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A new method is proposed which allows a reconstruction of time series based on higher order multiscale statistics given by a hierarchical process. This method is able to model the time series not only on a specific scale but for a range of…

Data Analysis, Statistics and Probability · Physics 2009-11-13 A. P. Nawroth , J. Peinke

This paper discusses several modern approaches to regression analysis involving time series data where some of the predictor variables are also indexed by time. We discuss classical statistical approaches as well as methods that have been…

Methodology · Statistics 2020-11-02 Stephanie Clark , Rob J Hyndman , Dan Pagendam , Louise M Ryan

This work deals with the problem of estimating a photovoltaic generation forecasting model in scenarios where measurements of meteorological variables (i.e. solar irradiance and temperature) at the plant site are not available. A novel…

Systems and Control · Computer Science 2019-11-07 Gianni Bianchini , Daniele Pepe , Antonio Vicino

We propose a parsimonious spatiotemporal model for time series data on a spatial grid. Our model is capable of dealing with high-dimensional time series data that may be collected at hundreds of locations and capturing the spatial…

Methodology · Statistics 2021-03-02 Yuan Yan , Hsin-Cheng Huang , Marc G. Genton

This paper presents a parametric model approach to address the problem of photovoltaic generation forecasting in a scenario where measurements of meteorological variables, i.e., solar irradiance and temperature, are not available at the…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Daniele Pepe , Gianni Bianchini , Antonio Vicino

Operational flare forecasting aims at providing predictions that can be used to make decisions, typically at a daily scale, about the space weather impacts of flare occurrence. This study shows that video-based deep learning can be used for…

Solar and Stellar Astrophysics · Physics 2022-09-13 Sabrina Guastavino , Francesco Marchetti , Federico Benvenuto , Cristina Campi , Michele Piana

Conformal prediction is a powerful post-hoc framework for uncertainty quantification that provides distribution-free coverage guarantees. However, these guarantees crucially rely on the assumption of exchangeability. This assumption is…

Methodology · Statistics 2025-11-18 M. Stocker , W. Małgorzewicz , M. Fontana , S. Ben Taieb

Long-term hourly time series representing the PV generation in European countries have been obtained and made available under open license. For every country, four different PV configurations, i.e. rooftop, optimum tilt, tracking, and delta…

Physics and Society · Physics 2019-05-14 Marta Victoria , Gorm B. Andresen

In this article, we study a robust estimation method for a general class of integer-valued time series models. The conditional distribution of the process belongs to a broad class of distribution and unlike classical autoregressive…

Statistics Theory · Mathematics 2023-02-01 Mamadou Lamine Diop , William Kengne

In this paper, we present an application of neural networks in the renewable energy domain. We have developed a methodology for the daily prediction of global solar radiation on a horizontal surface. We use an ad-hoc time series…

Artificial Intelligence · Computer Science 2009-06-02 Christophe Paoli , Cyril Voyant , Marc Muselli , Marie-Laure Nivet

Solar radio flux along with geomagnetic indices are important indicators of solar activity and its effects. Extreme solar events such as flares and geomagnetic storms can negatively affect the space environment including satellites in…

Reliable short horizon forecasting of solar and wind generation is a structural prerequisite of any modern power system yet most published forecasters are tuned and evaluated on a single climatic regime and most algorithmic novelty has been…

Computation and Language · Computer Science 2026-05-12 Pavan Manjunath , Thomas Prufer

We introduce a novel deep learning approach that harnesses the power of generative artificial intelligence to enhance the accuracy of contextual forecasting in sewerage systems. By developing a diffusion-based model that processes…

Machine Learning · Computer Science 2025-06-11 Nicholas A. Pearson , Francesca Cairoli , Luca Bortolussi , Davide Russo , Francesca Zanello

Local climate information is crucial for impact assessment and decision-making, yet coarse global climate simulations cannot capture small-scale phenomena. Current statistical downscaling methods infer these phenomena as temporally…

Machine Learning · Computer Science 2025-09-24 Jonathan Schmidt , Luca Schmidt , Felix Strnad , Nicole Ludwig , Philipp Hennig

Probabilistic time series forecasting involves estimating the distribution of future based on its history, which is essential for risk management in downstream decision-making. We propose a deep state space model for probabilistic time…

Machine Learning · Computer Science 2021-02-02 Longyuan Li , Junchi Yan , Xiaokang Yang , Yaohui Jin

In this paper, a nonlinear symbolic regression technique using an evolutionary algorithm known as multi-gene genetic programming (MGGP) is applied for a data-driven modelling between the dependent and the independent variables. The…

Neural and Evolutionary Computing · Computer Science 2014-03-05 Indranil Pan , Daya Shankar Pandey , Saptarshi Das

This paper proposes Fourier-based and wavelet-based techniques for analyzing periodic financial time series. Conventional models such as the periodic autoregressive conditional heteroscedastic (PGARCH) and periodic autoregressive…

Methodology · Statistics 2025-05-12 Rhea Davis , N. Balakrishna

This paper introduces new methods for constructing prediction intervals using quantile-based techniques. The procedures are developed for both classical (homoscedastic) autoregressive models and modern quantile autoregressive models. They…

Methodology · Statistics 2025-12-29 Silvia Novo , César Sánchez-Sellero

Improvement of time series forecasting accuracy through combining multiple models is an important as well as a dynamic area of research. As a result, various forecasts combination methods have been developed in literature. However, most of…

Artificial Intelligence · Computer Science 2013-02-28 Ratnadip Adhikari , R. K. Agrawal

In this paper, a stochastic model with regime switching is developed for solar photo-voltaic (PV) power in order to provide short-term probabilistic forecasts. The proposed model for solar PV power is physics inspired and explicitly…

Applications · Statistics 2017-09-19 Raksha Ramakrishna , Anna Scaglione , Vijay Vittal