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Physics-Informed Learning with Bayesian Parameter Inversion for Robust Residential Energy and Environmental Optimization

Liu Z

2026

Abstract

Accurate coordination of building energy consumption and indoor environmental quality requires models that can represent coupled physical processes, time-varying operating parameters, and uncertainty in performance optimization. Here, a physics-informed learning framework is developed to integrate differentiable multi-physics modeling, Bayesian parameter inversion, uncertainty propagation, and robust multi-objective optimization for residential energy and environmental performance. A physics-informed neural network couples temperature, humidity, and carbon dioxide dynamics while jointly performing forward prediction and inverse identification. Time-varying infiltration, internal heat sources, and occupant-related source terms are subsequently identified using a hybrid unscented Kalman and particle filtering scheme. Posterior parameter and occupant-preference distributions are propagated into an expectation–conditional-value-at-risk robust optimization framework to coordinate energy consumption, thermal comfort, and indoor air quality. The framework is validated using 122 days of multimodal measurements from a residential building and blind tests across four climate zones. Relative to a long short-term memory baseline, prediction accuracy for temperature, humidity, carbon dioxide, and energy consumption improves by 15.1–19.5%, while time-varying parameter identification improves by 13.8–26.3 percentage points compared with static calibration. Robust optimization increases the…

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