Diffusion distance TODO. Will cover: Heat-kernel rows Pt(u,⋅)P^t(u, \cdot)Pt(u,⋅) as multi-scale neighbourhoods. ddifft(u,v)=∥Pt(u,⋅)−Pt(v,⋅)∥ℓ2(π−1)d_{\mathrm{diff}}^t(u, v) = \| P^t(u, \cdot) - P^t(v, \cdot) \|_{\ell^2(\pi^{-1})}ddifft(u,v)=∥Pt(u,⋅)−Pt(v,⋅)∥ℓ2(π−1). Limit behaviour as t→∞t \to \inftyt→∞. IsHypergraphMetric instance status.