Sparse polynomial surrogates approximate parametric diffusion on community-structured graphs, with convergence guarantees via holomorphic regularity and tests on synthetic and real graphs.
Definition 4(Lower sets).A multi-index setΛ⊆N d 0 islowerif the following holds for everyν,µ∈N d 0:(ν∈Λandµ≤ν) =⇒µ∈Λ,where the inequality is understood componentwise
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Surrogate models for diffusion on graphs via sparse polynomials
Sparse polynomial surrogates approximate parametric diffusion on community-structured graphs, with convergence guarantees via holomorphic regularity and tests on synthetic and real graphs.