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Michael Kapralov

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  • ITCS2 editions2022–2023

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Expander Decomposition in Dynamic StreamsITCS 20232023-01-10
This work shows a dynamic-stream algorithm that produces an expander decomposition reaching the optimal ε–φ tradeoff while using O(n/φ^2) memory but requiring…
Talk
Noisy Boolean Hidden Matching with ApplicationsITCS 20222022-01-31
Defines p-noisy Boolean hidden matching where each matching edge flips independently with probability p and proves the plaintext protocol is optimal, giving…
Talk
An Optimal Space Lower Bound for Approximating MAX-CUTSublinear Algorithms and Nearest-Neighbor Search2018-11-27
Shows that in the single-pass streaming model any algorithm that beats a trivial factor-2 for MAX-CUT (specifically any 2−ε approximation for constant ε>0)…
Talk
The Sketching Complexity of Graph and Hypergraph CountingInteractive Complexity 20182018-10-15
Counts subgraphs in bounded-degree graphs using linear sketches and a colored vertex-sampling estimator, proving space Theta(m / T^{1/μ}) where μ is the…
Talk
Data Streams IFoundations of Data Science Boot Camp 20182018-08-27
Shows that classic linear sketches (distinct‑elements, AMS) are applied to the graph edge‑incidence matrix to handle dynamic edge insertions and deletions…
Talk on
Data Streams IIFoundations of Data Science Boot Camp 20182018-08-27
CountSketch is used to turn unbiased dot‑product estimators into a practical CountSketch with B≈10·K buckets and hash repetitions T=Θ(log n): each bucket…
Talk on
Streaming Lower Bounds for Approximating MAX-CUTInformation Theory in Complexity Theory and Combinatorics 20152015-04-24
Proves any single-pass streaming algorithm that beats a trivial 2-approximation for MAX-CUT (achieving 2−ε) requires Ω(√n) space, even when edges arrive in a…
Talk on
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