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Rational respondents to economic surveys may report as a point forecast any measure of the central tendency of their (possibly latent) predictive distribution, for example the mean, median, mode, or any convex combination thereof. We…

Econometrics · Economics 2024-07-24 Timo Dimitriadis , Andrew J. Patton , Patrick W. Schmidt

We re-examine the predictiveness of single-field inflationary models and discuss how an unknown UV completion can complicate determining inflationary model parameters from observations, even from precision measurements. Besides the usual…

High Energy Physics - Phenomenology · Physics 2015-07-21 C. P. Burgess , Subodh P. Patil , Michael Trott

We present the first calculation of the Bayesian evidence for different prototypical single field inflationary scenarios, including representative classes of small field and large field models. This approach allows us to compare…

Cosmology and Nongalactic Astrophysics · Physics 2011-05-10 Jerome Martin , Christophe Ringeval , Roberto Trotta

Long memory in the sense of slowly decaying autocorrelations is a stylized fact in many time series from economics and finance. The fractionally integrated process is the workhorse model for the analysis of these time series. Nevertheless,…

Econometrics · Economics 2023-09-22 Uwe Hassler , Marc-Oliver Pohle

We discuss how ensemble weather forecasts can be used, and highlight the advantages and disadvantages of two particular methods.

Atmospheric and Oceanic Physics · Physics 2007-05-23 Stephen Jewson

Point forecasts can be interpreted as functionals (i.e., point summaries) of predictive distributions. We consider the situation where forecasters' directives are hidden and develop methodology for the identification of the unknown…

Methodology · Statistics 2019-02-19 Patrick Schmidt , Matthias Katzfuß , Tilmann Gneiting

We adopt methods from statistical field theory to stochastic inflation. For the example of a free test field in de Sitter and power-law inflation, the power spectrum of long-wavelength fluctuations is computed. We study its dependence on…

General Relativity and Quantum Cosmology · Physics 2011-02-01 Florian Kuhnel , Dominik J. Schwarz

Consider a regression problem where there is no labeled data and the only observations are the predictions $f_i(x_j)$ of $m$ experts $f_{i}$ over many samples $x_j$. With no knowledge on the accuracy of the experts, is it still possible to…

Machine Learning · Statistics 2017-03-09 Omer Dror , Boaz Nadler , Erhan Bilal , Yuval Kluger

We describe various moment-based ensemble interpretation models for the construction of probabilistic temperature forecasts from ensembles. We apply the methods to one year of medium range ensemble forecasts and perform in and out of sample…

Atmospheric and Oceanic Physics · Physics 2007-05-23 Stephen Jewson

Effective field theory is a powerful organizing principle that allows to describe physics below a certain scale model-independently. Above that energy scale, identified with the cutoff, the EFT description breaks down and new physics is…

Cosmology and Nongalactic Astrophysics · Physics 2013-12-19 Lotfi Boubekeur

We consider forecast comparison in the presence of instability when this affects only a short period of time. We demonstrate that global tests do not perform well in this case, as they were not designed to capture very short-lived…

Econometrics · Economics 2024-05-21 Fabrizio Iacone , Luca Rossini , Andrea Viselli

We examine probabilistic forecasts for battleground states in the 2020 US presidential election, using daily data from two sources over seven months: a model published by The Economist, and prices from the PredictIt exchange. We find…

General Economics · Economics 2021-05-26 Rajiv Sethi , Julie Seager , Emily Cai , Daniel M. Benjamin , Fred Morstatter

We analyze non-minimally coupled scalar field theories in metric (second-order) and Palatini (first-order) formalisms in a comparative fashion. After contrasting them in a general setup, we specialize to inflation and find that the two…

High Energy Physics - Phenomenology · Physics 2008-11-26 Florian Bauer , Durmus A. Demir

Distribution-free uncertainty estimation for ensemble methods is increasingly desirable due to the widening deployment of multi-modal black-box predictive models. Conformal prediction is one approach that avoids such distributional…

Methodology · Statistics 2025-05-26 Eduardo Ochoa Rivera , Yash Patel , Ambuj Tewari

We investigate the performance and sampling variability of estimated forecast combinations, with particular attention given to the combination of forecast distributions. Unknown parameters in the forecast combination are optimized according…

Methodology · Statistics 2022-06-07 Ryan Zischke , Gael M. Martin , David T. Frazier , D. S. Poskitt

The lack of interpretability and transparency are preventing economists from using advanced tools like neural networks in their empirical research. In this paper, we propose a class of interpretable neural network models that can achieve…

Econometrics · Economics 2020-12-01 Yucheng Yang , Zhong Zheng , Weinan E

As artificial intelligence and machine learning tools become more accessible, and scientists face new obstacles to data collection (e.g., rising costs, declining survey response rates), researchers increasingly use predictions from…

Machine Learning · Statistics 2025-12-08 Stephen Salerno , Kentaro Hoffman , Awan Afiaz , Anna Neufeld , Tyler H. McCormick , Jeffrey T. Leek

Forecasting electricity prices is a challenging task and an active area of research since the 1990s and the deregulation of the traditionally monopolistic and government-controlled power sectors. Although it aims at predicting both spot and…

Statistical Finance · Quantitative Finance 2025-07-23 Katarzyna Maciejowska , Bartosz Uniejewski , Rafał Weron

Producing high-quality forecasts of key climate variables, such as temperature and precipitation, on subseasonal time scales has long been a gap in operational forecasting. This study explores an application of machine learning (ML) models…

Machine Learning · Computer Science 2024-09-17 Elena Orlova , Haokun Liu , Raphael Rossellini , Benjamin A. Cash , Rebecca Willett

The reliable estimation of forecast uncertainties is crucial for risk-sensitive optimal decision making. In this paper, we propose implicit generative ensemble post-processing, a novel framework for multivariate probabilistic electricity…

Applications · Statistics 2020-11-16 Tim Janke , Florian Steinke
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