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Image Credit: Arxiv

Learning Low Degree Hypergraphs

  • We study the problem of learning a hypergraph via edge detecting queries.
  • Learning a hypergraph with m edges of max size d requires Ω((2m/d)^(d/2)) queries.
  • We identify hypermatchings and low-degree near-uniform hypergraphs as learnable with poly(n) queries.
  • For hypergraphs with max degree Δ and edge size ratio ρ, we give a non-adaptive algorithm with O((2n)^(ρΔ+1)log^2n) queries.

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