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We propose an extension of the non-homogeneous Gaussian regression (NGR) model by Gneiting et al. (2005) that yields locally calibrated probabilistic forecasts of tem- perature, based on the output of an ensemble prediction system (EPS).…

Applications · Statistics 2014-04-29 Michael Scheuerer , Luca Büermann

The reliable estimation of forecast uncertainties is crucial for risk-sensitive optimal decision making. In this paper, we propose implicit generative ensemble post-processing, a novel framework for multivariate probabilistic electricity…

Applications · Statistics 2020-11-16 Tim Janke , Florian Steinke

The projection pursuit regression (PPR) has played an important role in the development of statistics and machine learning. However, when compared to other established methods like random forests (RF) and support vector machines (SVM), PPR…

Statistics Theory · Mathematics 2023-05-19 Haoran Zhan , Mingke Zhang , Yingcun Xia

Forecasting electricity demand plays a critical role in ensuring reliable and cost-efficient operation of the electricity supply. With the global transition to distributed renewable energy sources and the electrification of heating and…

Machine Learning · Computer Science 2023-05-31 Konstantin Hopf , Hannah Hartstang , Thorsten Staake

Feed-forward neural networks (NN) are a staple machine learning method widely used in many areas of science and technology. While even a single-hidden layer NN is a universal approximator, its expressive power is limited by the use of…

Machine Learning · Statistics 2023-09-28 Sergei Manzhos , Manabu Ihara

We design a Gaussian Process (GP) spatiotemporal model to capture features of day-ahead wind power forecasts. We work with hourly-scale day-ahead forecasts across hundreds of wind farm locations, with the main aim of constructing a fully…

Machine Learning · Computer Science 2024-09-26 Qiqi Li , Mike Ludkovski

Pareto Front (PF) modeling is essential in decision making problems across all domains such as economics, medicine or engineering. In Operation Research literature, this task has been addressed based on multi-objective optimization…

Machine Learning · Computer Science 2020-01-22 Zhengqi Gao , Jun Tao , Yangfeng Su , Dian Zhou , Xuan Zeng

Precise day-ahead forecasts for electricity prices are crucial to ensure efficient portfolio management, support strategic decision-making for power plant operations, enable efficient battery storage optimization, and facilitate demand…

Machine Learning · Computer Science 2026-03-31 Btissame El Mahtout , Florian Ziel

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…

Risk Management · Quantitative Finance 2019-04-04 Daniel Poh , Stephen Roberts , Martin Tegnér

Wireless traffic prediction is a fundamental enabler to proactive network optimisation in beyond 5G. Forecasting extreme demand spikes and troughs due to traffic mobility is essential to avoiding outages and improving energy efficiency.…

Signal Processing · Electrical Eng. & Systems 2019-11-04 Chengyao Sun , Weisi Guo

This tutorial aims to provide an intuitive introduction to Gaussian process regression (GPR). GPR models have been widely used in machine learning applications due to their representation flexibility and inherent capability to quantify…

Machine Learning · Statistics 2024-01-30 Jie Wang

In this paper we formulate an optimization approach to schedule electrical loads given a short term prediction of time-varying power production and the ability to store only a limited amount of electrical energy. The proposed approach is…

Optimization and Control · Mathematics 2016-11-15 Raymond A. de Callafon , Abdulelah H. Habib , Jan Kleissl

Quantum computing technology has the potential to revolutionize the simulation of materials and molecules in the near future. A primary challenge in achieving near-term quantum advantage is effectively mitigating the noise effects inherent…

Quantum Physics · Physics 2024-01-17 Tao Jiang , John Rogers , Marius S. Frank , Ove Christiansen , Yong-Xin Yao , Nicola Lanatà

Power system state estimation (PSSE) is commonly formulated as weighted least-square (WLS) algorithm and solved using iterative methods such as Gauss-Newton methods. However, iterative methods have become more sensitive to system operating…

Systems and Control · Electrical Eng. & Systems 2021-01-12 Narayan Bhusal , Raj Mani Shukla , Mukesh Gautam , Mohammed Benidris , Shamik Sengupta

We propose a hybrid approach for the modelling and the short-term forecasting of electricity loads. Two building blocks of our approach are (i) modelling the overall trend and seasonality by fitting a generalised additive model to the…

Methodology · Statistics 2016-11-29 Haeran Cho , Yannig Goude , Xavier Brossat , Qiwei Yao

Almost all scientific data have uncertainties originating from different sources. Gaussian process regression (GPR) models are a natural way to model data with Gaussian-distributed uncertainties. GPR also has the benefit of reducing I/O…

Machine Learning · Statistics 2025-12-16 Haoyu Li , Isaac J Michaud , Ayan Biswas , Han-Wei Shen

Forecasting the actual amount of electricity with respect to the need/demand of the load is always been a challenging task for each power plants based generating stations. Due to uncertain demand of electricity at receiving end of station…

Machine Learning · Computer Science 2020-10-27 Jaymin Suhagiya , Deep Raval , Siddhi Vinayak Pandey , Jeet Patel , Ayushi Gupta , Akshay Srivastava

We introduce a novel adaptive Gaussian Process Regression (GPR) methodology for efficient construction of surrogate models for Bayesian inverse problems with expensive forward model evaluations. An adaptive design strategy focuses on…

Numerical Analysis · Mathematics 2024-05-01 Paolo Villani , Jörg Unger , Martin Weiser

This paper proposes a grid-aware scheduling and control framework for Electric Vehicle Charging Stations (EVCSs) for dispatching the operation of an active power distribution network. The framework consists of two stages. In the first…

Systems and Control · Electrical Eng. & Systems 2024-04-22 Rahul K. Gupta , Sherif Fahmy , Max Chevron , Riccardo Vasapollo , Enea Figini , Mario Paolone

Resonances in open quantum systems depending on at least two controllable parameters can show the phenomenon of exceptional points (EPs), where not only the eigenvalues but also the eigenvectors of two or more resonances coalesce. Their…

Quantum Physics · Physics 2024-03-14 Patrick Egenlauf , Patric Rommel , Jörg Main