Extended LSTM (xLSTM), furnace, Hottel zone method, Kolmogorov-arnold networks (KANs), long short-term memory (LSTM), multi-layer perceptrons (MLP), Electrical engineering. Electronics. Nuclear engineering, TK1-9971

This paper investigates a novel approach to improve the temperature profile prediction of furnaces in foundation industries, crucial for sustainable manufacturing. While existing methods like the Hottel Zone model are accurate, they lack real-time inference capabilities. Deep learning methods excel in speed and prediction but require careful generalization for real-world applications. We propose a regularization technique that leverages the Hottel Zone method to make deep neural networks physics-aware, improving prediction accuracy for furnace temperature profiles. Our approach demonstrates effectiveness on various neural network architectures, including Multi-Layer Perceptrons (MLP), Long Short-Term Memory (LSTM), Extended LSTM (xLSTM) and Kolmogorov-Arnold Networks (KANs). We also discussion the data generation involved.