统计学 2021-02-26 Nilabja Guha , Jyotishka Datta

Several phenomena are available representing market activity: volumes, number of trades, durations between trades or quotes, volatility - however measured - all share the feature to be represented as positive valued time series. When…

统计金融 · 定量金融 2021-07-14 Fabrizio Cipollini , Giampiero M. Gallo

There is increasing interest in learning how human brain networks vary as a function of a continuous trait, but flexible and efficient procedures to accomplish this goal are limited. We develop a Bayesian semiparametric model, which…

统计方法学 · 统计学 2017-02-02 Lu Wang , Daniele Durante , Rex E. Jung , David B. Dunson

This paper studies the multiplicity-correction effect of standard Bayesian variable-selection priors in linear regression. Our first goal is to clarify when, and how, multiplicity correction happens automatically in Bayesian analysis, and…

统计理论 · 数学 2010-11-11 James G. Scott , James O. Berger

Bayesian predictive inference analyzes a dataset to make predictions about new observations. When a model does not match the data, predictive accuracy suffers. We develop population empirical Bayes (POP-EB), a hierarchical framework that…

机器学习 · 统计学 2015-06-10 Alp Kucukelbir , David M. Blei

Sparse models are desirable for many applications across diverse domains as they can perform automatic variable selection, aid interpretability, and provide regularization. When fitting sparse models in a Bayesian framework, however,…

统计理论 · 数学 2020-10-15 Jeffrey P. Spence

Deep neural networks have achieved impressive results on a wide variety of tasks. However, quantifying uncertainty in the network's output is a challenging task. Bayesian models offer a mathematical framework to reason about model…

机器学习 · 计算机科学 2019-05-28 Manikanta Srikar Yellapragada , Chandra Prakash Konkimalla

A pervasive challenge in neuroscience is testing whether neuronal connectivity changes over time due to specific causes, such as stimuli, events, or clinical interventions. Recent hardware innovations and falling data storage costs enable…

神经元与认知 · 定量生物学 2024-01-05 Johan Medrano , Karl J. Friston , Peter Zeidman

Bayes factors for composite hypotheses have difficulty in encoding vague prior knowledge, as improper priors cannot be used and objective priors may be subjectively unreasonable. To address these issues I revisit the posterior Bayes factor,…

统计方法学 · 统计学 2024-02-29 Frank Dudbridge

Gaussian process regression has proven very powerful in statistics, machine learning and inverse problems. A crucial aspect of the success of this methodology, in a wide range of applications to complex and real-world problems, is…

统计理论 · 数学 2021-03-18 Yifan Chen , Houman Owhadi , Andrew M. Stuart

Network data are increasingly collected along with other variables of interest. Our motivation is drawn from neurophysiology studies measuring brain connectivity networks for a sample of individuals along with their membership to a low or…

统计方法学 · 统计学 2018-09-11 Daniele Durante , David B. Dunson

Statistics comes in two main flavors: frequentist and Bayesian. For historical and technical reasons, frequentist statistics have traditionally dominated empirical data analysis, and certainly remain prevalent in empirical software…

软件工程 · 计算机科学 2024-10-03 Carlo A. Furia , Robert Feldt , Richard Torkar