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Forecast evaluation plays a key role in how empirical evidence shapes the development of the discipline. Domain experts are interested in error measures relevant for their decision making needs. Such measures may produce unreliable results.…

Machine Learning · Computer Science 2021-08-10 Hansika Hewamalage , Pablo Montero-Manso , Christoph Bergmeir , Rob J Hyndman

In this paper, we propose a suboptimal moving horizon estimator for nonlinear systems. For the stability analysis we transfer the "feasibility-implies-stability/robustness" paradigm from model predictive control to the context of moving…

Systems and Control · Electrical Eng. & Systems 2021-09-13 Julian D. Schiller , Sven Knüfer , Matthias A. Müller

Seasonal time series Forecasting remains a challenging problem due to the long-term dependency from seasonality. In this paper, we propose a two-stage framework to forecast univariate seasonal time series. The first stage explicitly learns…

Machine Learning · Computer Science 2021-06-08 Qingyang Xu , Qingsong Wen , Liang Sun

Forecasting is an indispensable element of operational research (OR) and an important aid to planning. The accurate estimation of the forecast uncertainty facilitates several operations management activities, predominantly in supporting…

Methodology · Statistics 2020-11-18 Xiaoqian Wang , Yanfei Kang , Fotios Petropoulos , Feng Li

Model mismatch often poses challenges in model-based controller design. This paper investigates model predictive control (MPC) of uncertain linear systems with input constraints, focusing on stability and closed-loop infinite-horizon…

Optimization and Control · Mathematics 2025-03-06 Changrui Liu , Shengling Shi , Bart De Schutter

Time series forecasting has gained lots of attention recently; this is because many real-world phenomena can be modeled as time series. The massive volume of data and recent advancements in the processing power of the computers enable…

Machine Learning · Computer Science 2021-04-01 Manie Tadayon , Yumi Iwashita

This paper introduces a novel approach in designing prediction horizons on a generalized predictive control for a DC/DC boost converter. This method involves constructing a closed-loop system model and assessing the impact of different…

Systems and Control · Electrical Eng. & Systems 2024-04-26 Yuan Li , Subham Sahoo , Sergio Vazquez , Yichao Zhang , Tomislav Dragicevic , Frede Blaabjerg

A functional time series approach is proposed for investigating spatial correlation in daily maximum temperature forecast errors for 111 cities spread across the U.S. The modelling of spatial correlation is most fruitful for longer forecast…

Methodology · Statistics 2021-11-23 Phillip A. Jang , David S. Matteson

Conformal prediction is a simple and powerful tool that can quantify uncertainty without any distributional assumptions. Many existing methods only address the average coverage guarantee, which is not ideal compared to the stronger…

Machine Learning · Statistics 2023-02-21 Xing Han , Ziyang Tang , Joydeep Ghosh , Qiang Liu

The rapid global expansion of solar photovoltaic (PV) capacity-reaching a record 597 GW in 2024-highlights the urgent need for robust forecasting models to mitigate the grid instability caused by the intermittent nature of solar irradiance.…

Computer Vision and Pattern Recognition · Computer Science 2026-05-20 Sumit Laha , Ankit Sharma , Hassan Foroosh

Consistency models (CMs) are a powerful class of diffusion-based generative models optimized for fast sampling. Most existing CMs are trained using discretized timesteps, which introduce additional hyperparameters and are prone to…

Machine Learning · Computer Science 2025-03-04 Cheng Lu , Yang Song

Forecasting presents a complex estimation challenge, as it involves balancing multiple, often conflicting, priorities and objectives. Conventional forecast optimization methods typically emphasize a single metric--such as minimizing the…

Econometrics · Economics 2026-02-17 Marc Wildi

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 consider the problem of constructing distribution-free prediction intervals for multi-step time series forecasting, with a focus on the temporal dependencies inherent in multi-step forecast errors. We establish that the optimal…

Methodology · Statistics 2026-02-03 Xiaoqian Wang , Rob J Hyndman

We develop a novel continuous-time asymptotic framework for inference on whether the predictive ability of a given forecast model remains stable over time. We formally define forecast instability from the economic forecaster's perspective…

Econometrics · Economics 2018-12-04 Alessandro Casini

MMitigating contrail-induced warming by re-routing flights around contrail-forming regions requires accurate and stable forecasts of the state of the upper troposphere and lower stratosphere. Forecast stability (i.e., consistency between…

Atmospheric and Oceanic Physics · Physics 2025-12-05 Thomas R Dean , Tristan H Abbott , Zeb Engberg , Nicholas Masson , Roger Teoh , Jonathan P Itcovitz , Marc E J Stettler , Marc L Shapiro

In our contemporary era, meteorological weather forecasts increasingly incorporate ensemble predictions of visibility - a parameter of great importance in aviation, maritime navigation, and air quality assessment, with direct implications…

Applications · Statistics 2025-08-22 Mária Lakatos , Sándor Baran

In many forecasting applications, it is valuable to predict not only the value of a signal at a certain time point in the future, but also the values leading up to that point. This is especially true in clinical applications, where the…

Machine Learning · Computer Science 2019-04-09 Ian Fox , Lynn Ang , Mamta Jaiswal , Rodica Pop-Busui , Jenna Wiens

Fitting models with high predictive accuracy that include all relevant but no irrelevant or redundant features is a challenging task on data sets with similar (e.g. highly correlated) features. We propose the approach of tuning the…

Machine Learning · Statistics 2022-03-23 Andrea Bommert , Jörg Rahnenführer , Michel Lang

Multistage stochastic programming provides a modeling framework for sequential decision-making problems that involve uncertainty. One typically overlooked aspect of this methodology is how uncertainty is incorporated into modeling.…

Optimization and Control · Mathematics 2021-09-24 Juyoung Wang , Mucahit Cevik , Merve Bodur