ML: Geometry

Machine-learning ideas tagged Geometry in the ML taxonomy of the Math2NN corpus.

△ Mechanism confirmed, baseline not beaten 2026

Horizontal oblique reflection for constrained diffusion

Modify a diffusion or score-based sampler so that boundary reflection is aligned with the model's admissible noise and control directions instead of using the Euclidean normal. At a boundary hit, reflect through the sub-Riemannian diffusion Gram matrix, preserving the anisotropic dynamics and preventing constraint corrections from injecting motion into inaccessible directions.

Useful8/10
Difficulty4/10
Novelty7/10
Paper: Reflected Schrodinger Bridge Problem over Sub-Riemannian Manifold arXiv:2607.17904