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Entropy, Volume 20, Issue 9

2018 September - 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
131 Citations
11,221 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...

(This article belongs to the Special Issue Entropy in Image Analysis)
  • Article
  • Open Access
7 Citations
4,653 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...

(This article belongs to the Special Issue Entropy: From Physics to Information Sciences and Geometry)
  • Article
  • Open Access
5 Citations
4,453 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...

(This article belongs to the Special Issue Economic Fitness and Complexity)
  • Article
  • Open Access
6 Citations
4,029 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...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Article
  • Open Access
24 Citations
4,969 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...

(This article belongs to the Special Issue Applications of Information Theory in the Geosciences II)
  • Article
  • Open Access
2 Citations
3,599 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...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Article
  • Open Access
237 Citations
10,379 Views
12 Pages

17 September 2018

The aim of this paper is to investigate the generalization of the Sierpinski gasket through the harmonic metric. In particular, this work presents an antenna based on such a generalization. In fact, the harmonic Sierpinski gasket is used as a geometr...

(This article belongs to the Special Issue Entropy: From Physics to Information Sciences and Geometry)
  • Article
  • Open Access
4 Citations
5,121 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
4,001 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...

(This article belongs to the Special Issue Information Theory and 5G Technologies)
  • Article
  • Open Access
1 Citations
5,544 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...

(This article belongs to the Special Issue Biological Statistical Mechanics)
  • Review
  • Open Access
45 Citations
13,265 Views
19 Pages

14 September 2018

We examine how information theory has been used to study cognition over the last seven decades. After an initial burst of activity in the 1950s, the backlash that followed stopped most work in this area. The last couple of decades has seen both a rev...

(This article belongs to the Special Issue Rate-Distortion Theory and Information Theory)
  • Article
  • Open Access
2 Citations
5,096 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-...

(This article belongs to the Special Issue Thermodynamics of Information Processing)
  • Article
  • Open Access
20 Citations
5,799 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...

(This article belongs to the Special Issue Entropy and Scale-Dependence in Urban Modelling)
  • Article
  • Open Access
14 Citations
7,212 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....

(This article belongs to the Special Issue Entropy: From Physics to Information Sciences and Geometry)
  • Article
  • Open Access
51 Citations
4,962 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...

(This article belongs to the Special Issue Nonlinear Dynamics and Entropy of Complex Systems with Hidden and Self-excited Attractors)
  • Article
  • Open Access
20 Citations
4,508 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...

(This article belongs to the Special Issue Evaluation of Systems’ Irregularity and Complexity: Sample Entropy, Its Derivatives, and Their Applications across Scales and Disciplines)
  • Article
  • Open Access
13 Citations
4,890 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...

(This article belongs to the Special Issue Thermodynamic Optimization)
  • Comment
  • Open Access
5 Citations
3,906 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...

(This article belongs to the Special Issue Residual Entropy and Nonequilibrium States)
  • Reply
  • Open Access
6 Citations
4,266 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...

(This article belongs to the Special Issue Residual Entropy and Nonequilibrium States)
  • Article
  • Open Access
6 Citations
4,558 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...

(This article belongs to the Special Issue Entropic Aspects Arising from Geometric Descriptions of Physical Phenomena)
  • Article
  • Open Access
24 Citations
6,147 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...

(This article belongs to the Special Issue Nonlinear Dynamics and Entropy of Complex Systems with Hidden and Self-excited Attractors)
  • Article
  • Open Access
5,120 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...

(This article belongs to the Special Issue Entropy: From Physics to Information Sciences and Geometry)
  • Article
  • Open Access
8 Citations
3,558 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
4,566 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...

(This article belongs to the Special Issue Probability Distributions and Maximum Entropy in Stochastic Chemical Reaction Networks)
  • Article
  • Open Access
6 Citations
3,498 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
4,537 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...

(This article belongs to the Special Issue Entropy, Nonlinear Dynamics, and Methods of Complex Systems in Earthquake Physics including Precursory Phenomena)
  • Article
  • Open Access
30 Citations
4,199 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...

(This article belongs to the Special Issue Quantum Probability and Randomness)
  • Article
  • Open Access
12 Citations
5,212 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...

(This article belongs to the Special Issue Information Theory Applications in Signal Processing)
  • Meeting Report
  • Open Access
2 Citations
4,158 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...

(This article belongs to the Special Issue MaxEnt 2017 - The 37th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering)
  • Article
  • Open Access
1 Citations
3,943 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.

(This article belongs to the Special Issue Nonlinear Dynamics and Entropy of Complex Systems with Hidden and Self-excited Attractors)
  • Article
  • Open Access
2 Citations
3,903 Views
16 Pages

10 September 2018

Let X n be a memoryless uniform Bernoulli source and Y n be the output of it through a binary symmetric channel. Courtade and Kumar conjectured that the Boolean function f : { 0 , 1 } n → { 0 , 1 } that maximizes th...

(This article belongs to the Special Issue The 20th Anniversary of Entropy - Recent Advances in Entropy and Information-Theoretic Concepts and Their Applications)
  • Article
  • Open Access
10 Citations
3,863 Views
16 Pages

Evaluation of Sustainability Information Disclosure Based on Entropy

  • Ming Li,
  • Jialin Wang,
  • Ying Li and
  • Yingcheng Xu

10 September 2018

Disclosure of sustainability information is important for stockholders and governments. In order to evaluate the quality of sustainability information disclosure in heavily polluting industries, the quality of the disclosure is proposed to be evaluat...

  • Article
  • Open Access
6 Citations
3,857 Views
17 Pages

Classical and Quantum Causal Interventions

  • Gerard Milburn and
  • Sally Shrapnel

8 September 2018

Characterising causal structure is an activity that is ubiquitous across the sciences. Causal models are representational devices that can be used as oracles for future interventions, to predict how values of some variables will change in response to...

(This article belongs to the Section Quantum Information)
  • Article
  • Open Access
2 Citations
4,216 Views
15 Pages

Analysis of Basic Features in Dynamic Network Models

  • Pedro J. Zufiria and
  • Iker Barriales-Valbuena

7 September 2018

Time evolving Random Network Models are presented as a mathematical framework for modelling and analyzing the evolution of complex networks. This framework allows the analysis over time of several network characterizing features such as link density,...

(This article belongs to the Special Issue Selected Papers from 4th International Electronic Conference on Entropy and Its Applications)
  • Article
  • Open Access
107 Citations
5,327 Views
18 Pages

7 September 2018

A damage degree identification method based on high-order difference mathematical morphology gradient spectrum entropy (HMGSEDI) is proposed in this paper to solve the problem that fault signal of rolling bearings are weak and difficult to be quantit...

  • Article
  • Open Access
11 Citations
4,582 Views
13 Pages

7 September 2018

Einstein-Podolsky-Rosen (EPR) steering is very important quantum correlation of a composite quantum system. It is an intermediate type of nonlocal correlation between entanglement and Bell nonlocality. In this paper, based on introducing definitions...

(This article belongs to the Special Issue Entropic Uncertainty Relations and Their Applications)
  • Article
  • Open Access
10 Citations
6,007 Views
33 Pages

Multi-Objective Evolutionary Rule-Based Classification with Categorical Data

  • Fernando Jiménez,
  • Carlos Martínez,
  • Luis Miralles-Pechuán,
  • Gracia Sánchez and
  • Guido Sciavicco

7 September 2018

The ease of interpretation of a classification model is essential for the task of validating it. Sometimes it is required to clearly explain the classification process of a model’s predictions. Models which are inherently easier to interpret ca...

(This article belongs to the Special Issue Statistical Machine Learning for Human Behaviour Analysis)
  • Article
  • Open Access
19 Citations
3,605 Views
17 Pages

7 September 2018

A heat conduction model in a radial-pattern disc by considering non-uniform heat generation (NUHG) is established in this paper. A series of high conductivity channels (HCCs) are attached on the rim of the disc and extended to its center. Constructal...

(This article belongs to the Section Thermodynamics)
  • Article
  • Open Access
12 Citations
4,055 Views
23 Pages

7 September 2018

The capacity region of a two-transmitter Gaussian multiple access channel (MAC) under average input power constraints is studied, when the receiver employs a zero-threshold one-bit analogue-to-digital converter (ADC). It is proven that the input dist...

(This article belongs to the Special Issue Information Theory for Data Communications and Processing)
  • Article
  • Open Access
6 Citations
5,590 Views
12 Pages

6 September 2018

A trailing-edge flap control strategy for mitigating rotor power fluctuations of a 5 MW offshore floating wind turbine is developed under turbulent wind inflow. The wind shear must be considered because of the large rotor diameter. The trailing-edge...

(This article belongs to the Special Issue Intermittency and Self-Organisation in Turbulence and Statistical Mechanics)
  • Article
  • Open Access
6 Citations
3,493 Views
12 Pages

6 September 2018

The risk‒return trade-off is a fundamental relationship that has received a large amount of attention in financial and economic analysis. Indeed, it has important implications for understanding linear dynamics in price returns and active quantitative...

  • Article
  • Open Access
7 Citations
7,461 Views
14 Pages

6 September 2018

Deterministic and stochastic models of chemical reaction kinetics can give starkly different results when the deterministic model exhibits more than one stable solution. For example, in the stochastic Schlögl model, the bimodal stationary probab...

(This article belongs to the Special Issue Information Theory and Stochastics for Multiscale Nonlinear Systems)
  • Article
  • Open Access
19 Citations
8,176 Views
22 Pages

6 September 2018

Logical information theory is the quantitative version of the logic of partitions just as logical probability theory is the quantitative version of the dual Boolean logic of subsets. The resulting notion of information is about distinctions, differen...

(This article belongs to the Special Issue Towards Ultimate Quantum Theory (UQT))
  • Article
  • Open Access
16 Citations
6,344 Views
29 Pages

Evaporation Boundary Conditions for the Linear R13 Equations Based on the Onsager Theory

  • Alexander Felix Beckmann,
  • Anirudh Singh Rana,
  • Manuel Torrilhon and
  • Henning Struchtrup

6 September 2018

Due to the failure of the continuum hypothesis for higher Knudsen numbers, rarefied gases and microflows of gases are particularly difficult to model. Macroscopic transport equations compete with particle methods, such as the Direct Simulation Monte...

(This article belongs to the Special Issue Thermodynamics of Non-Equilibrium Gas Flows)
  • Article
  • Open Access
34 Citations
6,200 Views
12 Pages

A New Chaotic System with Stable Equilibrium: Entropy Analysis, Parameter Estimation, and Circuit Design

  • Tomasz Kapitaniak,
  • S. Alireza Mohammadi,
  • Saad Mekhilef,
  • Fawaz E. Alsaadi,
  • Tasawar Hayat and
  • Viet-Thanh Pham

5 September 2018

In this paper, we introduce a new, three-dimensional chaotic system with one stable equilibrium. This system is a multistable dynamic system in which the strange attractor is hidden. We investigate its dynamic properties through equilibrium analysis,...

(This article belongs to the Special Issue Nonlinear Dynamics and Entropy of Complex Systems with Hidden and Self-excited Attractors)
  • Article
  • Open Access
39 Citations
3,661 Views
16 Pages

5 September 2018

The idea of the Q-neutrosophic soft set emerges from the neutrosophic soft set by upgrading the membership functions to a two-dimensional entity which indicate uncertainty, indeterminacy and falsity. Hence, it is able to deal with two-dimensional inc...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Feature Paper
  • Review
  • Open Access
13 Citations
5,614 Views
17 Pages

5 September 2018

We review a theory that predicts the onset of thermalization in a quantum mechanical coupled non-linear oscillator system, which models the vibrational degrees of freedom of a molecule. A system of N non-linear oscillators perturbed by cubic anharmon...

  • Article
  • Open Access
5 Citations
3,515 Views
16 Pages

5 September 2018

In this study, due to the redundant and irrelevant features contained in the multi-dimensional feature parameter set, the information fusion performance of the subspace learning algorithm was reduced. To solve the above problem, a mutual information...

  • Article
  • Open Access
7 Citations
4,549 Views
20 Pages

Optimal Channel Design: A Game Theoretical Analysis

  • MHR. Khouzani and
  • Pasquale Malacaria

5 September 2018

This paper studies the problem of optimal channel design. For a given input probability distribution and for hard and soft design constraints, the aim here is to design a (probabilistic) channel whose output leaks minimally from its input. To analyse...

(This article belongs to the Special Issue Information Theory in Game Theory)

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Entropy - ISSN 1099-4300