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,⋅)∥ℓ2(π−1)d_{\mathrm{diff}}^t(u, v) = \| P^t(u, \cdot) - P^t(v, \cdot) \|_{\ell^2(\pi^{-1})}.
  • Limit behaviour as t→∞t \to \infty.
  • IsHypergraphMetric instance status.