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One major impediment to the wider use of deep learning for clinical decision making is the difficulty of assigning a level of confidence to model predictions. Currently, deep Bayesian neural networks and sparse Gaussian processes are the…

A Bayesian analytics framework that precisely quantifies uncertainty offers a significant advance for financial risk management. We develop an integrated approach that consistently enhances the handling of risk in market volatility…

The proposed approach extends the confidence posterior distribution to the semi-parametric empirical Bayes setting. Whereas the Bayesian posterior is defined in terms of a prior distribution conditional on the observed data, the confidence…

统计方法学 · 统计学 2012-05-02 David R. Bickel

A Bayesian view of data interpretation suggests that a visualization user should update their existing beliefs about a parameter's value in accordance with the amount of information about the parameter value captured by the new…

人机交互 · 计算机科学 2020-08-11 Yea-Seul Kim , Paula Kayongo , Madeleine Grunde-McLaughlin , Jessica Hullman

Clinical decision-making demands uncertainty quantification that provides both distribution-free coverage guarantees and risk-adaptive precision, requirements that existing methods fail to jointly satisfy. We present a hybrid…

机器学习 · 计算机科学 2026-01-06 Marzieh Amiri Shahbazi , Ali Baheri , Nasibeh Azadeh-Fard

Clinical prediction models provide a prediction (e.g., estimated risk) for each individual, typically expressed as a point estimate derived from a deterministic function such as a logistic regression equation. Such 'plug-in' predictions…

统计方法学 · 统计学 2026-05-20 Mohsen Sadatsafavi , Richard D. Riley

We marshall the arguments for preferring Bayesian hypothesis testing and confidence sets to frequentist ones. We define admissible solutions to inference problems, noting that Bayesian solutions are admissible. We give seven weaker…

统计理论 · 数学 2024-05-22 Roger Sewell

Observational healthcare data offer the potential to estimate causal effects of medical products on a large scale. However, the confidence intervals and p-values produced by observational studies only account for random error and fail to…

应用统计 · 统计学 2024-05-02 Jami J. Mulgrave , David Madigan , George Hripcsak

Bayesian inference provides a principled probabilistic framework for quantifying uncertainty by updating beliefs based on prior knowledge and observed data through Bayes' theorem. In Bayesian deep learning, neural network weights are…

机器学习 · 计算机科学 2024-10-22 Yijie Zhang

Humans must flexibly arbitrate between exploring alternatives and exploiting learned strategies, yet they frequently exhibit maladaptive persistence by continuing to execute failing strategies despite accumulating negative evidence. Here we…

机器学习 · 计算机科学 2026-03-24 Zhipeng Zhang , Hongshun He

We propose a general method to carry out a valid Bayesian analysis of a finite-dimensional `targeted' parameter in the presence of a finite-dimensional nuisance parameter. We apply our methods to causal inference based on estimating…

统计方法学 · 统计学 2026-02-03 Magid Sabbagh , David A. Stephens

As robots increasingly integrate into everyday environments, ensuring their safe navigation around humans becomes imperative. Efficient and safe motion planning requires robots to account for human behavior, particularly in constrained…

机器人学 · 计算机科学 2026-03-20 Michael Lu , Minh Bui , Xubo Lyu , Mo Chen

Data-driven risk analysis involves the inference of probability distributions from measured or simulated data. In the case of a highly reliable system, such as the electricity grid, the amount of relevant data is often exceedingly limited,…

统计方法学 · 统计学 2017-07-11 Simon H. Tindemans , Goran Strbac

In this paper authors present a general methodology for age dependent reliability analysis of degrading or ageing systems, structures and components.The methodology is based on Bayesian methods and inference, its ability to incorporate…

应用统计 · 统计学 2012-10-19 Robertas Alzbutas , Tomas Iešmantas

Early diagnosis of diseases holds the potential for deep transformation in healthcare by enabling better treatment options, improving long-term survival and quality of life, and reducing overall cost. With the advent of medical big data,…

机器学习 · 计算机科学 2023-11-29 Tim Schubert , Richard W Peck , Alexander Gimson , Camelia Davtyan , Mihaela van der Schaar

Inverse analysis, such as model calibration, often suffers from a lack of informative data in complex real-world scenarios. The standard remedy, designing new experimental setups, is often costly and time-consuming, while readily available…

计算工程、金融与科学 · 计算机科学 2026-01-16 Lea J. Haeusel , Jonas Nitzler , Lea J. Köglmeier , Wolfgang A. Wall

Predicting outcomes in external domains is challenging due to hidden confounders that potentially influence both predictors and outcomes. Well-established methods frequently rely on stringent assumptions, explicit knowledge about the…

统计方法学 · 统计学 2025-10-14 Carlos García Meixide , David Ríos Insua

Early identification of at risk students in higher education depends on predictive models that maintain accuracy across successive cohorts -- a requirement that single-cohort modeling approaches fail to meet. This study evaluates Bayesian…

应用统计 · 统计学 2026-04-22 Jakob Schwerter , Amer Krivosija , Tim Novak , Katja Ickstadt , Alexander Munteanu

We present a novel and easy-to-use method for calibrating error-rate based confidence intervals to evidence-based support intervals. Support intervals are obtained from inverting Bayes factors based on a parameter estimate and its standard…

统计方法学 · 统计学 2023-06-28 Samuel Pawel , Alexander Ly , Eric-Jan Wagenmakers

Approximate Bayesian computing is a powerful likelihood-free method that has grown increasingly popular since early applications in population genetics. However, complications arise in the theoretical justification for Bayesian inference…

统计计算 · 统计学 2018-12-03 Suzanne Thornton , Wentao Li , Min-ge Xie
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