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The problem of combining individual forecasters to produce a forecaster with improved performance is considered. The connections between probability elicitation and classification are used to pose the combining forecaster problem as that of…

Methodology · Statistics 2017-07-11 Hamed Masnadi-Shirazi

For each of $T$ time steps, $m$ experts report probability distributions over $n$ outcomes; we wish to learn to aggregate these forecasts in a way that attains a no-regret guarantee. We focus on the fundamental and practical aggregation…

Machine Learning · Computer Science 2023-10-11 Eric Neyman , Tim Roughgarden

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…

Applications · Statistics 2020-05-19 Thomas McAndrew , Nutcha Wattanachit , G. Casey Gibson , Nicholas G. Reich

We consider the forecast aggregation problem in repeated settings, where the forecasts are done on a binary event. At each period multiple experts provide forecasts about an event. The goal of the aggregator is to aggregate those forecasts…

Machine Learning · Computer Science 2018-02-21 Yakov Babichenko , Dan Garber

Rule learning approaches for knowledge graph completion are efficient, interpretable and competitive to purely neural models. The rule aggregation problem is concerned with finding one plausibility score for a candidate fact which was…

Artificial Intelligence · Computer Science 2023-09-04 Patrick Betz , Stefan Lüdtke , Christian Meilicke , Heiner Stuckenschmidt

In collaborative forecast projects, the combining of multiple probabilistic forecasts into an ensemble is standard practice, with linear pooling being a common combination method. The weighting scheme of a linear pool should be tailored to…

Methodology · Statistics 2025-09-05 Spencer Wadsworth , Jarad Niemi

The classic concept of "calibrated forecasts" and its more recent refinement, "calibeating," are defined with respect to the standard quadratic scoring rule. We extend these notions to the class of $\textit{proper}$ scoring rules (for which…

Theoretical Economics · Economics 2026-05-28 Dean P. Foster , Sergiu Hart

Many decision problems cannot be solved exactly and use several estimation algorithms that assign scores to the different available options. The estimation errors can have various correlations, from low (e.g. between two very different…

Machine Learning · Computer Science 2023-09-06 Theo Delemazure , François Durand , Fabien Mathieu

This paper studies statistical aggregation procedures in regression setting. A motivating factor is the existence of many different methods of estimation, leading to possibly competing estimators. We consider here three different types of…

Statistics Theory · Mathematics 2007-06-13 Florentina Bunea , Alexandre Tsybakov , Marten Wegkamp

This paper studies statistical aggregation procedures in the regression setting. A motivating factor is the existence of many different methods of estimation, leading to possibly competing estimators. We consider here three different types…

Statistics Theory · Mathematics 2009-09-29 Florentina Bunea , Alexandre B. Tsybakov , Marten H. Wegkamp

Nowadays, several crowdsourcing projects exploit social choice methods for computing an aggregate ranking of alternatives given individual rankings provided by workers. Motivated by such systems, we consider a setting where each worker is…

Computer Science and Game Theory · Computer Science 2018-11-27 Ioannis Caragiannis , Xenophon Chatzigeorgiou , George A. Krimpas , Alexandros A. Voudouris

The model averaging problem is to average multiple models to achieve a prediction accuracy not much worse than that of the best single model in terms of mean squared error. It is known that if the models are misspecified, model averaging is…

Statistics Theory · Mathematics 2018-02-28 Dong Dai , Lei Han , Ting Yang , Tong Zhang

Proper scoring rules are an essential tool to assess the predictive performance of probabilistic forecasts. However, propriety alone does not ensure an informative characterization of predictive performance and it is recommended to compare…

Methodology · Statistics 2025-03-14 Romain Pic , Clément Dombry , Philippe Naveau , Maxime Taillardat

The article is devoted to investigating the application of aggregating algorithms to the problem of the long-term forecasting. We examine the classic aggregating algorithms based on the exponential reweighing. For the general Vovk's…

Machine Learning · Computer Science 2019-02-27 Alexander Korotin , Vladimir V'yugin , Evgeny Burnaev

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.…

Computer Science and Game Theory · Computer Science 2025-12-08 Rafael Frongillo , Mary Monroe , Eric Neyman , Bo Waggoner

Forecast reconciliation of multivariate time series is the process of mapping a set of incoherent forecasts into coherent forecasts to satisfy a given set of linear constraints. Commonly used projection matrix based approaches for point…

Methodology · Statistics 2021-03-23 Shanika L Wickramasuriya

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…

Methodology · Statistics 2022-03-31 Juntao Wang , Yang Liu , Yiling Chen

When predicting future events, it is common to issue forecasts that are probabilistic, in the form of probability distributions over the range of possible outcomes. Such forecasts can be evaluated using proper scoring rules. Proper scoring…

Computation · Statistics 2023-05-15 Sam Allen

Typically, point forecasting methods are compared and assessed by means of an error measure or scoring function, such as the absolute error or the squared error. The individual scores are then averaged over forecast cases, to result in a…

Statistics Theory · Mathematics 2010-03-09 Tilmann Gneiting

We propose a simple empirical scaling law that describes load forecasting accuracy at different levels of aggregation. The model is justified based on a simple decomposition of individual consumption patterns. We show that for different…

Applications · Statistics 2017-09-01 Raffi Sevlian , Ram Rajagopal
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