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Entropy, Volume 20, Issue 9

September 2018 - 97 articles

Cover Story: Following a recent proof of Shannon’s entropy power inequality (EPI), a comprehensive framework for deriving various EPIs for the Rényi entropy is presented that uses transport arguments from normal densities and a change of variable by rotation. Simple arguments are given to recover the previously known Rényi EPIs and derive new ones, by unifying a multiplicative form with constant c and a modification with exponent a of previous works. In particular, for log-concave densities, we obtain a simple transportation proof of a sharp varentropy bound. The figure shows a three dimensional plot of the quantity A(λ)/H(λ) to be minimized in order to derive some Rényi EPIs. View this paper.
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Articles (97)

  • Article
  • Open Access
23 Citations
5,637 Views
23 Pages

12 September 2018

This paper brings analysis of the multiple-valued memory system (MVMS) composed by a pair of the resonant tunneling diodes (RTD). Ampere-voltage characteristic (AVC) of both diodes is approximated in operational voltage range as common in practice: b...

  • Article
  • Open Access
4,737 Views
14 Pages

Combining Entropy Measures for Anomaly Detection

  • Alberto Muñoz,
  • Nicolás Hernández,
  • Javier M. Moguerza and
  • Gabriel Martos

12 September 2018

The combination of different sources of information is a problem that arises in several situations, for instance, when data are analysed using different similarity measures. Often, each source of information is given as a similarity, distance, or a k...

  • Article
  • Open Access
8 Citations
3,296 Views
8 Pages

12 September 2018

The Koch curve exciting coil eddy current sensor is a kind of novel flexible planar eddy current probe. In this study, an intersection angle spectrum entropy index and a radial direction energy spectrum entropy were proposed to evaluate the eddy curr...

  • Article
  • Open Access
2 Citations
4,222 Views
16 Pages

12 September 2018

The time evolution of stochastic reaction networks can be modeled with the chemical master equation of the probability distribution. Alternatively, the numerical problem can be reformulated in terms of probability moment equations. Herein we present...

  • Article
  • Open Access
6 Citations
3,184 Views
18 Pages

Pinching Theorems for Statistical Submanifolds in Sasaki-Like Statistical Space Forms

  • Ali H. Alkhaldi,
  • Mohd. Aquib,
  • Aliya Naaz Siddiqui and
  • Mohammad Hasan Shahid

11 September 2018

In this paper, we obtain the upper bounds for the normalized δ -Casorati curvatures and generalized normalized δ -Casorati curvatures for statistical submanifolds in Sasaki-like statistical manifolds with constant curvature. Fur...

  • Article
  • Open Access
8 Citations
4,200 Views
12 Pages

11 September 2018

The neural network approach is proposed for studying very-low- and low-frequency (VLF and LF) subionospheric radio wave variations in the time vicinities of magnetic storms and earthquakes, with the purpose of recognizing anomalies of different types...

  • Article
  • Open Access
30 Citations
3,844 Views
17 Pages

11 September 2018

We study an analog of Bayes’ formula and the nonnegativity property of mutual information for systems with one random variable. For single-qudit states, we present new entropic inequalities in the form of the subadditivity and condition corresp...

  • Article
  • Open Access
12 Citations
4,845 Views
15 Pages

11 September 2018

According to the keyword abstract extraction function in the Natural Language Processing and Information Retrieval Sharing Platform (NLPIR), the design method of a dynamic rounds chaotic block cipher is presented in this paper, which takes into accou...

  • Meeting Report
  • Open Access
2 Citations
3,875 Views
5 Pages

Overview of the 37th MaxEnt

  • Teresa C. M. Dias,
  • Marcio A. Diniz,
  • Carlos A. de B. Pereira and
  • Adriano Polpo

11 September 2018

The 37th edition of MaxEnt was held in Brazil, hosting several distinguished researchers and students. The workshop offered four tutorials, nine invited talks, twenty four oral presentations and twenty seven poster presentations. All submissions rece...

  • Article
  • Open Access
1 Citations
3,679 Views
10 Pages

11 September 2018

This paper discusses some properties of the topological entropy systems generated by polynomials of degree d in their Hubbard tree. An optimization of Thurston’s core entropy algorithm is developed for a family of polynomials of degree d.

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Entropy - ISSN 1099-4300