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Estimating Cardinality for Arbitrarily Large Data Stream With Improved Memory Efficiency

delete2020-04-01
delete21
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OA
AI
Q
Qingjun Xiao *
S
Shigang Chen
Y
You Zhou
罗军舟 (Junzhou Luo)
DOI:10.1109/TNET.2020.2970860delete
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Abstract

Abstract

En 中文
Cardinality estimation is the task of determining the number of distinct elements (or the cardinality) in a data stream, under a stringent constraint that the input data stream can be scanned by just one single pass. This is a fundamental problem with many practical applications, such as traffic monitoring of high-speed networks and query optimization of Internet-scale database. To solve the problem, we propose an algorithm named HLL-TailCut, which implements the estimation standard error $1.0 / \sqrt {m}$ using the memory units of four or three bits each, whose cost is much smaller than the five-bit memory units used by HyperLogLog, the best previously known cardinality estimator. This makes it possible to reduce the memory cost of HyperLogLog by 20%-45%. For example, when the target estimation error is 1.1%, state-of-the-art HyperLogLog needs 5.6 kilobytes memory. By contrast, our new algorithm only needs 3 kilobytes memory consumption for attaining the same accuracy. Additionally, our algorithm is able to support the estimation of very large stream cardinalities, even on the Tera and Peta scale.
Keywords:
Data streams
cardinality estimation
random hashing
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IEEE-ACM Transactions on Networking
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University of Florida
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State University System of Florida
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southeast university - china
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