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The Score Hamiltonian: Mapping Diffusion Models to Adiabatic Transport

math-ph · 2026-05-28 · unverdicted · novelty 5.0

Establishes exact correspondence between diffusion sampling and adiabatic ground-state transport in Score Hamiltonians, yielding density reconstruction bounds and a fundamental sampling limit given by squared score error over spectral gap.

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  • The Score Hamiltonian: Mapping Diffusion Models to Adiabatic Transport math-ph · 2026-05-28 · unverdicted · none · ref 40

    Establishes exact correspondence between diffusion sampling and adiabatic ground-state transport in Score Hamiltonians, yielding density reconstruction bounds and a fundamental sampling limit given by squared score error over spectral gap.