HyperLogLog
HyperLogLog: the analysis of a near-optimal cardinality estimation algorithm This extended abstract describes and analyses a near-optimal probabilistic algorithm, HyperLogLog, dedicated to estimating the number of distinct elements (the cardinality) of very large data ensembles. Using an auxiliary memory of m units (typically, “short bytes”), HyperLogLog performs a single pass over the data and produces an estimate of the cardinality such that the relative accuracy (the standard error) is typically about 1·04/m. This improves on the best previously known cardinality estimator, LogLog, whose accuracy can be matched by consuming only 64% of the original memory. For instance, the new algorithm makes it possible to estimate cardinalities well beyond 109 with a typical accuracy of 2% while using a memory of only 1.5 kilobytes. The algorithm parallelizes optimally and adapts to the sliding window model.
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References in zbMATH (referenced in 14 articles , 1 standard article )
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Sorted by year (- Rachkovskij, D. A.: Index structures for fast similarity search for real-valued vectors. I (2018)
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- Lumbroso, Jérémie: An optimal cardinality estimation algorithm based on order statistics and its full analysis (2010)
- Giroire, Frédéric: Order statistics and estimating cardinalities of massive data sets (2009)
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- Flajolet, P.; Fusy, É.; Gandouet, O.; Meunier, F.: HyperLogLog: the analysis of a near-optimal cardinality estimation algorithm (2007)