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Infinite Shannon entropy [PDF]
Journal of Statistical Mechanics: Theory and Experiment, 2013 Even if a probability distribution is properly normalizable, its associated Shannon (or von Neumann) entropy can easily be infinite. We carefully analyze conditions under which this phenomenon can occur.
Baccetti, Valentina, Visser, Matt
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Deterministic Annealing Approach to Fuzzy C-Means Clustering Based on Entropy Maximization
Advances in Fuzzy Systems, 2011 This paper is dealing with the fuzzy clustering method which combines the deterministic annealing (DA) approach with an entropy, especially the Shannon entropy and the Tsallis entropy.
Makoto Yasuda
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Química Nova, 2016 The aim of this study was a didactic presentation of the Shannon entropy in the quantum theory context, followed by application to the case of a one-dimensional harmonic oscillator in its ground state, both in the free case and confined case.
Wallas S. Nascimento +1 more
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Constraints of Compound Systems: Prerequisites for Thermodynamic Modeling Based on Shannon Entropy
Entropy, 2014 Thermodynamic modeling of extensive systems usually implicitly assumes the additivity of entropy. Furthermore, if this modeling is based on the concept of Shannon entropy, additivity of the latter function must also be guaranteed.
Martin Pfleger +2 more
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The Shannon entropy and avoided crossings in closed and open quantum billiards
, 2018 The relation between the Shannon entropy and avoided crossings is investigated in dielectric microcavities. The Shannon entropy of probability density for eigenfunctions in an open elliptic billiard as well as a closed quadrupole billiard increases as ...
An, Kyungwon +5 more
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On Characterization of Entropic Vectors at the Boundary of Almost Entropic Cones
, 2020 The entropy region is a fundamental object in information theory. An outer bound for the entropy region is defined by a minimal set of Shannon-type inequalities called elemental inequalities also referred to as the Shannon region.
Thakor, Satyajit, Tiwari, Hitika
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Device-independent Shannon entropy certification
New Journal of PhysicsQuantum technologies promise information processing and communication technology advancements, including random number generation (RNG). Using Bell inequalities, a user of a quantum RNG hardware can certify that the values provided by an untrusted device
Robert Okula, Piotr Mironowicz
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Estimating Entropy of Data Streams Using Compressed Counting [PDF]
, 2009 The Shannon entropy is a widely used summary statistic, for example, network traffic measurement, anomaly detection, neural computations, spike trains, etc. This study focuses on estimating Shannon entropy of data streams.
Li, Ping
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Analytical determination of theoretic quantities for multiple potential
Scientific Reports, 2020 The approximate analytical solutions of the three-dimensional radial Schrödinger wave equation with a multiple potential function has been studied using a suitable approximation scheme to the centrifugal term in the framework of parametric Nikiforov ...
C. A. Onate +3 more
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Thermodynamic and Differential Entropy under a Change of Variables
Entropy, 2010 The differential Shannon entropy of information theory can change under a change of variables (coordinates), but the thermodynamic entropy of a physical system must be invariant under such a change.
Vladimir Hnizdo, Michael K. Gilson
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