Solves: Training dynamics

Machine-learning ideas tagged Training dynamics in the Solves taxonomy of the Math2NN corpus.

Unverified 2026

Artificial-Compressibility Divergence Feedback

Add a pressure-like recurrent state to a neural surface-flow decoder and update it from the predicted local divergence, creating a learned or fixed feedback loop that drives vector outputs toward local incompressibility. Unlike a static divergence penalty, the state can accumulate constraint violations and produce corrective tangent gradients at each refinement step.

Useful6/10
Difficulty5/10
Novelty6/10
Paper: Solving the Incompressible Navier-Stokes Equations on Oriented Curved Surfaces Discretized by Point Clouds arXiv:2609.00216