Single pass space efficent system and method for generating approximate quantiles satisfying an apriori user-defined approximation error

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United States of America Patent

PATENT NO 6108658
SERIAL NO

09050434

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Abstract

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A system and method for finding an .epsilon.-approximate .phi.-quantile data element of a data set with N data elements in a single pass over the data set. The .epsilon.-approximate .phi.-quantile data element is guaranteed to lie within a user-specified approximation error .epsilon. of a true .phi.-quantile data element being sought. B buffers, each having a capacity of k elements, initially are filled with sorted data elements from the data set, with the values of b and k depending on .epsilon. and N. The buffers are then collapsed into an output buffer, with the remaining buffers then being refilled with data elements, collapsed (along with the previous output buffer), and so on until the entire data set has been processed and a single output buffer remains. A data element of the output buffer corresponding to the .epsilon.-approximate .phi.-quantile is then output as the approximate .phi.-quantile data element. If desired, the system and method can be practiced with sampling to even further reduce the amount of space required to find a desired .epsilon.-approximate .phi.-quantile data element.

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Patent Owner(s)

Patent OwnerAddress
INTERNATIONAL BUSINESS MACHINES CORPORATIONNEW ORCHARD ROAD ARMONK NY 10504

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Inventor(s)

Inventor Name Address # of filed Patents Total Citations
Lindsay, Bruce Gilbert San Jose, CA 25 777
Manku, Gurmeet Singh Santa Clara, CA 12 571
Rajogopalan, Sirdhar San Jose, CA 1 24

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