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Prediction intervals for global solar irradiation forecasting using regression trees methods

Authors: Voyant, Cyril; Motte, Fabrice; Notton, Gilles; Fouilloy, Alexis; Nivet, Marie-Laure; Duchaud, Jean-Laurent;

Prediction intervals for global solar irradiation forecasting using regression trees methods

Abstract

Abstract A global horizontal irradiation prediction (from 1 h to 6 h) is performed using 2 persistence models (simple and “smart” ones) and 4 machine learning tools belonging to the regression trees methods family (normal, pruned, boosted and bagged). A prediction band is associated to each forecast using methodologies based on: bootstrap sampling and k-fold approach, mutual information, stationary time series process with clear sky model, quantiles estimation and cumulative distribution function. New reliability indexes (gamma index and gamma test) are built from the mean interval length (MIL) and prediction interval coverage probability (PCIP). With such methods and error metrics, good prediction bands are estimated for Ajaccio (France) with a MIL close to 113 Wh/m2, a PCIP reaching 70% and a gamma index lower than 0.9.

Country
France
Keywords

[ INFO.INFO-IR ] Computer Science [cs]/Information Retrieval [cs.IR], boosting, [SDE.IE]Environmental Sciences/Environmental Engineering, pruning, prediction interval coverage probability, bagging, [ SDE.IE ] Environmental Sciences/Environmental Engineering, [INFO.INFO-AI]Computer Science [cs]/Artificial Intelligence [cs.AI], probabilistic forecasts, [INFO.INFO-IR]Computer Science [cs]/Information Retrieval [cs.IR], [ INFO.INFO-AI ] Computer Science [cs]/Artificial Intelligence [cs.AI], mean interval length

  • BIP!
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    citations
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    44
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Top 10%
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
44
Top 10%
Top 10%
Top 10%
Green
bronze