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See searches and references containing MUTUAL INFORMATION!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
Information theory
particularly information theory, the conditional mutual information is, in its most basic form, the expected value of the mutual information of two random
Conditional mutual information
Conditional_mutual_information
Information Theory
statistics, probability theory and information theory, pointwise mutual information (PMI), or point mutual information, is a measure of association. It
Pointwise_mutual_information
Used to compare clustering when variation of mutual information is employed
In probability theory and information theory, adjusted mutual information, a variation of mutual information may be used for comparing clusterings. It
Adjusted_mutual_information
Measure in quantum information theory
In quantum information theory, quantum mutual information (QMI), or von Neumann mutual information, after John von Neumann, is a measure of correlation
Quantum_mutual_information
Topics referred to by the same term
derive a right to profits and votes Mutual information, the intersection of multiple information sets Mutual insurance, where policyholders have certain
Mutual
Scientific study of digital information
p(y)}}} where SI (Specific mutual Information) is the pointwise mutual information. A basic property of the mutual information is that: I ( X ; Y ) = H
Information_theory
Generalization of mutual information for more than two variables
interaction information, including amount of information, information correlation, co-information, and simply mutual information. Interaction information expresses
Interaction_information
Mathematical statistics distance measure
commonly used characterization of entropy. Consequently, mutual information is the only measure of mutual dependence that obeys certain related conditions, since
Kullback–Leibler_divergence
Measure of distance between two clusterings related to mutual information
closely related to mutual information; indeed, it is a simple linear expression involving the mutual information. Unlike the mutual information, however, the
Variation_of_information
Statistical distance measure
,P_{n})\leq \log _{b}(n)} . The Jensen–Shannon divergence is the mutual information between a random variable X {\displaystyle X} associated to a mixture
Jensen–Shannon_divergence
Average uncertainty in variable's states
Kolmogorov–Sinai entropy in dynamical systems Levenshtein distance Mutual information Perplexity Qualitative variation – other measures of statistical dispersion
Entropy_(information_theory)
Facts provided or learned about something or someone
measures in information theory are mutual information, channel capacity, error exponents, and relative entropy. Important sub-fields of information theory
Information
Gain from observing another random variable
(In broader contexts, information gain can also be used as a synonym for either Kullback–Leibler divergence or mutual information, but the focus of this
Information gain (decision tree)
Information_gain_(decision_tree)
Process in machine learning and statistics
of the feature set. Common measures include the mutual information, the pointwise mutual information, Pearson product-moment correlation coefficient,
Feature_selection
Thought experiment of 1867
fluctuation theorem with mutual information are satisfied. For more general information processes including biological information processing, both inequality
Maxwell's_demon
of the information content of random variables and a measure over sets. Namely the joint entropy, conditional entropy, and mutual information can be considered
Information theory and measure theory
Information_theory_and_measure_theory
Generalization of the one-dimensional normal distribution to higher dimensions
Retrieved 2020-08-12. Proof: Mutual information of the multivariate normal distribution MacKay, David J. C. (2003-10-06). Information Theory, Inference and Learning
Multivariate normal distribution
Multivariate_normal_distribution
Semantic similarity measure
In computational linguistics, second-order co-occurrence pointwise mutual information (SOC-PMI) is a method used to measure semantic similarity, or how
Second-order co-occurrence pointwise mutual information
Second-order_co-occurrence_pointwise_mutual_information
Type of data encoding
The mutual information of PSK can be evaluated in additive Gaussian noise by numerical integration of its definition. The curves of mutual information saturate
Phase-shift_keying
Upper bound on the knowable information of a quantum state
Define the accessible information between X {\displaystyle X} and Y {\displaystyle Y} as the (classical) mutual information between the two registers
Holevo's_theorem
Information-theoretical limit on transmission rate in a communication channel
of the channel, as defined above, is given by the maximum of the mutual information between the input and output of the channel, where the maximization
Channel_capacity
Concept in information processing
random, can increase the information that Y {\displaystyle Y} contains about X {\displaystyle X} . Using the mutual information, this can be written as :
Data_processing_inequality
Grouping a set of objects by similarity
resulting clusters and the label used. The mutual information is an information theoretic measure of how much information is shared between a clustering and a
Cluster_analysis
American multinational insurance company
Liberty Mutual Insurance Company, often referred to as Liberty Mutual Insurance, is an American diversified global insurer and the sixth-largest property
Liberty_Mutual
Professionally managed investment fund
A mutual fund is an investment fund that pools money from many investors to purchase securities. The term is typically used in the United States, Canada
Mutual_fund
and important measures of information is the mutual information, or transinformation. This is a measure of how much information can be obtained about one
Quantities_of_information
Notion in statistics
_{n}}}\right)\end{aligned}}} Similar to the entropy or mutual information, the Fisher information also possesses a chain rule decomposition. In particular
Fisher_information
Technique in information theory
condition to capture some fraction of the mutual information with the relevant variable Y. The information bottleneck can also be viewed as a rate distortion
Information_bottleneck_method
Machine learning algorithm
expected information gain is the mutual information, meaning that on average, the reduction in the entropy of T is the mutual information. Information gain
Decision_tree_learning
i − 1 ) {\displaystyle I(X^{i};Y_{i}|Y^{i-1})} is the conditional mutual information I ( X 1 , X 2 , . . . , X i ; Y i | Y 1 , Y 2 , . . . , Y i − 1 )
Directed_information
variable X 2 {\displaystyle X_{2}} , classical information theory can only describe the mutual information of the joint variable { X 1 , X 2 } {\displaystyle
Partial information decomposition
Partial_information_decomposition
Decision tree training concept
into account when choosing an attribute. Information gain is also known as mutual information. Information gain is the reduction in entropy produced
Information_gain_ratio
Statistical relationship
generalized to other forms of association between two variables, such as mutual information and distance covariance. The most familiar measure of dependence between
Correlation
ideas of the information entropy and redundancy of a source, and its relevance through the source coding theorem; the mutual information, and the channel
History_of_information_theory
Message encoded with more bits than needed
{\displaystyle Y} , it is known that the joint mutual information can be less than the sum of the marginal mutual informations: I ( X 1 , X 2 ; Y ) < I ( X 1 ; Y
Redundancy (information theory)
Redundancy_(information_theory)
Computer vision algorithm
transform, Pearson correlation (normalized cross-correlation). Even mutual information can be approximated as a sum over the pixels, and thus used as a local
Semi-global_matching
Measure of relative information in probability theory
classical counterpart. Entropy (information theory) Mutual information Conditional quantum entropy Variation of information Entropy power inequality Likelihood
Conditional_entropy
Venn diagram to illustrate relationship
entropy and mutual information. Information diagrams are a useful pedagogical tool for teaching and learning about these basic measures of information. Information
Information_diagram
Concept in information theory
as special cases of a single inequality involving the conditional mutual information, namely I ( A ; B | C ) ≥ 0 , {\displaystyle I(A;B|C)\geq 0,} where
Inequalities in information theory
Inequalities_in_information_theory
in particular in information theory, total correlation (Watanabe 1960) is one of several generalizations of the mutual information. It is also known
Total_correlation
Estimate of the importance of a word in a document
Latent semantic analysis Mutual information Noun phrase Okapi BM25 PageRank Vector space model Word count SMART Information Retrieval System Rajaraman
Tf–idf
Statistical measure of association between variables
studies published on arXiv. The maximal information coefficient uses binning as a means to apply mutual information on continuous random variables. Binning
Maximal information coefficient
Maximal_information_coefficient
Information-theoretic measure
distance Maximum-likelihood estimation Mutual information Perplexity Thomas M. Cover, Joy A. Thomas, Elements of Information Theory, 2nd Edition, Wiley, p. 80
Cross-entropy
Theorem that tells the maximum rate at which information can be transmitted
In information theory, the Shannon–Hartley theorem tells the maximum rate at which information can be transmitted over a communications channel of a specified
Shannon–Hartley_theorem
Kth smallest value in a statistical sample
the CLT, our results follow by application of the delta method. The mutual information and f-divergence between order statistics have also been considered
Order_statistic
Doctrine of military strategy
Mutually assured destruction or mutual assured destruction (MAD) is a doctrine of military strategy and national security policy which posits that a full-scale
Mutually_assured_destruction
Optimization principle for artificial neural networks
should be chosen or learned so as to maximize the average Shannon mutual information between x {\displaystyle x} and z ( x ) {\displaystyle z(x)} , subject
Infomax
Mathematical analysis of gambling
with whatever side information we are able to obtain. The value of this "illicit" side information is measured as mutual information relative to the outcome
Gambling and information theory
Gambling_and_information_theory
American radio broadcasting network (1934–1999)
The Mutual Broadcasting System (commonly referred to simply as Mutual; sometimes referred to as MBS, Mutual Radio or the Mutual Radio Network) was an
Mutual_Broadcasting_System
application to pattern recognition and psychology. Mutual Information Total Correlation Interaction information Garner W R (1962). Uncertainty and Structure
Constraint (information theory)
Constraint_(information_theory)
Treaty to enforce public or criminal laws
A mutual legal assistance treaty (MLAT) is an agreement between two or more countries for the purpose of gathering and exchanging information in an effort
Mutual legal assistance treaty
Mutual_legal_assistance_treaty
Statistical test
value of the G-test statistics can also be expressed in terms of mutual information. In this case objects with two-dimensional types ( i , j ) {\displaystyle
G-test
Entropy measure
quantum information in the state will remain after the state goes through the channel. In this sense, it is intuitively similar to the mutual information of
Coherent_information
theoretical formulation based on mutual information, along with the first definition of multivariate mutual information, published in IEEE Trans. Pattern
Minimum redundancy feature selection
Minimum_redundancy_feature_selection
Closeness of linguistic varieties
varieties are mutually intelligible, but differences mount with distance, so that more widely separated varieties may not be mutually intelligible. Intelligibility
Mutual_intelligibility
Two parties authenticating each other at the same time
Mutual authentication or two-way authentication is the simultaneous and reciprocal authentication of two parties. It is part of authentication protocols
Mutual_authentication
Quantity in information theory
self-information above is not universal. Since the notation I ( X ; Y ) {\displaystyle I(X;Y)} is also often used for the related quantity of mutual information
Information_content
Graph measuring gene relationships
with blood sugar). Butte and Kohane used this approach later with mutual information as the co-expression measure and using gene expression data for constructing
Gene_co-expression_network
Measure of similarity between samples
alternative to other similarity metrics, such as Pearson correlation or mutual information. Here we find the biweight midcorrelation of two vectors x {\displaystyle
Biweight_midcorrelation
American bank holding company (1889–2008)
Washington Mutual, Inc. (often abbreviated to WaMu) was an American savings bank holding company based in Seattle. It was the parent company of Washington
Washington_Mutual
described using measures like a massive correlation or mutual information. Co-occurrence information and knowledge of co-occurring words may be relevant
Co-occurrence
Concept in information theory
\alpha =1} quantities allow the definition of conditional information and mutual information from communication theory. The Rényi entropies and divergences
Rényi_entropy
Limit on data transfer rate
memoryless channel, the channel capacity, defined in terms of the mutual information I ( X ; Y ) {\displaystyle I(X;Y)} as C = sup p X I ( X ; Y ) {\displaystyle
Noisy-channel_coding_theorem
Measure of information in probability and information theory
(X)+\mathrm {H} (Y|X)} . Joint entropy is also used in the definition of mutual information I ( X ; Y ) = H ( X ) + H ( Y ) − H ( X , Y ) {\displaystyle \operatorname
Joint_entropy
Theory about lossy data compression
{\displaystyle X} , and I Q ( Y ; X ) {\displaystyle I_{Q}(Y;X)} is the mutual information between Y {\displaystyle Y} and X {\displaystyle X} defined as I (
Rate–distortion_theory
Phenomenon in statistics
cell frequencies. The proposed shrinkage estimators of entropy and mutual information, as well as all other investigated entropy estimators, have been implemented
Shrinkage_(statistics)
Concept in information theory
significance as a measure of discrete information since it is actually the limit of the discrete mutual information of partitions of X {\displaystyle X}
Differential_entropy
British mutual insurance company
NFU Mutual is a UK insurance company. It is a mutual business, meaning that the policyholder members own the business, and the executives and directors
NFU_Mutual
Measure of dependence
information is one of several known non-negative generalizations of mutual information. While total correlation is bounded by the sum entropies of the n
Dual_total_correlation
Information known by all participatory agents
Mutual knowledge in game theory is information known by all participatory agents. However, unlike common knowledge, a related topic, mutual knowledge
Mutual_knowledge
Time density of the average information in a stochastic process
the entropy rate or source information rate of a stochastic process is, informally, the time density of the average information in a stochastic process.
Entropy_rate
Term in information theory
Shannon's entropy and differential entropy, as one could find the mutual information I ( X ; Y ) {\displaystyle I(X;Y)} using the following formula: I
Information_dimension
Relationship of various quantum subsystems
BC)\leq S(A\mid B)} . This can also be restated in terms of quantum mutual information, I ( A : B C ) ≥ I ( A : B ) {\displaystyle I(A:BC)\geq I(A:B)} .
Strong subadditivity of quantum entropy
Strong_subadditivity_of_quantum_entropy
where I ( X i ; X j ( i ) ) {\displaystyle I(X_{i};X_{j(i)})} is the mutual information between variable X i {\displaystyle X_{i}} and its parent X j ( i
Chow–Liu_tree
Mapping of data into a single system
cross-correlation, mutual information, sum of squared intensity differences, and ratio image uniformity. Mutual information and normalized mutual information are the
Image_registration
or organism) when an appropriate measure of information transfer (signal-to-noise ratio, mutual information, coherence, d', etc.) is maximized in the presence
Stochastic resonance (sensory neurobiology)
Stochastic_resonance_(sensory_neurobiology)
Topics referred to by the same term
Neischnocolus Acute myocardial infarction, a heart attack Adjusted mutual information, in information theory Advanced metering infrastructure, for energy smart
Ami
Japanese insurance company
Asahi Mutual Life Insurance Company (朝日生命保険相互会社, Asahi Seimei Hoken Sōgo-kaisha) is a Japanese insurance company, headquartered in Tokyo. The company was
Asahi_Life
Determination of language from a text sample
compressibility of texts in a set of known languages. This approach is known as mutual information based distance measure. The same technique can also be used to empirically
Language_identification
introduction of a mutual fund in India occurred in 1963, when the Government of India launched the Unit Trust of India (UTI). Mutual funds are broadly
Mutual_funds_in_India
American mutual life insurance company
The Massachusetts Mutual Life Insurance Company, also known as MassMutual, is an American life insurance company. MassMutual provides financial products
MassMutual
Field of linguistics
(size, extension, etc.) Frequency weighting (e.g. entropy, pointwise mutual information, etc.) Dimension reduction (e.g. random indexing, singular value decomposition
Distributional_semantics
Non-parametric statistic on information transfer
entropy measures such as Rényi entropy. Transfer entropy is conditional mutual information, with the history of the influenced variable Y t − 1 : t − L {\displaystyle
Transfer_entropy
State-dependent measures that converge to the mutual information
state-dependent measures that in expectation converge to the mutual information. State-dependent informations often appear in neuroscience applications. Let X {\displaystyle
State-dependent_information
Use of the second law of thermodynamics to distinguish past from future
a decreasing mutual entropy (or increasing mutual information), and for a time that is not too long—the correlations (mutual information) between particles
Entropy_as_an_arrow_of_time
Topics referred to by the same term
for: Pointwise mutual information, in statistics Privilege Management Infrastructure in cryptography Product and manufacturing information in CAD systems
PMI
Signal processing computational method
independence for ICA are Minimization of mutual information Maximization of non-Gaussianity The Minimization-of-Mutual information (MMI) family of ICA algorithms
Independent component analysis
Independent_component_analysis
2010 book by Serbian Vlatko Vedral
buying gym membership to help motivated self win over lazy self. Mutual information resulting in phase transitions in social and political demography
Decoding_Reality
Measure of nonclassical correlations between two subsystems of a quantum system
mathematical terms, quantum discord is defined in terms of the quantum mutual information. More specifically, quantum discord is the difference between two
Quantum_discord
Computational technique to find word sequences
calculate a score associated to every word pairs. Proposed formulas are mutual information, t-test, z test, chi-squared test and likelihood ratio. Within the
Collocation_extraction
images that have an intensity linear relationship Mutual information (AdvancedMattesMutualInformation) to be used for both mono- and multi-modal applications
Elastix_(image_registration)
Measure of "category goodness"
to the information gain metric used in decision tree learning. In certain presentations, it is also formally equivalent to the mutual information, as discussed
Category_utility
Indian bank sponsored fund house
Mutual Fund in the mutual fund sector are Axis Mutual Fund, Birla Sun Life Mutual Fund, HDFC Mutual Fund, ICICI Prudential Mutual Fund, Kotak Mutual Fund
SBI_Mutual_Fund
Monte Carlo algorithm
mutual information, posterior differential entropy, and posterior conditional differential entropy, respectively. We can similarly define information
Gibbs_sampling
Creation of a whole that is greater than the simple sum of its parts
binary variables, the mutual information between any individual source and the target is 0 bit. However, the joint mutual information I ( X 1 , X 2 ; Y )
Synergy
inferring protein residue contacts using correlation measures like mutual information. The inference of the Potts model on a multiple sequence alignment
Direct_coupling_analysis
divergence / (2:DCR) Mutual information / (23F:DC) Copula / (2F:C) Cramér's theorem / (2:C) Kullback–Leibler divergence / (2:DCR) Mutual information / (23F:DC)
Catalog of articles in probability theory
Catalog_of_articles_in_probability_theory
discretizing continuous data include Fayyad & Irani's MDL method, which uses mutual information to recursively define the best bins, CAIM, CACC, Ameva, and many others
Discretization of continuous features
Discretization_of_continuous_features
Health insurance company
Richfield, Toledo and Youngstown, as well as an information systems facility in Beachwood. In 2019, Medical Mutual of Ohio ranked 718 out of the top 1,000 corporations
Medical_Mutual_of_Ohio
MUTUAL INFORMATION
MUTUAL INFORMATION
Boy/Male
Arabic, Muslim
Servant of the Most High
Boy/Male
Gujarati, Indian, Jain
King of Water
Girl/Female
Arabic, Muslim
Harmony; Mutual Affection
Boy/Male
Muslim
Servant of the most high
Girl/Female
Gujarati, Hindu, Indian, Tamil
Friendly
Boy/Male
Indian
Messenger, Prophet, Ambassador
Boy/Male
Hindu, Indian, Punjabi, Sanskrit, Sikh
Bud
Boy/Male
Arabic, Muslim, Sindhi
Messenger; Ambassador; Prophet
Boy/Male
Australian, Chinese, Vietnamese
Mulberry; Bright; Noble; Mutual
Boy/Male
Sikh
Friendly, Friendship, Sweet
Boy/Male
Greek Latin
Mutual love.
Male
Hindi/Indian
(মà§à¦•à§à¦²) Hindi name MUKUL means "blossom, bud."
Boy/Male
Muslim
Messenger, Prophet, Ambassador
Boy/Male
Hindu
Lord Murugan
Boy/Male
Arabic, Muslim
Exalted; Supreme
Boy/Male
Arabic, Muslim
Absolute; Unlimited
Boy/Male
Indian, Tamil
Like a Pearl
Boy/Male
Hindu
King of gujarat
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
A Saint
Boy/Male
Muslim/Islamic
Servant of the Most High
MUTUAL INFORMATION
MUTUAL INFORMATION
Female
English
Feminine form of English unisex Riley, RYLEE means "rye meadow."
Boy/Male
Greek American Latin English Italian Shakespearean
Priceless.
Girl/Female
Biblical
Spread abroad.
Girl/Female
Hindu, Indian
Goddess
Girl/Female
Hindu, Indian, Sanskrit, Tamil, Telugu
Priest; Rays; Beautiful; Moon
Girl/Female
Tamil
Saher | ஸஹேர, ஸேஹேரÂ
Early morning, Dawn
Girl/Female
Tamil
Parnika | பரà¯à®£à®¿à®•à®¾
Creeper, A small leaf, Parvati
Girl/Female
Tamil
Vinu Priya | வீநà¯à®‚ பà¯à®°à®¿à®¯à®¾Â
The powerful mind beloved
Girl/Female
American, Australian, British, Christian, English, French, German, Greek, Hebrew
Woman from Magdala; Form of Madeline; Maiden; Young; Unmarried Woman; High Tower
Boy/Male
Muslim
Tailor
MUTUAL INFORMATION
MUTUAL INFORMATION
MUTUAL INFORMATION
MUTUAL INFORMATION
MUTUAL INFORMATION
v. i.
To communicate mutually; to hold mutual communication.
a.
Resembling a wall; perpendicular or steep; as, a mural precipice.
n.
A prescribed form of performing divine service in a particular church or communion; as, the Jewish ritual.
a.
Of or pertaining to rites or ritual; as, ritual service or sacrifices; the ritual law.
v. t.
To cover with metal; as, to metal a ship's bottom; to metal a road.
n.
Ore from which a metal is derived; -- so called by miners.
a.
Of or pertaining to the hand; done or made by the hand; as, manual labor; the king's sign manual.
v. i.
To have reciprocal or mutual relations; to be mutually related.
n.
Hence, the code of ceremonies observed by an organization; as, the ritual of the freemasons.
adv.
In a mutual manner.
a.
Mutual.
a.
Reciprocally acting or related; reciprocally receiving and giving; reciprocally given and received; reciprocal; interchanged; as, a mutual love, advantage, assistance, aversion, etc.
a.
A prescribed exercise in the systematic handing of a weapon; as, the manual of arms; the manual of the sword; the manual of the piece (cannon, mortar, etc.).
a.
Involving, or accompanied by, mutual slaughter; mutually destructive.
n.
Mutial accommodation; mutual giving.
a.
In action at the time being; now exiting; present; as the actual situation of the country.
a.
Pertaining to a miter; resembling a miter; as, the mitral valve between the left auricle and left ventricle of the heart.
a.
Possessed, experienced, or done by two or more persons or things at the same time; common; joint; as, mutual happiness; a mutual effort.
a.
Taking place at a suture; as, a sutural de/iscence.
a.
Existing in act or reality; really acted or acting; in fact; real; -- opposed to potential, possible, virtual, speculative, conceivable, theoretical, or nominal; as, the actual cost of goods; the actual case under discussion.