A random permutation is a random ordering of a set of objects, that is, a permutation-valued random variable. The use of random permutations is often fundamental to fields that use randomized algorithms such as coding theory, cryptography, and simulation. A good example of a random permutation is the shuffling of a deck of cards: this is ideally a random permutation of the 52 cards.
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A randompermutation is a random ordering of a set of objects, that is, a permutation-valued random variable. The use of randompermutations is often fundamental...
The statistics of randompermutations, such as the cycle structure of a randompermutation are of fundamental importance in the analysis of algorithms...
In mathematics, a permutation of a set can mean one of two different things: an arrangement of its members in a sequence or linear order, or the act or...
over any finite set. For instance, a randompermutation is a permutation generated uniformly from the permutations of a given length, and a uniform spanning...
indistinguishable from those of a randompermutation. In the ideal permutation model, an additional oracle access is given to the ideal permutation and its inverse. The...
x_{n})} is a randompermutation, ( x 1 , x 2 , … , x j , x i ) {\displaystyle (x_{1},x_{2},\ldots ,x_{j},x_{i})} is also a randompermutation, so the probability...
pseudorandom permutation (PRP) is a function that cannot be distinguished from a randompermutation (that is, a permutation selected at random with uniform...
A permutation test (also called re-randomization test or shuffle test) is an exact statistical hypothesis test making use of the proof by contradiction...
application it is common to use random trees formed by inserting nodes one at a time according to a randompermutation. The resulting trees are very likely...
random forests, in particular: Using out-of-bag error as an estimate of the generalization error. Measuring variable importance through permutation....
deterministic version that enumerates all permutations until it hits a sorted one, and a randomized version that randomly permutes its input. An analogy for...
cycle of the permutation has a length of at most 50. Their survival probability is therefore equal to the probability that a randompermutation of the numbers...
where the hash function used is assumed to have pseudo-random properties, the randompermutation would not be used.) Now, applying hmin to both A and B...
specific permutation is not absolutely required, though it does require a randomized array of the integers 0 to 255. If creating a new permutation table...
variate Random real Richard Durstenfeld (July 1964). "Algorithm 235: Randompermutation". Communications of the ACM (Association for Computing Machinery)...
mathematical permutations. Alternating permutation Circular shift Cyclic permutation Derangement Even and odd permutations—see Parity of a permutation Josephus...
entries 0.: 26 An n × n permutation matrix can represent a permutation of n elements. Pre-multiplying an n-row matrix M by a permutation matrix P, forming PM...
the difference between the block cipher (equipped with a random key) and a randompermutation. To be a bit more precise, let E be an n-bit block cipher...
significance by comparing the actual F test result to that gained from randompermutations of the objects between the groups. Moreover, whilst PERMANOVA tests...
Dobiński's formula). Let the random variable X be the number of fixed points of a uniformly distributed randompermutation of a finite set of size m. Then...
share very long prefixes. Most critically, this algorithm follows a randompermutation, and is thus particularly cache-unfriendly for large datasets.[user-generated...
of independent random variables with continuous distribution F {\displaystyle F} – or alternatively the elements of a randompermutation – are presented...
which is structured in such a way that information about how a group of permutations acts on a set can be simply read off from the coefficients and exponents...
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