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Gaussian Processes (GPs) are Bayesian models that provide uncertainty estimates associated to the predictions made. They are also very flexible due to their non-parametric nature. Nevertheless, GPs suffer from poor scalability as the number…

机器学习 · 计算机科学 2021-07-16 Bahram Jafrasteh , Carlos Villacampa-Calvo , Daniel Hernández-Lobato

Energy forecasting has a vital role to play in smart grid (SG) systems involving various applications such as demand-side management, load shedding, and optimum dispatch. Managing efficient forecasting while ensuring the least possible…

机器学习 · 计算机科学 2022-05-25 Devinder Kaur , Shama Naz Islam , Md. Apel Mahmud , Md. Enamul Haque , ZhaoYang Dong

Sustainability requires increased energy efficiency with minimal waste. The future power systems should thus provide high levels of flexibility iin controling energy consumption. Precise projections of future energy demand/load at the…

机器学习 · 计算机科学 2022-10-14 Lyes Saad Saoud , Hasan AlMarzouqi , Ramy Hussein

Gaussian processes (GP) are Bayesian non-parametric models that are widely used for probabilistic regression. Unfortunately, it cannot scale well with large data nor perform real-time predictions due to its cubic time cost in the data size.…

机器学习 · 计算机科学 2014-08-12 Jie Chen , Nannan Cao , Kian Hsiang Low , Ruofei Ouyang , Colin Keng-Yan Tan , Patrick Jaillet

Gaussian processes (GP) are Bayesian non-parametric models that are widely used for probabilistic regression. Unfortunately, it cannot scale well with large data nor perform real-time predictions due to its cubic time cost in the data size.…

机器学习 · 统计学 2013-05-27 Jie Chen , Nannan Cao , Kian Hsiang Low , Ruofei Ouyang , Colin Keng-Yan Tan , Patrick Jaillet

Photovoltaic (PV) power is affected by weather conditions, making the power generated from the PV systems uncertain. Solving this problem would help improve the reliability and cost effectiveness of the grid, and could help reduce reliance…

机器学习 · 计算机科学 2020-10-07 Yahya Al Lawati , Jack Kelly , Dan Stowell

Gaussian processes (GPs) are widely used in nonparametric regression, classification and spatio-temporal modeling, motivated in part by a rich literature on theoretical properties. However, a well known drawback of GPs that limits their use…

统计方法学 · 统计学 2011-06-29 Anjishnu Banerjee , David Dunson , Surya Tokdar

Generative probabilistic forecasting produces future time series samples according to the conditional probability distribution given past time series observations. Such techniques are essential in risk-based decision-making and planning…

机器学习 · 计算机科学 2024-02-22 Xinyi Wang , Lang Tong , Qing Zhao

In this paper, we explore the application of Gaussian Processes (GPs) for predicting mean-reverting time series with an underlying structure, using relatively unexplored functional and augmented data structures. While many conventional…

统计金融 · 定量金融 2024-03-05 Narayan Tondapu

We develop Bayesian machine learning methods for mixed data sampling (MIDAS) regressions. This involves handling frequency mismatches and specifying functional relationships between many predictors and the dependent variable. We use…

计量经济学 · 经济学 2024-09-11 Niko Hauzenberger , Massimiliano Marcellino , Michael Pfarrhofer , Anna Stelzer

The non-storability of electricity makes it unique among commodity assets, and it is an important driver of its price behaviour in secondary financial markets. The instantaneous and continuous matching of power supply with demand is a key…

风险管理 · 定量金融 2019-04-04 Daniel Poh , Stephen Roberts , Martin Tegnér

With the development of modern information technology (IT), a smart grid has become one of the major components of smart cities. To take full advantage of the smart grid, the capability of intelligent scheduling and planning of electricity…

信号处理 · 电气工程与系统科学 2019-03-01 Hao Song , Yu Chen , Ning Zhou , Genshe Chen

Forecasting natural gas consumption, considering seasonality and trends, is crucial in planning its supply and consumption and optimizing the cost of obtaining it, mainly by industrial entities. However, in times of threats to its supply,…

机器学习 · 计算机科学 2024-08-13 Radek Svoboda , Sebastian Basterrech , Jedrzej Kozal , Jan Platos , Michal Wozniak

Rapid developments in streaming data technologies have enabled real-time monitoring of human activity that can deliver high-resolution data on health variables over trajectories or paths carved out by subjects as they conduct their daily…

统计方法学 · 统计学 2024-09-11 Tomoya Wakayama , Sudipto Banerjee

Gaussian Processes (GPs) have been widely used in machine learning to model distributions over functions, with applications including multi-modal regression, time-series prediction, and few-shot learning. GPs are particularly useful in the…

Accurate electricity demand forecasting is essential for several reasons, especially as the integration of renewable energy sources and the transition to a decentralized network paradigm introduce greater complexity and uncertainty. The…

机器学习 · 计算机科学 2026-05-12 Eloi Campagne , Yvenn Amara-Ouali , Yannig Goude , Argyris Kalogeratos

Derivatives are a key nonparametric functional in wide-ranging applications where the rate of change of an unknown function is of interest. In the Bayesian paradigm, Gaussian processes (GPs) are routinely used as a flexible prior for…

统计理论 · 数学 2025-12-30 Zejian Liu , Meng Li

As a non-parametric Bayesian model which produces informative predictive distribution, Gaussian process (GP) has been widely used in various fields, like regression, classification and optimization. The cubic complexity of standard GP…

机器学习 · 统计学 2018-11-06 Haitao Liu , Jianfei Cai , Yew-Soon Ong , Yi Wang

This paper presents a new approach to predict the occupancy for building energy systems (BES). A Gaussian Process (GP) is used to model the occupancy and is represented as a state space model that is equivalent to the full GP if Kalman…

系统与控制 · 电气工程与系统科学 2024-02-07 Thore Wietzke , Jan Gall , Knut Graichen

Gaussian process is a theoretically appealing model for nonparametric analysis, but its computational cumbersomeness hinders its use in large scale and the existing reduced-rank solutions are usually heuristic. In this work, we propose a…

机器学习 · 统计学 2015-11-25 Leo L. Duan , Xia Wang , Rhonda D. Szczesniak