5 papers
Rounds vs Communication Tradeoffs for Maximal Independent Sets
Sepehr Assadi, Gillat Kol, Zhijun Zhang
We consider the problem of finding a maximal independent set (MIS) in the shared blackboard communication model with vertex-partitioned inputs. There are players corresponding…
Statistically Near-Optimal Hypothesis Selection
Olivier Bousquet, Mark Braverman, Klim Efremenko +2
Hypothesis Selection is a fundamental distribution learning problem where given a comparator-class of distributions, and a sampling access to an unknown tar…
Near-Optimal Two-Pass Streaming Algorithm for Sampling Random Walks over Directed Graphs
Lijie Chen, Gillat Kol, Dmitry Paramonov +3
For a directed graph with vertices and a start vertex , we wish to (approximately) sample an -step random walk over starting from with…
Multi-Pass Graph Streaming Lower Bounds for Cycle Counting, MAX-CUT, Matching Size, and Other Problems
Sepehr Assadi, Gillat Kol, Raghuvansh R. Saxena +1
Consider the following gap cycle counting problem in the streaming model: The edges of a -regular -vertex graph are arriving one-by-one in a stream and we are promised th…
Convex Set Disjointness, Distributed Learning of Halfspaces, and LP Feasibility
Mark Braverman, Gillat Kol, Shay Moran +1
We study the Convex Set Disjointness (CSD) problem, where two players have input sets taken from an arbitrary fixed domain~ of size . T…