PHYSICS-REGULARIZED DEEP LEARNING FOR INTER-FLOOR NOISE PREDICTION IN MULTI-FAMILY RESIDENTIAL BUILDINGS
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Inter-floor noise in multi-family residential buildings represents a persistent structural-acoustic problem, particularly in densely populated urban environments. Excessive impact noise transmission not only contributes to occupant discomfort and health deterioration but also triggers legal disputes and regulatory challenges. Traditional acoustic prediction methods often rely on simplified empirical equations, while purely data-driven deep learning models lack physical interpretability and engineering reliability. Notably, prior studies have reported that 34–71% of predictions from conventional AI models violate fundamental acoustic laws. To address these shortcomings, this study proposes a physics-regularized multi-modal deep learning framework that integrates structural mechanics and acoustic principles into predictive modeling.
Structural-Acoustic Theoretical Foundations
The framework embeds governing physical principles of sound transmission in concrete floor systems directly into the learning process. Core mechanisms such as the Mass Law and the Coincidence Effect, derived from Kirchhoff–Love plate theory, are incorporated as differentiable constraints within the loss function. By enforcing these acoustic laws during optimization, the model ensures that predicted sound pressure levels remain consistent with structural vibration mechanics. This physics-informed strategy enhances interpretability and prevents non-physical prediction behavior commonly observed in black-box neural networks.
Multi-Modal Hybrid CNN–LSTM Architecture
A hybrid convolutional neural network (CNN) and long short-term memory (LSTM) architecture was developed to process multi-modal inputs. Structural parameters—including slab thickness, material properties, and span dimensions—are combined with acoustic spectrogram data representing frequency-domain characteristics of impact noise. The CNN component extracts spatial-frequency features from spectrograms, while the LSTM captures temporal dependencies and sequence behavior. This integration allows the model to simultaneously account for structural configuration and acoustic signal dynamics, improving predictive robustness across diverse building types.
Dataset and Cross-Validation Strategy
The proposed framework was validated using field measurements from 203 Korean multi-family residential buildings. To ensure generalization to unseen structural configurations, a Leave-One-Building-Out (LOBO) cross-validation scheme was adopted. This approach rigorously tests the model’s adaptability by training on all buildings except one and evaluating performance on the excluded structure. Such validation strengthens the reliability of results and demonstrates applicability across varying floor systems and construction conditions.
Prediction Accuracy and Physics Compliance
The physics-regularized model achieved prediction errors of 3.95 dB for light impact noise and 1.15 dB for heavy impact noise, representing approximately 10% improvement over baseline deep learning models. More importantly, physics violation rates were dramatically reduced from 71% to 1.8%, ensuring predictions adhere to structural mechanics and acoustic transmission principles. This substantial reduction confirms that embedding physical constraints effectively bridges the gap between predictive accuracy and engineering validity.
Regulatory Compliance and Engineering Implications
Beyond prediction accuracy, the model demonstrated 89.4% accuracy in forecasting compliance with the 58 dB Korean Building Code standard for inter-floor noise. This capability enables performance-based acoustic evaluation during early design stages, supporting proactive structural optimization and construction quality management. By uniting artificial intelligence with physically grounded constraints, the proposed framework establishes a new benchmark for reliable acoustic prediction in civil engineering, promoting safer, quieter, and regulation-compliant residential infrastructure.
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