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Directed acyclic graphs are the basic representation of the structure underlying Bayesian networks, which represent multivariate probability distributions. In many practical applications, such as the reverse engineering of gene regulatory…

统计计算 · 统计学 2013-11-15 Jack Kuipers , Giusi Moffa

A probabilistic expert system emulates the decision-making ability of a human expert through a directional graphical model. The first step in building such systems is to understand data generation mechanism. To this end, one may try to…

统计方法学 · 统计学 2021-09-29 Vahid Partovi Nia , Xinlin Li , Masoud Asgharian , Shoubo Hu , Zhitang Chen , Yanhui Geng

In reliability theory and survival analysis, observed data are often weakly dependent and subject to additive measurement errors. Such contamination arises when the underlying data are neither independent nor strongly mixed but instead…

统计理论 · 数学 2025-03-20 Benjrada Mohammed Essalih

A common problem in numerous research areas, particularly in clinical trials, is to test whether the effect of an explanatory variable on an outcome variable is equivalent across different groups. In practice, these tests are frequently…

统计方法学 · 统计学 2024-05-03 Niklas Hagemann , Kathrin Möllenhoff

Over the last decades, many prognostic models based on artificial intelligence techniques have been used to provide detailed predictions in healthcare. Unfortunately, the real-world observational data used to train and validate these models…

机器学习 · 计算机科学 2023-11-21 Alice Bernasconi , Alessio Zanga , Peter J. F. Lucas , Marco Scutari , Fabio Stella

Inverse probability weights are commonly used in epidemiology to estimate causal effects in observational studies. Researchers can typically focus on either the average treatment effect or the average treatment effect on the treated with…

统计方法学 · 统计学 2022-10-05 Eli Ben-Michael , Luke Keele

Domain gaps are among the most relevant roadblocks in the clinical translation of machine learning (ML)-based solutions for medical image analysis. While current research focuses on new training paradigms and network architectures, little…

计算机视觉与模式识别 · 计算机科学 2023-07-25 Patrick Godau , Piotr Kalinowski , Evangelia Christodoulou , Annika Reinke , Minu Tizabi , Luciana Ferrer , Paul Jäger , Lena Maier-Hein

Survey data are self-reported data collected directly from respondents by a questionnaire or an interview and are commonly used in epidemiology. Such data are traditionally collected via a single mode (e.g. face-to-face interview alone),…

统计方法学 · 统计学 2026-01-26 Georgia D Tomova , Richard J Silverwood , Peter WG Tennant , Liam Wright

Graphs and networks are common ways of depicting biological information. In biology, many different biological processes are represented by graphs, such as regulatory networks, metabolic pathways and protein--protein interaction networks.…

应用统计 · 统计学 2010-11-16 Caiyan Li , Hongzhe Li

This is the second manuscript in a two-part series that uses diagnostic testing to understand the connection between prevalence (i.e. number of elements in a class), uncertainty quantification (UQ), and classification theory. Part I…

Propensity scores are often used for stratification of treatment and control groups of subjects in observational data to remove confounding bias when estimating of causal effect of the treatment on an outcome in so-called potential outcome…

统计理论 · 数学 2018-04-24 Priyantha Wijayatunga

Directed acyclic graphs (DAGs) and associated probability models are widely used to model neural connectivity and communication channels. In many experiments, data are collected from multiple subjects whose connectivities may differ but are…

统计方法学 · 统计学 2014-11-17 Chris J. Oates , Lilia Carneiro da Costa , Tom Nichols

When using machine learning for imbalanced binary classification problems, it is common to subsample the majority class to create a (more) balanced training dataset. This biases the model's predictions because the model learns from data…

机器学习 · 计算机科学 2025-11-03 Nathan Phelps , Daniel J. Lizotte , Douglas G. Woolford

Indirect comparisons of treatment-specific outcomes across separate studies often inform decision-making in the absence of head-to-head randomized comparisons. Differences in baseline characteristics between study populations may introduce…

应用统计 · 统计学 2020-04-09 David Cheng , Rajeev Ayyagari , James Signorovitch

Precise knowledge of causal directed acyclic graphs (DAGs) is assumed for standard approaches towards valid adjustment set selection for unbiased estimation, but in practice, the DAG is often inferred from data or expert knowledge,…

统计理论 · 数学 2025-11-14 Zhongyi Hu , Stéphanie van der Pas

We introduce priors and algorithms to perform Bayesian inference in Gaussian models defined by acyclic directed mixed graphs. Such a class of graphs, composed of directed and bi-directed edges, is a representation of conditional…

统计方法学 · 统计学 2012-07-02 Ricardo Silva , Zoubin Ghahramani

The standard way to parameterize the distributions represented by a directed acyclic graph is to insert a parametric family for the conditional distribution of each random variable given its parents. We show that when one's goal is to test…

统计方法学 · 统计学 2013-02-08 James M. Robins , Larry A. Wasserman

Given only data generated by a standard confounding graph with unobserved confounder, the Average Treatment Effect (ATE) is not identifiable. To estimate the ATE, a practitioner must then either (a) collect deconfounded data;(b) run a…

机器学习 · 统计学 2021-03-09 Kyra Gan , Andrew A. Li , Zachary C. Lipton , Sridhar Tayur

Intuitively, one would expect accuracy of a trained neural network's prediction on test samples to correlate with how densely the samples are surrounded by seen training samples in representation space. We find that a bound on empirical…

机器学习 · 计算机科学 2022-07-29 Xu Ji , Razvan Pascanu , Devon Hjelm , Balaji Lakshminarayanan , Andrea Vedaldi

The estimated accuracy of a classifier is a random quantity with variability. A common practice in supervised machine learning, is thus to test if the estimated accuracy is significantly better than chance level. This method of signal…

统计方法学 · 统计学 2020-01-28 Jonathan D. Rosenblatt , Yuval Benjamini , Roee Gilron , Roy Mukamel , Jelle J. Goeman