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INFORMATION THEORY

  • Information theory
  • Scientific study of digital information

    Information theory is the mathematical study of the quantification, storage, and communication of a particular type of mathematically defined information

    Information theory

    Information_theory

  • Entropy (information theory)
  • Average uncertainty in variable's states

    In information theory, the entropy of a random variable quantifies the average level of uncertainty or information associated with the variable's potential

    Entropy (information theory)

    Entropy_(information_theory)

  • Integrated information theory
  • Theory within consciousness research

    Integrated information theory (IIT) proposes a mathematical model for the consciousness of a system. It comprises a framework ultimately intended to explain

    Integrated information theory

    Integrated information theory

    Integrated_information_theory

  • Information
  • Facts provided or learned about something or someone

    influence on the concept of information is derived from the Information theory developed by Claude Shannon and others. This theory, however, reflects a fundamental

    Information

    Information

    Information

  • Algorithmic information theory
  • Subfield of information theory and computer science

    information theory (AIT) is a branch of theoretical computer science that concerns itself with the relationship between computation and information of

    Algorithmic information theory

    Algorithmic_information_theory

  • Information theory and measure theory
  • discusses how information theory (a branch of mathematics studying the transmission, processing and storage of information) is related to measure theory (a branch

    Information theory and measure theory

    Information_theory_and_measure_theory

  • Redundancy (information theory)
  • Message encoded with more bits than needed

    In information theory, redundancy (redundation) measures the fractional difference between the entropy H(X) of an ensemble X, and its maximum possible

    Redundancy (information theory)

    Redundancy_(information_theory)

  • Gambling and information theory
  • Mathematical analysis of gambling

    might be thought of as gambling theory applied to real-world events. The myriad applications for logarithmic information measures inform optimal decisions

    Gambling and information theory

    Gambling_and_information_theory

  • Claude Shannon
  • 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

    Claude Shannon

    Claude_Shannon

  • Quantum information
  • Information held in the state of a quantum system

    interdisciplinary field that involves quantum mechanics, computer science, information theory, philosophy and cryptography among other fields. Its study is also

    Quantum information

    Quantum information

    Quantum_information

  • Entropy in thermodynamics and information theory
  • Relationship between the concepts of thermodynamic entropy and information entropy

    Because the mathematical expressions for information theory developed by Claude Shannon and Ralph Hartley in the 1940s are similar to the mathematics of

    Entropy in thermodynamics and information theory

    Entropy_in_thermodynamics_and_information_theory

  • Information flow (information theory)
  • Transfer of information within a process

    subsequent leaks. Beyond applications to programming language, information flow control theories have been applied to operating systems, distributed systems

    Information flow (information theory)

    Information_flow_(information_theory)

  • Code
  • System of rules to convert information into another form or representation

    distance away can interpret the flags and reproduce the words sent. In information theory and computer science, a code is usually considered as an algorithm

    Code

    Code

  • Inequalities in information theory
  • Concept in information theory

    Inequalities are very important in the study of information theory. There are a number of different contexts in which these inequalities appear. Consider

    Inequalities in information theory

    Inequalities_in_information_theory

  • Constraint (information theory)
  • Constraint in information theory is the degree of statistical dependence between or among variables. Garner provides a thorough discussion of various forms

    Constraint (information theory)

    Constraint_(information_theory)

  • Organizational information theory
  • Communication theory

    Organizational Information Theory (OIT) is a communication theory, developed by Karl Weick, offering systemic insight into the processing and exchange

    Organizational information theory

    Organizational_information_theory

  • Theory
  • Supposition or system of ideas intended to explain something

    intelligence theory — Progressive education theory Engineering: Circuit theory — Control theory — Signal theory — Systems theoryInformation theory Film: Film

    Theory

    Theory

    Theory

  • Quantum information science
  • Interdisciplinary theory behind quantum computing

    Quantum information science is an interdisciplinary field that combines the principles of quantum mechanics, information theory, and computer science

    Quantum information science

    Quantum_information_science

  • Information field theory
  • Statistical theory

    Information field theory (IFT) is a Bayesian statistical field theory relating to signal reconstruction, cosmography, and other related areas. IFT summarizes

    Information field theory

    Information_field_theory

  • Receiver (information theory)
  • The receiver in information theory is the receiving end of a communication channel. It receives decoded messages/information from the sender, who first

    Receiver (information theory)

    Receiver_(information_theory)

  • History of information theory
  • The study of information theory began with the publication of Claude E. Shannon's classic paper "A Mathematical Theory of Communication" in the Bell System

    History of information theory

    History_of_information_theory

  • Mutual information
  • Measure of dependence between two variables

    In probability theory and information theory, the mutual information (MI) of two random variables is a measure of the mutual dependence between the two

    Mutual information

    Mutual information

    Mutual_information

  • Fisher information
  • Notion in statistics

    or the expected value of the observed information. The role of the Fisher information in the asymptotic theory of maximum-likelihood estimation was emphasized

    Fisher information

    Fisher information

    Fisher_information

  • Pragmatic theory of information
  • The pragmatic theory of information is derived from Charles Sanders Peirce's general theory of signs and inquiry. Peirce explored a number of ideas about

    Pragmatic theory of information

    Pragmatic_theory_of_information

  • Conditional entropy
  • Measure of relative information in probability theory

    In information theory, the conditional entropy quantifies the amount of information needed to describe the outcome of a random variable Y {\displaystyle

    Conditional entropy

    Conditional entropy

    Conditional_entropy

  • Information processing theory
  • Approach to the study of cognitive development

    Information processing theory is the approach to the study of cognitive development evolved out of the American experimental tradition in psychology.

    Information processing theory

    Information_processing_theory

  • Timeline of information theory
  • A timeline of events related to  information theory,  quantum information theory and statistical physics,  data compression,  error correcting codes and

    Timeline of information theory

    Timeline_of_information_theory

  • Channel capacity
  • Information-theoretical limit on transmission rate in a communication channel

    electrical engineering, computer science, and information theory, is the theoretical maximum rate at which information can be reliably transmitted over a communication

    Channel capacity

    Channel_capacity

  • Signal
  • Varying physical quantity that conveys information

    including signal processing, information theory and biology. In signal processing, a signal is a function that conveys information about a phenomenon. Any

    Signal

    Signal

    Signal

  • Structural information theory
  • Structural information theory (SIT) is a theory about human perception and in particular about visual perceptual organization, which is a neuro-cognitive

    Structural information theory

    Structural_information_theory

  • IEEE Transactions on Information Theory
  • Academic journal

    on Information Theory is a monthly peer-reviewed scientific journal published by the IEEE Information Theory Society. It covers information theory and

    IEEE Transactions on Information Theory

    IEEE_Transactions_on_Information_Theory

  • Value of information
  • Amount in information economics

    information Influence diagram Value of control Information theory Howard, Ronald (1966). "Information Value Theory". IEEE Transactions on Systems Science and

    Value of information

    Value_of_information

  • Interpretations of quantum mechanics
  • Area of physical and philosophical debate

    interpretation of quantum mechanics is an attempt to explain how the mathematical theory of quantum mechanics might correspond to experienced reality. Quantum mechanics

    Interpretations of quantum mechanics

    Interpretations_of_quantum_mechanics

  • Theoretical computer science
  • Subfield of computer science and mathematics

    quantum computation, automata theory, information theory, cryptography, program semantics and verification, algorithmic game theory, machine learning, computational

    Theoretical computer science

    Theoretical computer science

    Theoretical_computer_science

  • A Mathematical Theory of Communication
  • 1948 scholarly article by Claude Shannon

    transistor. It is also noted that "as did relativity and quantum theory, information theory radically changed the way scientists look at the universe". The

    A Mathematical Theory of Communication

    A Mathematical Theory of Communication

    A_Mathematical_Theory_of_Communication

  • Kullback–Leibler divergence
  • Mathematical statistics distance measure

    inequality Hellinger distance Information gain in decision trees Information gain ratio Information theory and measure theory Jensen–Shannon divergence Quantum

    Kullback–Leibler divergence

    Kullback–Leibler_divergence

  • Communication theory
  • Proposed description of communication phenomena

    ways. Communication theory emphasizes its symbolic and social process aspects as seen from two perspectives—as exchange of information (the transmission

    Communication theory

    Communication theory

    Communication_theory

  • List of unsolved problems in information theory
  • This article lists notable unsolved problems in information theory. These are separated into source coding and channel coding. There are also related unsolved

    List of unsolved problems in information theory

    List_of_unsolved_problems_in_information_theory

  • Z-channel (information theory)
  • asymmetric channel is a communications channel model used in coding theory and information theory to represent certain data storage systems. In a Z-channel, 0

    Z-channel (information theory)

    Z-channel (information theory)

    Z-channel_(information_theory)

  • Information manipulation theory
  • Interpersonal communication theory dealing with deceptive messages

    Information manipulation theory (IMT) is a theory of deceptive discourse production, rooted in H. Paul Grice's theory of conversational implicature. IMT

    Information manipulation theory

    Information_manipulation_theory

  • The Information: A History, a Theory, a Flood
  • 2011 book by James Gleick

    The Information: A History, a Theory, a Flood is a book by science history writer James Gleick, published in March 2011, which covers the genesis of the

    The Information: A History, a Theory, a Flood

    The_Information:_A_History,_a_Theory,_a_Flood

  • Media studies
  • Field of study that deals with media

    anthropology, social theory, art history and criticism, film theory, and information theory. Former priest and American educator John Culkin was one of the earliest

    Media studies

    Media studies

    Media_studies

  • Coding theory
  • Study of the properties of codes and their fitness

    storage. Codes are studied by various scientific disciplines—such as information theory, electrical engineering, mathematics, linguistics, and computer science—for

    Coding theory

    Coding theory

    Coding_theory

  • Information-theoretic security
  • Security of a cryptosystem which derives purely from information theory

    one of the founders of classical information theory, who used it to prove the one-time pad system was secure. Information-theoretically secure cryptosystems

    Information-theoretic security

    Information-theoretic_security

  • Information integration theory
  • Information integration theory was proposed by Norman H. Anderson to describe and model how a person integrates information from a number of sources in

    Information integration theory

    Information integration theory

    Information_integration_theory

  • Index of information theory articles
  • This is a list of information theory topics. A Mathematical Theory of Communication algorithmic information theory arithmetic coding channel capacity Communication

    Index of information theory articles

    Index_of_information_theory_articles

  • Noisy-channel coding theorem
  • Limit on data transfer rate

    In information theory, the noisy-channel coding theorem (sometimes Shannon's theorem or Shannon's limit), establishes that for any given degree of noise

    Noisy-channel coding theorem

    Noisy-channel_coding_theorem

  • List of unsolved problems in computer science
  • List of unsolved computational problems

    implications for fields such as cryptography, algorithm design, and computational theory. What is the relationship between BQP and NP? NC = P problem NP = co-NP

    List of unsolved problems in computer science

    List_of_unsolved_problems_in_computer_science

  • Information content
  • Quantity in information theory

    In information theory, the information content, self-information, surprisal, or Shannon information is a basic quantity derived from the probability of

    Information content

    Information_content

  • Units of information
  • Unit of measure for digital data

    telecommunications, a unit of information is used to describe the throughput of a communication channel. In information theory, a unit of information is used to measure

    Units of information

    Units_of_information

  • Social information processing (theory)
  • Theory of human interactions

    Social information processing theory, also known as SIP, is a psychological and sociological theory originally developed by Salancik and Pfeffer in 1978

    Social information processing (theory)

    Social information processing (theory)

    Social_information_processing_(theory)

  • Information algebra
  • Algebra describing information processing

    The term "information algebra" refers to mathematical techniques of information processing. Classical information theory goes back to Claude Shannon. It

    Information algebra

    Information_algebra

  • Discrete mathematics
  • Study of discrete mathematical structures

    continuous computational topics. Information theory involves the quantification of information. Closely related is coding theory which is used to design efficient

    Discrete mathematics

    Discrete mathematics

    Discrete_mathematics

  • Information (disambiguation)
  • Topics referred to by the same term

    storage, or transmission of data Information theory, the mathematical theory of information and communication Information (formal criminal charge), a formal

    Information (disambiguation)

    Information_(disambiguation)

  • Partial information decomposition
  • Partial Information Decomposition is an extension of information theory, that aims to generalize the pairwise relations described by information theory to

    Partial information decomposition

    Partial_information_decomposition

  • Computer science
  • Study of computation

    computation, information, and automation. Included broadly in the sciences, computer science spans theoretical disciplines (such as algorithms, theory of computation

    Computer science

    Computer science

    Computer_science

  • Quantum mechanics
  • Description of physical properties at the atomic and subatomic scale

    quantum chemistry, quantum biology, quantum field theory, quantum technology, and quantum information science. Quantum mechanics can describe many systems

    Quantum mechanics

    Quantum mechanics

    Quantum_mechanics

  • Akaike information criterion
  • Estimator for quality of a statistical model

    Thus, AIC provides a means for model selection. AIC is founded on information theory. When a statistical model is used to represent the process that generated

    Akaike information criterion

    Akaike_information_criterion

  • Quantities of information
  • mathematical theory of information is based on probability theory and statistics, and measures information with several quantities of information, where quantity

    Quantities of information

    Quantities of information

    Quantities_of_information

  • Systems theory
  • Interdisciplinary study of systems

    Systems theory is the transdisciplinary study of systems, i.e., cohesive groups of interrelated, interdependent components that can be natural or artificial

    Systems theory

    Systems_theory

  • IEEE International Symposium on Information Theory
  • IEEE conference

    The IEEE International Symposium on Information Theory (ISIT) is the flagship meeting of the IEEE Information Theory Society. Every year and during the

    IEEE International Symposium on Information Theory

    IEEE_International_Symposium_on_Information_Theory

  • Perfect information
  • Condition in economics and game theory

    Perfect information is a concept in game theory and economics that describes a situation where all players in a game or all participants in a market have

    Perfect information

    Perfect information

    Perfect_information

  • Automata theory
  • Study of abstract machines and automata

    Automata theory is the study of abstract machines and automata, as well as the computational problems that can be solved using them. It is a theory in theoretical

    Automata theory

    Automata theory

    Automata_theory

  • Outline of academic disciplines
  • Academic fields of study or professions

    Coding theory Dynamical systems Chaos theory Fractal geometry Game theory Graph theory Information theory Mathematical physics Quantum field theory Quantum

    Outline of academic disciplines

    Outline of academic disciplines

    Outline_of_academic_disciplines

  • Tsachy Weissman
  • Israeli-American academic

    network information theory, feedback communications, directed information, the interplay between estimation theory and information theory, entropy,

    Tsachy Weissman

    Tsachy_Weissman

  • Open system (systems theory)
  • Systems with external interactions

    interrelate the theory of the organism, thermodynamics, and evolutionary theory. This concept was expanded upon with the advent of information theory and subsequently

    Open system (systems theory)

    Open system (systems theory)

    Open_system_(systems_theory)

  • Information set (game theory)
  • Concept in game theory

    In game theory, an information set is the basis for decision making in a game, which includes the actions available to players and the potential outcomes

    Information set (game theory)

    Information set (game theory)

    Information_set_(game_theory)

  • Solomonoff's theory of inductive inference
  • Mathematical theory

    is also called a theory of induction. Due to its basis in the dynamical (state-space model) character of Algorithmic Information Theory, it encompasses

    Solomonoff's theory of inductive inference

    Solomonoff's_theory_of_inductive_inference

  • Constructor theory
  • Theory in fundamental physics

    laws to be expressed, such as the constructor theory of information. The fundamental elements of the theory are tasks: the abstract specifications of transformations

    Constructor theory

    Constructor_theory

  • Rényi entropy
  • Concept in information theory

    In information theory, the Rényi entropy is a quantity that generalizes various notions of entropy, including Hartley entropy, Shannon entropy, collision

    Rényi entropy

    Rényi_entropy

  • Computer and information science
  • perceive. While information science is sometimes confused with information theory, the two have vastly different subject matter. Information theory focuses on

    Computer and information science

    Computer and information science

    Computer_and_information_science

  • Variation of information
  • Measure of distance between two clusterings related to mutual information

    In probability theory and information theory, the variation of information or shared information distance is a measure of the distance between two clusterings

    Variation of information

    Variation of information

    Variation_of_information

  • Directed information
  • Directed information is an information theory measure that quantifies the information flow from the random string X n = ( X 1 , X 2 , … , X n ) {\displaystyle

    Directed information

    Directed_information

  • Holevo's theorem
  • Upper bound on the knowable information of a quantum state

    result in quantum information theory. It is sometimes called Holevo's bound, since it gives an upper bound on the accessible information, which is amount

    Holevo's theorem

    Holevo's_theorem

  • Media richness theory
  • Framework describing a communication medium

    Media richness theory (MRT), sometimes referred to as information richness theory, is a framework used to describe a communication medium's ability to

    Media richness theory

    Media_richness_theory

  • Information system
  • System that supports business decisions

    Communications of the Association for Information Systems, 12(23), Oct., pp. 365–394. Alter, S (2013). "Work System Theory: Overview of Core Concepts, Extensions

    Information system

    Information_system

  • Negentropy
  • Measure of distance to normality

    In information theory and statistics, negative entropy is used as a measure of distance to normality. It is also known as negentropy or syntropy. It is

    Negentropy

    Negentropy

  • Pointwise mutual information
  • Information Theory

    In statistics, probability theory and information theory, pointwise mutual information (PMI), or point mutual information, is a measure of association

    Pointwise mutual information

    Pointwise_mutual_information

  • Information geometry
  • Technique in statistics

    Information geometry is an interdisciplinary field that applies the techniques of differential geometry to study probability theory and statistics. It

    Information geometry

    Information geometry

    Information_geometry

  • Occam's razor
  • Philosophical problem-solving principle

    razor is elaborated by David J. C. MacKay in chapter 28 of his book Information Theory, Inference, and Learning Algorithms, where he emphasizes that a prior

    Occam's razor

    Occam's razor

    Occam's_razor

  • Cybernetics
  • Study of circular causal processes

    focuses included purposeful behaviour, neural networks, heterarchy, information theory, and self-organisation. As cybernetics developed, it became broader

    Cybernetics

    Cybernetics

    Cybernetics

  • Theory of computation
  • Academic subfield of computer science

    In theoretical computer science and mathematics, the theory of computation is the branch that deals with what problems can be solved on a model of computation

    Theory of computation

    Theory_of_computation

  • Giacomo Mauro D'Ariano
  • Italian quantum physicist (born 1955)

    University of Pavia, where he is the leader of the QUIT (quantum information theory) group. He is a member of the Center of Photonic Communication and

    Giacomo Mauro D'Ariano

    Giacomo Mauro D'Ariano

    Giacomo_Mauro_D'Ariano

  • Game theory
  • Mathematical models of strategic interactions

    Game theory is the study of mathematical models of strategic interactions. It has applications in many fields of social science, and is used extensively

    Game theory

    Game_theory

  • Sampling (signal processing)
  • Measurement of a signal at discrete time intervals

    online) is nicely written with diagrams, core theory and code sample. Journal devoted to Sampling Theory I/Q Data for Dummies – a page trying to answer

    Sampling (signal processing)

    Sampling (signal processing)

    Sampling_(signal_processing)

  • Rate–distortion theory
  • Theory about lossy data compression

    Rate–distortion theory is a major branch of information theory which provides the theoretical foundations for lossy data compression; it addresses the

    Rate–distortion theory

    Rate–distortion_theory

  • Kolmogorov 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

    Kolmogorov complexity

    Kolmogorov_complexity

  • Claude E. Shannon Award
  • IEEE award

    Award of the IEEE Information Theory Society was created to honor consistent and profound contributions to the field of information theory. Each Shannon Award

    Claude E. Shannon Award

    Claude_E._Shannon_Award

  • Information behavior
  • How people find information

    and channels of information". A variety of theories of information behavior seek to understand the processes that surround information seeking. An analysis

    Information behavior

    Information_behavior

  • Information engineering
  • Engineering discipline

    components of information engineering include more theoretical fields such as electromagnetism, machine learning, artificial intelligence, control theory, signal

    Information engineering

    Information engineering

    Information_engineering

  • Hard problem of consciousness
  • Philosophical problem

    rather than electronics, in theory it would be possible for artificial intelligence to be conscious. Integrated information theory (IIT), developed by the

    Hard problem of consciousness

    Hard problem of consciousness

    Hard_problem_of_consciousness

  • Theory of motivated information management
  • Social-psychological framework

    The theory of motivated information management (TMIM) is a social-psychological framework that examines the relationship between information management

    Theory of motivated information management

    Theory_of_motivated_information_management

  • Item response theory
  • Paradigm for the design, analysis, and scoring of tests

    psychometrics, item response theory (IRT, also known as latent trait theory, strong true score theory, or modern mental test theory) is a paradigm for the design

    Item response theory

    Item_response_theory

  • Institute of Information Theory and Automation of the CAS
  • The Institute of Information Theory and Automation (UTIA) (Czech: Ústav teorie informace a automatizace) is a public research institution in Prague administered

    Institute of Information Theory and Automation of the CAS

    Institute of Information Theory and Automation of the CAS

    Institute_of_Information_Theory_and_Automation_of_the_CAS

  • Entropy
  • Property of a thermodynamic system

    description of nature in statistical physics, and the principles of information theory. It has far-ranging applications in chemistry and physics, in biological

    Entropy

    Entropy

    Entropy

  • Entropic gravity
  • Theory in modern physics that describes gravity as an entropic force

    not a fundamental interaction. The theory, based on string theory, black hole physics, and quantum information theory, describes gravity as an emergent

    Entropic gravity

    Entropic gravity

    Entropic_gravity

  • Information Age
  • Industrial shift to information technology

    including Shannon's (1949) Information Theory and Wiener's (1948) Cybernetics. Wiener stated: "information is information not matter or energy". This

    Information Age

    Information Age

    Information_Age

  • Set theory
  • Branch of mathematics that studies sets

    Set theory is the branch of mathematical logic that studies sets, which can be informally described as collections of objects. Although objects of any

    Set theory

    Set theory

    Set_theory

  • Learning
  • Process of acquiring new knowledge

    Subgoal labeling – Cognitive process Algorithmic information theory – Subfield of information theory and computer science Algorithmic probability – Mathematical

    Learning

    Learning

    Learning

  • Theory of the firm
  • Theories relating to firms' roles in the economy

    and information all influence the successful operation of a firm both in the economy and in its internal processes. As such, major economic theories such

    Theory of the firm

    Theory_of_the_firm

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