Title
An algebraic approach to complexity of data stream computations
Abstract
We consider a family of practical problems in the update data stream processing model, that is, data streams where arbitrary in- sertions and deletions of items are allowed. A typical problem is that of approximately estimating item frequencies to within relative error ǫ. This problem has ˜ O(ǫ 1) 1 upper and lower randomized space bounds. The current deterministic algorithm for the same problem requires ˜ O(ǫ 2) space. In this paper, we derive a deterministic space lower bound of ˜ O(ǫ 2). This implies similar ˜ O(ǫ 2) deterministic space bounds for a number of related problems.
Year
Venue
Keywords
2007
Clinical Orthopaedics and Related Research
lower bound,process model,relative error,computational complexity
Field
DocType
Volume
Discrete mathematics,Combinatorics,Algebraic number,Upper and lower bounds,Omega,Probability of error,Mathematics,Computation
Journal
abs/cs/070
Citations 
PageRank 
References 
0
0.34
9
Authors
1
Name
Order
Citations
PageRank
Sumit Ganguly1813236.01