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Randomized algorithm

A randomized algorithm is an algorithm that employs a degree of randomness as part of its logic or procedure. The algorithm typically uses uniformly random bits as an auxiliary input to guide its behavior, in the hope of achieving good performance in the "average case" over all possible choices of random determined by the random bits; thus either the…

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Motivation

Computational complexity

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Examples

Derandomization

Where randomness helps

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Randomized algorithm

Nodes99
Edges98
Triples126
Avg. degree1.98
Density0.020202
Components1

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Randomized algorithm

Top relations

related to References · 65
Randomized algorithm → Addison Wesley, Algorithm Design, Algorithms, Cambridge University Press, Chapter, Charles, Christos Papadimitriou, Clifford Stein, Computational Complexity, Computing, Cormen, Cut, David, Denotational Semantics, Dirk Draheim, Fallis, Flow, GOV, Hill, Introduction
related to Where randomness helps · 19
Randomized algorithm → Any, Based, BPP, Bárány, Füredi, However, In, IP, More, NP, PACC, Probably Approximately Correct Computation, PSPACE, The, Theta, This, Turing, When, With
related to Computational complexity · 13
Randomized algorithm → Both Las Vegas, BPP, Computational, Monte Carlo, NO-instances, Problem, RP, The, This, Turing, YES, YES-instances, ZPP
related to Number theory · 12
Randomized algorithm → At, Elwyn Berlekamp, Henry Cabourn Pocklington, In, Michael, Miller's, Pocklington's, Rabin, Robert, Solovay, Soon, Volker Strassen
related to Derandomization · 6
Randomized algorithm → BPP, Derandomization, For, It, Randomness, There
related to Implicit uses in combinatorics · 6
Randomized algorithm → Erdős, He, Paul Erdős, Prior, Ramsey, This
see also · 4
Randomized algorithm → Approximate, Carlo, City, Vegas
is a · 1
Randomized algorithm → algorithm that employs a degree of randomness as part of its logic or procedure

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Important terminology

algorithm randomized time algorithms cut probability displaystyle random number randomness min probabilistic input running expected graph used known las vegas

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Randomized algorithmis aalgorithm that employs a degree of randomness as part of its logic or procedure0.90text
Randomized algorithmrelated to Computational complexityComputational0.60section
Randomized algorithmrelated to Computational complexityTuring0.60section
Randomized algorithmrelated to Computational complexityBoth Las Vegas0.60section
Randomized algorithmrelated to Computational complexityMonte Carlo0.60section
Randomized algorithmrelated to Computational complexityThe0.60section
Randomized algorithmrelated to Computational complexityRP0.60section
Randomized algorithmrelated to Computational complexityNO-instances0.60section
Randomized algorithmrelated to Computational complexityYES-instances0.60section
Randomized algorithmrelated to Computational complexityProblem0.60section
Randomized algorithmrelated to Computational complexityZPP0.60section
Randomized algorithmrelated to Computational complexityYES0.60section

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