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Post-processing typically takes the outputs of a Numerical Weather Prediction (NWP) model and applies linear statistical techniques to produce improve localized forecasts, by including additional observations, or determining systematic…

Prediction markets aggregate agents' beliefs regarding a future event, where each agent is paid based on the accuracy of its reported belief when compared to the realized outcome. Agents may strategically manipulate the market (e.g., delay…

Computer Science and Game Theory · Computer Science 2012-12-27 Ayman Ghoneim , Robert C. Williamson

The widespread utilisation of grid-integrated wind electricity necessitates accurate and reliable wind speed forecasting to ensure stable grid and quality power. Machine learning algorithm based wind speed forecasting models are getting…

Signal Processing · Electrical Eng. & Systems 2018-08-13 Valsaraj Perumpalot , G. V. Drisya , K. Satheesh Kumar

In this work we analyse a set of benchmark methods for solar irradiance forecasting based on the clear-sky index, namely, persistence, climatology, smart-persistence and convex combination (CC) of persistence and climatology. To assess the…

Data Analysis, Statistics and Probability · Physics 2022-03-29 Rodrigo Alonso-Suárez , Daniel Aicardi , Franco Marchesoni-Acland

We demonstrate that it is possible to measure metallicity from the SDSS five-band photometry to better than 0.1 dex using supervised machine learning algorithms. Using spectroscopic estimates of metallicity as ground truth, we build,…

Instrumentation and Methods for Astrophysics · Physics 2016-01-21 Viviana Acquaviva

Data-driven weather models have recently achieved state-of-the-art performance, yet progress has plateaued in recent years. This paper introduces a Mixture of Experts (MoWE) approach as a novel paradigm to overcome these limitations, not by…

Governments have to supervise and inspect social economy enterprises (SEEs). However, inspecting all SEEs is not possible due to the large number of SEEs and the low number of inspectors in general. We proposed a prediction model based on a…

Machine Learning · Computer Science 2022-10-12 Joseph Gallego-Mejia , Daniela Martin-Vega , Fabio Gonzalez

A scoring rule is a function of a probabilistic forecast and a corresponding outcome that is used to evaluate forecast performance. A wide range of scoring rules have been defined over time and there is some debate as to which are the most…

Applications · Statistics 2019-08-27 Edward Wheatcroft

As one of the central tasks in machine learning, regression finds lots of applications in different fields. An existing common practice for solving regression problems is the mean square error (MSE) minimization approach or its regularized…

Machine Learning · Statistics 2022-11-24 Jirong Yi , Qiaosheng Zhang , Zhen Chen , Qiao Liu , Wei Shao , Yusen He , Yaohua Wang

We derive the mapping between two of the most pervasive utility functions, the mean square error ($MSE$) and the concordance correlation coefficient (CCC, $\rho_c$). Despite its drawbacks, $MSE$ is one of the most popular performance…

Machine Learning · Computer Science 2020-07-03 Vedhas Pandit , Björn Schuller

Multimodal Large Language Models (MLLMs) achieve strong performance through instruction tuning, but real-world deployment requires them to continually expand their capabilities, making Multimodal Continual Instruction Tuning (MCIT)…

Machine Learning · Computer Science 2026-05-28 Zhen-Hao Xie , Jun-Tao Tang , Yu-Cheng Shi , Han-Jia Ye , De-Chuan Zhan , Da-Wei Zhou

The use of tiered warnings and multicategorical forecasts are ubiquitous in meteorological operations. Here, a flexible family of scoring functions is presented for evaluating the performance of ordered multicategorical forecasts. Each…

Applications · Statistics 2022-05-02 Robert Taggart , Nicholas Loveday , Deryn Griffiths

We provide methods to validate and compare sensor outputs, or inference algorithms applied to sensor data, by adapting statistical scoring rules. The reported output should either be in the form of a prediction interval or of a parameter…

Data Analysis, Statistics and Probability · Physics 2015-07-07 A. D. Martin , T. C. A. Molteno , M. Parry

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

A good prediction is very important for scientific, economic, and administrative purposes. It is therefore necessary to know whether a predictor is skillful enough to predict the future. Given the increased reliance on predictions in…

General Economics · Economics 2022-09-13 Thitithep Sitthiyot , Kanyarat Holasut

Performative predictions are forecasts which influence the outcomes they aim to predict, undermining the existence of correct forecasts and standard methods of elicitation and estimation. We show that conditioning forecasts on covariates…

Statistics Theory · Mathematics 2025-10-27 Philip Boeken , Onno Zoeter , Joris M. Mooij

We analyze the finite sample mean squared error (MSE) performance of regression trees and forests in the high dimensional regime with binary features, under a sparsity constraint. We prove that if only $r$ of the $d$ features are relevant…

Statistics Theory · Mathematics 2020-10-23 Vasilis Syrgkanis , Manolis Zampetakis

The evaluation of probabilistic forecasts plays a central role both in the interpretation and in the use of forecast systems and their development. Probabilistic scores (scoring rules) provide statistical measures to assess the quality of…

Methodology · Statistics 2020-12-24 Hailiang Du

In high-dimensional data analysis, regularization methods pursuing sparsity and/or low rank have received a lot of attention recently. To provide a proper amount of shrinkage, it is typical to use a grid search and a model comparison…

Methodology · Statistics 2019-01-01 Yiyuan She , Hoang Tran

Forecast quality should be assessed in the context of what is possible in theory and what is reasonable to expect in practice. Often, one can identify an approximate upper bound to a probabilistic forecast's sharpness, which sets a lower,…

Applications · Statistics 2025-11-11 Malte C. Tichy , Illia Babounikau , Nikolas Wolke , Stefan Ulbrich , Michael Feindt