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In this paper, we are concerned with attributing meaning to the results of a Bayesian analysis for a problem which is sufficiently complex that we are unable to assert a precise correspondence between the expert probabilistic judgements of…

统计理论 · 数学 2015-12-04 Daniel Williamson , Michael Goldstein

Experts' beliefs embody a present state of knowledge. It is desirable to take this knowledge into account when doing analyses or making decisions. Yet ranking experts based on the merit of their beliefs is a difficult task. In this paper we…

统计方法学 · 统计学 2018-08-10 Duco Veen , Diederick Stoel , Naomi Schalken , Rens van de Schoot

In decision modelling with time to event data, there are a variety of parametric models which could be used to extrapolate the survivor function. Each of these implies a different hazard function and in situations where there is moderate…

应用统计 · 统计学 2021-12-07 Philip Cooney , Arthur White

This article describes an approach to incorporate expert opinion on observable quantities through the use of a loss function which updates a prior belief as opposed to specifying parameters on the priors. Eliciting information on observable…

机器学习 · 统计学 2023-02-14 Philip Cooney , Arthur White

Large language models (LLMs) are increasingly used to simulate human behavior, but common practices to use LLM-generated data are inefficient. Treating an LLM's output ("model choice") as a single data point underutilizes the information…

人工智能 · 计算机科学 2025-12-30 Hongshen Sun , Juanjuan Zhang

It is common to hold prior beliefs that are not characterized by points in the parameter space but instead are relational in nature and can be described by a linear subspace. While some previous work has been done to account for such prior…

统计方法学 · 统计学 2024-01-17 Daniel K. Sewell

It can be insightful to extend qualitative studies with a secondary quantitative analysis (where the former suggests insightful questions that the latter can answer). Documenting developer beliefs should be the start, not the end, of…

软件工程 · 计算机科学 2019-04-12 Shrikanth N. C. , Tim Menzies

Retrospective testing of predictive models does not consider the real-world context in which models are deployed. Prospective validation, on the other hand, enables meaningful comparisons between data generation processes by incorporating…

机器学习 · 计算机科学 2020-11-19 Steven Kearnes

This article introduces a new method for eliciting prior distributions from experts. The method models an expert decision-making process to infer a prior probability distribution for a rare event $A$. More specifically, assuming there…

统计方法学 · 统计学 2023-07-17 Julia R. Falconer , Eibe Frank , Devon L. L. Polaschek , Chaitanya Joshi

Complex data features, such as unmodelled censored event times and variables with time-dependent effects, are common in cancer recurrence studies and pose challenges for Bayesian survival modelling. Current methodologies for predictive…

统计方法学 · 统计学 2026-01-12 Saku Suorsa , Aki Vehtari

One of the main goals of mathematical modeling in systems medicine related to medical applications is to obtain patient-specific parameterizations and model predictions. In clinical practice, however, the number of available measurements…

统计方法学 · 统计学 2017-06-22 Ilja Klebanov , Alexander Sikorski , Christof Schütte , Susanna Röblitz

Survival models are used in various fields, such as the development of cancer treatment protocols. Although many statistical and machine learning models have been proposed to achieve accurate survival predictions, little attention has been…

机器学习 · 计算机科学 2020-03-26 Hrushikesh Loya , Pranav Poduval , Deepak Anand , Neeraj Kumar , Amit Sethi

A common problem in natural sciences is the comparison of competing models in the light of observed data. Bayesian model comparison provides a statistically sound framework for this comparison based on the evidence each model provides for…

机器学习 · 统计学 2022-03-23 Jan Boelts

The impact of machine learning models on healthcare will depend on the degree of trust that healthcare professionals place in the predictions made by these models. In this paper, we present a method to provide people with clinical expertise…

机器学习 · 计算机科学 2021-03-05 Aniruddh Raghu , John Guttag , Katherine Young , Eugene Pomerantsev , Adrian V. Dalca , Collin M. Stultz

Bayesian model comparison is often based on the posterior distribution over the set of compared models. This distribution is often observed to concentrate on a single model even when other measures of model fit or forecasting ability…

统计理论 · 数学 2020-03-10 Oscar Oelrich , Shutong Ding , Måns Magnusson , Aki Vehtari , Mattias Villani

Recursive Bayesian inference, in which posterior beliefs are updated in light of accumulating data, is a tool for implementing Bayesian models in applications with streaming and/or very large data sets. As the posterior of one iteration…

统计方法学 · 统计学 2025-08-05 Henry R. Scharf

Recently, several researchers have claimed that conclusions obtained from a Bayes factor (or the posterior odds) may contradict those obtained from Bayesian posterior estimation. In this short paper, we wish to point out that no such…

统计理论 · 数学 2022-10-24 Harlan Campbell , Paul Gustafson

Attempts to replicate probabilistic reasoning in expert systems have typically overlooked a critical ingredient of that process. Probabilistic analysis typically requires extensive judgments regarding interdependencies among hypotheses and…

人工智能 · 计算机科学 2013-04-15 Marvin S. Cohen

Background: The uptake of formalized prior elicitation from experts in Bayesian clinical trials has been limited due to challenges such as complex statistical modeling, lack of practical tools, and the cognitive burden placed on experts…

统计方法学 · 统计学 2025-09-15 Yongdong Ouyang , Janice J Eng , Denghuang Zhan , Hubert Wong , The WnW Research Team

A myriad of explainability methods have been proposed in recent years, but there is little consensus on how to evaluate them. While automatic metrics allow for quick benchmarking, it isn't clear how such metrics reflect human interaction…

计算与语言 · 计算机科学 2021-06-30 Ana Valeria Gonzalez , Anna Rogers , Anders Søgaard
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