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We develop a new methodology for forecasting matrix-valued time series with historical matrix data and auxiliary vector time series data. We focus on a time series of matrices defined on a static 2-D spatial grid and an auxiliary time…

Methodology · Statistics 2025-09-25 Hu Sun , Zuofeng Shang , Yang Chen

Modeling wind speed is one of the key element when dealing with the production of energy through wind turbines. A good model can be used for forecasting, site evaluation, turbines design and many other purposes. In this work we are…

Data Analysis, Statistics and Probability · Physics 2015-02-12 G. D'Amico , F. Petroni , F. Prattico

The future energy system will largely depend on volatile renewable energy sources and temperature-dependent loads, which makes the weather a central influencing factor. This article presents a novel approach for simulating weather scenarios…

Systems and Control · Electrical Eng. & Systems 2024-05-31 Jan Peper , David Kröger , Jonathan Kipp , Florian Ziel , Christian Rehtanz

Electricity price forecasting is a critical tool for the efficient operation of power systems and for supporting informed decision-making by market participants. This paper explores a novel methodology aimed at improving the accuracy of…

Applications · Statistics 2025-01-13 Bartosz Uniejewski , Florian Ziel

The R package BigVAR allows for the simultaneous estimation of high-dimensional time series by applying structured penalties to the conventional vector autoregression (VAR) and vector autoregression with exogenous variables (VARX)…

Computation · Statistics 2017-02-24 William Nicholson , David Matteson , Jacob Bien

This paper presents an academia-industry joint case study, which was conducted to quantify and compare multi-year changes in power production performance of multiple turbines scattered over a mid-size wind farm. This analysis is referred to…

Applications · Statistics 2021-03-22 Yu Ding , Nitesh Kumar , Abhinav Prakash , Adaiyibo E. Kio , Xin Liu , Lei Liu , Qingchang Li

The rapid growth of the wind energy sector underscores the urgent need to optimize turbine operations and ensure effective maintenance through early fault detection systems. While traditional empirical and physics-based models offer…

Macroeconomists using large datasets often face the choice of working with either a large Vector Autoregression (VAR) or a factor model. In this paper, we develop methods for combining the two using a subspace shrinkage prior. Subspace…

Econometrics · Economics 2021-07-19 Florian Huber , Gary Koop

Accurate and reliable prediction of Photovoltaic (PV) power output is critical to electricity grid stability and power dispatching capabilities. However, Photovoltaic (PV) power generation is highly volatile and unstable due to different…

Machine Learning · Computer Science 2022-10-04 Sarah Almaghrabi , Mashud Rana , Margaret Hamilton , Mohammad Saiedur Rahaman

Linearly constrained multiple time series may be encountered in many practical contexts, such as the National Accounts (e.g., GDP disaggregated by Income, Expenditure and Output), and multilevel frameworks where the variables are organized…

Methodology · Statistics 2024-12-05 Daniele Girolimetto , Tommaso Di Fonzo

Accurate forecasting is important for cost-effective and efficient monitoring and control of the renewable energy based power generation. Wind based power is one of the most difficult energy to predict accurately, due to the widely varying…

Computational Engineering, Finance, and Science · Computer Science 2016-11-17 Adnan Anwar , Abdun Naser Mahmood

VAR models are a type of multi-equation model that have been widely applied in econometrics. With the arrival of Big Data, huge amounts of data are being collected in numerous fields, making feasible the application of these kind of…

Other Computer Science · Computer Science 2017-12-01 Alfonso L. Castaño , Javier Cuenca , Domingo Giménez , Jose J. López-Espín , Alberto Pérez-Bernabeu

Accurate wind power forecasting can help formulate scientific dispatch plans, which is of great significance for maintaining the safety, stability, and efficient operation of the power system. In recent years, wind power forecasting methods…

Machine Learning · Computer Science 2025-05-05 Yajuan Zhang , Jiahai Jiang , Yule Yan , Liang Yang , Ping Zhang

Accurate and reliable forecasting of photovoltaic (PV) power generation is crucial for grid operations, electricity markets, and energy planning, as solar systems now contribute a significant share of the electricity supply in many…

Applications · Statistics 2025-08-22 Martin János Mayer , Ágnes Baran , Sebastian Lerch , Nina Horat , Dazhi Yang , Sándor Baran

The integration of renewable resources has increased in power generation as a means to reduce the fossil fuel usage and mitigate its adverse effects on the environment. However, renewables like solar energy are stochastic in nature due to…

Wind integration in power grids is very difficult, essentially because of the uncertain nature of wind speed. Forecasting errors on output from wind turbines may have costly consequences. For instance, power might be bought at highest price…

Optimization and Control · Mathematics 2016-04-28 Luckny Zéphyr , C. Lindsay Anderson

We study the applicability of GNNs to the problem of wind energy forecasting. We find that certain architectures achieve performance comparable to our best CNN-based benchmark. The study is conducted on three wind power facilities using…

Machine Learning · Computer Science 2025-07-02 Javier Castellano , Ignacio Villanueva

We consider multi-task regression models where the observations are assumed to be a linear combination of several latent node functions and weight functions, which are both drawn from Gaussian process priors. Driven by the problem of…

Machine Learning · Statistics 2018-12-05 Astrid Dahl , Edwin V. Bonilla

Conventional wisdom suggests that autoregressive models are used to process discrete data. When applied to continuous modalities such as visual data, Visual AutoRegressive modeling (VAR) typically resorts to quantization-based approaches to…

Computer Vision and Pattern Recognition · Computer Science 2025-05-13 Chenze Shao , Fandong Meng , Jie Zhou

High-dimensional vector autoregressive (VAR) models are important tools for the analysis of multivariate time series. This paper focuses on high-dimensional time series and on the different regularized estimation procedures proposed for…

Machine Learning · Statistics 2020-06-11 Jonas Krampe , Efstathios Paparoditis