Predictive Uncertainty in Short-Term PV Forecasting under Missing Data: A Multiple Imputation Approach

📅 2026-03-16
📈 Citations: 0
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🤖 AI Summary
This work proposes a model-agnostic framework that systematically incorporates uncertainty from missing values in photovoltaic (PV) power data into data-driven short-term forecasting. By leveraging stochastic multiple imputation combined with Rubin’s rules, the approach explicitly models and propagates missing-data uncertainty into the predictive distribution—a critical aspect often overlooked in existing methods. The framework effectively mitigates the overconfidence commonly observed in prediction intervals that fail to account for such uncertainty, thereby yielding substantially better-calibrated interval forecasts. Notably, this improvement in calibration is achieved without compromising the accuracy of point predictions, demonstrating a robust balance between reliability and precision in PV forecasting under incomplete data conditions.

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📝 Abstract
Missing values are common in photovoltaic (PV) power data, yet the uncertainty they induce is not propagated into predictive distributions. We develop a framework that incorporates missing-data uncertainty into short-term PV forecasting by combining stochastic multiple imputation with Rubin's rule. The approach is model-agnostic and can be integrated with standard machine-learning predictors. Empirical results show that ignoring missing-data uncertainty leads to overly narrow prediction intervals. Accounting for this uncertainty improves interval calibration while maintaining comparable point prediction accuracy. These results demonstrate the importance of propagating imputation uncertainty in data-driven PV forecasting.
Problem

Research questions and friction points this paper is trying to address.

predictive uncertainty
missing data
PV forecasting
prediction intervals
imputation uncertainty
Innovation

Methods, ideas, or system contributions that make the work stand out.

multiple imputation
predictive uncertainty
PV forecasting
missing data
interval calibration
P
Parastoo Pashmchi
SAP Labs France, Mougins, France
J
Jérôme Benoit
SAP Labs France, Mougins, France
Motonobu Kanagawa
Motonobu Kanagawa
EURECOM
statisticsmachine learningapplied mathematicssimulationprobabilistic numerics