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Bayesian information measure using cumulative residual entropy
The concept of information and the measurement of information in a sample about a parameter are fundamental in statistical analysis. The original...
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The Structure Entropy of Social Networks
Micro triadic structure is an important motif and serves the building block of complex networks. In this paper, the authors define structure entropy...
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Entropy collapse versus entropy rigidity for Reeb and Finsler flows
On every closed contact manifold there exist contact forms with volume one whose Reeb flows have arbitrarily small topological entropy. In contrast,...
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Stabilizing Discontinuous Galerkin Methods Using Dafermos’ Entropy Rate Criterion: II—Systems of Conservation Laws and Entropy Inequality Predictors
A novel approach for the stabilization of the Discontinuous Galerkin method based on the Dafermos entropy rate crition is presented. First, estimates...
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Entropy: Discrete Case
The main character of this chapter is the entropy function ( 1.2.9 ),...
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Complex-valued Wigner entropy of a quantum state
It is common knowledge that the Wigner function of a quantum state may admit negative values, so that it cannot be viewed as a genuine probability...
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Entropy and alternative entropy functionals of fractional Gaussian noise as the functions of Hurst index
This paper is devoted to the study of the properties of entropy as a function of the Hurst index, which corresponds to the fractional Gaussian noise....
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Katok’s Entropy Formula of Unstable Metric Entropy for Partially Hyperbolic Diffeomorphisms
Katok’s entropy formula is an important formula in entropy theory. It plays significant roles in large deviation theories, multifractal analysis,...
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Entropy of Peer-to-Peer Network
A strong flow of information 24/7 occurs between the agents of the peer-to-peer network. This intensive activity is a mark of perpetual evolution....
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Some Bounds for the Generalized Tsallis Relative Operator Entropy
In this paper, we obtain the lower and upper bounds for the generalized Tsallis relative operator entropy which will recover some known results....
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Topological Entropy and Metric Entropy for Regular Impulsive Semiflows
Several notions of topological entropy for non necesarily continuous semiflows were introduced because the classical notion of topological entropy...
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The q-Deformed Hamiltonian, Lagrangian, Entropy and Fisher Information
The aim of this article is to give the first time how four separated subjects, namely, Hamiltonian, Lagrangian, entropy and Fisher information, are...
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Topological entropy of switched nonlinear and interconnected systems
A general upper bound for topological entropy of switched nonlinear systems is constructed, using an asymptotic average of upper limits of the matrix...
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Information Theory and Entropy
Let \((\Omega ,{\mathcal A},\Pr )\) be a fixed...
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Probabilistic linguistic decision-making based on the hybrid entropy and cross-entropy measures
In fuzzy decision-making, the probabilistic linguistic term sets (PLTSs) are flexible in depicting people’s linguistic evaluations. As the...
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Generalized approximation and estimation of entropy numbers
In this article, we generalize an approximation result known for entropy numbers of operators. We show that the entropy numbers of a bounded linear...
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Relative entropy dimension for countable amenable group actions
We study the topological complexities of relative entropy zero extensions acted upon by countable-infinite amenable groups. First, for a given Følner...
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Entropy Modeling of Network Structures
AbstractCurrently, entropy is quite often used to describe complex systems in various fields. The questions of using differential entropy for...
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Conditional Entropy Formula with Respect to Monotonic Partitions
We investigate conditional entropy with respect to monotonic (invariant, decreasing, or increasing) measurable partitions. In particular, we obtain...