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Mutual Information, Bayes Optimal Error, Entropy,

Mutual Information and Nonadditive Entropies: The Case of Tsallis Entropy

Mutual Information and Nonadditive Entropies: The Case of Tsallis Entropy

... the mutual information, which is its measure. The mutual information can be easily decomposed into a sum (with signs) of entropies [1], when the Shannon entropy is ...This ...

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Mutual Information and Nonadditive Entropies: A Method for Kaniadakis Entropy

Mutual Information and Nonadditive Entropies: A Method for Kaniadakis Entropy

... discussing mutual information of two random variables and how it can be calculated from ...Shannon entropy, whereas, for the nonadditive Tsallis entropy, it requires some ...Tsallis ...

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Information Landscape and Flux, Mutual Information Rate Decomposition and Entropy Production

Information Landscape and Flux, Mutual Information Rate Decomposition and Entropy Production

... Information Landscape and Flux, Mutual Information Rate Decomposition and Entropy Production.. Qian Zeng 1,† and Jin Wang 1,2,†, *.[r] ...

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Mutual Information and Cross Entropy Framework to Determine Relevant Gene Subset for Cancer Classification

Mutual Information and Cross Entropy Framework to Determine Relevant Gene Subset for Cancer Classification

... of Mutual Information and Cross ...algorithm, mutual information is employed to select a set of relevant genes and cross entropy is used to determine independent ...of optimal ...

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Entropy and Mutual Information

Entropy and Mutual Information

... Systems Information theory has played an important role in the study of learning ...as information theory deals with quantifying information regardless of its physical medium of transmission, ...

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Reduction of Systematic Error in Radiopharmaceutical Activity by Entropy Based Mutual Information

Reduction of Systematic Error in Radiopharmaceutical Activity by Entropy Based Mutual Information

... in error in the count rate is reflected in the reduction in error in the activity and consequently on the quality of ...of mutual information (MI); we show how to process element by element of ...

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Nonequilibrium Information Landscape and Flux, Mutual Information Rate Decomposition and Entropy Production

Nonequilibrium Information Landscape and Flux, Mutual Information Rate Decomposition and Entropy Production

... nonequilibrium Entropy Production Rate (EPR) of the BMC by the simple equality: 100 EPR of BMC = EPR of 1st marginal chain + EPR of 2nd marginal chain + 2 × time-irreversible part of ...

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Mutual information and conditional mean prediction error

Mutual information and conditional mean prediction error

... the mutual information I(X; Z) to the entropy of X as ν(Z|X) → 0, under the condition that the conditional mean E[Z|X] is an invertible function of ...the entropy of ...estimation ...

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CiteSeerX — Mutual information and minimum mean-square error in Gaussian channels

CiteSeerX — Mutual information and minimum mean-square error in Gaussian channels

... input-output mutual information and the (noncausal) MMSE in estimating the input given the output determine each other by a simple formula under both discrete- and continuous-time, scalar and vector ...

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Persistent mutual information

Persistent mutual information

... Concluding Remarks Our considerations of PMI led us to expect that evolution of fu- ture interpoint distances could be indicative of some map features. Here we took this idea further and showed that by combining the past ...

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A Bayes Optimal Approach for Partitioning the Values of Categorical Attributes

A Bayes Optimal Approach for Partitioning the Values of Categorical Attributes

... the optimal grouping with K groups, apart from exhaustive ...locally optimal partition of the categories into K ...the information gain criterion to evaluate categorical attributes, without any ...

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Nonmyopic ϵ-Bayes-Optimal Active Learning of Gaussian Processes

Nonmyopic ϵ-Bayes-Optimal Active Learning of Gaussian Processes

... the information gathering option ...maximum entropy sampling problem ( Shewry & Wynn , 1987 ) and established an equivalence result that the maximum-entropy observa- tions selected by π ∗ achieve ...

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Mutual information measures for subclass error-correcting output codes classification

Mutual information measures for subclass error-correcting output codes classification

... V ALL O(N c N 2 d 2 ) V BT W O(N c N J p 2 d 2 ) 2 Separation Criterions The standard separation criterion for use in the SFFS algorithm, as proposed by Escalera et al. [4], is the maximization of the Mutual ...

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Optimal Codes and Entropy Extractors

Optimal Codes and Entropy Extractors

... new entropy extractors, our aim is to formally describe these techniques and the effects of their ...resulting entropy relying only on the minimum distance of the code generated by the matrix associated to ...

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VARONIS RESEARCH PAPER. Information Entropy. Information Entropy

VARONIS RESEARCH PAPER. Information Entropy. Information Entropy

... ABOUT VARONIS Varonis is the leading provider of software solutions for unstructured, human-generated enterprise data. Varonis provides an innovative software platform that allows enterprises to map, analyze, manage and ...

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A hierarchical Bayes error correction model to explain dynamic effects

A hierarchical Bayes error correction model to explain dynamic effects

... the error-correction format and the re- sulting parametrization leads to a direct interpretation of the long-run and the short-run effect of a marketing instrument on log ...

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Identifying elastoplastic parameters with Bayes’ theorem considering output error, input error and model uncertainty

Identifying elastoplastic parameters with Bayes’ theorem considering output error, input error and model uncertainty

... Abstract We discuss Bayesian inference for the identification of elastoplastic material parameters. In addition to errors in the stress measurements, which are commonly considered, we furthermore consider errors in the ...

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A Form of Information Entropy

A Form of Information Entropy

... of information entropy will be presented on crisp and fuzzy ...setting. Information entropy is the unavailability of information about a crisp or fuzzy ...of information defined ...

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Bayes linear analysis for Bayesian optimal experimental design.

Bayes linear analysis for Bayesian optimal experimental design.

... the optimal design problem presented by such a source estimation problem; for simplicity and clarity of discussion, suppose we have access to a single point sensor which may be fixed anywhere within a certain ...

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Meta-trained agents implement Bayes-optimal agents

Meta-trained agents implement Bayes-optimal agents

... to Bayes-optimal predictors. We found that behaviorally the Bayes-optimal solution constitutes a fixed-point of meta-learner training ...from Bayes-optimal ...by ...

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