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Monotonicity testing, routing, and a theorem of Lehman and RonWorkshop on Local Algorithms (WoLA) 20242024-08-05
States the Lehman–Ron routing theorem: given two same-level subsets S and T of the directed d‑cube with a bijection matching each s to a larger t, there exist…
Talk
The long path to \sqrt{d} monotonicity testersWorkshop on Local Algorithms (WoLA) 20242024-08-05
Shows an almost-complete resolution: non-adaptive monotonicity testing on {n}^d uses √d query "path testers" that run short upward random walks (length ≈√d)…
Talk
Counting Subgraphs in Sublinear TimeSublinear Algorithms Boot Camp 20242024-05-21
Shows concrete sublinear estimators and their costs: sampling √n uniform vertices gives a 2-approx for average degree (Feige), while an orientation by degree…
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FPT Algorithms for Finding Near-Cliques in $c$-Closed GraphsITCS 20222022-01-31
Proves fixed-parameter algorithms that enumerate specific near-cliques in c-closed graphs, with concrete bounds: FPT enumeration of maximal (d+1)-plexes in…
Talk
When Hashes Met Wedges - A Distributed Algorithm for Finding High Similarity VectorsSublinear Algorithms and Nearest-Neighbor Search2018-11-27
A MapReduce-style algorithm (WIMP) combines wedge sampling (Cohen–Lewis) with SimHash sketches to approximate all pairs with cosine similarity ≥ τ while…
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