A randomized algorithm estimates m(H) within factor (1 +/- epsilon) using O_d(log^{5d+5} n / epsilon^4) GPIS queries for d-uniform hypergraphs, if the sparsification lemma is valid.
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Hyperedge Estimation using Polylogarithmic Subset Queries
A randomized algorithm estimates m(H) within factor (1 +/- epsilon) using O_d(log^{5d+5} n / epsilon^4) GPIS queries for d-uniform hypergraphs, if the sparsification lemma is valid.