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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
119 Citations
10,295 Views
18 Pages

19 September 2018

In order to overcome the difficulty of key management in “one time pad” encryption schemes and also resist the attack of chosen plaintext, a new image encryption algorithm based on chaos and SHA-256 is proposed in this paper. The architec...

  • Article
  • Open Access
7 Citations
4,246 Views
23 Pages

19 September 2018

We proposed in this work the introduction of a new vision of stochastic processes through geometry induced by dilation. The dilation matrices of a given process are obtained by a composition of rotation matrices built in with respect to partial corre...

  • Article
  • Open Access
5 Citations
4,133 Views
13 Pages

Economic Complexity Based Recommendation Enhance the Efficiency of the Belt and Road Initiative

  • Hao Liao,
  • Xiao-Min Huang,
  • Alexandre Vidmer,
  • Yi-Cheng Zhang and
  • Ming-Yang Zhou

19 September 2018

The Belt and Road initiative (BRI) was announced in 2013 by the Chinese government. Its goal is to promote the cooperation between European and Asian countries, as well as enhancing the trust between members and unifying the market. Since its creatio...

  • Article
  • Open Access
5 Citations
3,751 Views
12 Pages

Rate Distortion Function of Gaussian Asymptotically WSS Vector Processes

  • Jesús Gutiérrez-Gutiérrez,
  • Marta Zárraga-Rodríguez,
  • Pedro M. Crespo and
  • Xabier Insausti

19 September 2018

In this paper, we obtain an integral formula for the rate distortion function (RDF) of any Gaussian asymptotically wide sense stationary (AWSS) vector process. Applying this result, we also obtain an integral formula for the RDF of Gaussian moving av...

  • Article
  • Open Access
23 Citations
4,520 Views
12 Pages

18 September 2018

The sustainability of regional water resources has important supporting data needed for establishing policies on the sustainable development of the social economy. The purpose of this paper is to propose an assessment method to accurately reflect the...

  • Article
  • Open Access
2 Citations
3,283 Views
11 Pages

17 September 2018

We present a new characterization of propositional formulas called entropy, which approximates the freedom we have in assigning the variables. Like several other such measures (e.g., back-door and back-door-key variables), it is computationally expen...

  • Article
  • Open Access
4 Citations
4,664 Views
6 Pages

16 September 2018

The notion of three-phase (line) tension remains one of the most disputable notions in surface science. A very broad range of its values has been reported. Experts even do not agree on the sign of line tension. The polymer-chain-like model of three-p...

  • Article
  • Open Access
8 Citations
3,716 Views
21 Pages

15 September 2018

Network virtualization can offer more flexibility and better manageability for next generation Internet. With the increasing deployments of virtual networks in military and commercial networks, a major challenge is to ensure virtual network survivabi...

  • Article
  • Open Access
1 Citations
5,049 Views
15 Pages

Spatial Organization of Five-Fold Morphology as a Source of Geometrical Constraint in Biology

  • Juan López-Sauceda,
  • Jorge López-Ortega,
  • Gerardo Abel Laguna Sánchez,
  • Jacobo Sandoval Gutiérrez,
  • Ana Paola Rojas Meza and
  • José Luis Aragón

14 September 2018

A basic pattern in the body plan architecture of many animals, plants and some molecular and cellular systems is five-part units. This pattern has been understood as a result of genetic blueprints in development and as a widely conserved evolutionary...

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Entropy - ISSN 1099-4300