8 citations · 41 across the 26 of their papers we have counts for
4 papers · 1 filter
Optimal terminal dimensionality reduction in Euclidean space
Shyam Narayanan, Jelani Nelson
Let and be arbitrary with having size . The Johnson-Lindenstrauss lemma states there exists with…
3-wise Independent Random Walks can be Slightly Unbounded
Shyam Narayanan
Recently, many streaming algorithms have utilized generalizations of the fact that the expected maximum distance of any -wise independent random walk on a line over steps is…
Deterministic -Approximation Algorithms to 1-Center Clustering with Outliers
Shyam Narayanan
The 1-center clustering with outliers problem asks about identifying a prototypical robust statistic that approximates the location of a cluster of points. Given some constant $0 <…
Resolving Two Conjectures on Staircase Encodings and Boundary Grids of and -avoiding permutations
Shyam Narayanan
This paper analyzes relations between pattern avoidance of certain permutations and graphs on staircase grids and boundary grids, and proves two conjectures posed by Bean, Tannock,…