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math-ph2026
The Score Hamiltonian: Mapping Diffusion Models to Adiabatic Transport
Peter Halmos, Boris Hanin
We exhibit an exact correspondence between sampling with score-based diffusion models and adiabatic transport of ground states for a family of Schrödinger operators we call Score H…
cs.LG2026
Transport Clustering: Solving Low-Rank Optimal Transport via Clustering
Henri Schmidt, Peter Halmos, Ben Raphael
Optimal transport (OT) finds a least cost transport plan between two probability distributions using a cost matrix defined on pairs of points. Unlike standard OT, which infers unst…