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Type of algorithm in computer science
In computer science, a deterministic algorithm is an algorithm that, given a particular input, will always produce the same output, with the underlying
Deterministic_algorithm
Algorithm whose behavior and output may depend on the run
algorithm is an algorithm that, even for the same input, can exhibit different behaviors on different runs, as opposed to a deterministic algorithm.
Nondeterministic_algorithm
System in which no randomness is involved in determining its future states
[citation needed] There may be non-deterministic algorithms that run on a deterministic machine, for example, an algorithm that relies on random choices.
Deterministic_system
Deterministic quantum algorithm
The Deutsch–Jozsa algorithm is a deterministic quantum algorithm proposed by David Deutsch and Richard Jozsa in 1992 with improvements by Richard Cleve
Deutsch–Jozsa_algorithm
Combinatorial game theory concept to represent all possible game states
generated, a deterministic algorithm, such as backward induction or retrograde analysis can be used. Randomized algorithms and minmax algorithms such as MCTS
Game_tree
Equivalence of average-case and expected complexity
performance of randomized algorithms to deterministic (non-random) algorithms. It states that, for certain classes of algorithms, and certain measures of
Yao's_principle
Algorithm that employs a degree of randomness as part of its logic or procedure
turned into a polynomial-time randomized algorithm. At that time, no provably polynomial-time deterministic algorithms for primality testing were known. One
Randomized_algorithm
Coding theory algorithm
algorithm. The first two will be randomized algorithms while the last one will be a deterministic algorithm. Hamming distance : Given two vectors u , v
Generalized minimum-distance decoding
Generalized_minimum-distance_decoding
Sequence of operations for a task
output and terminating. Randomized algorithms incorporate random inputs which can be used to simulate non-deterministic output even though the transitions
Algorithm
Complexity class
brute-force search algorithm. Polynomial time refers to an amount of time that is considered "quick" for a deterministic algorithm to check a single solution
NP-completeness
Method for analyzing online algorithms
its execution. (For a deterministic algorithm, there is no difference; either adversary can simply compute what state that algorithm must have at any time
Competitive analysis (online algorithm)
Competitive_analysis_(online_algorithm)
Finite-state machine
deterministic finite automaton (DFA)—also known as deterministic finite acceptor (DFA), deterministic finite-state machine (DFSM), or deterministic finite-state
Deterministic finite automaton
Deterministic_finite_automaton
Cryptographic device
unlike a pseudorandom number generator (PRNG) that utilizes a deterministic algorithm and non-physical nondeterministic random bit generators that do
Hardware random number generator
Hardware_random_number_generator
Searching for patterns in text
A string-searching algorithm, sometimes called string-matching algorithm, is an algorithm that searches a body of text for portions that match by pattern
String-searching_algorithm
Method for finding kth smallest value
Unlike quickselect, this algorithm is deterministic, not randomized. It was the first linear-time deterministic selection algorithm known, and is commonly
Selection_algorithm
randomized algorithms in a simpler and more efficient fashion than with deterministic algorithms. Unfortunately, this makes even simple randomized algorithms difficult
Algorithm_engineering
of states in a deterministic finite automaton Powerset construction: algorithm to convert nondeterministic automaton to deterministic automaton. Tarski–Kuratowski
List_of_algorithms
Concept in computer science
polynomial time with a deterministic machine, since a deterministic algorithm is a special case of a probabilistic algorithm. Informally, a problem is
BPP_(complexity)
Probabilistic primality test
solution is to try all possible bases, which yields an inefficient deterministic algorithm. The Miller test is a more efficient variant of this (see section
Miller–Rabin_primality_test
Unsolved problem on graph query complexity
More precisely, the Aanderaa–Rosenberg conjecture states that any deterministic algorithm must test at least a constant fraction of all possible pairs of
Aanderaa–Karp–Rosenberg conjecture
Aanderaa–Karp–Rosenberg_conjecture
Complexity class used to classify decision problems
in a nondeterministic way, while the second phase consists of a deterministic algorithm that verifies whether the guess is a solution to the problem. The
NP_(complexity)
Field of machine learning
search can be further restricted to deterministic stationary policies. A deterministic stationary policy deterministically selects actions based on the current
Reinforcement_learning
18 mathematical problems stated in 1998
4007/annals.2011.174.3.8. S2CID 706015. Lairez, Pierre (2016). "A deterministic algorithm to compute approximate roots of polynomial systems in polynomial
Smale's_problems
Type of computer science algorithm
connected component of the graph, there is no known simple, deterministic, in-place algorithm to determine this. However, if we simply start at one vertex
In-place_algorithm
computability theory and mathematical logic the Tarski–Kuratowski algorithm is a non-deterministic algorithm that produces an upper bound for the complexity of a given
Tarski–Kuratowski_algorithm
Method for finding minimum spanning trees
inverse Ackermann function. These randomized and deterministic algorithms combine steps of Borůvka's algorithm, reducing the number of components that remain
Borůvka's_algorithm
Seemingly random, difficult to predict bit stream created by a deterministic algorithm
pseudorandom bitstream is a binary sequence that, while generated with a deterministic algorithm, is difficult to predict and exhibits statistical behavior similar
Pseudorandom_binary_sequence
Algorithm for virtual memory implementation
analysis perspective in the sense that the optimal deterministic algorithm is known. Page replacement algorithms were a hot topic of research and debate in the
Page_replacement_algorithm
weighted voting which improves on the mistake bound of the deterministic weighted majority algorithm. In fact, in the limit, its prediction rate can be arbitrarily
Randomized weighted majority algorithm
Randomized_weighted_majority_algorithm
Concept in computer science
computer science, an online algorithm measures its competitiveness against different adversary models. For deterministic algorithms, the adversary is the same
Adversary_model
Tool for working with matrices
a randomized allocation of items, Birkhoff's algorithm can decompose it into a lottery on deterministic allocations. A bistochastic matrix (also called:
Birkhoff_algorithm
Methodic assignment of colors to elements of a graph
distributed algorithm for 3-coloring an n-cycle. Linial (1992) showed that this is not possible: any deterministic distributed algorithm requires Ω(log* n)
Graph_coloring
Randomized algorithm for verifying matrix multiplication
randomized algorithms can speed up a very slow deterministic algorithm. Freivalds' algorithm frequently arises in introductions to probabilistic algorithms because
Freivalds'_algorithm
Automated methods for the creation of mazes
Maze generation algorithms are automated methods for the creation of mazes. A maze can be generated by starting with a predetermined arrangement of cells
Maze_generation_algorithm
Problem in combinatorial optimization
give a 2-competitive algorithm, prove a lower bound of ~1.368 for randomized algorithms, and prove that no deterministic algorithm can have a constant
Knapsack_problem
Type of randomized algorithm
Vegas algorithm depends on whether halting with probability one is considered to satisfy the definition. While the answer returned by a deterministic algorithm
Monte_Carlo_algorithm
are the most "difficult" or "expressive" problems in NL. If a deterministic algorithm exists for solving any one of the NL-complete problems in logarithmic
NL-complete
Estimate of time taken for running an algorithm
positive constant k {\displaystyle k} . Problems for which a deterministic polynomial-time algorithm exists belong to the complexity class P, which is central
Time_complexity
Least-weight tree connecting graph vertices
solved deterministically for a general graph in linear time by a comparison-based algorithm remains an open question. Deterministic algorithms are known
Minimum_spanning_tree
Automated method for solving mazes
maze-solving algorithm is an automated method for solving a maze. The random mouse, wall follower, Pledge, Tarry's, and Trémaux's algorithms are designed
Maze-solving_algorithm
Inherent difficulty of computational problems
more efficiently. Algorithms that use random bits are called randomized algorithms. A non-deterministic Turing machine is a deterministic Turing machine
Computational complexity theory
Computational_complexity_theory
preceding section, Victor Shoup's algorithm is an equal-degree factorization algorithm. Unlike them, it is a deterministic algorithm. However, it is less efficient
Factorization of polynomials over finite fields
Factorization_of_polynomials_over_finite_fields
Algorithm in molecular physics
The Nosé–Hoover thermostat is a deterministic algorithm for constant-temperature molecular dynamics simulations. It was originally developed by Shuichi
Nosé–Hoover_thermostat
divide and conquer algorithms, greedy algorithms, and randomized algorithms to achieve expected linear performance. Deterministic algorithms that find the
Expected linear time MST algorithm
Expected_linear_time_MST_algorithm
Branch of numerical optimization
Deterministic global optimization is a branch of mathematical optimization which focuses on finding the global solutions of an optimization problem whilst
Deterministic global optimization
Deterministic_global_optimization
actually the optimum deterministic list update algorithm. The type of adversary doesn't matter in the case of deterministic algorithms, because the adversary
List_update_problem
Primality test for certain numbers
is based on the Lucas–Lehmer primality test. It is the fastest deterministic algorithm known for numbers of that form.[citation needed] For numbers of
Lucas–Lehmer–Riesel_test
Statistical method
can be interpreted as an outlier detection method. It is a non-deterministic algorithm in the sense that it produces a reasonable result only with a certain
Random_sample_consensus
Algorithm for public-key cryptography
Coppersmith (see Coppersmith's attack). Because RSA encryption is a deterministic encryption algorithm (i.e., has no random component) an attacker can successfully
RSA_cryptosystem
Cryptographic algorithm for digital signatures
(2013). RFC 6979 - Deterministic Usage of the Digital Signature Algorithm (DSA) and Elliptic Curve Digital Signature Algorithm (ECDSA) (Technical report)
Elliptic Curve Digital Signature Algorithm
Elliptic_Curve_Digital_Signature_Algorithm
Optimization method
have argued that randomization can only improve a deterministic algorithm if the deterministic algorithm was poorly designed in the first place. Fred W.
Stochastic_optimization
Algorithm for generating prime numbers
of Sundaram is a variant of the sieve of Eratosthenes, a simple deterministic algorithm for finding all the prime numbers up to a specified integer. It
Sieve_of_Sundaram
Process of selecting paths in a data communications network
it think some other path is better. A few routing algorithms do not use a deterministic algorithm to find the best link for a packet to get from its
Routing
Algorithm used in modular arithmetic
quadratic residue). The algorithm requires us to find a quadratic nonresidue z {\displaystyle z} . There is no known deterministic algorithm that runs in polynomial
Tonelli–Shanks_algorithm
Classification of algorithm
any known algorithm that can take an arbitrary number and tell if it is prime. In particular, it is provably polynomial-time, deterministic, and unconditionally
Galactic_algorithm
French computer scientist (born 1955)
heap data structure and the most asymptotically efficient known deterministic algorithm for finding minimum spanning trees. Chazelle was born in Clamart
Bernard_Chazelle
Algorithm that arranges lists in order
In computer science, a sorting algorithm is an algorithm that puts elements of a list into an order. The most frequently used orders are numerical order
Sorting_algorithm
Problem in computational complexity theory
models of computation (Erickson 1999). It was conjectured that any deterministic algorithm for the 3SUM requires Ω ( n 2 ) {\displaystyle \Omega (n^{2})}
3SUM
Type of cipher
In cryptography, a block cipher is a deterministic algorithm that operates on fixed-length groups of bits, called blocks. Block ciphers are the elementary
Block_cipher
Parser algorithm for languages
rightmost derivation parser) is an extension of an LR parser algorithm to handle non-deterministic and ambiguous grammars. The theoretical foundation was provided
GLR_parser
Probabilistic optimization technique and metaheuristic
and Salamon showed that the deterministic update strategy is indeed the optimal one within the large class of algorithms that simulate a random walk on
Simulated_annealing
Appearing random but actually being generated by a deterministic, causal process
despite being generated by a deterministic process. In many applications, the deterministic process is a computer algorithm called a pseudorandom number
Pseudorandomness
Process of non-randomly producing the same ciphertext for a given same plaintext and key
even over separate executions of the encryption algorithm. Examples of deterministic encryption algorithms include RSA cryptosystem (without encryption padding)
Deterministic_encryption
Algorithm to be run on quantum computers
The Deutsch–Jozsa algorithm solves a black-box problem that requires exponentially many queries to the black box for any deterministic classical computer
Quantum_algorithm
Unsolved problem in computer science
polynomial function on the size of the input to the algorithm. The general class of questions that some algorithm can answer in polynomial time is "P" or "class
P_versus_NP_problem
Type of randomized algorithm
Davis–Putnam algorithm for propositional satisfiability (SAT), also utilize non-deterministic decisions, and can thus also be considered Las Vegas algorithms. Las
Las_Vegas_algorithm
Set of edges without common vertices
Algorithms for this problem include: For general graphs, a deterministic algorithm in time O ( V E ) {\displaystyle O(VE)} and a randomized algorithm
Matching_(graph_theory)
Computational problem in graph theory
King, V.; Rao, S.; Tarjan, R. (1994). "A faster deterministic maximum flow algorithm". Journal of Algorithms. 17 (3): 447–474. doi:10.1006/jagm.1994.1044
Maximum_flow_problem
Measurement of computational complexity
approach is probabilistic analysis of algorithms. In most practical cases deterministic algorithms or randomized algorithms are discussed, although theoretical
Asymptotic computational complexity
Asymptotic_computational_complexity
Real-time networking effort
Deterministic Networking (DetNet) is an effort by the IETF DetNet Working Group to study implementation of deterministic data paths for real-time applications
Deterministic_Networking
Subset of languages in formal theory
In formal language theory, deterministic context-free languages (DCFL) are a proper subset of context-free languages. They are context-free languages
Deterministic context-free language
Deterministic_context-free_language
Problem of determining whether polynomials are identical
required for polynomial identity testing, in particular finding deterministic algorithms for PIT, is one of the most important open problems in algebraic
Polynomial_identity_testing
Field of mathematics and science based on non-linear systems and initial conditions
interdisciplinary area of scientific study. It focuses on underlying patterns and deterministic laws of dynamical systems that are highly sensitive to initial conditions
Chaos_theory
Algorithm for exact cover problem
is selected (deterministically): Step 3—Rows A and B each have a 1 in column 1 and thus are selected (nondeterministically). The algorithm moves to the
Knuth's_Algorithm_X
Program function without side effects
execution – The evaluation of pure functions at compile time Deterministic algorithm – Algorithm that, given a particular input, will always produce the same
Pure_function
Efficient algorithm to count points on elliptic curves
The algorithm was published by René Schoof in 1985 and it was a theoretical breakthrough, as it was the first deterministic polynomial time algorithm for
Schoof's_algorithm
non-constructive probabilistic existence proofs into efficient deterministic algorithms that explicitly construct the desired object. Often, the probabilistic
Method of conditional probabilities
Method_of_conditional_probabilities
Algorithm for linear programming
optimization, Dantzig's simplex algorithm (or simplex method) is an algorithm for linear programming. The name of the algorithm is derived from the concept
Simplex_algorithm
Task of transforming a deterministic finite automaton
computer science), DFA minimization is the task of transforming a given deterministic finite automaton (DFA) into an equivalent DFA that has a minimum number
DFA_minimization
Amount of resources to perform an algorithm
"polynomial time" and "non-deterministic polynomial time" as upper bounds. Simulating an NP-algorithm on a deterministic computer usually takes "exponential
Computational_complexity
Concept in computer science
FLP impossibility result by Fischer, Lynch and Paterson that a deterministic algorithm for achieving consensus is impossible. In an asynchronous model
Consensus_(computer_science)
Numerical technique
for simple examples, an improvement over deterministic algorithms can only be accomplished with algorithms that use problem-specific sampling distributions
Monte_Carlo_integration
Sorting algorithm
efficient algorithms. The algorithm's name is a portmanteau of the words bogus and sort. Two versions of this algorithm exist: a deterministic version that
Bogosort
NP-hard problem in combinatorial optimization
approximated within 4/3 by a deterministic algorithm and within ( 33 + ε ) / 25 {\displaystyle (33+\varepsilon )/25} by a randomized algorithm. The TSP, in particular
Travelling_salesman_problem
Topics referred to by the same term
Look up nondeterminism, non-determinism, nondeterministic, or non-deterministic in Wiktionary, the free dictionary. Nondeterminism or nondeterministic
Nondeterminism
Problem of determining if a Boolean formula could be made true
known algorithm that efficiently solves each SAT problem (where "efficiently" means "deterministically in polynomial time"). Although such an algorithm is
Boolean satisfiability problem
Boolean_satisfiability_problem
Controversial pseudorandom number generator
Dual_EC_DRBG (Dual Elliptic Curve Deterministic Random Bit Generator) is an algorithm that was presented as a cryptographically secure pseudorandom number
Dual_EC_DRBG
Use of randomness in key code generation
hunch that the plaintext might be "ATTACK AT CALAIS". When a deterministic encryption algorithm is used, the adversary can simply try encrypting each of their
Probabilistic_encryption
Used for encoding or decoding ciphertext
cryptographic algorithm for information security in some applications such as securing information in storage devices. Thus, a deterministic algorithm called
Key_(cryptography)
Algorithm to transform a regular expression into a finite automaton
respectively. The algorithm's steps are as follows: An equivalent minimal deterministic automaton is shown below. Thompson's is one of several algorithms for constructing
Thompson's_construction
Parsing related to computer science
processing, deterministic parsing refers to parsing algorithms that do not backtrack. LR-parsers are an example. (This meaning of the words "deterministic" and
Deterministic_parsing
Computation model defining an abstract machine
example, a Turing machine describing an algorithm may have a few hundred states, while the equivalent deterministic finite automaton (DFA) on a given real
Turing_machine
Largest integer that divides given integers
algorithms asymptotically faster than the Euclidean algorithm exist; the fastest known deterministic algorithm is by Chor and Goldreich, which (in the CRCW-PRAM
Greatest_common_divisor
Mathematical model of computation
a non-deterministic automaton, an input can lead to one, more than one, or no transition for a given state. The powerset construction algorithm can transform
Finite-state_machine
Probabilistic problem-solving algorithm
Stanisław Ulam. The underlying concept is to use randomness to solve deterministic problems. Monte Carlo methods are mainly used in three distinct problem
Monte_Carlo_method
Monte Carlo algorithm
It is a randomized algorithm (i.e. an algorithm that makes use of random numbers), and is an alternative to deterministic algorithms for statistical inference
Gibbs_sampling
Algorithm in graph theory
a graph, and is closely related to Kleene's algorithm (published in 1956) for converting a deterministic finite automaton into a regular expression, with
Floyd–Warshall_algorithm
Complexity class
R {\displaystyle R} is in FP if and only if there is a deterministic polynomial-time algorithm that, given x {\displaystyle x} , either finds some y {\displaystyle
FP_(complexity)
Computational complexity of quantum algorithms
the most efficient classical deterministic algorithm is 2 n − 1 + 1 {\displaystyle 2^{n-1}+1} . The Deutsch–Jozsa algorithm takes advantage of quantum parallelism
Quantum_complexity_theory
Algorithm characteristic in computations
distribution and a deterministic algorithm adapted to that distribution is the same thing as expected complexity for a fast randomized algorithm and its worst-case
Average-case_complexity
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DETERMINISTIC ALGORITHM
DETERMINISTIC ALGORITHM
DETERMINISTIC ALGORITHM
DETERMINISTIC ALGORITHM
DETERMINISTIC ALGORITHM
DETERMINISTIC ALGORITHM
DETERMINISTIC ALGORITHM
DETERMINISTIC ALGORITHM
DETERMINISTIC ALGORITHM
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