A New Directed Divergence Measure and Its Characterization∗

Lin, Jinfeng; Wong, S. K. M.

doi:10.1080/03081079008935097

Cited by 45 publications

(28 citation statements)

References 12 publications

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“…So, we observe that the aforementioned nonnegativity of JSD arises from the convexity of the Shannon entropy functional S. Different properties and generalizations of JSD have been discussed and employed in past years [17,41,42].…”

Section: Jensen-shannon and Kullback-leibler Divergencesmentioning

confidence: 96%

Jensen–Shannon and Kullback–Leibler divergences as quantifiers of relativistic effects in neutral atoms

Martín

López-Rosa

Angulo

et al. 2015

Chemical Physics Letters

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Section: Jensen-shannon and Kullback-leibler Divergencesmentioning

confidence: 96%

Jensen–Shannon and Kullback–Leibler divergences as quantifiers of relativistic effects in neutral atoms

Martín

López-Rosa

Angulo

et al. 2015

Chemical Physics Letters

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“…A reviewer pointed out that I c (pkq) is for c = 1 equal (up to a factor 2) to the Shannon-Jensen divergence [44,26] I s ðpkqÞ ¼ 1 2 ½Iðpkp þ qÞ þ Iðqkp þ qÞ þ 2 log 2. The Shannon-Jensen divergence is a symmetrized version of the Kullback-Leibler information divergence.…”

Section: The Pólya Information Divergencementioning

confidence: 99%

The Pólya information divergence

Grendár

Niven

2010

Information Sciences

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“…They determine the sharpness and spreading out of its probability distribution, independent of its actual value ofx. H (P) is written as a sum of functions of the individual components of P (for details see [4] and [15])…”

Section: Introductionmentioning

confidence: 99%

Uncertainty relations expressed by Shannon-like entropies

Majerník¹,

Majerníková²,

Shpyrko

2003

Open Physics

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Besides the well-known Shannon entropy, there is a set of Shannon-like entropies which have applications in statistical and quantum physics. These entropies are functions of certain parameters and converge toward Shannon entropy when these parameters approach the value 1. We describe brie®y the most important Shannon-like entropies and present their graphical representations. Their graphs look almost identical, though by superimposing them it appears that they are distinct and characteristic of each Shannon-like entropy. We try to formulate the alternative entropic uncertainty relations by means of the Shannon-like entropies and show that all of them equally well express the uncertainty principle of quantum physics.

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A New Directed Divergence Measure and Its Characterization∗

Cited by 45 publications

References 12 publications

Jensen–Shannon and Kullback–Leibler divergences as quantifiers of relativistic effects in neutral atoms

Jensen–Shannon and Kullback–Leibler divergences as quantifiers of relativistic effects in neutral atoms

The Pólya information divergence

Uncertainty relations expressed by Shannon-like entropies

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