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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
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
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
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
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
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
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
American computer scientist
Henryk Woźniakowski on computational complexity applied to continuous scientific problems (information-based complexity). He collaborated in creating significant
Joseph_F._Traub
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
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
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
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
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
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
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
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
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
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
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
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
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
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)
Complexity measure in computer science
The Lempel–Ziv complexity is a measure that was first presented in the article On the Complexity of Finite Sequences (IEEE Trans. On IT-22,1 1976), by
Lempel–Ziv_complexity
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
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
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
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
Statistical distance measure
probability distributions. It is also known as information radius (IRad) or total divergence to the average. It is based on the Kullback–Leibler divergence, with
Jensen–Shannon_divergence
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
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)
Study of resources used by an algorithm
Analysis of parallel algorithms Asymptotic computational complexity Information-based complexity Master theorem (analysis of algorithms) NP-complete Numerical
Analysis_of_algorithms
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 International
IBC
Collection of loosely coupled services used to build computer applications
modularity, scalability, and adaptability. However, it introduces additional complexity, particularly in managing distributed systems and inter-service communication
Microservices
Information content of biological systems
evolution". Reuters. Retrieved 2025-04-15. Entropy and life Second law of thermodynamics Specified complexity, a creationist pseudoscientific concept v t e
Functional_information
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
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
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
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)
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
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
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
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
(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)
Process for digital management of built assets
potential to improve management and delivery of projects of any size or complexity. In June 2016, McKinsey & Company identified 5D BIM technology as one
Building_information_modeling
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)
University of Texas at Austin. His primary areas of research are computational complexity theory and quantum computing. Aaronson grew up in the United States, though
Scott_Aaronson
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)
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
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
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
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
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
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
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
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
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
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
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
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
Cuban astrophysicist (born 1963)
design movement, and a fellow with the International Society for Complexity, Information and Design, which also promotes intelligent design. Gonzalez obtained
Guillermo Gonzalez (astronomer)
Guillermo_Gonzalez_(astronomer)
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
Communication theory
Applying this to Weick's organizational information theory, organizations must work to reduce ambiguity and complexity in the workplace to maximize cohesiveness
Organizational information theory
Organizational_information_theory
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
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
Implicit computational complexity (ICC) is a subfield of computational complexity theory that characterizes programs by constraints on the way in which
Implicit computational complexity
Implicit_computational_complexity
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
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
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
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
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
American professor
in communications of the now-defunct International Society for Complexity, Information, and Design (ISCID), whose tagline was "retraining the scientific
John_Angus_Campbell
French philosopher and sociologist (1921–2026)
philosopher and sociologist of the theory of information who has been recognised for his work on complexity and Complex Thought, and for his scholarly contributions
Edgar_Morin
Discrete Fourier transform algorithm
of sparse (mostly zero) factors. As a result, it manages to reduce the complexity of computing the DFT from O ( n 2 ) {\textstyle O(n^{2})} , which arises
Fast_Fourier_transform
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)
Continuous (non-quantized) quantities in quantum information science
Woźniakowski, H (2005). "Classical and Quantum Complexity of the Sturm–Liouville Eigenvalue Problem". Quantum Information Processing. 4 (2): 87–127. arXiv:quant-ph/0502054
Continuous-variable quantum information
Continuous-variable_quantum_information
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
extension of Kolmogorov complexity. The Kolmogorov complexity of a single finite object is the information in that object; the information distance between a
Information_distance
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
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
Interdisciplinary theory behind quantum computing
quantum communication Quantum communication complexity Quantum entanglement, as seen from an information-theoretic point of view Quantum dense coding
Quantum_information_science
Property of computational resources needed
In quantum information theory, magic is a property that quantifies the computational resources needed to describe quantum states beyond stabilizer states
Magic_(quantum_information)
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
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
Cryptographic primitives that involve lattices
reduction arguments from hard problems—based on recommended parameter sizes, standard estimates of the computational complexity of the hard problems, and detailed
Lattice-based_cryptography
Austrian nonprofit research organization
The Complexity Science Hub Vienna (CSH) is a Vienna-based research organisation with the aim to bundle, coordinate and advance the research of complex
Complexity_Science_Hub
Measure of dependence
; Plumbley, Mark D. (2010). "A measure of statistical complexity based on predictive information". arXiv:1012.1890v1 [math.ST]. Varley, Thomas F.; Pope
Dual_total_correlation
Type of error correcting code
In information theory, polar codes are a linear block error-correcting codes. The code construction is based on a multiple recursive concatenation of
Polar_code_(coding_theory)
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
Existential second order logic captures NP
descriptive complexity theory, a branch of computational complexity theory that characterizes complexity classes in terms of logic-based descriptions
Fagin's_theorem
Concept in physics
information theory and we should try to identify and decode possible bit strings hidden in the noise." Gurzadyan, V.G. (2005). "Kolmogorov Complexity
Information_panspermia
Mathematical statistics distance measure
Fraundorf, P. (2007). "Thermal roots of correlation-based complexity". Complexity. 13 (3): 18–26. arXiv:1103.2481. Bibcode:2008Cmplx..13c..18F
Kullback–Leibler_divergence
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
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
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
Approach to generating value
rationales of human capital-based economies: An educated and skilled labour force is required to establish a strong knowledge-based economy where workers continuously
Knowledge_economy
Quantity in information theory
See above for detailed examples. Kolmogorov complexity Surprisal analysis Jones, D.S., Elementary Information Theory, Vol., Clarendon Press, Oxford pp 11–15
Information_content
INFORMATION BASED-COMPLEXITY
INFORMATION BASED-COMPLEXITY
Girl/Female
Gujarati, Hindu, Indian, Telugu
Information
Boy/Male
Arabic, Australian
Smiling
Girl/Female
Indian, Telugu
Good Information
Girl/Female
Indian, Marathi
Information; News
Girl/Female
Indian
Knowledge; Information; Experience; Thought
Girl/Female
Indian, Tamil
Formation of Stars
Girl/Female
British, English
Based
Boy/Male
Indian
Base
Boy/Male
Hindu, Indian, Sanskrit
Address; Information
Male
Egyptian
, the father of Hor-imhotep.
Boy/Male
Arabic, French, Hindu, Indian, Marathi, Muslim, Sindhi
Joy; Solved; Based
Boy/Male
Muslim
Smiling
Boy/Male
Indian
Information on Origin
Boy/Male
English
Phonetic name based on initials.
Boy/Male
Hindu, Indian, Marathi
Information
Girl/Female
Indian, Telugu
Formation of Stars
Boy/Male
Afghan, African, Arabic, Australian, Chinese, Greek, Indian, Muslim
Brave
Boy/Male
Tamil
Base
Boy/Male
Muslim/Islamic
Smiling
Boy/Male
Muslim/Islamic
Brave
INFORMATION BASED-COMPLEXITY
INFORMATION BASED-COMPLEXITY
Boy/Male
Australian, French, German, Hebrew, Latin, Spanish
Passover
Biblical
excellent;
Male
English
 Anglicized form of Hebrew Yeriychow, JERICHO means "city of the moon" or "place of fragrance." In the bible, this is the name of a city near the Dead Sea, abounding in fragrant products such as balsam and cyprus. Compare with another form of Jericho.
Surname or Lastname
English
English : reduced form of Pettaway.
Girl/Female
Hindu, Indian
Pray for World
Boy/Male
Hindu
Invincible
Girl/Female
Indian, Sanskrit
Successful
Male
Danish
, bay or laurel tree.
Male
French
Variant spelling of French Ansell, ANCELL means "divine helmet."
Female
Italian
 Italian form of Latin Cælia, probably CELIA means "heaven." Compare with another form of Celia.
INFORMATION BASED-COMPLEXITY
INFORMATION BASED-COMPLEXITY
INFORMATION BASED-COMPLEXITY
INFORMATION BASED-COMPLEXITY
INFORMATION BASED-COMPLEXITY
a.
Having a base, or having as a base; supported; as, broad-based.
n.
A rustic play; -- called also prisoner's base, prison base, or bars.
a.
Reduced; lowered; restrained; as, to speak with bated breath.
n.
The act of reforming, or the state of being reformed; change from worse to better; correction or amendment of life, manners, or of anything vicious or corrupt; as, the reformation of manners; reformation of the age; reformation of abuses.
a.
Deep or grave in sound; as, the base tone of a violin.
n.
Same as Prison base.
n.
Ill formation; irregular or anomalous formation; abnormal or wrong conformation or structure.
v. t.
News, advice, or knowledge, communicated by others or obtained by personal study and investigation; intelligence; knowledge derived from reading, observation, or instruction.
a.
Of little, or less than the usual, height; of low growth; as, base shrubs.
n.
Mineral deposits and rock masses designated with reference to their origin; as, the siliceous formation about geysers; alluvial formations; marine formations.
a.
Not held by honorable service; as, a base estate, one held by services not honorable; held by villenage. Such a tenure is called base, or low, and the tenant, a base tenant.
a.
Morally low. Hence: Low-minded; unworthy; without dignity of sentiment; ignoble; mean; illiberal; menial; as, a base fellow; base motives; base occupations.
imp. & p. p.
of Base
n.
A group of beds of the same age or period; as, the Eocene formation.
n.
Specifically (Eccl. Hist.), the important religious movement commenced by Luther early in the sixteenth century, which resulted in the formation of the various Protestant churches.
n.
Wearing, or protected by, bases.
a.
Alloyed with inferior metal; debased; as, base coin; base bullion.
v. t.
A proceeding in the nature of a prosecution for some offens against the government, instituted and prosecuted, really or nominally, by some authorized public officer on behalt of the government. It differs from an indictment in criminal cases chiefly in not being based on the finding of a grand juri. See Indictment.
n.
A pie; baked food.
n.
The manner in which a thing is formed; structure; construction; conformation; form; as, the peculiar formation of the heart.