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Probability forecasts of events are routinely used in climate predictions, in forecasting default probabilities on bank loans or in estimating the probability of a patient's positive response to treatment. Scoring rules have long been used…

统计理论 · 数学 2012-02-24 Tze Leung Lai , Shulamith T. Gross , David Bo Shen

Reliable estimation of predictive uncertainty is crucial for machine learning applications, particularly in high-stakes scenarios where hedging against risks is essential. Despite its significance, there is no universal agreement on how to…

机器学习 · 计算机科学 2025-06-17 Kajetan Schweighofer , Lukas Aichberger , Mykyta Ielanskyi , Sepp Hochreiter

Algorithmic predictions are emerging as a promising solution concept for efficiently allocating societal resources. Fueling their use is an underlying assumption that such systems are necessary to identify individuals for interventions. We…

机器学习 · 计算机科学 2024-06-21 Ali Shirali , Rediet Abebe , Moritz Hardt

In recent decades, new methods and approaches have been developed for forecasting intermittent demand series. However, the majority of research has focused on point forecasting, with little exploration into probabilistic intermittent demand…

应用统计 · 统计学 2024-04-16 Shengjie Wang , Yanfei Kang , Fotios Petropoulos

This paper presents a simplified likelihood framework designed to facilitate the reuse, reinterpretation and combination of LHC experimental results. The framework is based on the same underlying structure as the widely used HistFactory…

高能物理 - 实验 · 物理学 2023-05-18 Nicolas Berger

This paper defines theoretical lower bounds of uncertainty of observations of macroeconomic variables that depend on statistical moments and correlations of random values and volumes of market trades. Any econometric assessments of…

综合经济学 · 经济学 2024-10-08 Victor Olkhov

Meaningful climate predictions must be accompanied by their corresponding range of uncertainty. Quantifying the uncertainties is non-trivial, and different methods have been suggested and used in the past. Here, we propose a method that…

大气与海洋物理 · 物理学 2018-03-14 Ehud Strobach , Golan Bel

Prediction markets provide an efficient means to assess uncertain quantities from forecasters. Traditional and competitive strictly proper scoring rules have been shown to incentivize players to provide truthful probabilistic forecasts.…

计算机科学与博弈论 · 计算机科学 2012-02-20 SangIn Chun , Ross D. Shachter

In our digital and connected societies, the development of social networks, online shopping, and reputation systems raises the question of how individuals use social information, and how it affects their decisions. We report experiments…

In robust optimization, the uncertainty set is used to model all possible outcomes of uncertain parameters. In the classic setting, one assumes that this set is provided by the decision maker based on the data available to her. Only…

最优化与控制 · 数学 2019-01-23 Trivikram Dokka , Marc Goerigk , Rahul Roy

We analyze the accuracy of collective decision-making in socially connected populations, where agents update binary choices through local interactions on a network. Each agent receives a private signal that is biased -- even marginally --…

统计方法学 · 统计学 2025-04-29 Dan Braha , Marcus A. M. de Aguiar

Estimating the unknown number of classes in a population has numerous important applications. In a Poisson mixture model, the problem is reduced to estimating the odds that a class is undetected in a sample. The discontinuity of the odds…

统计理论 · 数学 2007-08-22 Chang Xuan Mao , Bruce G. Lindsay

The inability of artificial neural networks to assess the uncertainty of their predictions is an impediment to their widespread use. We distinguish two types of learnable uncertainty: model uncertainty due to a lack of training data and…

机器学习 · 计算机科学 2022-06-14 Hans Weytjens , Jochen De Weerdt

Recommending the best course of action for an individual is a major application of individual-level causal effect estimation. This application is often needed in safety-critical domains such as healthcare, where estimating and communicating…

机器学习 · 计算机科学 2020-10-26 Andrew Jesson , Sören Mindermann , Uri Shalit , Yarin Gal

Financial market forecasting remains a formidable challenge despite the surge in computational capabilities and machine learning advancements. While numerous studies have underscored the precision of computer-generated market predictions,…

计算金融 · 定量金融 2023-11-16 Reza Yarbakhsh , Mahdieh Soleymani Baghshah , Hamidreza Karimaghaie

This article presents methods for estimating extreme probabilities, beyond the range of the observations. These methods are model-free and applicable to almost any sample size. They are grounded in order statistics theory and have a wide…

应用统计 · 统计学 2025-04-03 Joan del Castillo , Pedro Puig

In a crowd forecasting system, aggregation is an algorithm that returns aggregated probabilities for each question based on the probabilities provided per question by each individual in the crowd. Various aggregation methods have been…

应用统计 · 统计学 2022-03-18 Yuzhong Huang , Andres Abeliuk , Fred Morstatter , Pavel Atanasov , Aram Galstyan

We consider the problem of directly optimizing a non-linear function of an outcome, where this outcome itself is the sum of many small contributions. The non-linearity of the function means that the problem is not equivalent to the…

机器学习 · 统计学 2025-09-04 Benjamin Heymann , Otmane Sakhi

The odds ratio measure is used in health and social surveys where the odds of a certain event is to be compared between two populations. It is defined using logistic regression, and requires that data from surveys are accompanied by their…

统计方法学 · 统计学 2014-07-01 C. Goga , A Ruiz-Gazen

Can Large Language Models (AI agents) aggregate dispersed private information through trading and reason about the knowledge of others by observing price movements? We conduct a controlled experiment where AI agents trade in a prediction…

综合经济学 · 经济学 2026-05-08 Spyros Galanis