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Everything about Total correlation
In probability theory and in particular in information theory, total correlation is one of several generalizations of the mutual information. It is also known as the multivariate constraint or multiinformation. It quantifies the redundancy or dependency among a set of n random variables. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Total correlationA 5-minute orientation
- Skim a recent paper: Quantifying total correlations in quantum systems through the Pearson correlation coefficientInfluential work since 2022
- Pick up a classic book: Wahrheit und MethodeThe most-reprinted book on the subject
- Read the landmark paper: Correlation of whole-body impedance with total body water volume.Cited 376 times
- Go sideways: Mutual informationA closely related topic
- Go sideways: Dual total correlationA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Correlation of whole-body impedance with total body water volume.
Correlation of Total Body Potassium with Body-Water
Comparison of Models for Correlation of Total Band Absorption
Ultrahigh-Resolution Total Correlation NMR Spectroscopy
Fast MAS Total Through-Bond Correlation Spectroscopy
A correlation for total band absorptance of radiating gases
Total parenteral nutrition-associated cholestasis: Clinical and histopathologic correlation
Neurologic deficit after reverse total shoulder arthroplasty: correlation with distalization
🆕 Influential since 2022
Quantifying total correlations in quantum systems through the Pearson correlation coefficient
Functional Connectome of the Human Brain with Total Correlation
Functional connectivity via total correlation: Analytical results in visual areas
Comparing item-total correlation and item-theta correlation in test item selection: A simulation and empirical study
Correlation Between Total Bilirubin, Total Bilirubin/Albumin Ratio with Disease Activity in Patients with Rheumatoid Arthritis
📚 Books worth reading
Wahrheit und MethodeHans-Georg Gadamer · 1960
PsychologyRobert A. Baron · 1977
Learning to use statistical tests in psychologyJudith Greene, Manuela D'Oliveira · 1982- 📕Comparing clinical measurement methodsBendix Carstensen · 2010
The lost selfTodd E. Feinberg, Julian Paul Keenan · 2005
Pediatric gender assignmentStephen A. Zderic, Douglas A. Canning · 2002- 📕Development and application of regression models for estimating nutrient concentrations in streams of the conterminous United States, 1992-2001Norman E. Spahr · 2009
Single-molecule techniquesSelvin · 2007
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- 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…
- Dual total correlation In information theory, dual total correlation, information rate, excess entropy, or binding information is one of several known non-negative generalizations…
- Chow–Liu tree In probability theory and statistics, a Chow–Liu tree is an efficient method for constructing a second-order product approximation of a joint probability…
- Multivariate normal distribution In probability theory and statistics, the multivariate normal distribution, multivariate Gaussian distribution, or joint normal distribution is a generalization…
- Joint entropy In information theory, joint entropy is a measure of the uncertainty associated with a set of variables. The joint Shannon entropy (in bits) of two discrete…
- 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…
- Conditional mutual information In probability theory, particularly information theory, the conditional mutual information is, in its most basic form, the expected value of the mutual…
- Cross-entropy In information theory, the cross-entropy between two probability distributions p and q, over the same underlying set of events, measures the average number…