A random permutation is a sequence where any order of its items is equally likely at random, that is, it is a permutation-valued random variable of a...

The statistics of random permutations, such as the cycle structure of a random permutation are of fundamental importance in the analysis of algorithms...

random forests, in particular: Using out-of-bag error as an estimate of the generalization error. Measuring variable importance through permutation....

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...

each of its faces. Less simply, a random permutation is a permutation generated uniformly randomly from the permutations of a given set and a uniform spanning...

cycle of the permutation has a length of at most 50. Their survival probability is therefore equal to the probability that a random permutation of the numbers...

sequence by randomly drawing an element from the list until no elements remain. The algorithm produces an unbiased permutation: every permutation is equally...

A permutation test (also called re-randomization test or shuffle test) is an exact statistical hypothesis test. A permutation test involves two or more...

indistinguishable from those of a random permutation. In the ideal permutation model, an additional oracle access is given to the ideal permutation and its inverse. The...

pseudorandom permutation (PRP) is a function that cannot be distinguished from a random permutation (that is, a permutation selected at random with uniform...

are: Permutation tests (also re-randomization tests) for generating counterfactual samples Bootstrapping Cross validation Jackknife Permutation tests...

x_{n})} is a random permutation, ( x 1 , x 2 , … , x j , x i ) {\displaystyle (x_{1},x_{2},\ldots ,x_{j},x_{i})} is also a random permutation, so the probability...

solution is to extend it to random serial dictatorship (RSD),: 6  also called random priority. In this mechanism, a random permutation of the voters is selected...

C.-W.; Chen, G.-H. (1993), "Generate all maximal independent sets in permutation graphs", Internat. J. Comput. Math., 47 (1–2): 1–8, doi:10.1080/00207169308804157...

the Fisher–Yates shuffle, which generates a random permutation of cards. In online gambling, the randomness of shuffling is crucial, and many sites provide...

where the hash function used is assumed to have pseudo-random properties, the random permutation would not be used.) Now, applying hmin to both A and B...

quality and happens to make the sorted permutation unlikely to occur. The following is a description of the randomized algorithm in pseudocode: while deck...

the difference between the block cipher (equipped with a random key) and a random permutation. To be a bit more precise, let E be an n-bit block cipher...

mathematical permutations. Alternating permutation Circular shift Cyclic permutation Derangement Even and odd permutations—see Parity of a permutation Josephus...

application it is common to use random trees formed by inserting nodes one at a time according to a random permutation. The resulting trees are very likely...

a truly random permutation is the ideal FPE cipher, for large domains it is infeasible to pre-generate and remember a truly random permutation. So the...

235: Random permutation". Communications of the ACM. 7 (7): 420. doi:10.1145/364520.364540. Robert Moscowitz (July 12, 1999). "Privacy's Random Nature"...

Leffler to create 6,000 random and unique Bingo cards. The effort is purported to have driven Leffler insane. Manual random permutation is an onerous and time-consuming...

it with all permutations of the same hard distribution would be equally hard, and would produce the distribution for a random permutation. Yao's principle...

contexts, randomization may involve Generating Random Permutations: This is essential in various situations, such as shuffling cards. By randomly rearranging...

insert fairness into this situation in the following way. Draw a random permutation of the agents from the uniform distribution. Then, let them successively...

shuffle permutations. It forms the basis for a recommendation that a deck of cards should be riffled seven times in order to thoroughly randomize it. It...

optimal solution: one player stays put and the other player visits a random permutation of the locations. As well as being problems of theoretical interest...

sponge construction. Sponge construction is based on a wide random function or random permutation, and allows inputting ("absorbing" in sponge terminology)...

the mathematics of permutations and the study of shuffling playing cards, a riffle shuffle permutation is one of the permutations of a set of n {\displaystyle...