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Everything about Dual total correlation
Measure of dependence
In information theory, dual total correlation, information rate, excess entropy, or binding information is one of several known non-negative generalizations of mutual information. While total correlation is bounded by the sum entropies of the n elements, the dual total correlation is bounded by the joint-entropy of the n elements. Although well behaved, dual total correlation has received much less attention than the total correlation. A measure known as "TSE-complexity" defines a continuum between the total correlation and dual total correlation. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Dual total correlationA 5-minute orientation
- Skim a recent paper: Potential of two-dimensional correlation-based dual-band visible/near infrared spectroscopy to predict total volatile basic nitrogen content in meatInfluential work since 2022
- Pick up a classic book: Cartesian meditationsThe most-reprinted book on the subject
- Read the landmark paper: Realized heritabilities and genetic correlation after dual selection for total weight and shell width in catarina scallop (Argopecten ventricosus)Cited 70 times
- Go sideways: Total correlationA closely related topic
- Go sideways: Mutual informationA closely related topic
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🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Realized heritabilities and genetic correlation after dual selection for total weight and shell width in catarina scallop (Argopecten ventricosus)
Dual-color total internal reflection fluorescence cross-correlation spectroscopy
Correlation filter learning with dual-modal motion fusion and total variation for UAV tracking
🆕 Influential since 2022
📚 Books worth reading
Cartesian meditationsEdmund Husserl, Dorion Cairns · 1960
Pension financeM. Barton Waring · 2011
Single-molecule techniquesSelvin · 2007
S. Paul in the light of modern researchJohn Rougier Cohu · 1911
survival companion for medical students, graduates and interns · 2014
The Human Planet · 2009
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Total correlation In probability theory and in particular in information theory, total correlation (Watanabe 1960) is one of several generalizations of the mutual information…
- Mutual information In probability theory and information theory, the mutual information (MI) of two random variables is a measure of the mutual dependence between the two…
- Redundancy (information theory) In information theory, redundancy (redundation) measures the fractional difference between the entropy H(X) of an ensemble X, and its maximum possible…
- Multivariate normal distribution In probability theory and statistics, the multivariate normal distribution, multivariate Gaussian distribution, or joint normal distribution is a generalization…
- Asymptotic equipartition property In information theory, the asymptotic equipartition property (AEP) is a general property of the output samples of a stochastic source. It is fundamental…
- Covariance matrix In probability theory and statistics, a covariance matrix (also known as auto-covariance matrix, dispersion matrix, variance matrix, or variance–covariance…
- Entropy rate In the mathematical theory of probability, the entropy rate or source information rate of a stochastic process is, informally, the time density of the…
- Central limit theorem In probability theory, the central limit theorem (CLT) states that, under appropriate conditions, the distribution of a normalized version of the sample…