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Delay embedding---a method for reconstructing dynamical systems by delay coordinates---is widely used to forecast nonlinear time series as a model-free approach. When multivariate time series are observed, several existing frameworks can be…

Machine Learning · Statistics 2019-07-04 Shunya Okuno , Kazuyuki Aihara , Yoshito Hirata

To improve the predictive capacity of system models in the input-output sense, this paper presents a framework for model updating via learning of modeling uncertainties in locally (and thus also in globally) Lipschitz nonlinear systems.…

Systems and Control · Electrical Eng. & Systems 2024-06-11 Farhad Ghanipoor , Carlos Murguia , Peyman Mohajerin Esfahani , Nathan van de Wouw

Traditional time series forecasting methods optimize for accuracy alone. This objective neglects temporal consistency, in other words, how consistently a model predicts the same future event as the forecast origin changes. We introduce the…

Machine Learning · Computer Science 2026-04-24 Chutian Ma , Grigorii Pomazkin , Giacinto Paolo Saggese , Paul Smith

The use of algorithmic predictions in decision-making leads to a feedback loop where the models we deploy actively influence the data distributions we see, and later use to retrain on. This dynamic was formalized by Perdomo et al. 2020 in…

Machine Learning · Computer Science 2026-03-02 Gabriele Farina , Juan Carlos Perdomo

Disturbances in space weather can negatively affect several fields, including aviation and aerospace, satellites, oil and gas industries, and electrical systems, leading to economic and commercial losses. Solar flares are the most…

Solar and Stellar Astrophysics · Physics 2020-05-07 T. Cinto , A. L. S. Gradvohl , G. P. Coelho , A. E. A. da Silva

Delivering precise point and distributional forecasts across a spectrum of prediction horizons represents a significant and enduring challenge in the application of time-series forecasting within various industries. Prior research on…

Machine Learning · Computer Science 2024-10-22 Jiawen Zhang , Xumeng Wen , Zhenwei Zhang , Shun Zheng , Jia Li , Jiang Bian

Neural networks have become increasingly popular in controller design due to their versatility and efficiency. However, their integration into feedback systems can pose stability challenges, particularly in the presence of uncertainties.…

Optimization and Control · Mathematics 2025-03-04 Yuhao Zhang , Xiangru Xu

As the use of machine learning in high impact domains becomes widespread, the importance of evaluating safety has increased. An important aspect of this is evaluating how robust a model is to changes in setting or population, which…

Machine Learning · Computer Science 2021-03-16 Adarsh Subbaswamy , Roy Adams , Suchi Saria

Predictive geometric models deliver excellent results for many Machine Learning use cases. Despite their undoubted performance, neural predictive algorithms can show unexpected degrees of instability and variance, particularly when applied…

Machine Learning · Computer Science 2018-07-20 Michaela Regneri , Malte Hoffmann , Jurij Kost , Niklas Pietsch , Timo Schulz , Sabine Stamm

Researchers in empirical software engineering often make claims based on observable data such as defect reports. Unfortunately, in many cases, these claims are generalized beyond the data sets that have been evaluated. Will the researcher's…

Software Engineering · Computer Science 2020-08-10 Abdul Ali Bangash , Hareem Sahar , Abram Hindle , Karim Ali

Demand forecasting is a crucial component of demand management. While shortening the forecasting horizon allows for more recent data and less uncertainty, this frequently means lower data aggregation levels and a more significant data…

Machine Learning · Computer Science 2021-03-26 Jože M. Rožanec , Dunja Mladenić

Standard weather forecast evaluations focus on the forecaster's perspective and on a statistical assessment comparing forecasts and observations. In practice, however, forecasts are used to make decisions, so it seems natural to take the…

Machine Learning · Computer Science 2025-12-18 Kornelius Raeth , Nicole Ludwig

A model-based approach to forecasting chaotic dynamical systems utilizes knowledge of the physical processes governing the dynamics to build an approximate mathematical model of the system. In contrast, machine learning techniques have…

Machine Learning · Computer Science 2018-05-09 Jaideep Pathak , Alexander Wikner , Rebeckah Fussell , Sarthak Chandra , Brian Hunt , Michelle Girvan , Edward Ott

Real time large scale streaming data pose major challenges to forecasting, in particular defying the presence of human experts to perform the corresponding analysis. We present here a class of models and methods used to develop an…

Applications · Statistics 2018-03-14 Roi Naveiro , Simón Rodríguez , David Ríos Insua

Electric energy is difficult to store, requiring stricter control over its generation, transmission, and distribution. A persistent challenge in power systems is maintaining real-time equilibrium between electricity demand and supply.…

Signal Processing · Electrical Eng. & Systems 2025-05-27 Aurausp Maneshni

A novel forecast combination and weighted quantile based tail-risk forecasting framework is proposed, aiming to reduce the impact of modelling uncertainty in tail-risk forecasting. The proposed approach is based on a two-step estimation…

Risk Management · Quantitative Finance 2021-07-20 Giuseppe Storti , Chao Wang

A long noted difficulty when assessing the reliability (or calibration) of forecasting systems is that reliability, in general, is a hypothesis not about a finite dimensional parameter but about an entire functional relationship. A…

Data Analysis, Statistics and Probability · Physics 2020-12-09 Jochen Bröcker

In the current context of Big Data, the nature of many forecasting problems has changed from predicting isolated time series to predicting many time series from similar sources. This has opened up the opportunity to develop competitive…

Machine Learning · Computer Science 2021-03-23 Hansika Hewamalage , Christoph Bergmeir , Kasun Bandara

Accurate demand forecasting is critical for supply chain optimization, yet remains difficult in practice due to hierarchical complexity, domain shifts, and evolving external factors. While recent foundation models offer strong potential for…

Machine Learning · Computer Science 2025-07-30 Wei Yang , Defu Cao , Yan Liu

Accuracy in fertility forecasting has proved challenging and warrants renewed attention. One way to improve accuracy is to combine the strengths of a set of existing models through model averaging. The model-averaged forecast is derived…

Applications · Statistics 2020-09-21 Han Lin Shang , Heather Booth