Title
Optimality of Linear Sketching under Modular Updates.
Abstract
We study the relation between streaming algorithms and linear sketching algorithms, in the context of binary updates. We show that for inputs in n dimensions, the existence of efficient streaming algorithms which can process Omega(n(2)) updates implies efficient linear sketching algorithms with comparable cost. This improves upon the previous work of Li, Nguyen and Woodruff [23] and Ai, Hu, Li and Woodruff [3] which required a triple-exponential number of updates to achieve a similar result for updates over integers. We extend our results to updates modulo p for integers p >= 2, and to approximation instead of exact computation.
Year
DOI
Venue
2018
10.4230/LIPIcs.CCC.2019.13
Leibniz International Proceedings in Informatics
Keywords
DocType
Volume
communication complexity,linear sketching,streaming algorithm
Journal
137
ISSN
Citations 
PageRank 
1868-8969
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
kaave hosseini101.35
Shachar Lovett252055.02
Grigory Yaroslavtsev320917.36