Stiefel Manifold Dynamical Systems for Tracking Representational Drift
This paper introduces the Stiefel Manifold Dynamical System (SMDS), a novel model that constrains emission matrices to evolve smoothly on the Stiefel manifold to effectively capture representational drift in neural data, outperforming traditional Linear Dynamical Systems in accuracy and dimensionality efficiency while providing new insights into the temporal dynamics of neural representations.