ProofAtlas

Diffusion distance

TODO. Will cover:

  • Heat-kernel rows Pt(u,)P^t(u, \cdot) as multi-scale neighbourhoods.
  • ddifft(u,v)=Pt(u,)Pt(v,)2(π1)d_{\mathrm{diff}}^t(u, v) = \| P^t(u, \cdot) - P^t(v, \cdot) \|_{\ell^2(\pi^{-1})}.
  • Limit behaviour as tt \to \infty.
  • IsHypergraphMetric instance status.