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.
In particular, xσ(1),...,xσ(s)are the largests entries ofx in absolute value
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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.