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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Yang Liu Wenji Chen Yong Guan |
| Copyright Year | 2013 |
| Description | Author affiliation: Dept. of Electr. & Comput. Eng., Iowa State Univ., Ames, IA, USA (Yang Liu; Wenji Chen; Yong Guan) |
| Abstract | There has been a long history of finding a spaceefficient data structure to support approximate membership queries, started from Bloom's work in the 1970's. Given a set A of n items and an additional item x from the same universe U of a size m ≫ n, we want to distinguish whether x ∈ A or not, using small (limited) space. The solutions for the membership query are needed for many network applications, such as cache directory, load-balancing, security, etc. If A is static, there exist optimal algorithms to find a randomized data structure to represent A using only (1+ o(1))n log 1/δ bits, which only allows for a small false positive δ but no false negative. However, existing optimal algorithms are not practical for many Internet applications, e.g., social network services, peer-to-peer systems, network traffic monitoring, etc. They are too spaceand time-expensive due to the frequent changes in the set A, because all items are needed to recompute the optimal data structure for each change using a linear running time. In this paper, we propose a novel data structure to support the approximate membership query in the time-decaying window model. In this model, items are inserted one-by-one over a data stream, and we want to determine whether an item is among the most recent w items for any given window size w ≤ n. Our data structure only requires O(n(log 1/δ+logn)) bits and O(1) running time. We also prove a non-trivial space lower bound, i.e. (n - δm) log(n - δm) bits, which guarantees that our data structure is near-optimal. Our data structure has been evaluated using both synthetic and real data sets. |
| Starting Page | 1447 |
| Ending Page | 1455 |
| File Size | 356664 |
| Page Count | 9 |
| File Format | |
| ISBN | 9781467359443 |
| ISSN | 0743166X |
| e-ISBN | 9781467359467 |
| DOI | 10.1109/INFCOM.2013.6566939 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2013-04-14 |
| Publisher Place | Italy |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Data structures Dictionaries Data models Radiation detectors Algorithm design and analysis Internet Security |
| Content Type | Text |
| Resource Type | Article |
| Subject | Computer Science Electrical and Electronic Engineering |
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