Accurately estimating the phase of oscillatory systems is essential for analyzing cyclic activities such as repetitive gestures in human motion. In this work we introduce a learning-based approach for online phase estimation in three-dimensional motion trajectories, using a Long Short- Term Memory (LSTM) network. A calibration procedure is applied to standardize trajectory position and orientation, ensuring invariance to spatial variations. The proposed model is evaluated on motion capture data and further tested in a dynamical system, where the estimated phase is used as input to a reinforcement learning (RL)-based control to assess its impact on the synchronization of a network of Kuramoto oscillators.
@article{arxiv.2505.02668,
title = {Online Phase Estimation of Human Oscillatory Motions using Deep Learning},
author = {Antonio Grotta and Francesco De Lellis},
journal= {arXiv preprint arXiv:2505.02668},
year = {2025}
}