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cs.DS2024
On the Streaming Complexity of Expander Decomposition
Yu Chen, Michael Kapralov, Mikhail Makarov +1
In this paper we study the problem of finding -expander decompositions of a graph in the streaming model, in particular for dynamic streams of edge insertions and deletions…
cs.DS2024
On the adversarial robustness of Locality-Sensitive Hashing in Hamming space
Michael Kapralov, Mikhail Makarov, Christian Sohler
Locality-sensitive hashing~[Indyk,Motwani'98] is a classical data structure for approximate nearest neighbor search. It allows, after a close to linear time preprocessing of the in…
cs.DS2022
Toeplitz Low-Rank Approximation with Sublinear Query Complexity
Michael Kapralov, Hannah Lawrence, Mikhail Makarov +2
We present a sublinear query algorithm for outputting a near-optimal low-rank approximation to any positive semidefinite Toeplitz matrix . In particu…