A min-wise independent permutation family is known to be an efficient tool to estimate similarity of documents. Toward good understanding of min-wise independence, we present a characterization of exactly min-wise independent permutation families by size uniformity, which represents certain symmetry of the string representation of a family. Also, we present a general construction strategy which produce any exactly min-wise independent permutation family using this characterization.
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Yoshinori TAKEI, Toshiya ITOH, "A General Construction of Min-Wise Independent Permutations" in IEICE TRANSACTIONS on Fundamentals,
vol. E83-A, no. 4, pp. 646-655, April 2000, doi: .
Abstract: A min-wise independent permutation family is known to be an efficient tool to estimate similarity of documents. Toward good understanding of min-wise independence, we present a characterization of exactly min-wise independent permutation families by size uniformity, which represents certain symmetry of the string representation of a family. Also, we present a general construction strategy which produce any exactly min-wise independent permutation family using this characterization.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e83-a_4_646/_p
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@ARTICLE{e83-a_4_646,
author={Yoshinori TAKEI, Toshiya ITOH, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A General Construction of Min-Wise Independent Permutations},
year={2000},
volume={E83-A},
number={4},
pages={646-655},
abstract={A min-wise independent permutation family is known to be an efficient tool to estimate similarity of documents. Toward good understanding of min-wise independence, we present a characterization of exactly min-wise independent permutation families by size uniformity, which represents certain symmetry of the string representation of a family. Also, we present a general construction strategy which produce any exactly min-wise independent permutation family using this characterization.},
keywords={},
doi={},
ISSN={},
month={April},}
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TY - JOUR
TI - A General Construction of Min-Wise Independent Permutations
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 646
EP - 655
AU - Yoshinori TAKEI
AU - Toshiya ITOH
PY - 2000
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E83-A
IS - 4
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - April 2000
AB - A min-wise independent permutation family is known to be an efficient tool to estimate similarity of documents. Toward good understanding of min-wise independence, we present a characterization of exactly min-wise independent permutation families by size uniformity, which represents certain symmetry of the string representation of a family. Also, we present a general construction strategy which produce any exactly min-wise independent permutation family using this characterization.
ER -