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

particularly information theory, the conditional mutual information is, in its most basic form, the expected value of the mutual information of two random...

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

In probability theory and information theory, adjusted mutual information, a variation of mutual information may be used for comparing clusterings. It...

In quantum information theory, quantum mutual information, or von Neumann mutual information, after John von Neumann, is a measure of correlation between...

measures in information theory are mutual information, channel capacity, error exponents, and relative entropy. Important sub-fields of information theory...

derive a right to profits and votes Mutual information, the intersection of multiple information sets Mutual insurance, where policyholders have certain...

of information, information correlation, co-information, and simply mutual information. Interaction information expresses the amount of information (redundancy...

of the feature set. Common measures include the mutual information, the pointwise mutual information, Pearson product-moment correlation coefficient,...

fluctuation theorem with mutual information are satisfied. For more general information processes including biological information processing, both inequality...

measures in information theory are mutual information, channel capacity, error exponents, and relative entropy. Important sub-fields of information theory...

Kolmogorov–Sinai entropy in dynamical systems Levenshtein distance Mutual information Perplexity Qualitative variation – other measures of statistical dispersion...

commonly used characterization of entropy. Consequently, mutual information is the only measure of mutual dependence that obeys certain related conditions, since...

closely related to mutual information; indeed, it is a simple linear expression involving the mutual information. Unlike the mutual information, however, the...

,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...

context of decision trees, the term is sometimes used synonymously with mutual information, which is the conditional expected value of the Kullback–Leibler divergence...

The mutual information of PSK can be evaluated in additive Gaussian noise by numerical integration of its definition. The curves of mutual information saturate...

into account when choosing an attribute. Information gain is also known as mutual information. Information gain is the reduction in entropy produced...

{\Sigma }}_{1}| \over |{\boldsymbol {\Sigma }}_{0}|}\right\}.} The mutual information of a distribution is a special case of the Kullback–Leibler divergence...

Liberty Mutual Insurance Company is an American diversified global insurer and the sixth-largest property and casualty insurer in the world. It ranks 71st...

than Pearson's, that is, more sensitive to nonlinear relationships. Mutual information can also be applied to measure dependence between two variables. The...

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...

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...

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...

contingency tables the value of G can also be expressed in terms of mutual information. Let N = ∑ i j O i j {\displaystyle N=\sum _{ij}{O_{ij}}\;} , π i...

pointwise mutual information is a semantic similarity measure. To assess the degree of association between two given words, it uses pointwise mutual information...

of the information content of random variables and a measure over sets. Namely the joint entropy, conditional entropy, and mutual information can be considered...

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...

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...

_{n}}}\right)\end{aligned}}} Similar to the entropy or mutual information, the Fisher information also possesses a chain rule decomposition. In particular...