We present a latent-space formulation of adaptive temporal lifting for continuous-time dynamical systems. The method introduces a smooth monotone mapping t↦τ(t) that regularizes near-singular behavior of the underlying flow while preserving its conservation laws. In the lifted coordinate, trajectories such as those of the incompressible Navier-Stokes equations on the torus T3 become globally smooth. From the standpoint of machine-learning dynamics, temporal lifting acts as a continuous-time normalization operator that can stabilize physics-informed neural networks and other latent-flow architectures used in AI systems. The framework links analytic regularity theory with representation-learning methods for stiff or turbulent processes.
@article{arxiv.2510.09805,
title = {Temporal Lifting as Latent-Space Regularization for Continuous-Time Flow Models in AI Systems},
author = {Jeffrey Camlin},
journal= {arXiv preprint arXiv:2510.09805},
year = {2026}
}