Approximate nearest neighbor search for ℓ_p-spaces (2 < p < ∞) via embeddings

While the problem of approximate nearest neighbor search has been well-studied for Euclidean space and ℓ₁, few non-trivial algorithms are known for ℓ_p when 2<p<∞. In this paper, we revisit this fundamental problem and present approximate nearest-neighbor search algorithms which give the best known approximation factor guarantees in this setting.