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Topics referred to by the same term
Algorithmic complexity may refer to: In algorithmic information theory, the complexity of a particular string in terms of all algorithms that generate
Algorithmic_complexity
Measure of algorithmic complexity
known as algorithmic complexity, Solomonoff–Kolmogorov–Chaitin complexity, program-size complexity, descriptive complexity, or algorithmic entropy. It
Kolmogorov_complexity
Estimate of time taken for running an algorithm
the input. Algorithmic complexities are classified according to the type of function appearing in the big O notation. For example, an algorithm with time
Time_complexity
Inherent difficulty of computational problems
in 1844. Before the actual research explicitly devoted to the complexity of algorithmic problems started off, numerous foundations were laid out by various
Computational complexity theory
Computational_complexity_theory
Measure of the level of consciousness
is then binarized and compressed using a lossless algorithm to estimate its algorithmic complexity. The PCI value is normalized to control for signal
Perturbational Complexity Index
Perturbational_Complexity_Index
Feature of systems that defy description
the Kolmogorov complexity (also called descriptive complexity, algorithmic complexity or algorithmic entropy) of a string is the length of the shortest
Complexity
An algorithmic complexity attack (ACA) is a form of attack in which an attacker sends a pattern of requests to a computer system that triggers the worst-case
Algorithmic_complexity_attack
Discrete Fourier transform algorithm
modern generic FFT algorithm. While Gauss's work predated even Joseph Fourier's 1822 results, he did not analyze the method's complexity, and eventually
Fast_Fourier_transform
Amount of resources to perform an algorithm
In computer science, the computational complexity or simply complexity of an algorithm is the amount of resources required to run it. Particular focus
Computational_complexity
Subfield of information theory and computer science
them: algorithmic complexity, algorithmic randomness, and algorithmic probability. Algorithmic information theory principally studies complexity measures
Algorithmic information theory
Algorithmic_information_theory
Type of computer science algorithm
manipulation algorithms such as trim and reverse may be done in-place. In computational complexity theory, the strict definition of in-place algorithms includes
In-place_algorithm
Algorithm that employs a degree of randomness as part of its logic or procedure
Computational complexity theory models randomized algorithms as probabilistic Turing machines. Both Las Vegas and Monte Carlo algorithms are considered
Randomized_algorithm
Algorithmic runtime requirements for matrix multiplication
fastest algorithm for matrix multiplication? More unsolved problems in computer science In theoretical computer science, the computational complexity of matrix
Computational complexity of matrix multiplication
Computational_complexity_of_matrix_multiplication
Transformation of one computational problem to another
In computability theory and computational complexity theory, a reduction is an algorithm for transforming one problem into another problem. A sufficiently
Reduction_(complexity)
Algorithmic runtime requirements for common math procedures
the computational complexity of various algorithms for common mathematical operations. Here, complexity refers to the time complexity of performing computations
Computational complexity of mathematical operations
Computational_complexity_of_mathematical_operations
Soviet-American mathematician
computing, algorithmic complexity and intractability, average-case complexity, foundations of mathematics and computer science, algorithmic probability
Leonid_Levin
Ancient algorithm for generating prime numbers
+1)^{2}>(k+1)\Delta } . If Δ is chosen to be √n, the space complexity of the algorithm is O(√n), while the time complexity is the same as that of the regular sieve. For
Sieve_of_Eratosthenes
Topics referred to by the same term
economic systems from an algorithmic point of view Algorithmic number theory, algorithms for number-theoretic computation Algorithmic game theory, game-theoretic
Algorithmic
List of unsolved computational problems
time algorithm? (This is problem #9 in Smale's list of problems.) How many queries are required for envy-free cake-cutting? What is the algorithmic complexity
List of unsolved problems in computer science
List_of_unsolved_problems_in_computer_science
Technological phenomenon with social implications
data is coded, collected, selected or used to train the algorithm. For example, algorithmic bias has been observed in search engine results and social
Algorithmic_bias
Branch of chemistry
cost and algorithmic complexity in chemistry are used to help understand and predict chemical phenomena. They help determine which algorithms/computational
Computational_chemistry
Exponential function of an exponential function
floor of a double exponential sequence plus a constant. In computational complexity theory, 2-EXPTIME is the class of decision problems solvable in double
Double_exponential_function
Algorithm to multiply two numbers
the Schönhage–Strassen algorithm, which makes use of a Fourier transform over a modulus, was discovered. It has a time complexity of O ( n log n log
Multiplication_algorithm
Study of resources used by an algorithm
computer science, the analysis of algorithms is the process of finding the computational complexity of algorithms—the amount of time, storage, or other
Analysis_of_algorithms
Solution of the traveling salesman problem
requirements by only a constant factor. The Held–Karp algorithm has exponential time complexity Θ ( 2 n n 2 ) {\displaystyle \Theta (2^{n}n^{2})} , significantly
Held–Karp_algorithm
Branch of computational complexity theory
complexity was fixed-parameter tractability. The parameterised complexity approach has led to the discover of a large number of new exact algorithmic
Parameterized_complexity
Mathematical method of assigning a prior probability to a given observation
In algorithmic information theory, algorithmic probability, also known as Solomonoff probability, is a mathematical method of assigning a prior probability
Algorithmic_probability
Process to create executable computer programs
a variety of well-established algorithms and their respective complexities and use this knowledge to choose algorithms that are best suited to the circumstances
Computer_programming
Hungarian-American mathematician and computer scientist
Hirschfeldt. Algorithmic randomness and complexity. Springer, 2010 Peter Gacs. On the relation between descriptional complexity and algorithmic probability
Peter_Gacs
Argentine-American mathematician
development of algorithmic information theory, and has been influential on metamathematics. He independently discovered what is today known as algorithmic (Kolmogorov
Gregory_Chaitin
Denial-of-service attack at XML parsers, exploiting entity expansion
countermeasures that detect heavily nested entities. (See computational complexity theory for comparisons of different growth classes.) A "billion laughs"
Billion_laughs_attack
Regular expression denial-of-service attack
A regular expression denial of service (ReDoS) is an algorithmic complexity attack that produces a denial-of-service by providing a regular expression
ReDoS
Class of problems solvable in polynomial time
computational complexity. It was published in 2001 that PTIME corresponds to (positive) range concatenation grammars. P can also be defined as an algorithmic complexity
P_(complexity)
Malicious archive file designed to disrupt the program or system reading it
possible output before terminating Email bomb Fork bomb Logic bomb Online algorithm, limit discovered rather than declared Time bomb (software) ReDoS Denial-of-service
Zip_bomb
Software engineering
bisectable patch candidate remains Bisection is in LSPACE having an algorithmic complexity of O ( log N ) {\displaystyle O(\log N)} with N {\displaystyle
Bisection (software engineering)
Bisection_(software_engineering)
Class of software bugs
single-stepping a victim program include file system mazes and algorithmic complexity attacks. In both cases, the attacker manipulates the OS state to
Time-of-check_to_time-of-use
science, hardness of approximation is a field that studies the algorithmic complexity of finding near-optimal solutions to optimization problems. Hardness
Hardness_of_approximation
Subset of evolutionary computation
direct link between algorithm complexity and problem complexity. The following is an example of a generic evolutionary algorithm: Randomly generate the
Evolutionary_algorithm
Computer memory needed by an algorithm
The space complexity of an algorithm or a data structure is the amount of memory space required to solve an instance of the computational problem as a
Space_complexity
Measurement of computational complexity
computational resources, asymptotic time complexity and asymptotic space complexity of computational algorithms and programs are commonly estimated. Other
Asymptotic computational complexity
Asymptotic_computational_complexity
Recursive algorithm for matrix multiplication
asymptotic complexity ( O ( n log 2 7 ) {\displaystyle O(n^{\log _{2}7})} versus O ( n 3 ) {\displaystyle O(n^{3})} ), although the naive algorithm is often
Strassen_algorithm
Concept in computer science
In computational complexity theory, a branch of computer science, bounded-error probabilistic polynomial time (BPP) is the class of decision problems solvable
BPP_(complexity)
Computational complexity class of problems
quantum analogue to the complexity class BPP. A decision problem is a member of BQP if there exists a quantum algorithm (an algorithm that runs on a quantum
BQP
Complexity class used to classify decision problems
phase consists of a deterministic algorithm that verifies whether the guess is a solution to the problem. The complexity class P (all problems solvable,
NP_(complexity)
Method of executing orders
simple retail tools. Algorithmic trading is widely used in equities, futures, crypto, and foreign exchange markets. The term algorithmic trading is often
Algorithmic_trading
Classification of algorithm
they never occur, or the algorithm's complexity outweighs a relatively small gain in real-world performance. Galactic algorithms were so named by Richard
Galactic_algorithm
Unsolved problem in computer science
either an algorithm to obtain it or a specific bound. Even if the proof is constructive, showing an explicit bounding polynomial and algorithmic details
P_versus_NP_problem
Study of algorithms in strategic environments
address challenges that emerge when algorithmic inputs come from self-interested participants. In traditional algorithm design, inputs are assumed to be
Algorithmic_game_theory
Algorithm used for pathfinding and graph traversal
time and space complexity in the worst case. The space complexity of A* is roughly the same as that of all other graph search algorithms, as it keeps all
A*_search_algorithm
Algorithm that arranges lists in order
perhaps due to the complexity of solving it efficiently despite its simple, familiar statement. Among the authors of early sorting algorithms around 1951 was
Sorting_algorithm
Method for algorithm analysis in computer science
computer science, amortized analysis is a method for analyzing a given algorithm's complexity, or how much of a resource, especially time or memory, it takes
Amortized_analysis
Subfield of computational complexity theory
gives no way to distinguish between polynomial algorithms of different exponents. Fine-grained complexity addresses this by mimicking NP-completeness at
Fine_grained_complexity
Algorithmic complexity class
In computational complexity theory, the complexity class EXPTIME (sometimes called EXP or DEXPTIME) is the set of all decision problems that are solvable
EXPTIME
Class of problems in computer science
probabilistic polynomial time. The complexity class was defined by Gill in 1977. If a decision problem is in PP, then there is an algorithm running in polynomial time
PP_(complexity)
Intersection graph of a chord diagram
M. R.; Johnson, D. S.; Miller, G. L.; Papadimitriou, C. (1980), "The complexity of coloring circular arcs and chords", SIAM Journal on Algebraic and Discrete
Circle_graph
Overview of and topical guide to algorithms
Latinized name is associated with the word algorithm Algorithmic logic — logic-based study of programs and algorithms Computability theory — study of what can
Outline_of_algorithms
Quantum algorithm
in a function. The Bernstein–Vazirani algorithm was designed to prove an oracle separation between complexity classes BQP and BPP. Given an oracle that
Bernstein–Vazirani_algorithm
Algorithm to be run on quantum computers
demonstrably superior using quantum algorithms. In 2015, investigation predicted the sampling problem had similar complexity for inputs other than Fock-state
Quantum_algorithm
Sequence of operations for a task
aversion Algorithm engineering Algorithm characterizations Algorithmic bias Algorithmic composition Algorithmic entities Algorithmic synthesis Algorithmic technique
Algorithm
Problem in computer science
known to have efficient quantum algorithms. The problem is set in the model of decision tree complexity or query complexity and was conceived by Daniel R
Simon's_problem
Subfield of computer science and mathematics
information theory are source coding, channel coding, algorithmic complexity theory, algorithmic information theory, information-theoretic security, and
Theoretical_computer_science
Attribute of machine learning models
The sample complexity of a machine learning algorithm represents the number of training-samples that it needs in order to successfully learn a target function
Sample_complexity
Yes-or-no question that cannot ever be solved by a computer
computational complexity theory, an undecidable problem is a decision problem for which it is proved to be impossible to construct an algorithm that always
Undecidable_problem
Measures of how efficiently algorithms use resources
online algorithms are frequently based on amortized analysis. The worst-case analysis is related to the worst-case complexity. Many algorithms with bad
Best,_worst_and_average_case
Complexity class of approximable problems
In computational complexity theory, the class APX (an abbreviation of "approximable") is the set of NP optimization problems that allow polynomial-time
APX
Upper bound on resources required by an algorithm
(specifically computational complexity theory), the worst-case complexity measures the resources (e.g. running time, memory) that an algorithm requires given an
Worst-case_complexity
Data structure for storing non-overlapping sets
the algorithm's time complexity. He also proved it to be tight. In 1979, he showed that this was the lower bound for a certain class of algorithms, pointer
Disjoint-set_data_structure
Metric temporal logic (MTL) is a special case of temporal logic. It is an extension of temporal logic in which temporal operators are replaced by time-constrained
Metric_temporal_logic
Optimality criterion in phylogeny
(4): 581–587. doi:10.1093/sysbio/42.4.581. Day WH (1987). "Computational complexity of inferring phylogenies from dissimilarity matrices". Bulletin of Mathematical
Maximum_parsimony
Quantum algorithm for integer factorization
multiplication algorithm currently known due to Harvey and van der Hoeven, thus demonstrating that the integer factorization problem is in complexity class BQP
Shor's_algorithm
String-searching algorithm
version of the algorithm in which the search string set can be incrementally extended during the search, retaining the algorithmic complexity of the original
Aho–Corasick_algorithm
Algorithm to multiply matrices
asymptotic complexity of a matrix multiplication algorithm is O(n2.371339) time, given by Alman, Duan, Williams, Xu, Xu, and Zhou. However, this algorithm is
Matrix multiplication algorithm
Matrix_multiplication_algorithm
Binary sequence
algorithmic randomness test, then it is algorithmically compressible. Conversely, if it is algorithmically compressible, then it fails an algorithmic
Algorithmically random sequence
Algorithmically_random_sequence
Algorithm characteristic in computations
computational complexity theory, the average-case complexity of an algorithm is the amount of some computational resource (typically time) used by the algorithm, averaged
Average-case_complexity
Slope One is a family of algorithms used for collaborative filtering, introduced in a 2005 paper by Daniel Lemire and Anna Maclachlan. Arguably, it is
Slope_One
Hash functions
Scott A.; Wallach, Dan S. (2003-08-06). Denial of Service via Algorithmic Complexity Attacks. Usenix Security Symposium. Washington, D.C. Aumasson, Jean-Philippe
SipHash
In analysis of algorithms, probabilistic analysis of algorithms is an approach to estimate the computational complexity of an algorithm or a computational
Probabilistic analysis of algorithms
Probabilistic_analysis_of_algorithms
Measure of similarity and diversity between sets
hashing are used to approximate the index using compact signatures. These algorithmic enhancements ensure that similarity measures remain scalable and efficient
Jaccard_index
Randomized polynomial time class of computational complexity theory
In computational complexity theory, randomized polynomial time (RP) is the complexity class of decision problems for which a probabilistic Turing machine
RP_(complexity)
Definable number Halting probability Algorithmic information theory Algorithmic probability Data compression Advice (complexity) Amortized analysis Arthur–Merlin
List of computability and complexity topics
List_of_computability_and_complexity_topics
List of quantum computing algorithms
algorithms, including algorithms, algorithmic techniques, computational models, and problem frameworks used in quantum computing. A quantum algorithm
List_of_quantum_algorithms
Theory that characterizes object complexity
theory provides no insights beyond those already available using algorithmic complexity and Claude Shannon's information theory. List of interstellar and
Assembly_theory
Algorithm for finding shortest paths
paper is that you are almost forced to avoid all avoidable complexities. Eventually, that algorithm became to my great amazement, one of the cornerstones of
Dijkstra's_algorithm
Concept in computational complexity theory
polynomial time with methods such as the Christofides algorithm. Oded Goldreich (2008), Computational complexity: a conceptual perspective, Cambridge University
Cobham's_thesis
Notion in combinatorial game theory
Combinatorial game theory measures game complexity in several ways: State-space complexity (the number of legal game positions from the initial position)
Game_complexity
Facts provided or learned about something or someone
sub-fields of information theory include source coding, algorithmic complexity theory, algorithmic information theory, and information-theoretic security
Information
Algorithm analysis method
computer science, smoothed analysis is a way of measuring the complexity of an algorithm. Since its introduction in 2001, smoothed analysis has been used
Smoothed_analysis
Quantum algorithm
\Omega (n^{1/3})} in the black box model. The algorithm can be generalized to r-to-1 function with a complexity of O ( ( n r ) 1 / 3 ) {\displaystyle O\left(\left({\frac
BHT_algorithm
kinds of complexity are closely related: If P has facet complexity at most f, then P has vertex complexity at most 4 n2 f. If P has vertex complexity at most
N-dimensional_polyhedron
Measure of complexity regarding algorithmic entropy
In algorithmic information theory, sophistication is a measure of complexity related to algorithmic entropy. When K is the Kolmogorov complexity and c
Sophistication (complexity theory)
Sophistication_(complexity_theory)
Method for finding minimum spanning trees
asymptotic time complexity, these three algorithms are equally fast for sparse graphs, but slower than other more sophisticated algorithms. However, for
Prim's_algorithm
Computer science professor
at the University of North Carolina at Charlotte specialized in algorithmic complexity and cryptography. He is the inventor of IEEE P1363 cryptographic
Yongge_Wang
Computational complexity of quantum algorithms
Quantum complexity theory is the subfield of computational complexity theory that deals with complexity classes defined using quantum computers, a computational
Quantum_complexity_theory
Fast approximate median algorithm
complexity of quickselect reduces from quadratic to linear, which is also the asymptotically optimal worst-case complexity of any selection algorithm
Median_of_medians
Non-comparative lexicographical sorting algorithm
Batcher's bitonic merge sort has an algorithmic complexity of O(log2(n)), all of which have a lower algorithmic time complexity to radix sort on a CREW-PRAM
Radix_sort
Unsolved problem in computational complexity theory
Distribution Algorithms", Ph. D., 2002, Chapter 2:The graph matching problem (retrieved June 28, 2017) "Mathematician claims breakthrough in complexity theory"
Graph_isomorphism_problem
Quantum search algorithm
related to the search algorithm. This separation usually prevents algorithmic optimizations, whereas conventional search algorithms often rely on such optimizations
Grover's_algorithm
Computer hardware technology that uses quantum mechanics
large language models and evolutionary algorithms, has been described as a coding agent for scientific and algorithmic discovery. In quantum-computing research
Quantum_computing
Any algorithm which solves the search problem
keys to records based on a hash function. Algorithms are often evaluated by their computational complexity, or maximum theoretical run time. Binary search
Search_algorithm
Algorithm in mathematical optimization
O(V 2√E) time complexity and is generally regarded as the benchmark for maximum flow algorithms. Subcubic O(VElog(V 2/E)) time complexity can be achieved
Push–relabel maximum flow algorithm
Push–relabel_maximum_flow_algorithm
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ALGORITHMIC COMPLEXITY
ALGORITHMIC COMPLEXITY
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