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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
American computer scientist
Henryk Woźniakowski on computational complexity applied to continuous scientific problems (information-based complexity). He collaborated in creating significant
Joseph_F._Traub
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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)
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
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
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
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
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
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)
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
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
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
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
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
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
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
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
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
(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 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
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
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
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
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)
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
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
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
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
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
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
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)
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
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
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
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
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
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
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)
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
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
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
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
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
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
Machine-learning and computational-neuroscience conference
2015-03-31. Fortnow, Lance (2014-12-18). "The NIPS Experiment". Computational Complexity. Retrieved 2015-03-31. Hardt, Moritz (2014-12-15). "The NIPS Experiment"
Conference on Neural Information Processing Systems
Conference_on_Neural_Information_Processing_Systems
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
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
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
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
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
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
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
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
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
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
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
Systems engineering methodology
the primary means of information exchange and system representation throughout the engineering lifecycle. Unlike document-based approaches where system
Model-based systems engineering
Model-based_systems_engineering
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
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
American mathematician (1916–2001)
completed a paper (published in March 1950) which estimates the game-tree complexity of chess, which is approximately 10120. This number is now often referred
Claude_Shannon
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
Book by Eric Chaisson
Cosmic Evolution: The Rise of Complexity in Nature (2001) is a book by Harvard astrophysicist Eric Chaisson. It examines cosmic evolution which includes
Cosmic_Evolution
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
Military aircraft designed specifically for operations from aircraft carriers
carry a larger payload as compared to during VTOL use, while avoiding the complexity of catapult and arrestor gears. The best known example is the Hawker Siddeley
Carrier-based_aircraft
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
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
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
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)
Type of computational models
central to agent-based models are agents as objects, emergence, and complexity. Agent-based models consist of dynamically interacting rule-based agents. The
Agent-based_model
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
Associative array for storing key–value pairs
probing sequence. In a well-dimensioned hash table, the average time complexity for each lookup is independent of the number of elements stored in the
Hash_table
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
Highest rate quantum information can be sent through a noisy quantum channel
communication, the quantum capacity is the highest rate at which quantum information can be communicated over many independent uses of a noisy quantum channel
Quantum_capacity
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
Standard for the encryption of electronic data
works on the 8-round version of AES-128, with a time complexity of 248, and a memory complexity of 232. 128-bit AES uses 10 rounds, so this attack is
Advanced_Encryption_Standard
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
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
INFORMATION BASED-COMPLEXITY
INFORMATION BASED-COMPLEXITY
Boy/Male
Hindu, Indian, Marathi
Information
Boy/Male
Arabic, Australian
Smiling
Boy/Male
Muslim/Islamic
Brave
Girl/Female
Indian, Tamil
Formation of Stars
Boy/Male
Indian
Information on Origin
Boy/Male
English
Phonetic name based on initials.
Boy/Male
Muslim
Smiling
Girl/Female
Indian
Knowledge; Information; Experience; Thought
Boy/Male
Indian
Base
Girl/Female
British, English
Based
Girl/Female
Indian, Telugu
Formation of Stars
Boy/Male
Hindu, Indian, Sanskrit
Address; Information
Male
Egyptian
, the father of Hor-imhotep.
Boy/Male
Muslim/Islamic
Smiling
Boy/Male
Arabic, French, Hindu, Indian, Marathi, Muslim, Sindhi
Joy; Solved; Based
Girl/Female
Gujarati, Hindu, Indian, Telugu
Information
Girl/Female
Indian, Marathi
Information; News
Boy/Male
Tamil
Base
Girl/Female
Indian, Telugu
Good Information
Boy/Male
Afghan, African, Arabic, Australian, Chinese, Greek, Indian, Muslim
Brave
INFORMATION BASED-COMPLEXITY
INFORMATION BASED-COMPLEXITY
Girl/Female
Tamil
Goddess of Matanga, Goddess Durga
Female
English
Variant spelling of English Joy, JOI means "joy."
Boy/Male
Indian, Punjabi, Sikh
Taking the Support of Truth
Boy/Male
Shakespearean
The Tragedy of Othello' Venetian Senator, father of Desdemona.
Boy/Male
Tamil
Nitarani | நீதாரநீÂ
Bear
Girl/Female
Tamil
Gift
Surname or Lastname
English
English : variant spelling of Arnall.Swedish : from the personal name Arne (see Arne) + -ell (from Latin -elius), a common suffix of Swedish surnames.
Boy/Male
Hindu, Indian, Sanskrit
Like God
Boy/Male
Hindi
Recluse.
Boy/Male
Hindu, Indian, Marathi
Moonstone
INFORMATION BASED-COMPLEXITY
INFORMATION BASED-COMPLEXITY
INFORMATION BASED-COMPLEXITY
INFORMATION BASED-COMPLEXITY
INFORMATION BASED-COMPLEXITY
v. t.
News, advice, or knowledge, communicated by others or obtained by personal study and investigation; intelligence; knowledge derived from reading, observation, or instruction.
n.
Ill formation; irregular or anomalous formation; abnormal or wrong conformation or structure.
n.
A group of beds of the same age or period; as, the Eocene formation.
n.
The manner in which a thing is formed; structure; construction; conformation; form; as, the peculiar formation of the heart.
a.
Deep or grave in sound; as, the base tone of a violin.
n.
A rustic play; -- called also prisoner's base, prison base, or bars.
n.
Same as Prison base.
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.
A pie; baked food.
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.
a.
Alloyed with inferior metal; debased; as, base coin; base bullion.
a.
Reduced; lowered; restrained; as, to speak with bated breath.
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.
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.
n.
Mineral deposits and rock masses designated with reference to their origin; as, the siliceous formation about geysers; alluvial formations; marine formations.
imp. & p. p.
of Base
a.
Morally low. Hence: Low-minded; unworthy; without dignity of sentiment; ignoble; mean; illiberal; menial; as, a base fellow; base motives; base occupations.
a.
Of little, or less than the usual, height; of low growth; as, base shrubs.
a.
Having a base, or having as a base; supported; as, broad-based.
n.
Wearing, or protected by, bases.