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Sub-seasonal weather forecasts are becoming increasingly important for a range of socio-economic activities. However, the predictive ability of physical weather models is very limited on these time scales. We propose several post-processing…

Atmospheric and Oceanic Physics · Physics 2023-06-29 Nina Horat , Sebastian Lerch

Inverse probability weighting (IPW) methods are commonly used to analyze non-ignorable missing data under the assumption of a logistic model for the missingness probability. However, solving IPW equations numerically may involve…

Methodology · Statistics 2025-07-24 Pengfei Li , Jing Qin , Yukun Liu

This paper investigates the use of probabilistic neural networks (PNNs) to model aleatoric uncertainty, which refers to the inherent variability in the input-output relationships of a system, often characterized by unequal variance or…

Machine Learning · Statistics 2024-02-22 Farhad Pourkamali-Anaraki , Jamal F. Husseini , Scott E. Stapleton

Probability estimation models play an important role in various fields, such as weather forecasting, recommendation systems, and sports analysis. Among several models estimating probabilities, it is difficult to evaluate which model gives…

Machine Learning · Computer Science 2024-06-06 Euihyeon Choi , Jooyoung Kim , Wonkyung Lee

The success of autonomous systems will depend upon their ability to safely navigate human-centric environments. This motivates the need for a real-time, probabilistic forecasting algorithm for pedestrians, cyclists, and other agents since…

Robotics · Computer Science 2017-06-21 Henry O. Jacobs , Owen K. Hughes , Matthew Johnson-Roberson , Ram Vasudevan

Forecasting the wide variety of high-impact weather events experienced globally is a challenge for both Artificial Intelligence (AI) and Numerical Weather Prediction (NWP) models and it is critical that such models be properly verified…

This short study presents an opportunistic approach to a (more) reliable validation method for prediction uncertainty average calibration. Considering that variance-based calibration metrics (ZMS, NLL, RCE...) are quite sensitive to the…

Machine Learning · Statistics 2024-08-27 Pascal Pernot

This paper develops a practical framework for using observational data to audit the consumer surplus effects of AI-driven decisions, specifically in targeted pricing and algorithmic lending. Traditional approaches first estimate demand…

Machine Learning · Statistics 2026-01-06 Zeyu Bian , Max Biggs , Ruijiang Gao , Zhengling Qi

Fair scores reward ensemble forecast members that behave like samples from the same distribution as the verifying observations. They are therefore an attractive choice as loss functions to train data-driven ensemble forecasts or…

Atmospheric and Oceanic Physics · Physics 2026-02-18 Christopher David Roberts

In various applications, probabilistic forecasts are required to quantify the inherent uncertainty associated with the forecast. However, numerous modern forecasting methods are still designed to create deterministic forecasts. Transforming…

Machine Learning · Computer Science 2023-02-06 Kaleb Phipps , Benedikt Heidrich , Marian Turowski , Moritz Wittig , Ralf Mikut , Veit Hagenmeyer

Recently, multiple data-driven models based on machine learning for weather forecasting have emerged. These models are highly competitive in terms of accuracy compared to traditional numerical weather prediction (NWP) systems. In…

Machine Learning · Computer Science 2023-08-10 Wencong Cheng , Yan Yan , Jiangjiang Xia , Qi Liu , Chang Qu , Zhigang Wang

Anecdotally, using an estimated propensity score is superior to the true propensity score in estimating the average treatment effect based on observational data. However, this claim comes with several qualifications: it holds only if…

Methodology · Statistics 2023-04-03 Fangzhou Su , Wenlong Mou , Peng Ding , Martin J. Wainwright

Continuous treatments have posed a significant challenge for causal inference, both in the formulation and identification of scientifically meaningful effects and in their robust estimation. Traditionally, focus has been placed on…

Methodology · Statistics 2022-06-29 Nima S. Hejazi , David Benkeser , Iván Díaz , Mark J. van der Laan

The win ratio (WR) is a widely used metric to compare treatments in randomized clinical trials with hierarchically ordered endpoints. Counting-based approaches, such as Pocock's algorithm, are the standard for WR estimation. However, this…

Methodology · Statistics 2026-02-17 Yi Liu , Huiman Barnhart , Sean O'Brien , Yuliya Lokhnygina , Roland A. Matsouaka

Algorithmic fairness involves expressing notions such as equity, or reasonable treatment, as quantifiable measures that a machine learning algorithm can optimise. Most work in the literature to date has focused on classification problems…

Machine Learning · Computer Science 2020-03-06 Daniel Steinberg , Alistair Reid , Simon O'Callaghan

Context: Software engineering has a problem in that when we empirically evaluate competing prediction systems we obtain conflicting results. Objective: To reduce the inconsistency amongst validation study results and provide a more formal…

Software Engineering · Computer Science 2021-01-15 Martin Shepperd , Stephen G. MacDonell

The planning and operation of renewable energy, especially wind power, depend crucially on accurate, timely, and high-resolution weather information. Coarse-grid global numerical weather forecasts are typically downscaled to meet these…

Architecture-based Performance Prediction (AbPP) allows evaluation of the performance of systems and to answer what-if questions without measurements for all alternatives. A difficulty when creating models is that Performance Model…

Software Engineering · Computer Science 2020-07-01 Manar Mazkatli , David Monschein , Johannes Grohmann , Anne Koziolek

Forecasting and forecast evaluation are inherently sequential tasks. Predictions are often issued on a regular basis, such as every hour, day, or month, and their quality is monitored continuously. However, the classical statistical tools…

Methodology · Statistics 2022-07-04 Sebastian Arnold , Alexander Henzi , Johanna F. Ziegel

Probability forecasts of events are routinely used in climate predictions, in forecasting default probabilities on bank loans or in estimating the probability of a patient's positive response to treatment. Scoring rules have long been used…

Statistics Theory · Mathematics 2012-02-24 Tze Leung Lai , Shulamith T. Gross , David Bo Shen
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