filter
Bloom filter
space
method
parameters
time
terms
memory requirements
set
paper
consumption
Sliding Bloom Filters
https://doi.org/10.1007/978-3-642-45030-3_48
space construction
513-523
2013
2013-01-01
chapter
small error probability
false
community
update
problem
2022-05-20T07:45
queries
relevant parameters
space consumption
streams
stream of elements
literature
data structure
elements
investigation
chapters
A Bloom filter is a method for reducing the space (memory) required for representing a set by allowing a small error probability. In this paper we consider a Sliding Bloom Filter: a data structure that, given a stream of elements, supports membership queries of the set of the last n elements (a sliding window), while allowing a small error probability and a slackness parameter. The problem of sliding Bloom filters has appeared in the literature in several communities, but this work is the first theoretical investigation of it.We formally define the data structure and its relevant parameters and analyze the time and memory requirements needed to achieve them. We give a low space construction that runs in O(1) time per update with high probability (that is, for all sequences with high probability all operations take constant time) and provide an almost matching lower bound on the space that shows that our construction has the best possible space consumption up to an additive lower order term.
construction
probability
theoretical investigation
error probability
requirements
structure
lower order terms
work
order terms
en
membership queries
https://scigraph.springernature.com/explorer/license/
first theoretical investigation
high probability
978-3-642-45029-7
978-3-642-45030-3
Algorithms and Computation
Moni
Naor
doi
10.1007/978-3-642-45030-3_48
Yogev
Eylon
dimensions_id
pub.1020480472
Springer Nature - SN SciGraph project
Department of Computer Science and Applied Mathematics, Weizmann Institute of Science, 76100, Rehovot, Israel
Department of Computer Science and Applied Mathematics, Weizmann Institute of Science, 76100, Rehovot, Israel
Mathematical Sciences
Statistics
Lam
Tak-Wah
Siu-Wing
Cheng
Leizhen
Cai
Springer Nature