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In order to improve forecasts, a decisionmaker often combines probabilities given by various sources, such as human experts and machine learning classifiers. When few training data are available, aggregation can be improved by incorporating…

机器学习 · 计算机科学 2012-07-19 Joseph Kahn

Forecasts support decision making in a variety of applications. Statistical models can produce accurate forecasts given abundant training data, but when data is sparse, rapidly changing, or unavailable, statistical models may not be able to…

应用统计 · 统计学 2020-05-19 Thomas McAndrew , Nutcha Wattanachit , G. Casey Gibson , Nicholas G. Reich

We propose a probabilistic model to aggregate the answers of respondents answering multiple-choice questions. The model does not assume that everyone has access to the same information, and so does not assume that the consensus answer is…

机器学习 · 统计学 2017-03-16 John McCoy , Drazen Prelec

Randomness in scientific estimation is generally assumed to arise from unmeasured or uncontrolled factors. However, when combining subjective probability estimates, heterogeneity stemming from people's cognitive or information diversity is…

统计方法学 · 统计学 2015-09-14 Ville A. Satopää , Robin Pemantle , Lyle H. Ungar

Gaussian processes (GPs) are an important tool in machine learning and statistics with applications ranging from social and natural science through engineering. They constitute a powerful kernelized non-parametric method with…

机器学习 · 统计学 2021-12-20 Manuel Schürch , Dario Azzimonti , Alessio Benavoli , Marco Zaffalon

When analyzing real-world data it is common to work with event ensembles, which comprise sets of observations that collectively constrain the parameters of an underlying model of interest. Such models often have a hierarchical structure,…

机器学习 · 统计学 2024-02-22 Lukas Heinrich , Siddharth Mishra-Sharma , Chris Pollard , Philipp Windischhofer

We examine the problem of making reconciled forecasts of large collections of related time series through a behavioural/Bayesian lens. Our approach explicitly acknowledges and exploits the 'connectedness' of the series in terms of…

统计方法学 · 统计学 2022-10-03 Ross Hollyman , Fotios Petropoulos , Michael E. Tipping

Crowdsourcing enables the solicitation of forecasts on a variety of prediction tasks from distributed groups of people. How to aggregate the solicited forecasts, which may vary in quality, into an accurate final prediction remains a…

统计方法学 · 统计学 2022-03-31 Juntao Wang , Yang Liu , Yiling Chen

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

We present a new method for probabilistic elicitation of expert knowledge using binary responses of human experts assessing simulated data from a statistical model, where the parameters are subject to uncertainty. The binary responses…

统计方法学 · 统计学 2020-03-10 Owen Thomas , Henri Pesonen , Jukka Corander

An important task for any large-scale organization is to prepare forecasts of key performance metrics. Often these organizations are structured in a hierarchical manner and for operational reasons, projections of these metrics may have been…

应用统计 · 统计学 2017-11-15 Julie Novak , Scott McGarvie , Beatriz Etchegaray Garcia

Bayesian aggregation lets election forecasters combine diverse sources of information, such as state polls and economic and political indicators: as in our collaboration with The Economist magazine. However, the demands of real-time…

统计方法学 · 统计学 2025-10-23 Geonhee Han , Andrew Gelman , Aki Vehtari

Randomness in scientific estimation is generally assumed to arise from unmeasured or uncontrolled factors. However, when combining subjective probability estimates, heterogeneity stemming from people's cognitive or information diversity is…

统计方法学 · 统计学 2015-05-28 Ville Satopää , Robin Pemantle , Lyle Ungar

We consider the task of aggregating beliefs of severalexperts. We assume that these beliefs are represented as probabilitydistributions. We argue that the evaluation of any aggregationtechnique depends on the semantic context of this task.…

人工智能 · 计算机科学 2013-01-14 Pedrito Maynard-Reid , Urszula Chajewska

Hierarchical time series are common in several applied fields. The forecasts for these time series are required to be coherent, that is, to satisfy the constraints given by the hierarchy. The most popular technique to enforce coherence is…

机器学习 · 统计学 2023-10-13 Lorenzo Zambon , Dario Azzimonti , Giorgio Corani

We propose a framework for probability aggregation based on propositional probability logic. Unlike conventional judgment aggregation, which focuses on static rationality, our model addresses dynamic rationality by ensuring that collective…

人工智能 · 计算机科学 2025-08-27 Polina Gordienko , Christoph Jansen , Thomas Augustin , Martin Rechenauer

We study the problem of robust forecast aggregation: combining expert forecasts with provable accuracy guarantees compared to the best possible aggregation of the underlying information. Prior work shows strong impossibility results, e.g.…

计算机科学与博弈论 · 计算机科学 2025-12-08 Rafael Frongillo , Mary Monroe , Eric Neyman , Bo Waggoner

This paper proposes a unified theoretical model to identify and test a comprehensive set of probabilistic updating biases within a single framework. The model achieves separate identification by focusing on the updating of belief…

综合经济学 · 经济学 2026-03-27 Pedro Gonzalez-Fernandez

The importance of accurately quantifying forecast uncertainty has motivated much recent research on probabilistic forecasting. In particular, a variety of deep learning approaches has been proposed, with forecast distributions obtained as…

机器学习 · 统计学 2024-11-11 Benedikt Schulz , Lutz Köhler , Sebastian Lerch

Central banks rely on density forecasts from professional surveys to assess inflation risks and communicate uncertainty. A central challenge in using these surveys is irregular participation: forecasters enter and exit, skip rounds, and…

应用统计 · 统计学 2026-02-06 Matthew C. Johnson , Matteo Luciani , Minzhengxiong Zhang , Kenichiro McAlinn
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