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The characteristics of influenza seasons varies substantially from year to year, posing challenges for public health preparation and response. Influenza forecasting is used to inform seasonal outbreak response, which can in turn potentially…

Applications · Statistics 2022-03-16 Nutcha Wattanachit , Evan L. Ray , Thomas C. McAndrew , Nicholas G. Reich

Distributional forecasts are important for a wide variety of applications, including forecasting epidemics. Often, forecasts are miscalibrated, or unreliable in assigning uncertainty to future events. We present a recalibration method that…

Machine Learning · Computer Science 2023-01-11 Aaron Rumack , Ryan J. Tibshirani , Roni Rosenfeld

Over the last ten years, the US Centers for Disease Control and Prevention (CDC) has organized an annual influenza forecasting challenge with the motivation that accurate probabilistic forecasts could improve situational awareness and yield…

Machine Learning · Statistics 2024-07-30 Evan L. Ray , Yijin Wang , Russell D. Wolfinger , Nicholas G. Reich

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

Influenza forecasting in the United States (US) is complex and challenging for reasons including substantial spatial and temporal variability, nested geographic scales of forecast interest, and heterogeneous surveillance participation. Here…

Applications · Statistics 2019-10-01 Dave Osthus , Kelly R Moran

Prediction markets (e.g., Polymarket, Kalshi) allow participants to bet on future events, producing real-time forecasts based on collective judgment. In domains such as elections and finance, markets have been effective at aggregating…

Applications · Statistics 2026-05-13 Carson Dudley , Reiden Magdaleno

A common form of competition is one where judges grade contestants' performances which are then compiled to determine the final ranking of the contestants. Unlike in another common form of competition where two contestants play a…

Physics and Society · Physics 2016-08-09 Gyuhyeon Jeon , Juyong Park

Multivariate probabilistic verification is concerned with the evaluation of joint probability distributions of vector quantities such as a weather variable at multiple locations or a wind vector for instance. The logarithmic score is a…

Methodology · Statistics 2025-08-22 Martin Leutbecher , Sándor Baran

Scoring rules are used to evaluate the quality of predictions that take the form of probability distributions. A scoring rule is strictly proper if its expected value is uniquely minimized by the true probability distribution. One of the…

Methodology · Statistics 2021-04-05 Zoe Guan

Score-based divergences have been widely used in machine learning and statistics applications. Despite their empirical success, a blindness problem has been observed when using these for multi-modal distributions. In this work, we discuss…

Machine Learning · Statistics 2025-11-25 Mingtian Zhang , Oscar Key , Peter Hayes , David Barber , Brooks Paige , François-Xavier Briol

The leaderboard in machine learning competitions is a tool to show the performance of various participants and to compare them. However, the leaderboard quickly becomes no longer accurate, due to hack or overfitting. This article gives two…

Machine Learning · Statistics 2017-06-08 Wenjie Zheng

Classifiers are often tested on relatively small data sets, which should lead to uncertain performance metrics. Nevertheless, these metrics are usually taken at face value. We present an approach to quantify the uncertainty of…

Machine Learning · Statistics 2021-03-05 Niklas Tötsch , Daniel Hoffmann

The annual influenza outbreak leads to significant public health and economic burdens making it desirable to have prompt and accurate probabilistic forecasts of the disease spread. The United States Centers for Disease Control and…

Applications · Statistics 2025-08-29 Spencer Wadsworth , Jarad Niemi

The classical paradigm of scoring rules is to discriminate between two different forecasts by comparing them with observations. The probability distribution of the observed record is assumed to be perfect as a verification benchmark. In…

Methodology · Statistics 2021-08-06 Julie Bessac , Philippe Naveau

Decision-makers consult multiple forecasts to account for uncertainties when forming judgments about future events. While prior works have compared unaggregated and highly-aggregated designs for displaying multiple forecasts (e.g., Multiple…

Human-Computer Interaction · Computer Science 2026-01-29 Ruishi Zou , Siyi Wu , Racquel Fygenson , Bingsheng Yao , Dakuo Wang , Lace Padilla

Logistic-regression calibration and fusion are potential steps in the calculation of forensic likelihood ratios. The present paper provides a tutorial on logistic-regression calibration and fusion at a practical conceptual level with…

Applications · Statistics 2021-04-20 Geoffrey Stewart Morrison

Infectious disease forecasts can reduce mortality and morbidity by supporting evidence-based public health decision making. Most epidemic models train on surveillance and structured data (e.g. weather, mobility, media), missing contextual…

This paper employs a Bayesian methodology to predict the results of soccer matches in real-time. Using sequential data of various events throughout the match, we utilize a multinomial probit regression in a novel framework to estimate the…

Applications · Statistics 2024-10-17 Chinmay Divekar , Soudeep Deb , Rishideep Roy

The accurate forecasting of infectious epidemic diseases such as influenza is a crucial task undertaken by medical institutions. Although numerous flu forecasting methods and models based mainly on historical flu activity data and online…

Machine Learning · Computer Science 2021-07-08 Taichi Murayama , Shoko Wakamiya , Eiji Aramaki

A user-focused verification approach for evaluating probability forecasts of binary outcomes (also known as probabilistic classifiers) is demonstrated that is (i) based on proper scoring rules, (ii) focuses on user decision thresholds, and…

Applications · Statistics 2024-03-25 Nicholas Loveday , Robert Taggart , Mohammadreza Khanarmuei
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