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b-Bit Minwise Hashing for Estimating Three-Way Similarities
Ping Li · Arnd C König · Wenhao Gui

Mon Dec 06 12:00 AM -- 12:00 AM (PST) @
Computing two-way and multi-way set similarities is a fundamental problem. This study focuses on estimating 3-way resemblance (Jaccard similarity) using b-bit minwise hashing. While traditional minwise hashing methods store each hashed value using 64 bits, b-bit minwise hashing only stores the lowest b bits (where b>= 2 for 3-way). The extension to 3-way similarity from the prior work on 2-way similarity is technically non-trivial. We develop the precise estimator which is accurate and very complicated; and we recommend a much simplified estimator suitable for sparse data. Our analysis shows that $b$-bit minwise hashing can normally achieve a 10 to 25-fold improvement in the storage space required for a given estimator accuracy of the 3-way resemblance.

Author Information

Ping Li (Baidu Research USA)
Arnd C König (Microsoft Research)
Wenhao Gui

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