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Information-based complexity (IBC) studies optimal algorithms and computational complexity for the continuous problems that arise in physical science,
Information-based_complexity
Subfield of computer science and mathematics
computational complexity, parallel and distributed computation, probabilistic computation, quantum computation, automata theory, information theory, cryptography
Theoretical_computer_science
Information-theoretic measure of complexity
Information fluctuation complexity is an information-theoretic quantity defined as the fluctuation of information about entropy. It is derivable from
Information fluctuation complexity
Information_fluctuation_complexity
Measure of algorithmic complexity
In algorithmic information theory (a subfield of computer science and mathematics), the Kolmogorov complexity of an object, such as a piece of text, is
Kolmogorov_complexity
Measure of the level of consciousness
Perturbational Complexity Index (PCI) is a quantitative measure used in neuroscience to assess the level of consciousness based on the complexity of brain responses
Perturbational Complexity Index
Perturbational_Complexity_Index
American computer scientist
Henryk Woźniakowski on computational complexity applied to continuous scientific problems (information-based complexity). He collaborated in creating significant
Joseph_F._Traub
Complexity of sending information in a distributed algorithm
In theoretical computer science, communication complexity studies the amount of communication required to solve a problem when the input to the problem
Communication_complexity
Feature of systems that defy description
Complexity characterizes the behavior of a system or model whose components interact in multiple ways and follow local rules, leading to non-linearity
Complexity
Inherent difficulty of computational problems
approach to complexity theory of numerical analysis is information based complexity. Continuous complexity theory can also refer to complexity theory of
Computational complexity theory
Computational_complexity_theory
Soviet and Russian mathematician (1934–2005)
setting. These can be considered early results in the theory of information-based complexity. Bakhvalov was one of the pioneers of the multigrid method, contributed
Nikolai_Bakhvalov
Optimization algorithm
S2CID 207055414. Drori, Yoel (2017). "The Exact Information-based Complexity of Smooth Convex Minimization". Journal of Complexity. 39: 1–16. arXiv:1606.01424. doi:10
Gradient_descent
Topics referred to by the same term
Control, information returned by the CPUID instruction for the Intel Pentium and successors Inflammatory breast cancer Information-based complexity Intermediate
IBC
Set of problems in computational complexity theory
In computational complexity theory, a complexity class is a set of computational problems "of related resource-based complexity". The two most commonly
Complexity_class
Estimate of time taken for running an algorithm
the time complexity is the computational complexity that describes the amount of computer time it takes to run an algorithm. Time complexity is commonly
Time_complexity
S2CID 85554456. Packel, Edward W.; Traub, Joseph F. (1987). "Information-based complexity". Nature. 328 (6125): 29–33. Bibcode:1987Natur.328...29P. doi:10
Edward_W._Packel
Facts provided or learned about something or someone
theory include source coding, algorithmic complexity theory, algorithmic information theory, and information-theoretic security.[citation needed] Applications
Information
Framework for scoring a behavior's complexity
order of hierarchical complexity of a task based on mathematical principles of how the information is organized, in terms of information science. This model
Model of hierarchical complexity
Model_of_hierarchical_complexity
Subfield of information theory and computer science
There are several variants of Kolmogorov complexity or algorithmic information; the most widely used one is based on self-delimiting programs and is mainly
Algorithmic information theory
Algorithmic_information_theory
Complexity measure in computer science
this complexity measure is the starting point for some algorithms for lossless data compression, like LZ77, LZ78 and LZW. Even though it is based on an
Lempel–Ziv_complexity
System composed of many interacting components
(2013). Chaos in the Cosmos: the Stunning Complexity of the Universe. Springer. Bekenstein, J. D. (2003). Information in the holographic universe, Scientific
Complex_system
Measure in information theory
Logical depth is a measure of complexity for individual strings devised by Charles H. Bennett based on the computational complexity of an algorithm that can
Logical_depth
Creationist argument by William Dembski
Specified complexity is a creationist intelligent design argument introduced by William Dembski. According to Dembski, the concept can formalize a property
Specified_complexity
Computational complexity of quantum algorithms
computational model based on quantum mechanics. It studies the hardness of computational problems in relation to these complexity classes, as well as
Quantum_complexity_theory
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
Taiwanese-born New Zealand mathematician
dimensional integration and approximation, Monte-Carlo methods and information-based complexity" and her interest in "applications in finance, statistics and
Frances_Kuo
Argumentation scheme
The issue-based information system (IBIS) is an argumentation-based approach to clarifying wicked problems—complex, ill-defined problems that involve
Issue-based information system
Issue-based_information_system
Study of resources used by an algorithm
Analysis of parallel algorithms Asymptotic computational complexity Information-based complexity Master theorem (analysis of algorithms) NP-completeness
Analysis_of_algorithms
Creationism advocacy organization
The International Society for Complexity, Information, and Design (ISCID) was a creationism advocacy organization that described itself as "a cross-disciplinary
International Society for Complexity, Information, and Design
International_Society_for_Complexity,_Information,_and_Design
Complexity class used to classify decision problems
problems in computer science In computational complexity theory, NP (nondeterministic polynomial time) is a complexity class used to classify decision problems
NP_(complexity)
Information system used for organizational decision-making and coordination
integration complexity have contributed to project failures. Studies have shown that a significant percentage of large-scale information systems projects
Management_information_system
Process of using data analysis for predicting population data from sample data
Traub, Joseph F.; Wasilkowski, G. W.; Wozniakowski, H. (1988). Information-Based Complexity. Academic Press. ISBN 978-0-12-697545-1. Zabell, S. L. (Aug 1992)
Statistical_inference
(1983). Problem Complexity and Method Efficiency in Optimization. John Wiley and Sons. Nemirovski, Arkadi (1994). "Information-Based Complexity of Convex Programming
Oracle complexity (optimization)
Oracle_complexity_(optimization)
Subset of evolutionary computation
processes) and planning models based upon cellular processes. In most real applications of EAs, computational complexity is a prohibiting factor. In fact
Evolutionary_algorithm
Computational complexity class of problems
In computational complexity theory, bounded-error quantum polynomial time (BQP) is the class of decision problems solvable by a quantum computer in polynomial
BQP
Information content of biological systems
Configurations are preferentially selected based on function. Subsequently, the authors proposed that the functional information of a system will increase (i.e.
Functional_information
Average uncertainty in variable's states
Fisher information Graph entropy Hamming distance History of entropy History of information theory Information fluctuation complexity Information geometry
Entropy_(information_theory)
Machine learning and applied statistics
for understanding it can be found in information-based complexity (IBC), the branch of computational complexity founded on the observation that numerical
Probabilistic_numerics
Scientific study of digital information
Kolmogorov complexity List of unsolved problems in information theory Logic of information Network coding Philosophy of information Quantum information science
Information_theory
Application of complexity science to economics
Complexity economics, or economic complexity, is the application of complexity science to the problems of economics. It relaxes several common assumptions
Complexity_economics
Mathematical method of assigning a prior probability to a given observation
Algorithmic information theory Bayesian inference Inductive inference Inductive probability Kolmogorov complexity Universal Turing machine Information-based complexity
Algorithmic_probability
American computer scientist (born 1981)
Care About Computational Complexity". Since then, Aaronson published a book entitled Quantum Computing Since Democritus based on the course. An article
Scott_Aaronson
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)
Unsolved problem in computational complexity theory
time nor to be NP-complete, and therefore may be in the computational complexity class NP-intermediate. It is known that the graph isomorphism problem
Graph_isomorphism_problem
American mathematical statistician and mycologist (1924-1981)
Hoeffding's independence test Strong subadditivity of quantum entropy Information-based complexity Bechhofer 1982; O'Connor & Robertson 2004. "2 Professors Are
Jack_Kiefer_(statistician)
Pedagogical approach
Task-based language teaching (TBLT), also known as task-based instruction (TBI), focuses on the use of authentic language to complete meaningful tasks
Task-based_language_teaching
Complexity class
computational complexity theory, the class QIP (which stands for Quantum Interactive Proof) is the quantum computing analogue of the classical complexity class
QIP_(complexity)
System whose behavior is not automatically predictable from its parts
or complexity science, is often used to describe the loosely organized academic field that has grown up around the study of such systems. Complexity science
Complex_adaptive_system
Theorem in computational complexity theory
computational complexity theory, the PCP theorem (also known as the PCP characterization theorem) states that every decision problem in the NP complexity class
PCP_theorem
when given reasonably complete information about the project system. With a lens of systems thinking, project complexity can be defined as an intricate
Project_complexity
Conceptual framework
sociology, social complexity is a conceptual framework used in the analysis of society. In the sciences, contemporary definitions of complexity are found in
Social_complexity
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
Industrial shift to information technology
applications, and the Phillips Machine for economic modeling. Building on the complexity of the Z1 and Z2, German inventor Konrad Zuse used electromechanical systems
Information_Age
Measure of dependence between two variables
partitions of a set. Using the ideas of Kolmogorov complexity, one can consider the mutual information of two sequences independent of any probability distribution:
Mutual_information
British applied mathematician (1932–2026)
Parlett, Beresford N. (1992). "Some basic information on information-based complexity theory". Bulletin of the American Mathematical Society
Beresford_Parlett
Attribute of a software system
cyclomatic complexity metric Halstead's software science metrics Henry and Kafura introduced "Software Structure Metrics Based on Information Flow" in 1981
Programming_complexity
Classification system in education
three broad domains: cognitive (knowledge-based), affective (emotion-based), and psychomotor (action-based), each with a hierarchy of skills and abilities
Bloom's_taxonomy
Protection of computer systems from information disclosure, theft or damage
life, cybersecurity has emerged as a critical concern. The complexity of modern information systems—and the societal functions they underpin—has introduced
Computer_security
Access control paradigm
Attribute-based access control (ABAC), also known as policy-based access control for IAM, defines an access control paradigm whereby a subject's authorization
Attribute-based access control
Attribute-based_access_control
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
Volatility, uncertainty, complexity and ambiguity in leadership
acronym based on the leadership theories of Warren Bennis and Burt Nanus, to describe or to reflect on the volatility, uncertainty, complexity and ambiguity
VUCA
Notion in statistics
the manifold of thermodynamic states, and can be used as an information-geometric complexity measure for a classification of phase transitions, e.g., the
Fisher_information
Field in logic and theoretical computer science
science, and specifically proof theory and computational complexity theory, proof complexity is the field aiming to understand and analyse the computational
Proof_complexity
Practice of leading the work of a team to achieve goals and criteria at a specified time
tasks) into seven basic levels of project complexity based on such criteria as time-span of discretion and complexity of a project's output: Level 1 Project
Project_management
Theory within consciousness research
"Computational and Neuroscientific Objections to Integrated Information Theory". BIO-Complexity. 26 (2): 1–7. doi:10.5048/BIO-C.2026.2 – via SciSpace. Fleming
Integrated_information_theory
Argument by proponents of intelligent design
Irreducible complexity (IC) is the argument that certain biological systems with multiple interacting parts would not function if one of the parts were
Irreducible_complexity
Interpretation of sensory information
people put "together the information contained in" a target and a situation to form "perceptions of ourselves and others based on social categories." This
Perception
Application of complexity theory to strategy
Complexity theory and organizations, also called complexity strategy or complex adaptive organizations, is the use of the study of complexity systems
Complexity theory and organizations
Complexity_theory_and_organizations
Process for digital management of built assets
Building information modeling (BIM) is an approach involving the generation and management of digital representations of the physical and functional characteristics
Building_information_modeling
Integration and Computational Mechanics Graph Theory and Combinatorics Information-based Complexity Learning Theory Multiresolution and Adaptivity in Numerical PDE's
Foundations of Computational Mathematics
Foundations_of_Computational_Mathematics
Information retrieval using cryptography
complexity. The security of their system is based on the phi-hiding assumption. In 2004, Helger Lipmaa achieved log-squared communication complexity O
Private_information_retrieval
Activity of jumping from fixed objects using a parachute
Mar 15, 2026. "Tandem BASE Jumping". Jump Bridge Day. Retrieved Mar 15, 2026. Sohn, Tim (May 22, 2015). "Capturing the Complexity of a Free-Falling Obsession"
BASE_jumping
Alexander Simoes and Dave Landry. Inspired by The Observatory of Economic Complexity, DataViva is an open data, open-source, and free to use tool. It was developed
DataViva
Machine-learning and computational-neuroscience conference
The Conference on Neural Information Processing Systems (abbreviated as NeurIPS and formerly NIPS) is a machine learning and computational neuroscience
Conference on Neural Information Processing Systems
Conference_on_Neural_Information_Processing_Systems
Experimental technology level
overwhelms the signal. This constraint severely limits the depth and complexity of algorithms that can be successfully implemented on current hardware
Noisy intermediate-scale quantum computing
Noisy_intermediate-scale_quantum_computing
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
1977 scholarly article by Donald Knuth
"The Complexity of Songs" is a scholarly article by computer scientist Donald Knuth published in 1977 as an in-joke about computational complexity theory
The_Complexity_of_Songs
Quantum Merlin Arthur
abbreviation for Quantum Merlin Arthur, refers to a complexity class in computational complexity theory. It is the set of all formal languages that satisfy
QMA
Decision making with too much information
He states that when a decision-maker is given many sets of information, such as complexity, quantity, and contradiction, the quality of its decision is
Information_overload
Global computing organization
of information-processing terminology but was later disbanded. The working groups of the current TC1 are: WG 1.1 Continuous Algorithms and Complexity WG
International Federation for Information Processing
International_Federation_for_Information_Processing
Model of computational complexity
In computational complexity theory, the decision tree model is the model of computation in which an algorithm can be considered to be a decision tree,
Decision_tree_model
Off-blockchain source of input data for smart contracts
trusted information based on the outside-world sources to the on-blockchain smart contracts. An oracle typically encapsulates the real-world complexity outside
Blockchain_oracle
Chilean-Spanish-American physicist, author and entrepreneur
expanded economic complexity beyond trade. For example, services have been incorporated into complexity measures and shown to add information relevant for
César_Hidalgo
Estimator for quality of a statistical model
from an information-theoretic perspective, treating it as a compression problem. Each of these methods has advantages depending on model complexity, sample
Akaike_information_criterion
Messages to deter human intrusion at nuclear waste repositories in the far future
comprise four levels of increasing complexity: Rudimentary information: "Something man-made is here" Cautionary information: "Something man-made is here and
Long-term nuclear waste warning messages
Long-term_nuclear_waste_warning_messages
Defines whether uppercase and lowercase letters are treated as distinct
as case-insensitive to make them easier to remember, reducing typing complexity, and eliminate the possibility of both mistakes and fraud when two usernames
Case_sensitivity
Computation complexity problem
In quantum information, the hidden matching problem is a computational complexity problem that can be solved using quantum protocols: Let n {\displaystyle
Hidden_matching_problem
Quantum algorithm
Bernstein–Vazirani algorithm was designed to prove an oracle separation between complexity classes BQP and BPP. Given an oracle that implements a function f : {
Bernstein–Vazirani_algorithm
Computer hardware technology that uses quantum mechanics
(2009). Computational Complexity: A Modern Approach. Cambridge University Press. pp. 123–125. Bennett, Charlie (31 July 2020). Information Is Quantum: How Physics
Quantum_computing
list of the largest trading partners of Russia based on data from The Observatory of Economic Complexity (OEC). Economy of Russia List of the largest trading
List of the largest trading partners of Russia
List_of_the_largest_trading_partners_of_Russia
Complexity class
In computational complexity theory, the complexity class #P (pronounced "sharp P" or, sometimes "number P" or "hash P") is the set of the counting problems
♯P
Discipline for achieving objectives against unpredictability, complexity, and ambiguity
strategy based on a "theory of the business" or natural extension of the mindset or ideological perspective of the organization. Complexity theorists
Strategy
Computational benchmark
quantum information is a generalization of classical information, quantum computers can simulate any classical algorithm. Quantum complexity classes are
Quantum_supremacy
Set of problems solved by small circuits
computational complexity theory, P/poly is a complexity class that can be defined in both circuit complexity and non-uniform complexity. Since the two
P/poly
American mathematician (1916–2001)
and inventor known as the "father of information theory", and the man who laid the foundations of the Information Age. Shannon was among the first to describe
Claude_Shannon
Concept of art that can be described by a computer program
Low-complexity art was described by Jürgen Schmidhuber in 1997, defined as art that can be described by a short computer program (that is, a computer program
Low-complexity_art
Boolean satisfiability is NP-complete and therefore that NP-complete problems exist
In computational complexity theory, the Cook–Levin theorem, also known as Cook's theorem, states that the Boolean satisfiability problem is NP-complete
Cook–Levin_theorem
Sociotechnical infrastructure for centralized and digital health care management
A hospital information system (HIS) is an element of health informatics that primarily addresses the administrative and operational needs of hospitals
Hospital_information_system
Military aircraft designed specifically for operations from aircraft carriers
A carrier-based aircraft (also known as carrier-capable aircraft, carrier-borne aircraft, carrier aircraft or aeronaval aircraft) is a navalised aircraft
Carrier-based_aircraft
Management of personal data across media
trustworthiness of the website than before. One possible issue is length and complexity of policies. According to a 2008 Carnegie Mellon study, the average length
Privacy_policy
Mathematics award
mathematical aspects of information sciences including: All mathematical aspects of computer science, including computational complexity theory, logic of programming
IMU_Abacus_Medal
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