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Preheating after inflation may lead to nonthermal phase transitions with symmetry restoration. These phase transitions may occur even if the total energy density of fluctuations produced during reheating is relatively small as compared with…

High Energy Physics - Phenomenology · Physics 2009-10-31 Gary Felder , Lev Kofman , Andrei Linde , Igor Tkachev

We propose two types of equal predictive ability (EPA) tests with panels to compare the predictions made by two forecasters. The first type, namely $S$-statistics, focuses on the overall EPA hypothesis which states that the EPA holds on…

Econometrics · Economics 2023-02-07 Oguzhan Akgun , Alain Pirotte , Giovanni Urga , Zhenlin Yang

Uncertainty quantification is crucial to decision-making. A prominent example is probabilistic forecasting in numerical weather prediction. The dominant approach to representing uncertainty in weather forecasting is to generate an ensemble…

Machine Learning · Computer Science 2023-10-10 Lizao Li , Rob Carver , Ignacio Lopez-Gomez , Fei Sha , John Anderson

Energy is a critical driver of modern economic systems. Accurate energy price forecasting plays an important role in supporting decision-making at various levels, from operational purchasing decisions at individual business organizations to…

Machine Learning · Computer Science 2024-11-07 Alexandru-Victor Andrei , Georg Velev , Filip-Mihai Toma , Daniel Traian Pele , Stefan Lessmann

Behavior of systems that are functions of anticipated behavior of other systems, whose own behavior is also anticipatory but homeostatic and determined by hierarchical ordering, which changes over time, of sets of possible environments that…

General Finance · Quantitative Finance 2013-07-17 Leonid A. Shapiro

In this paper, we present a comprehensive analysis of extreme temperature patterns using emerging statistical machine learning techniques. Our research focuses on exploring and comparing the effectiveness of various statistical models for…

Applications · Statistics 2023-07-27 Kameron B. Kinast , Ernest Fokoué

Conformal prediction is a powerful post-hoc framework for uncertainty quantification that provides distribution-free coverage guarantees. However, these guarantees crucially rely on the assumption of exchangeability. This assumption is…

Methodology · Statistics 2025-11-18 M. Stocker , W. Małgorzewicz , M. Fontana , S. Ben Taieb

Statistical postprocessing is routinely applied to correct systematic errors of numerical weather prediction models (NWP) and to automatically produce calibrated local forecasts for end-users. Postprocessing is particularly relevant in…

Accurate and reliable forecasting of photovoltaic (PV) power generation is crucial for grid operations, electricity markets, and energy planning, as solar systems now contribute a significant share of the electricity supply in many…

Applications · Statistics 2025-08-22 Martin János Mayer , Ágnes Baran , Sebastian Lerch , Nina Horat , Dazhi Yang , Sándor Baran

Electricity price forecasting (EPF) is a branch of forecasting on the interface of electrical engineering, statistics, computer science, and finance, which focuses on predicting prices in wholesale electricity markets for a whole spectrum…

Statistical Finance · Quantitative Finance 2022-04-26 Arkadiusz Jędrzejewski , Jesus Lago , Grzegorz Marcjasz , Rafał Weron

With present and future observations becoming of higher and higher quality, it is timely and necessary to investigate the most significant theoretical uncertainties in the predictions of inflation. We show that our ignorance of the entire…

Astrophysics · Physics 2013-03-19 William H. Kinney , Antonio Riotto

The spectrum of primordial fluctuations from inflation can be obtained using a mathematically controlled, and systematically extendable, uniform approximation. Closed-form expressions for power spectra and spectral indices may be found…

We consider small-field models which invoke the usual framework for the effective field theory, and large-field models which go beyond that. Present and future possibilities for discriminating between the models are assessed, on the…

Astrophysics · Physics 2015-06-24 Laila Alabidi , David Lyth

We study the properties of macroeconomic survey forecast response averages as the number of survey respondents grows. Such averages are ``portfolios" of forecasts. We characterize the speed and pattern of the gains from diversification as a…

Econometrics · Economics 2026-02-24 Francis X. Diebold , Aaron Mora , Minchul Shin

Given a nonlinear model, a probabilistic forecast may be obtained by Monte Carlo simulations. At a given forecast horizon, Monte Carlo simulations yield sets of discrete forecasts, which can be converted to density forecasts. The resulting…

Chaotic Dynamics · Physics 2013-07-24 Reason Lesego Machete

In this paper, we undertake a detailed study of real scalar inflation by employing LATTICEEASY simulations to investigate preheating phenomena. Generally, the scalar inflation potential with non-minimal coupling can be approximated by a…

Cosmology and Nongalactic Astrophysics · Physics 2024-03-15 Wei Cheng , Tong Qin , Jiujiang Jiang , Ruiyu Zhou

Statistical postprocessing techniques are nowadays key components of the forecasting suites in many National Meteorological Services (NMS), with for most of them, the objective of correcting the impact of different types of errors on the…

Probabilistic electricity price forecasting (PEPF) is subject of increasing interest, following the demand for proper quantification of prediction uncertainty, to support the operation in complex power markets with increasing share of…

Machine Learning · Computer Science 2024-06-11 Alessandro Brusaferri , Andrea Ballarino , Luigi Grossi , Fabrizio Laurini

Nowadays, weather prediction is based on numerical weather prediction (NWP) models to produce an ensemble of forecasts. Despite of large improvements over the last few decades, they still tend to exhibit systematic bias and dispersion…

Applications · Statistics 2024-02-02 David Jobst , Annette Möller , Jürgen Groß

Reheating is a transition era after the end of inflation, during which the inflaton is converted into the particles that populate the Universe at later times. No direct cosmological observables are normally traceable to this period of…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-23 Jessica L. Cook , Emanuela Dimastrogiovanni , Damien A. Easson , Lawrence M. Krauss