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The solar wind speed at Earth is one of the most important parameters regarding the effects of space weather on society. Thus far, most approaches for predicting the solar wind speed produce a single-value time series without uncertainty,…

Solar and Stellar Astrophysics · Physics 2026-03-13 Daniel E. da Silva , Yash Parlikar , Shaela I. Jones , Charles N. Arge

We introduce a novel modeling approach for time series imputation and forecasting, tailored to address the challenges often encountered in real-world data, such as irregular samples, missing data, or unaligned measurements from multiple…

Complex-valued signals are used in the modeling of many systems in engineering and science, hence being of fundamental interest. Often, random complex-valued signals are considered to be proper. A proper complex random variable or process…

Machine Learning · Computer Science 2015-02-19 Rafael Boloix-Tortosa , F. Javier Payán-Somet , Eva Arias-de-Reyna , Juan José Murillo-Fuentes

In order to enable the transition towards renewable energy sources, probabilistic energy forecasting is of critical importance for incorporating volatile power sources such as solar energy into the electrical grid. Solar energy forecasting…

Applications · Statistics 2021-05-03 Benedikt Schulz , Mehrez El Ayari , Sebastian Lerch , Sándor Baran

Conditional diffusion models provide a natural framework for probabilistic prediction of dynamical systems and have been successfully applied to fluid dynamics and weather prediction. However, in many settings, the available information at…

Regional solar power forecasting, which involves predicting the total power generation from all rooftop photovoltaic systems in a region holds significant importance for various stakeholders in the energy sector. However, the vast amount of…

Machine Learning · Computer Science 2024-03-05 Maneesha Perera , Julian De Hoog , Kasun Bandara , Damith Senanayake , Saman Halgamuge

Currently, machine learning is widely used across various domains, including time series data analysis. However, some machine learning models function as black boxes, making interpretability a critical concern. One approach to address this…

Machine Learning · Computer Science 2025-12-01 Keita Kinjo

A robust model for time series forecasting is highly important in many domains, including but not limited to financial forecast, air temperature and electricity consumption. To improve forecasting performance, traditional approaches usually…

Machine Learning · Computer Science 2019-09-19 Long H. Nguyen , Zhenhe Pan , Opeyemi Openiyi , Hashim Abu-gellban , Mahdi Moghadasi , Fang Jin

The accurate prediction of precipitation is important to allow for reliable warnings of flood or drought risk in a changing climate. However, to make trust-worthy predictions of precipitation, at a local scale, is one of the most difficult…

Computation · Statistics 2021-02-26 Sherman Lo , Peter Watson , Peter Dueben , Ritabrata Dutta

In this study, we propose an approach for predicting rare events by exploiting time series in coevolution. Our approach involves a weighted autologistic regression model, where we leverage the temporal behavior of the data to enhance…

Machine Learning · Computer Science 2023-12-18 Hadia Mecheri , Islam Benamirouche , Feriel Fass , Djemel Ziou , Nassima Kadri

Modeling and predicting solar events, particularly the solar ramping event, is critical for improving situational awareness for solar power generation systems. It has been acknowledged that weather conditions such as temperature, humidity,…

Applications · Statistics 2022-06-20 Minghe Zhang , Chen Xu , Andy Sun , Feng Qiu , Yao Xie

Interval-valued data receives much attention due to its wide applications in the fields of finance, econometrics, meteorology and medicine. However, most regression models developed for interval-valued data assume observations are mutually…

Applications · Statistics 2022-10-31 Tingting Huang

Due to the increasing integration of solar power into the electrical grid, forecasting short-term solar irradiance has become key for many applications, e.g.~operational planning, power purchases, reserve activation, etc. In this context,…

Machine Learning · Statistics 2019-11-13 Jesus Lago , Karel De Brabandere , Fjo De Ridder , Bart De Schutter

Collecting time series data spatially distributed in many locations is often important for analyzing climate change and its impacts on ecosystems. However, comprehensive spatial data collection is not always feasible, requiring us to…

Machine Learning · Computer Science 2024-06-06 Shihori Koyama , Daisuke Inoue , Hiroaki Yoshida , Kazuyuki Aihara , Gouhei Tanaka

This paper addresses the prediction of stationary functional time series. Existing contributions to this problem have largely focused on the special case of first-order functional autoregressive processes because of their technical…

Methodology · Statistics 2014-04-01 Alexander Aue , Diogo Dubart Norinho , Siegfried Hörmann

The prediction of extreme events in time series is a fundamental problem arising in many financial, scientific, engineering, and other applications. We begin by establishing a general Neyman-Pearson-type characterization of optimal extreme…

Statistics Theory · Mathematics 2025-01-17 Victor Verma , Stilian Stoev , Yang Chen

Modern time series forecasting methods, such as Transformer and its variants, have shown strong ability in sequential data modeling. To achieve high performance, they usually rely on redundant or unexplainable structures to model complex…

Machine Learning · Computer Science 2023-11-30 Jingyi Hou , Zhen Dong , Jiayu Zhou , Zhijie Liu

Time series analysis finds wide applications in fields such as weather forecasting, anomaly detection, and behavior recognition. Previous methods attempted to model temporal variations directly using 1D time series. However, this has been…

Machine Learning · Computer Science 2024-11-08 Qiang Wu , Gechang Yao , Zhixi Feng , Shuyuan Yang

In heliophysics research, predicting solar flares is crucial due to their potential to impact both space-based systems and Earth's infrastructure substantially. Magnetic field data from solar active regions, recorded by solar imaging…

Machine Learning · Computer Science 2024-11-19 Onur Vural , Shah Muhammad Hamdi , Soukaina Filali Boubrahimi

Global and regional climate model projections are useful for gauging future patterns of climate variables, including solar radiation, but data from these models is often too coarse to assess local impacts. Within the context of solar…

Applications · Statistics 2024-05-21 Maggie Bailey , Doug Nychka , Manajit Sengupta , Jaemo Yang , Soutir Bandyopadhyay
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