SheafStain: Sheaf-Theoretic Schr"odinger Bridge for Spatially and Biologically Coherent Virtual Staining
SheafStain solves spatial inconsistencies in virtual staining of gigapixel images by treating Vision Foundation Model features as mathematical sheaves within a Schrödinger Bridge framework. It formalizes context contamination as a gluing axiom violation, using explicit sheaf and cocycle losses to enforce structural coherence across patch boundaries, ensuring biologically consistent results.