Heart rate variability (HRV) analysis is important for the assessment of autonomic cardiovascular regulation. The inverse Gaussian process (IGP) has been widely used for beat-to-beat HRV modeling, as it gives a physiological relevant interpretation of heart depolarization process. A key challenge in IGP-based heartbeat modeling is the accurate estimation of time-varying parameters. In this study, we investigated whether recurrent neural networks (RNNs) can be used for IGP parameter identification and thereby enhance probabilistic modeling of R-R dynamics. Specifically, four representative RNN architectures, namely, GRU, LSTM, Structured State Space sequence model (S4), and Mamba, were evaluated using the Kolmogorov-Smirnov statistics. The results demonstrate the possibility of combining neural sequence models with the IGP framework for beat-wise R-R series modeling. This approach provides a flexible basis for probabilistic HRV modeling and for future incorporation of more complex physiological mechanisms and dynamic conditions.
@article{arxiv.2604.13815,
title = {Dynamic Heartbeat Modeling with Recurrent Neural Networks and Inverse Gaussian Point Process},
author = {Runwei Lin and Ying Wang},
journal= {arXiv preprint arXiv:2604.13815},
year = {2026}
}