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Minwise Independent Permutations
 Journal of Computer and System Sciences
, 1998
"... We define and study the notion of minwise independent families of permutations. We say that F ⊆ Sn is minwise independent if for any set X ⊆ [n] and any x ∈ X, when π is chosen at random in F we have Pr(min{π(X)} = π(x)) = 1 X . In other words we require that all the elements of any fixed set ..."
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Cited by 276 (14 self)
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We define and study the notion of minwise independent families of permutations. We say that F ⊆ Sn is minwise independent if for any set X ⊆ [n] and any x ∈ X, when π is chosen at random in F we have Pr(min{π(X)} = π(x)) = 1 X . In other words we require that all the elements of any fixed set
Minwise independent permutations (extended abstract
 In STOC ’98: Proceedings of the thirtieth annual ACM symposium on Theory of computing
, 1998
"... We define and study the notion of minwise independent families of permutations. We say that F⊆Sn is minwise independent if for any set X ⊆ [n] and any x ∈ X, when π is chosen at random in F we have Pr ( min{π(X)} = π(x) ) = 1 X . In other words we require that all the elements of any fixed set ..."
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Cited by 59 (1 self)
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We define and study the notion of minwise independent families of permutations. We say that F⊆Sn is minwise independent if for any set X ⊆ [n] and any x ∈ X, when π is chosen at random in F we have Pr ( min{π(X)} = π(x) ) = 1 X . In other words we require that all the elements of any fixed
A Derandomization Using MinWise Independent Permutations
 In Randomization and approximation techniques in computer science
"... . Minwise independence is a recently introduced notion of limited independence, similar in spirit to pairwise independence. The later has proven essential for the derandomization of many algorithms. Here we show that approximate minwise independence allows similar uses, by presenting a derando ..."
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Cited by 20 (3 self)
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. Minwise independence is a recently introduced notion of limited independence, similar in spirit to pairwise independence. The later has proven essential for the derandomization of many algorithms. Here we show that approximate minwise independence allows similar uses, by presenting a
: www.idealibrary.com on MinWise Independent Permutations
, 1998
"... We define and study the notion of minwise independent families of permutations. We say that F Sn (the symmetric group) is minwise independent if for any set X [n] and any x # X, when? is chosen at random in F we have Pr(min[?(X)]=?(x)) = 1 X . In other words we require that all the elements of a ..."
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We define and study the notion of minwise independent families of permutations. We say that F Sn (the symmetric group) is minwise independent if for any set X [n] and any x # X, when? is chosen at random in F we have Pr(min[?(X)]=?(x)) = 1 X . In other words we require that all the elements
Completeness and robustness properties of minwise independent permutations
 RANDOM STRUCTURES AND ALGORITHMS
, 1999
"... We provide several new results related to the concept of minwise independence. Our main result is that any randomized sampling scheme for the relative intersection of sets based on testing equality of samples yields an equivalent minwise independent family. Thus, in a certain sense, minwise indepe ..."
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Cited by 4 (0 self)
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permutation from a minwise independent family, any element of a fixed set has an equal chance to get any rank in the image of the set, not only the minimum as required by definition.
Constructing an Optimal Family of MinWise Independent Permutations
, 2000
"... this paper, we shallcoll[53 a familyF ..."
A Characterization of ${\rm Min}$Wise Independent Permutations Families
"... Abstract. A ${\rm Min}$Wise Independent Permutation Family is an efficient tool to estimate similarity of documents. We present a characterization of Exact MWIPFs by size uniformity, which represents certain symmetry of the string representation of a family. Also, we present a general construction ..."
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Abstract. A ${\rm Min}$Wise Independent Permutation Family is an efficient tool to estimate similarity of documents. We present a characterization of Exact MWIPFs by size uniformity, which represents certain symmetry of the string representation of a family. Also, we present a general
Low Discrepancy Sets Yield Approximate MinWise Independent Permutation Families
 In Proc. International Workshop on Randomization and Approximation Techniques in Computer Science
, 1999
"... Motivated by a problem of filtering nearduplicate Web documents, Broder, Charikar, Frieze & Mitzenmacher defined the following notion of fflapproximate minwise independent permutation families. A multiset F of permutations of f0; 1; : : : ; n \Gamma 1g is such a family if for all K ` f0; 1; : ..."
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Cited by 7 (0 self)
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Motivated by a problem of filtering nearduplicate Web documents, Broder, Charikar, Frieze & Mitzenmacher defined the following notion of fflapproximate minwise independent permutation families. A multiset F of permutations of f0; 1; : : : ; n \Gamma 1g is such a family if for all K ` f0; 1
On (ε, k)minwise independent permutations
"... A family of permutations F of [n] = {1, 2,..., n} is (ε, k)minwise independent if for every nonempty subset X of at most k elements of [n], and for any x ∈ X, the probability that in a random element π of F, π(x) is the minimum element of π(X), deviates from 1/X  by at most ε/X. This notion c ..."
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A family of permutations F of [n] = {1, 2,..., n} is (ε, k)minwise independent if for every nonempty subset X of at most k elements of [n], and for any x ∈ X, the probability that in a random element π of F, π(x) is the minimum element of π(X), deviates from 1/X  by at most ε/X. This notion
On the sample size of krestricted minwise independent permutations and other kwise distributions
 Proc. of the 35th Annual ACM Symposium on Theory of Computing, 2003
, 2003
"... An explicit study of minwise independent permutation families, together with their variants — krestricted, approximate, etc. — was initiated by Broder, et al [4]. In this paper, we give a lower bound for the size of krestricted minwise independent permutation family. A family F of permutations o ..."
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Cited by 3 (1 self)
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An explicit study of minwise independent permutation families, together with their variants — krestricted, approximate, etc. — was initiated by Broder, et al [4]. In this paper, we give a lower bound for the size of krestricted minwise independent permutation family. A family F of permutations
Results 1  10
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350,048