Tube Loss based Deep Networks For Improving the Probabilistic Forecasting of Wind Speed

Fuente: arXiv
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Main Authors: Anand, Pritam, Minz, Aadesh, Joel, Asish
Format: Preprint
Published: 2025
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author Anand, Pritam
Minz, Aadesh
Joel, Asish
author_facet Anand, Pritam
Minz, Aadesh
Joel, Asish
contents Uncertainty Quantification (UQ) in wind speed forecasting is a critical challenge in wind power production due to the inherently volatile nature of wind. By quantifying the associated risks and returns, UQ supports more effective decision-making for grid operations and participation in the electricity market. In this paper, we design a sequence of deep learning based probabilistic forecasting methods by using the Tube loss function for wind speed forecasting. The Tube loss function is a simple and model agnostic Prediction Interval (PI) estimation approach and can obtain the narrow PI with asymptotical coverage guarantees without any distribution assumption. Our deep probabilistic forecasting models effectively incorporate popular architectures such as LSTM, GRU, and TCN within the Tube loss framework. We further design a simple yet effective heuristic for tuning the $δ$ parameter of the Tube loss function so that our deep forecasting models obtain the narrower PI without compromising its calibration ability. We have considered three wind datasets, containing the hourly recording of the wind speed, collected from three distinct location namely Jaisalmer, Los Angeles and San Fransico. Our numerical results demonstrate that the proposed deep forecasting models produce more reliable and narrower PIs compared to recently developed probabilistic wind forecasting methods.
format Preprint
id arxiv_https___arxiv_org_abs_2505_18284
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Tube Loss based Deep Networks For Improving the Probabilistic Forecasting of Wind Speed
Anand, Pritam
Minz, Aadesh
Joel, Asish
Machine Learning
Artificial Intelligence
Uncertainty Quantification (UQ) in wind speed forecasting is a critical challenge in wind power production due to the inherently volatile nature of wind. By quantifying the associated risks and returns, UQ supports more effective decision-making for grid operations and participation in the electricity market. In this paper, we design a sequence of deep learning based probabilistic forecasting methods by using the Tube loss function for wind speed forecasting. The Tube loss function is a simple and model agnostic Prediction Interval (PI) estimation approach and can obtain the narrow PI with asymptotical coverage guarantees without any distribution assumption. Our deep probabilistic forecasting models effectively incorporate popular architectures such as LSTM, GRU, and TCN within the Tube loss framework. We further design a simple yet effective heuristic for tuning the $δ$ parameter of the Tube loss function so that our deep forecasting models obtain the narrower PI without compromising its calibration ability. We have considered three wind datasets, containing the hourly recording of the wind speed, collected from three distinct location namely Jaisalmer, Los Angeles and San Fransico. Our numerical results demonstrate that the proposed deep forecasting models produce more reliable and narrower PIs compared to recently developed probabilistic wind forecasting methods.
title Tube Loss based Deep Networks For Improving the Probabilistic Forecasting of Wind Speed
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2505.18284