Black-box reduction turns any T(n, m_in, m_out)-time sparse matrix multiplication algorithm into a robust version approximating the k largest outputs in Õ(T(n, m_in, k)) time.
All in all, the probability of not recoveringi⋆is at most 2 γ+ 200 α·γ+ 0.01 + 1 25 < 1 4, for a suitable choice ofγ
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Robustifying Sparse Matrix Multiplication
Black-box reduction turns any T(n, m_in, m_out)-time sparse matrix multiplication algorithm into a robust version approximating the k largest outputs in Õ(T(n, m_in, k)) time.