Interpretable Physics-Informed Neural Networks for energy consumption prediction using IoT sensors

Inefficient energy use in households contributes to higher domestic cost, underscores the need for effective management and predictive maintenance. Conventional forecasting techniques often lack real-time performance and accuracy that limit their practical utility. Our study introduces a novel IoT based framework that integrates machine learning (ML) and Physics Informed Neural Networks (PINNs) and explainable artificial intelligence (XAI) to enhance energy consumption prediction and interpretability. We evaluated our approach against 18 different models. The proposed PINNs model achieved an R-Square of 0.9972, with a Mean Absolute Error (MAE) of 0.07 and Root Mean Square (RMSE) of 0.03. These results outperform traditional machine learning and deep learning models, which typically range between R-Square of 0.89 to 0.94. The system leverages non-invasive IoT sensors for data collection which further processed via a Flask-based web sever and mobile app. Moreover, we used XAI tools (SHAP, LIME) to explain our model’s predictions by showing the contribution of each feature. The final deployment on web and mobile platforms ensures user accessibility, engagement and secure remote access through ngrok. Our research demonstrates PINNs’ effectiveness in delivering accurate, interpretable predictions and supporting sustainable smart energy management for residential settings.

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Publication Details

Journal
Array
Published
2025-10-28
DOI
https://doi.org/10.1016/j.array.2025.100552
Primary Topic
Energy Load and Power Forecasting
Type
article
Field-Weighted Citation Impact
0.00
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Interpretable Physics-Informed Neural Networks for energy consumption prediction using IoT sensors

Samsuddin Ahmed, S. Zayd Enam, Atiqur Rahman, Md. Toukir Ahmed et al.
Array
Energy Load and Power Forecasting
article

Interpretable Physics-Informed Neural Networks for energy consumption prediction using IoT sensors

Samsuddin Ahmed, S. Zayd Enam, Atiqur Rahman, Md. Toukir Ahmed, Sadia Hossain
article en

Abstract

Inefficient energy use in households contributes to higher domestic cost, underscores the need for effective management and predictive maintenance. Conventional forecasting techniques often lack real-time performance and accuracy that limit their practical utility. Our study introduces a novel IoT based framework that integrates machine learning (ML) and Physics Informed Neural Networks (PINNs) and explainable artificial intelligence (XAI) to enhance energy consumption prediction and interpretability. We evaluated our approach against 18 different models. The proposed PINNs model achieved an R-Square of 0.9972, with a Mean Absolute Error (MAE) of 0.07 and Root Mean Square (RMSE) of 0.03. These results outperform traditional machine learning and deep learning models, which typically range between R-Square of 0.89 to 0.94. The system leverages non-invasive IoT sensors for data collection which further processed via a Flask-based web sever and mobile app. Moreover, we used XAI tools (SHAP, LIME) to explain our model’s predictions by showing the contribution of each feature. The final deployment on web and mobile platforms ensures user accessibility, engagement and secure remote access through ngrok. Our research demonstrates PINNs’ effectiveness in delivering accurate, interpretable predictions and supporting sustainable smart energy management for residential settings.

ArrayVol. 28
Bangladesh University of Engineering and Technology (BD)
Openalex Percentile: Top 69%
Energy Load and Power Forecasting
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Interpretable Physics-Informed Neural Networks for energy consumption prediction using IoT sensors — Samsuddin Ahmed, S. Zayd Enam, et al. · Array (2025) | TGRS Research Map | TGRS