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Entropy, Volume 19, Issue 2

2017 February - 40 articles

Cover Story: It is argued that one should make a clear distinction between Shannon’s Measure of Information (SMI) and Thermodynamic Entropy. The first is defined on any probability distribution whereas Entropy is defined on a very special set of distributions. The entropy measures the uncertainty in the distribution of the locations and momenta of all the particles. The H-function, as defined by Boltzmann, is an SMI, not entropy. Therefore, the H-theorem is irrelevant to the Second Law of Thermodynamics. It is therefore recommended to change the term MaxEnt, to MaxSMI. View this paper
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Articles (40)

  • Article
  • Open Access
12 Citations
9,879 Views
21 Pages

22 February 2017

In our information age, information alone has become a driver of social growth. Information is the fuel of “big data” companies, and the decision-making compass of policy makers. Can we quantify how much information leads to how much social growth po...

  • Article
  • Open Access
42 Citations
10,199 Views
27 Pages

22 February 2017

Quantifying synergy among stochastic variables is an important open problem in information theory. Information synergy occurs when multiple sources together predict an outcome variable better than the sum of single-source predictions. It is an essent...

  • Article
  • Open Access
2 Citations
7,161 Views
50 Pages

Using k-Mix-Neighborhood Subdigraphs to Compute Canonical Labelings of Digraphs

  • Jianqiang Hao,
  • Yunzhan Gong,
  • Yawen Wang,
  • Li Tan and
  • Jianzhi Sun

22 February 2017

This paper presents a novel theory and method to calculate the canonical labelings of digraphs whose definition is entirely different from the traditional definition of Nauty. It indicates the mutual relationships that exist between the canonical lab...

  • Article
  • Open Access
7 Citations
4,579 Views
10 Pages

21 February 2017

We survey new extensions of continuum mechanics incorporating spontaneous violations of the Second Law (SL), which involve the viscous flow and heat conduction. First, following an account of the Fluctuation Theorem (FT) of statistical mechanics that...

  • Article
  • Open Access
9 Citations
7,206 Views
16 Pages

Towards Operational Definition of Postictal Stage: Spectral Entropy as a Marker of Seizure Ending

  • Ancor Sanz-García,
  • Lorena Vega-Zelaya,
  • Jesús Pastor,
  • Rafael G. Sola and
  • Guillermo J. Ortega

21 February 2017

The postictal period is characterized by several neurological alterations, but its exact limits are clinically or even electroencephalographically hard to determine in most cases. We aim to provide quantitative functions or conditions with a clearly...

  • Article
  • Open Access
9 Citations
4,797 Views
12 Pages

21 February 2017

This paper aims to develop a risk-free protection index model for portfolio selection based on the uncertain theory. First, the returns of risk assets are assumed as uncertain variables and subject to reputable experts’ evaluations. Second, under thi...

  • Article
  • Open Access
10 Citations
8,926 Views
21 Pages

21 February 2017

Biometric data can be used as input for PKI key pair generation. The concept of not saving the private key is very appealing, but the implementation of such a system shouldn’t be rushed because it might prove less secure then current PKI infrastructu...

  • Article
  • Open Access
1 Citations
5,167 Views
12 Pages

21 February 2017

Within the Bayesian framework, we utilize Gaussian processes for parametric studies of long running computer codes. Since the simulations are expensive, it is necessary to exploit the computational budget in the best possible manner. Employing the su...

  • Article
  • Open Access
13 Citations
6,991 Views
27 Pages

Breakdown Point of Robust Support Vector Machines

  • Takafumi Kanamori,
  • Shuhei Fujiwara and
  • Akiko Takeda

21 February 2017

Support vector machine (SVM) is one of the most successful learning methods for solving classification problems. Despite its popularity, SVM has the serious drawback that it is sensitive to outliers in training samples. The penalty on misclassification...

  • Article
  • Open Access
26 Citations
5,790 Views
11 Pages

Energy Transfer between Colloids via Critical Interactions

  • Ignacio A. Martínez,
  • Clemence Devailly,
  • Artyom Petrosyan and
  • Sergio Ciliberto

17 February 2017

We report the observation of a temperature-controlled synchronization of two Brownian-particles in a binary mixture close to the critical point of the demixing transition. The two beads are trapped by two optical tweezers whose distance is periodical...

  • Article
  • Open Access
28 Citations
6,480 Views
12 Pages

Classification of Normal and Pre-Ictal EEG Signals Using Permutation Entropies and a Generalized Linear Model as a Classifier

  • Francisco O. Redelico,
  • Francisco Traversaro,
  • María Del Carmen García,
  • Walter Silva,
  • Osvaldo A. Rosso and
  • Marcelo Risk

16 February 2017

In this contribution, a comparison between different permutation entropies as classifiers of electroencephalogram (EEG) records corresponding to normal and pre-ictal states is made. A discrete probability distribution function derived from symbolizat...

  • Article
  • Open Access
15 Citations
5,957 Views
15 Pages

Identifying Critical States through the Relevance Index

  • Andrea Roli,
  • Marco Villani,
  • Riccardo Caprari and
  • Roberto Serra

16 February 2017

The identification of critical states is a major task in complex systems, and the availability of measures to detect such conditions is of utmost importance. In general, criticality refers to the existence of two qualitatively different behaviors tha...

  • Article
  • Open Access
29 Citations
10,286 Views
29 Pages

16 February 2017

Williams and Beer (2010) proposed a nonnegative mutual information decomposition, based on the construction of information gain lattices, which allows separating the information that a set of variables contains about another variable into components,...

  • Article
  • Open Access
11 Citations
7,859 Views
23 Pages

An Approach to Data Analysis in 5G Networks

  • Lorena Isabel Barona López,
  • Jorge Maestre Vidal and
  • Luis Javier García Villalba

16 February 2017

5G networks expect to provide significant advances in network management compared to traditional mobile infrastructures by leveraging intelligence capabilities such as data analysis, prediction, pattern recognition and artificial intelligence. The ke...

  • Article
  • Open Access
9 Citations
7,777 Views
13 Pages

16 February 2017

Aging causes foot arches to collapse, possibly leading to foot deformities and falls. This paper proposes a set of measures involving an entropy-based method used for two groups of young adults with dissimilar foot arches to explore and quantize post...

  • Article
  • Open Access
5 Citations
5,474 Views
7 Pages

Information Loss in Binomial Data Due to Data Compression

  • Susan E. Hodge and
  • Veronica J. Vieland

16 February 2017

This paper explores the idea of information loss through data compression, as occurs in the course of any data analysis, illustrated via detailed consideration of the Binomial distribution. We examine situations where the full sequence of binomial ou...

  • Article
  • Open Access
7 Citations
5,001 Views
21 Pages

15 February 2017

In order to investigate options for improving the maintenance protocol of commercial refrigeration plants, two thermoeconomic diagnosis methods were evaluated on a state-of-the-art refrigeration plant. A common relative indicator was proposed for the...

  • Article
  • Open Access
5 Citations
5,942 Views
12 Pages

Kinetic Theory of a Confined Quasi-Two-Dimensional Gas of Hard Spheres

  • J. Javier Brey,
  • Vicente Buzón,
  • Maria Isabel García de Soria and
  • Pablo Maynar

14 February 2017

The dynamics of a system of hard spheres enclosed between two parallel plates separated a distance smaller than two particle diameters is described at the level of kinetic theory. The interest focuses on the behavior of the quasi-two-dimensional flui...

  • Article
  • Open Access
5 Citations
7,926 Views
15 Pages

An Android Malicious Code Detection Method Based on Improved DCA Algorithm

  • Chundong Wang,
  • Zhiyuan Li,
  • Liangyi Gong,
  • Xiuliang Mo,
  • Hong Yang and
  • Yi Zhao

11 February 2017

Recently, Android malicious code has increased dramatically and the technology of reinforcement is increasingly powerful. Due to the development of code obfuscation and polymorphic deformation technology, the current Android malicious code static det...

  • Article
  • Open Access
6 Citations
6,160 Views
16 Pages

10 February 2017

Response Surface Methodology (RSM) is introduced to optimize the control rod positions in a pressurized water reactor (PWR) core. The widely used 3D-IAEA benchmark problem is selected as the typical PWR core and the neutron flux field is solved. Besi...

  • Concept Paper
  • Open Access
9 Citations
6,315 Views
9 Pages

10 February 2017

The search for hypothetical optimal solutions of landscape composition is a major issue in landscape planning and it can be outlined in a two-dimensional decision space involving economic value and landscape diversity, the latter being considered as...

  • Article
  • Open Access
16 Citations
5,715 Views
19 Pages

10 February 2017

In this paper, we study a supply chain system which consists of one manufacturer and two retailers including a traditional retailer and an online retailer. In order to gain a larger market share, the retailers often take the sales as a decision-makin...

  • Article
  • Open Access
11 Citations
5,610 Views
13 Pages

Investigation into Multi-Temporal Scale Complexity of Streamflows and Water Levels in the Poyang Lake Basin, China

  • Feng Huang,
  • Xunzhou Chunyu,
  • Yuankun Wang,
  • Yao Wu,
  • Bao Qian,
  • Lidan Guo,
  • Dayong Zhao and
  • Ziqiang Xia

10 February 2017

The streamflow and water level complexity of the Poyang Lake basin has been investigated over multiple time-scales using daily observations of the water level and streamflow spanning from 1954 through 2013. The composite multiscale sample entropy was...

  • Editorial
  • Open Access
8 Citations
4,310 Views
4 Pages

Complex and Fractional Dynamics

  • J. A. Tenreiro Machado and
  • António M. Lopes

8 February 2017

Complex systems (CS) are pervasive in many areas, namely financial markets; highway transportation; telecommunication networks; world and country economies; social networks; immunological systems; living organisms; computational systems; and electric...

  • Editorial
  • Open Access
2 Citations
4,193 Views
3 Pages

Computational Complexity

  • J. A. Tenreiro Machado and
  • António M. Lopes

7 February 2017

Complex systems (CS) involve many elements that interact at different scales in time and space. The challenges in modeling CS led to the development of novel computational tools with applications in a wide range of scientific areas. The computational...

  • Article
  • Open Access
13 Citations
6,024 Views
13 Pages

7 February 2017

We advance two nonlinear wave equations related to the nonextensive thermostatistical formalism based upon the power-law nonadditive S q entropies. Our present contribution is in line with recent developments, where nonlinear extensions inspi...

  • Article
  • Open Access
2 Citations
4,987 Views
13 Pages

4 February 2017

In this paper, we investigate the effect of output quantization on the secrecy capacity of the binary-input Gaussian wiretap channel. As a result, a closed-form expression with infinite summation terms of the secrecy capacity of the binary-input Gaus...

  • Article
  • Open Access
7 Citations
6,596 Views
15 Pages

2 February 2017

We compare the application of Bayesian inference and the maximum entropy (MaxEnt) method for the analysis of flow networks, such as water, electrical and transport networks. The two methods have the advantage of allowing a probabilistic prediction of...

  • Article
  • Open Access
60 Citations
5,815 Views
13 Pages

Bateman–Feshbach Tikochinsky and Caldirola–Kanai Oscillators with New Fractional Differentiation

  • Antonio Coronel-Escamilla,
  • José Francisco Gómez-Aguilar,
  • Dumitru Baleanu,
  • Teodoro Córdova-Fraga,
  • Ricardo Fabricio Escobar-Jiménez,
  • Victor H. Olivares-Peregrino and
  • Maysaa Mohamed Al Qurashi

28 January 2017

In this work, the study of the fractional behavior of the Bateman–Feshbach–Tikochinsky and Caldirola–Kanai oscillators by using different fractional derivatives is presented. We obtained the Euler–Lagrange and the Hamiltonian formalisms in order to r...

  • Article
  • Open Access
12 Citations
10,710 Views
19 Pages

28 January 2017

At its origins, thermodynamics was the study of heat and engines. Carnot transformed it into a scientific discipline by explaining engine power in terms of transfer of “caloric”. That idea became the second law of thermodynamics when Thomson and Clau...

  • Article
  • Open Access
7 Citations
7,940 Views
14 Pages

27 January 2017

The scale, inflexion point and maximum point are important scaling parameters for studying growth phenomena with a size following the lognormal function. The width of the size function and its entropy depend on the scale parameter (or the standard de...

  • Article
  • Open Access
39 Citations
9,268 Views
20 Pages

A Mixed Geographically and Temporally Weighted Regression: Exploring Spatial-Temporal Variations from Global and Local Perspectives

  • Jiping Liu,
  • Yangyang Zhao,
  • Yi Yang,
  • Shenghua Xu,
  • Fuhao Zhang,
  • Xiaolu Zhang,
  • Lihong Shi and
  • Agen Qiu

26 January 2017

To capture both global stationarity and spatiotemporal non-stationarity, a novel mixed geographically and temporally weighted regression (MGTWR) model accounting for global and local effects in both space and time is presented. Since the constant and...

  • Article
  • Open Access
5 Citations
5,513 Views
21 Pages

Information Geometric Approach to Recursive Update in Nonlinear Filtering

  • Yubo Li,
  • Yongqiang Cheng,
  • Xiang Li,
  • Xiaoqiang Hua and
  • Yuliang Qin

26 January 2017

The measurement update stage in the nonlinear filtering is considered in the viewpoint of information geometry, and the filtered state is considered as an optimization estimation in parameter space has been corresponded with the iteration in the stat...

  • Article
  • Open Access
361 Citations
18,114 Views
15 Pages

On Wasserstein Two-Sample Testing and Related Families of Nonparametric Tests

  • Aaditya Ramdas,
  • Nicolás García Trillos and
  • Marco Cuturi

26 January 2017

Nonparametric two-sample or homogeneity testing is a decision theoretic problem that involves identifying differences between two random variables without making parametric assumptions about their underlying distributions. The literature is old and r...

  • Article
  • Open Access
51 Citations
6,691 Views
27 Pages

25 January 2017

Machine learning plays a vital role in several modern economic and industrial fields, and selecting an optimized machine learning method to improve time series’ forecasting accuracy is challenging. Advanced machine learning methods, e.g., the support...

  • Article
  • Open Access
35 Citations
7,632 Views
11 Pages

Entropies of the Chinese Land Use/Cover Change from 1990 to 2010 at a County Level

  • Yong Fan,
  • Guangming Yu,
  • Zongyi He,
  • Hailong Yu,
  • Rui Bai,
  • Linru Yang and
  • Di Wu

25 January 2017

Land Use/Cover Change (LUCC) has gradually became an important direction in the research of global changes. LUCC is a complex system, and entropy is a measure of the degree of disorder of a system. According to land use information entropy, this pape...

  • Article
  • Open Access
4 Citations
5,125 Views
13 Pages

24 January 2017

The notion of topological entropy dimension for a Z -action has been introduced to measure the subexponential complexity of zero entropy systems. Given a Z 2 -action, along with a Z 2 -entropy dimension, we also consider a finer no...

  • Article
  • Open Access
51 Citations
17,195 Views
18 Pages

24 January 2017

We start with a clear distinction between Shannon’s Measure of Information (SMI) and the Thermodynamic Entropy. The first is defined on any probability distribution; and therefore it is a very general concept. On the other hand Entropy is defined on...

  • Article
  • Open Access
16 Citations
5,616 Views
16 Pages

24 January 2017

Assembly accuracy significantly affects the performance of precision mechanical systems. In this study, an entropy-based evaluation method for contact strain-energy distribution is proposed to predict the assembly accuracy. Strain energy is utilized...

  • Article
  • Open Access
15 Citations
4,536 Views
24 Pages

24 January 2017

In this paper, we study the existence of homoclinic solutions for the fractional Hamiltonian systems with left and right Liouville–Weyl derivatives. We establish some new results concerning the existence and multiplicity of homoclinic solutions for t...

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Entropy - ISSN 1099-4300