Journal
Featured
Xinyue Xu, Julian Wang
Forecasting, 7(1), 9, 2025.
DOI: 10.3390/forecast7010009
We introduce Physics-Guided Bayesian Neural Networks (PG-BNNs), which embed first-principles constraints — including thermal dynamics equations and energy conservation laws — directly into the prior distributions of Bayesian neural networks through physics-informed regularization and structured prior construction. Evaluated on building thermal response prediction tasks, PG-BNNs produce significantly better-calibrated uncertainty estimates than standard BNNs, maintain physical plausibility under distribution shift, and improve predictive accuracy in data-scarce regimes by 15–27% over purely data-driven baselines. The approach enables reliable confidence bounds for model predictive control and fault diagnostics in building energy systems.
Systematic Review
Featured
Xinyue Xu, Julian Wang
Renewable and Sustainable Energy Reviews, vol. 218, 115817, 2025.
DOI: 10.1016/j.rser.2025.115817
A comprehensive systematic review of 150+ papers (2015–2024) on uncertainty quantification (UQ) methods applied to machine learning-based building energy models. We survey Bayesian approaches (BNNs, GPs, variational inference), frequentist ensembles, conformal prediction, Monte Carlo dropout, and hybrid physics-data methods. The review establishes a taxonomy of uncertainty sources (aleatory vs. epistemic, input uncertainty, model structural uncertainty, and parameter uncertainty), synthesizes evaluation standards across studies, and identifies critical gaps: lack of calibration reporting, insufficient treatment of distribution shift, and rare application to control-oriented models. We propose a standardized UQ evaluation framework and identify high-priority research directions including integration with digital twins and equitable deployment under data scarcity.