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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
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)
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
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
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
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
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)
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
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
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
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
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)
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
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 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)
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
Supposition or system of ideas intended to explain something
intelligence theory — Progressive education theory Engineering: Circuit theory — Control theory — Signal theory — Systems theory — Information theory Film: Film
Theory
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
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
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)
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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)
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
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
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
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
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 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
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
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
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
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
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
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)
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
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
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)
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
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
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
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
mathematical theory of information is based on probability theory and statistics, and measures information with several quantities of information, where quantity
Quantities_of_information
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
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
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
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
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
Israeli-American academic
network information theory, feedback communications, directed information, the interplay between estimation theory and information theory, entropy,
Tsachy_Weissman
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)
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)
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
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
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
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
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
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
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
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
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
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
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
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
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
Study of circular causal processes
focuses included purposeful behaviour, neural networks, heterarchy, information theory, and self-organisation. As cybernetics developed, it became broader
Cybernetics
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
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
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
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)
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
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
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
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
Engineering discipline
components of information engineering include more theoretical fields such as electromagnetism, machine learning, artificial intelligence, control theory, signal
Information_engineering
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
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
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
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
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
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
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
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
Process of acquiring new knowledge
Subgoal labeling – Cognitive process Algorithmic information theory – Subfield of information theory and computer science Algorithmic probability – Mathematical
Learning
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
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