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Entropy, Volume 22, Issue 4

2020 April - 120 articles

Cover Story: Here, we motivate a geometric perspective of the concept of information flow between components of a complex dynamical system. The most popular methods in this area are probabilistic in nature, including the Nobel-prize-winning work on Granger causality, and also the recently highly popular transfer entropy. Beyond conceptual advancement, a geometric description of causality further allows for new and efficient computational methods of causality inference. In this direction, we introduce a new measure of causal inference based on contrasting fractal correlation dimensions, conditionally applied to compete for explanations of future forecasts. In this setting, we believe our geometric interpretation of information flow has both computational efficiency and theoretical interpretation reasons to contribute positively to many fields of science. View this paper.
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Articles (120)

  • Article
  • Open Access
4 Citations
3,217 Views
11 Pages

24 April 2020

In this paper, we consider limit probability distributions of the quantum walk recently introduced by Wang and Ye (C.S. Wang and X.J. Ye, Quantum walk in terms of quantum Bernoulli noises, Quantum Inf. Process. 15 (2016), no. 5, 1897–1908). We...

  • Article
  • Open Access
17 Citations
4,454 Views
18 Pages

24 April 2020

Dempster–Shafer evidence theory (DS theory) has some superiorities in uncertain information processing for a large variety of applications. However, the problem of how to quantify the uncertainty of basic probability assignment (BPA) in DS theo...

  • Article
  • Open Access
10 Citations
4,225 Views
20 Pages

An Efficient, Parallelized Algorithm for Optimal Conditional Entropy-Based Feature Selection

  • Gustavo Estrela,
  • Marco Dimas Gubitoso,
  • Carlos Eduardo Ferreira,
  • Junior Barrera and
  • Marcelo S. Reis

24 April 2020

In Machine Learning, feature selection is an important step in classifier design. It consists of finding a subset of features that is optimum for a given cost function. One possibility to solve feature selection is to organize all possible feature su...

  • Article
  • Open Access
1 Citations
3,259 Views
13 Pages

Useful Dual Functional of Entropic Information Measures

  • Angelo Plastino,
  • Mario Carlos Rocca and
  • Flavia Pennini

24 April 2020

There are entropic functionals galore, but not simple objective measures to distinguish between them. We remedy this situation here by appeal to Born’s proposal, of almost a hundred years ago, that the square modulus of any wave function |...

  • Article
  • Open Access
8 Citations
4,165 Views
14 Pages

Comparison of Outlier-Tolerant Models for Measuring Visual Complexity

  • Adrian Carballal,
  • Carlos Fernandez-Lozano,
  • Nereida Rodriguez-Fernandez,
  • Iria Santos and
  • Juan Romero

24 April 2020

Providing the visual complexity of an image in terms of impact or aesthetic preference can be of great applicability in areas such as psychology or marketing. To this end, certain areas such as Computer Vision have focused on identifying features and...

  • Article
  • Open Access
4 Citations
5,819 Views
12 Pages

24 April 2020

Information theory provides a powerful framework to analyse the representation of sensory stimuli in neural population activity. However, estimating the quantities involved such as entropy and mutual information from finite samples is notoriously har...

  • Article
  • Open Access
4 Citations
3,874 Views
28 Pages

24 April 2020

The design and optimization of new-generation solid-state quantum hardware absolutely requires reliable dissipation versus decoherence models. Depending on the device operational condition, the latter may range from Markov-type schemes (both phenomen...

  • Article
  • Open Access
13 Citations
3,934 Views
22 Pages

24 April 2020

In this study, we consider the problem of testing for a parameter change in general integer-valued time series models whose conditional distribution belongs to the one-parameter exponential family when the data are contaminated by outliers. In partic...

  • Feature Paper
  • Article
  • Open Access
7 Citations
7,805 Views
24 Pages

On the Structure of the World Economy: An Absorbing Markov Chain Approach

  • Olivera Kostoska,
  • Viktor Stojkoski and
  • Ljupco Kocarev

23 April 2020

The expansion of global production networks has raised many important questions about the interdependence among countries and how future changes in the world economy are likely to affect the countries’ positioning in global value chains. We are...

  • Correction
  • Open Access
2,425 Views
2 Pages

23 April 2020

The authors were not aware of some errors and imprecise descriptions made in the proofreading phase, therefore, we wish to make the following corrections to this paper [...]

  • Article
  • Open Access
147 Citations
11,498 Views
23 Pages

Melanoma and Nevus Skin Lesion Classification Using Handcraft and Deep Learning Feature Fusion via Mutual Information Measures

  • Jose-Agustin Almaraz-Damian,
  • Volodymyr Ponomaryov,
  • Sergiy Sadovnychiy and
  • Heydy Castillejos-Fernandez

23 April 2020

In this paper, a new Computer-Aided Detection (CAD) system for the detection and classification of dangerous skin lesions (melanoma type) is presented, through a fusion of handcraft features related to the medical algorithm ABCD rule (Asymmetry Borde...

  • Article
  • Open Access
71 Citations
5,392 Views
15 Pages

Cooperation on Interdependent Networks by Means of Migration and Stochastic Imitation

  • Sayantan Nag Chowdhury,
  • Srilena Kundu,
  • Maja Duh,
  • Matjaž Perc and
  • Dibakar Ghosh

23 April 2020

Evolutionary game theory in the realm of network science appeals to a lot of research communities, as it constitutes a popular theoretical framework for studying the evolution of cooperation in social dilemmas. Recent research has shown that cooperat...

  • Article
  • Open Access
5 Citations
4,003 Views
22 Pages

22 April 2020

A major challenge in neuroscience is to understand the role of the higher-order correlations structure of neuronal populations. The dichotomized Gaussian model (DG) generates spike trains by means of thresholding a multivariate Gaussian random variab...

  • Article
  • Open Access
34 Citations
5,135 Views
16 Pages

22 April 2020

The fault samples of high voltage circuit breakers are few, the vibration signals are complex, the existing research methods cannot extract the effective information in the features, and it is easy to overfit, slow training, and other problems. To im...

  • Article
  • Open Access
31 Citations
3,962 Views
26 Pages

22 April 2020

Magnetohydrodynamic (MHD) flow with Hall current has numerous applications in industrial areas such as Hall current accelerators, MHD power generators, planetary dynamics, Hall current sensors, etc. In this paper, the analysis of an unsteady MHD Cass...

  • Article
  • Open Access
2 Citations
3,965 Views
18 Pages

Binary Expression Enhances Reliability of Messaging in Gene Networks

  • Leonardo R. Gama,
  • Guilherme Giovanini,
  • Gábor Balázsi and
  • Alexandre F. Ramos

22 April 2020

The promoter state of a gene and its expression levels are modulated by the amounts of transcription factors interacting with its regulatory regions. Hence, one may interpret a gene network as a communicating system in which the state of the promoter...

  • Article
  • Open Access
24 Citations
5,143 Views
23 Pages

22 April 2020

The article studies the simulation-based mathematical modeling of bioheat transfer under the Dirichlet boundary condition. We used complex non-linear dual-phase-lag bioheat transfer (DPLBHT) for analyzing the temperature distribution in skin tissues...

  • Article
  • Open Access
9 Citations
4,376 Views
20 Pages

21 April 2020

The main objective of this paper is to present and analyze an innovative configuration of integrated solar combined cycle (ISCC). As novelties, the plant includes a recuperative gas turbine and the conventional bottoming Rankine cycle is replaced by...

  • Article
  • Open Access
5 Citations
3,116 Views
17 Pages

20 April 2020

This article provides symbolic analysis tools for specifying spatial econometric models. It firstly considers testing spatial dependence in the presence of potential leading deterministic spatial components (similar to time-series tests for unit root...

  • Article
  • Open Access
29 Citations
4,296 Views
20 Pages

20 April 2020

Due to the complexity and variability of underwater acoustic channels, ship-radiated noise (SRN) detected using the passive sonar is prone to be distorted. The entropy-based feature extraction method can improve this situation, to some extent. Howeve...

  • Article
  • Open Access
6 Citations
3,653 Views
18 Pages

Equation of State of Four- and Five-Dimensional Hard-Hypersphere Mixtures

  • Mariano López de Haro,
  • Andrés Santos and
  • Santos B. Yuste

20 April 2020

New proposals for the equation of state of four- and five-dimensional hard-hypersphere mixtures in terms of the equation of state of the corresponding monocomponent hard-hypersphere fluid are introduced. Such proposals (which are constructed in such...

  • Article
  • Open Access
2 Citations
3,740 Views
13 Pages

20 April 2020

In this note, we introduce excess strategic entropy—an entropy-based measure of complexity of the strategy. It measures complexity and predictability of the (mixed) strategy of a player. We show and discuss properties of this measure and its po...

  • Article
  • Open Access
32 Citations
5,691 Views
24 Pages

20 April 2020

A non-Hermitian operator H defined in a Hilbert space with inner product · | · may serve as the Hamiltonian for a unitary quantum system if it is η -pseudo-Hermitian for a metric operator (positive-definit...

  • Article
  • Open Access
7 Citations
4,468 Views
12 Pages

20 April 2020

Proteins are characterized by their structures and functions, and these two fundamental aspects of proteins are assumed to be related. To model such a relationship, a single representation to model both protein structure and function would be conveni...

  • Article
  • Open Access
19 Citations
5,890 Views
16 Pages

20 April 2020

Cross-domain recommendation is a promising solution in recommendation systems by using relatively rich information from the source domain to improve the recommendation accuracy of the target domain. Most of the existing methods consider the rating in...

  • Article
  • Open Access
48 Citations
5,465 Views
20 Pages

Modification of the Logistic Map Using Fuzzy Numbers with Application to Pseudorandom Number Generation and Image Encryption

  • Lazaros Moysis,
  • Christos Volos,
  • Sajad Jafari,
  • Jesus M. Munoz-Pacheco,
  • Jacques Kengne,
  • Karthikeyan Rajagopal and
  • Ioannis Stouboulos

20 April 2020

A modification of the classic logistic map is proposed, using fuzzy triangular numbers. The resulting map is analysed through its Lyapunov exponent (LE) and bifurcation diagrams. It shows higher complexity compared to the classic logistic map and sho...

  • Article
  • Open Access
17 Citations
3,542 Views
14 Pages

20 April 2020

A heat conduction model with an arrow-shaped high thermal conductivity channel (ASHTCC) in a square heat generation body (SHGB) is established in this paper. By taking the minimum maximum temperature difference (MMTD) as the optimization goal, constr...

  • Article
  • Open Access
16 Citations
4,846 Views
14 Pages

Tsallis Entropy, Likelihood, and the Robust Seismic Inversion

  • Igo Pedro de Lima,
  • Sérgio Luiz E. F. da Silva,
  • Gilberto Corso and
  • João M. de Araújo

19 April 2020

The nonextensive statistical mechanics proposed by Tsallis have been successfully used to model and analyze many complex phenomena. Here, we study the role of the generalized Tsallis statistics on the inverse problem theory. Most inverse problems are...

  • Article
  • Open Access
10 Citations
4,561 Views
21 Pages

Early Detection of Alzheimer’s Disease: Detecting Asymmetries with a Return Random Walk Link Predictor

  • Manuel Curado,
  • Francisco Escolano,
  • Miguel A. Lozano and
  • Edwin R. Hancock

19 April 2020

Alzheimer’s disease has been extensively studied using undirected graphs to represent the correlations of BOLD signals in different anatomical regions through functional magnetic resonance imaging (fMRI). However, there has been relatively litt...

  • Article
  • Open Access
13 Citations
4,800 Views
58 Pages

18 April 2020

We derive finite-length bounds for two problems with Markov chains: source coding with side-information where the source and side-information are a joint Markov chain and channel coding for channels with Markovian conditional additive noise. For this...

  • Article
  • Open Access
4 Citations
3,045 Views
13 Pages

Environmental Response of 2D Thermal Cloak under Dynamic External Temperature Field

  • Yiyi Li,
  • Haochun Zhang,
  • Mingyuan Sun,
  • Zhenhuan Zhang and
  • Haiming Zhang

18 April 2020

As a typical representative of transformation thermodynamics, which is the counterpart of transformation optics, the thermal cloak has been explored extensively while most current research focuses on the structural design instead of adaptability and...

  • Article
  • Open Access
12 Citations
4,174 Views
18 Pages

Day and Night Changes of Cardiovascular Complexity: A Multi-Fractal Multi-Scale Analysis

  • Paolo Castiglioni,
  • Stefano Omboni,
  • Gianfranco Parati and
  • Andrea Faini

18 April 2020

Recently, a multifractal-multiscale approach to detrended fluctuation analysis (DFA) was proposed to evaluate the cardiovascular fractal dynamics providing a surface of self-similarity coefficients α(q,τ), function of the scale τ, and m...

  • Article
  • Open Access
2 Citations
2,697 Views
11 Pages

18 April 2020

Using the classical Kedem–Katchalsky’ membrane transport theory, a mathematical model was developed and the original concentration volume flux (Jv), solute flux (Js) characteristics, and S-entropy production by Jv, ( ( ψ S ...

  • Article
  • Open Access
7 Citations
5,418 Views
35 Pages

Black-Scholes Theory and Diffusion Processes on the Cotangent Bundle of the Affine Group

  • Amitesh S. Jayaraman,
  • Domenico Campolo and
  • Gregory S. Chirikjian

17 April 2020

The Black-Scholes partial differential equation (PDE) from mathematical finance has been analysed extensively and it is well known that the equation can be reduced to a heat equation on Euclidean space by a logarithmic transformation of variables. Ho...

  • Article
  • Open Access
19 Citations
3,977 Views
21 Pages

17 April 2020

At the classical limit, a multi-stage, endoreversible Carnot cycle model of quantum heat engine (QHE) working with non-interacting harmonic oscillators systems is established in this paper. A simplified combined cycle, where all sub-cycles work at ma...

  • Article
  • Open Access
15 Citations
3,815 Views
15 Pages

17 April 2020

For the modeling of categorical time series, both nominal or ordinal time series, an extension of the basic discrete autoregressive moving-average (ARMA) models is proposed. It uses an observation-driven regime-switching mechanism, leading to the fam...

  • Article
  • Open Access
3 Citations
4,681 Views
21 Pages

Non-Hermitian Hamiltonians and Quantum Transport in Multi-Terminal Conductors

  • Nikolay M. Shubin,
  • Alexander A. Gorbatsevich and
  • Gennadiy Ya. Krasnikov

17 April 2020

We study the transport properties of multi-terminal Hermitian structures within the non-equilibrium Green’s function formalism in a tight-binding approximation. We show that non-Hermitian Hamiltonians naturally appear in the description of coherent t...

  • Opinion
  • Open Access
17 Citations
9,232 Views
19 Pages

16 April 2020

Sentence comprehension requires inferring, from a sequence of words, the structure of syntactic relationships that bind these words into a semantic representation. Our limited ability to build some specific syntactic structures, such as nested center...

  • Article
  • Open Access
22 Citations
4,688 Views
19 Pages

Image Encryption Using Elliptic Curves and Rossby/Drift Wave Triads

  • Ikram Ullah,
  • Umar Hayat and
  • Miguel D. Bustamante

16 April 2020

We propose an image encryption scheme based on quasi-resonant Rossby/drift wave triads (related to elliptic surfaces) and Mordell elliptic curves (MECs). By defining a total order on quasi-resonant triads, at a first stage we construct quasi-resonant...

  • Article
  • Open Access
45 Citations
4,172 Views
21 Pages

16 April 2020

This article elucidates the magnetohydrodynamic 3D Maxwell nanofluid flow with heat absorption/generation effects. The impact of the nonlinear thermal radiation with a chemical reaction is also an added feature of the presented model. The phenomenon...

  • Article
  • Open Access
40 Citations
4,047 Views
13 Pages

Upgrading Model Selection Criteria with Goodness of Fit Tests for Practical Applications

  • Riccardo Rossi,
  • Andrea Murari,
  • Pasquale Gaudio and
  • Michela Gelfusa

15 April 2020

The Bayesian information criterion (BIC), the Akaike information criterion (AIC), and some other indicators derived from them are widely used for model selection. In their original form, they contain the likelihood of the data given the models. Unfor...

  • Article
  • Open Access
15 Citations
3,352 Views
14 Pages

Optimal Thermodynamic Processes For Gases

  • Alexei Kushner,
  • Valentin Lychagin and
  • Mikhail Roop

15 April 2020

In this paper, we consider an optimal control problem in the equilibrium thermodynamics of gases. The thermodynamic state of the gas is given by a Legendrian submanifold in a contact thermodynamic space. Using Pontryagin’s maximum principle, we...

  • Article
  • Open Access
26 Citations
3,538 Views
24 Pages

Statistical Inference of the Half-Logistic Inverse Rayleigh Distribution

  • Abdullah M. Almarashi,
  • Majdah M. Badr,
  • Mohammed Elgarhy,
  • Farrukh Jamal and
  • Christophe Chesneau

15 April 2020

The inverse Rayleigh distribution finds applications in many lifetime studies, but has not enough overall flexibility to model lifetime phenomena where moderately right-skewed or near symmetrical data are observed. This paper proposes a solution by i...

  • Article
  • Open Access
29 Citations
8,434 Views
19 Pages

Identifying Influencers in Social Networks

  • Xinyu Huang,
  • Dongming Chen,
  • Dongqi Wang and
  • Tao Ren

15 April 2020

Social network analysis is a multidisciplinary research covering informatics, mathematics, sociology, management, psychology, etc. In the last decade, the development of online social media has provided individuals with a fascinating platform of shar...

  • Article
  • Open Access
3 Citations
3,361 Views
17 Pages

Entropy-Based Approach for the Detection of Changes in Arabic Newspapers’ Content

  • Olga Bernikova,
  • Oleg Granichin,
  • Dan Lemberg,
  • Oleg Redkin and
  • Zeev Volkovich

14 April 2020

A new method for the recognition of meaningful changes in social state based on transformations of the linguistic content in Arabic newspapers is suggested. The detected alterations of the linguistic material in Arabic newspapers play an indicator ro...

  • Article
  • Open Access
29 Citations
3,216 Views
9 Pages

14 April 2020

It is critically meaningful to accurately predict the ionospheric F2 layer critical frequency (foF2), which greatly limits the efficiency of communications, radar, and navigation systems. This paper introduced the entropy weight method to develop the...

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Entropy - ISSN 1099-4300