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This study aims to improve the spatial representation of uncertainties when regressing surface wind speeds from large-scale atmospheric predictors for sub-seasonal forecasting. Sub-seasonal forecasting often relies on large-scale…

Machine Learning · Computer Science 2025-10-21 Ganglin Tian , Anastase Alexandre Charantonis , Camille Le Coz , Alexis Tantet , Riwal Plougonven

OOD detection has become more pertinent with advances in network design and increased task complexity. Identifying which parts of the data a given network is misclassifying has become as valuable as the network's overall performance. We can…

Computer Vision and Pattern Recognition · Computer Science 2024-03-05 Rishi Singhal , Srinath Srinivasan

Recurrence quantification analysis (RQA) is a widely used tool for studying complex dynamical systems, but its standard implementation requires computationally expensive calculations of recurrence plots (RPs) and line length histograms.…

Chaotic Dynamics · Physics 2026-01-06 Norbert Marwan

A multivariate quantile regression model with a factor structure is proposed to study data with many responses of interest. The factor structure is allowed to vary with the quantile levels, which makes our framework more flexible than the…

Methodology · Statistics 2020-01-22 Shih-Kang Chao , Wolfgang Karl Härdle , Ming Yuan

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

Quantile Regression (QR) provides a way to approximate a single conditional quantile. To have a more informative description of the conditional distribution, QR can be merged with deep learning techniques to simultaneously estimate multiple…

Machine Learning · Computer Science 2022-02-01 Axel Brando , Joan Gimeno , Jose A. Rodríguez-Serrano , Jordi Vitrià

The objective-based forecasting considers the asymmetric and non-linear impacts of forecasting errors on decision objectives, thus improving the effectiveness of its downstream decision-making process. However, existing objective-based…

Systems and Control · Electrical Eng. & Systems 2023-03-22 Haipeng Zhang , Ran Li , Yan Chen , Zhongda Chu , Mingyang Sun , Fei Teng

Uncertainty quantification is vital for decision-making and risk assessment in machine learning. Mean-variance regression models, which predict both a mean and residual noise for each data point, provide a simple approach to uncertainty…

Machine Learning · Statistics 2025-12-01 Eliot Wong-Toi , Alex Boyd , Vincent Fortuin , Stephan Mandt

Quantile regression is a technique to estimate conditional quantile curves. It provides a comprehensive picture of a response contingent on explanatory variables. In a flexible modeling framework, a specific form of the conditional quantile…

Statistics Theory · Mathematics 2012-08-31 Vladimir Spokoiny , Weining Wang , Wolfgang Karl Härdle

Uncertainty quantification (UQ) has increasing importance in building robust high-performance and generalizable materials property prediction models. It can also be used in active learning to train better models by focusing on getting new…

Materials Science · Physics 2022-11-14 Daniel Varivoda , Rongzhi Dong , Sadman Sadeed Omee , Jianjun Hu

Quantile regression is a method to estimate the quantiles of the conditional distribution of a response variable, and as such it permits a much more accurate portrayal of the relationship between the response variable and observed…

Data Structures and Algorithms · Computer Science 2014-01-08 Jiyan Yang , Xiangrui Meng , Michael W. Mahoney

Symbolic Regression (SR) is a well-established framework for generating interpretable or white-box predictive models. Although SR has been successfully applied to create interpretable estimates of the average of the outcome, it is currently…

Machine Learning · Computer Science 2026-05-19 Cas Oude Hoekstra , Floris den Hengst

Two-stage stochastic programming is a problem formulation for decision-making under uncertainty. In the first stage, the actor makes a best "here and now" decision in the presence of uncertain quantities that will be resolved in the future,…

The integration of renewable energy into electricity markets poses significant challenges to price stability and increases the complexity of market operations. Accurate and reliable electricity price forecasting is crucial for effective…

Machine Learning · Computer Science 2025-02-10 Ciaran O'Connor , Mohamed Bahloul , Roberto Rossi , Steven Prestwich , Andrea Visentin

Techniques from artificial intelligence and machine learning are increasingly employed in nuclear theory, however, the uncertainties that arise from the complex parameter manifold encoded by the neural networks are often overlooked.…

Nuclear Theory · Physics 2025-10-29 Mengyao Huang , Kyle A. Wendt , Nicolas F. Schunck , Erika M. Holmbeck

Modeling price risks is crucial for economic decision making in energy markets. Besides the risk of a single price, the dependence structure of multiple prices is often relevant. We therefore propose a generic and easy-to-implement method…

Econometrics · Economics 2023-03-03 Oliver Grothe , Fabian Kächele , Fabian Krüger

Accurate prediction of electricity prices plays an essential role in the electricity market. To reflect the uncertainty of electricity prices, price intervals are predicted. This paper proposes a novel prediction interval construction…

Machine Learning · Computer Science 2025-01-15 Xin Lu

We explored the potential applications of various Quantum Algorithms for stock price prediction by conducting a series of experimental simulations using both Classical as well as Quantum Hardware. Firstly, we extracted various stock price…

Computational Finance · Quantitative Finance 2023-08-29 Naman S , Gaurang B , Neel S , Aswath Babu H

Among the many ways of quantifying uncertainty in a regression setting, specifying the full quantile function is attractive, as quantiles are amenable to interpretation and evaluation. A model that predicts the true conditional quantiles…

Machine Learning · Computer Science 2021-12-10 Youngseog Chung , Willie Neiswanger , Ian Char , Jeff Schneider

Regression models that go beyond the mean, alongside coherent risk measures, have been important tools in modern data analysis. This paper introduces the innovative concept of Average Quantile Regression (AQR), which is smooth at the…

Statistics Theory · Mathematics 2025-07-01 Rong Jiang , M. C. Jones , Keming Yu , Jiangfeng Wang
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