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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
2 Citations
4,683 Views
9 Pages

14 September 2018

A stochastic system under the influence of a stochastic environment is correlated with both present and future states of the environment. Such a system can be seen as implicitly implementing a predictive model of future environmental states. The non-...

  • Article
  • Open Access
20 Citations
5,290 Views
21 Pages

14 September 2018

Cities and their infrastructure networks are always in motion and permanently changing in structure and function. This paper presents a methodology for automatically creating future water distribution networks (WDNs) that are stressed step-by-step by...

  • Article
  • Open Access
13 Citations
6,486 Views
25 Pages

14 September 2018

This paper is devoted to change-point detection using only the ordinal structure of a time series. A statistic based on the conditional entropy of ordinal patterns characterizing the local up and down in a time series is introduced and investigated....

  • Article
  • Open Access
33 Citations
4,549 Views
13 Pages

The Co-existence of Different Synchronization Types in Fractional-order Discrete-time Chaotic Systems with Non–identical Dimensions and Orders

  • Samir Bendoukha,
  • Adel Ouannas,
  • Xiong Wang,
  • Amina-Aicha Khennaoui,
  • Viet-Thanh Pham,
  • Giuseppe Grassi and
  • Van Van Huynh

14 September 2018

This paper is concerned with the co-existence of different synchronization types for fractional-order discrete-time chaotic systems with different dimensions. In particular, we show that through appropriate nonlinear control, projective synchronizati...

  • Article
  • Open Access
20 Citations
4,185 Views
16 Pages

13 September 2018

In view of the nonlinear characteristics of electroencephalography (EEG) signals collected in the driving fatigue state recognition research and the issue that the recognition accuracy of the driving fatigue state recognition method based on EEG is s...

  • Article
  • Open Access
12 Citations
4,480 Views
16 Pages

13 September 2018

The energy use analysis of coal-fired power plant units is of significance for energy conservation and consumption reduction. One of the most serious problems attributed to Chinese coal-fired power plants is coal waste. Several units in one plant may...

  • Comment
  • Open Access
4 Citations
3,626 Views
6 Pages

13 September 2018

In a recent article, Schmelzer and Tropin [Entropy 2018, 20, 103] presented a critique of several aspects of modern glass science, including various features of glass transition and relaxation, crystallization, and the definition of glass itself. We...

  • Reply
  • Open Access
6 Citations
3,905 Views
7 Pages

13 September 2018

A response is given to a comment of Zanotto and Mauro on our paper published in Entropy 20, 103 (2018). Our arguments presented in this paper are widely ignored by them, and no new considerations are outlined in the comment, which would require a rev...

  • Article
  • Open Access
4 Citations
4,151 Views
10 Pages

Probabilistic Inference for Dynamical Systems

  • Sergio Davis,
  • Diego González and
  • Gonzalo Gutiérrez

12 September 2018

A general framework for inference in dynamical systems is described, based on the language of Bayesian probability theory and making use of the maximum entropy principle. Taking the concept of a path as fundamental, the continuity equation and Cauchy...

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Entropy - ISSN 1099-4300