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BPP (complexity) and Randomized algorithm

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between BPP (complexity) and Randomized algorithm

BPP (complexity) vs. Randomized algorithm

In computational complexity theory, BPP, which stands for bounded-error probabilistic polynomial time is the class of decision problems solvable by a probabilistic Turing machine in polynomial time with an error probability bounded away from 1/2 for all instances. A randomized algorithm is an algorithm that employs a degree of randomness as part of its logic.

Similarities between BPP (complexity) and Randomized algorithm

BPP (complexity) and Randomized algorithm have 17 things in common (in Unionpedia): AKS primality test, Christos Papadimitriou, Computational complexity theory, Decision problem, Las Vegas algorithm, Monte Carlo algorithm, NP (complexity), Primality test, Prime number, Probabilistic Turing machine, Pseudorandom number generator, Quantum computing, Randomized algorithm, RP (complexity), Time complexity, Turing machine, ZPP (complexity).

AKS primality test

The AKS primality test (also known as Agrawal–Kayal–Saxena primality test and cyclotomic AKS test) is a deterministic primality-proving algorithm created and published by Manindra Agrawal, Neeraj Kayal, and Nitin Saxena, computer scientists at the Indian Institute of Technology Kanpur, on August 6, 2002, in a paper titled "PRIMES is in P".

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Christos Papadimitriou

Christos Harilaos Papadimitriou (Greek: Χρήστος Χαρίλαος Παπαδημητρίου; born August 16, 1949) is a Greek theoretical computer scientist, and professor of Computer Science at Columbia University.

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Computational complexity theory

Computational complexity theory is a branch of the theory of computation in theoretical computer science that focuses on classifying computational problems according to their inherent difficulty, and relating those classes to each other.

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Decision problem

In computability theory and computational complexity theory, a decision problem is a problem that can be posed as a yes-no question of the input values.

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Las Vegas algorithm

In computing, a Las Vegas algorithm is a randomized algorithm that always gives correct results; that is, it always produces the correct result or it informs about the failure.

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Monte Carlo algorithm

In computing, a Monte Carlo algorithm is a randomized algorithm whose output may be incorrect with a certain (typically small) probability.

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NP (complexity)

In computational complexity theory, NP (for nondeterministic polynomial time) is a complexity class used to describe certain types of decision problems.

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Primality test

A primality test is an algorithm for determining whether an input number is prime.

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Prime number

A prime number (or a prime) is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.

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Probabilistic Turing machine

In computability theory, a probabilistic Turing machine is a non-deterministic Turing machine which chooses between the available transitions at each point according to some probability distribution.

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Pseudorandom number generator

A pseudorandom number generator (PRNG), also known as a deterministic random bit generator (DRBG), is an algorithm for generating a sequence of numbers whose properties approximate the properties of sequences of random numbers.

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Quantum computing

Quantum computing is computing using quantum-mechanical phenomena, such as superposition and entanglement.

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Randomized algorithm

A randomized algorithm is an algorithm that employs a degree of randomness as part of its logic.

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RP (complexity)

In computational complexity theory, randomized polynomial time (RP) is the complexity class of problems for which a probabilistic Turing machine exists with these properties.

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Time complexity

In computer science, the time complexity is the computational complexity that describes the amount of time it takes to run an algorithm.

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Turing machine

A Turing machine is a mathematical model of computation that defines an abstract machine, which manipulates symbols on a strip of tape according to a table of rules.

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ZPP (complexity)

In complexity theory, ZPP (zero-error probabilistic polynomial time) is the complexity class of problems for which a probabilistic Turing machine exists with these properties.

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The list above answers the following questions

BPP (complexity) and Randomized algorithm Comparison

BPP (complexity) has 52 relations, while Randomized algorithm has 91. As they have in common 17, the Jaccard index is 11.89% = 17 / (52 + 91).

References

This article shows the relationship between BPP (complexity) and Randomized algorithm. To access each article from which the information was extracted, please visit:

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