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Entropy, Volume 22, Issue 12

2020 December - 110 articles

Cover Story: Partial information decomposition (PID) and information deltas are two frameworks, each based in information theory, which seek to detect and characterize non-pairwise relationships between variables. This paper unites these frameworks, equating their key expressions. This allows for results in one framework to give insights toward open questions in the other. Furthermore, PID solutions can be mapped onto the space of Delta measures, with its well-characterized geometry. There is no universally accepted solution for PID computation, and this mapping distinguishes at a glance how putative solutions decompose information. We demonstrate this by computing and mapping the solutions of both Bertschinger et al. and Finn et al. for all three-variable, three-letter discrete functions. View this paper
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Articles (110)

  • Article
  • Open Access
7 Citations
4,104 Views
17 Pages

21 December 2020

Neural oscillations reflect rhythmic fluctuations in the synchronization of neuronal populations and play a significant role in neural processing. To further understand the dynamic interactions between different regions in the brain, it is necessary...

  • Article
  • Open Access
5 Citations
3,623 Views
9 Pages

Bivariate Entropy Analysis of Electrocardiographic RR–QT Time Series

  • Bo Shi,
  • Mohammod Abdul Motin,
  • Xinpei Wang,
  • Chandan Karmakar and
  • Peng Li

20 December 2020

QT interval variability (QTV) and heart rate variability (HRV) are both accepted biomarkers for cardiovascular events. QTV characterizes the variations in ventricular depolarization and repolarization. It is a predominant element of HRV. However, QTV...

(This article belongs to the Special Issue Entropy in Data Analysis)
  • Article
  • Open Access
7 Citations
3,578 Views
19 Pages

20 December 2020

As a fundamental infrastructure of energy supply for future society, energy Internet (EI) can achieve clean energy generation, conversion, storage and consumption in a more economic and safer way. This paper demonstrates the technology principle of a...

  • Article
  • Open Access
31 Citations
5,836 Views
21 Pages

20 December 2020

The lack of adequate indicators in the research of digital economy may lead to the shortage of data support on decision making for governments. To solve this problem, first we establish a digital economy indicator evaluation system by dividing the di...

  • Article
  • Open Access
35 Citations
6,115 Views
25 Pages

19 December 2020

The growing interest in machine learning methods has raised the need for a careful study of their application to the experimental single-particle tracking data. In this paper, we present the differences in the classification of the fractional anomalo...

(This article belongs to the Special Issue Recent Advances in Single-Particle Tracking: Experiment and Analysis)
  • Article
  • Open Access
20 Citations
6,437 Views
26 Pages

Emerging Complexity in Distributed Intelligent Systems

  • Valentina Guleva,
  • Egor Shikov,
  • Klavdiya Bochenina,
  • Sergey Kovalchuk,
  • Alexander Alodjants and
  • Alexander Boukhanovsky

19 December 2020

Distributed intelligent systems (DIS) appear where natural intelligence agents (humans) and artificial intelligence agents (algorithms) interact, exchanging data and decisions and learning how to evolve toward a better quality of solutions. The netwo...

(This article belongs to the Special Issue Quantum Probability and Randomness II)
  • Editorial
  • Open Access
3 Citations
2,727 Views
5 Pages

Nonlinear Dynamics and Entropy of Complex Systems with Hidden and Self-Excited Attractors II

  • Christos K. Volos,
  • Sajad Jafari,
  • Jesus M. Munoz-Pacheco,
  • Jacques Kengne and
  • Karthikeyan Rajagopal

18 December 2020

According to the pioneering work of Leonov and Kuznetsov [...]

(This article belongs to the Special Issue Nonlinear Dynamics and Entropy of Complex Systems with Hidden and Self-Excited Attractors II)
  • Article
  • Open Access
9 Citations
5,549 Views
29 Pages

A Continuous-Time Random Walk Extension of the Gillis Model

  • Gaia Pozzoli,
  • Mattia Radice,
  • Manuele Onofri and
  • Roberto Artuso

18 December 2020

We consider a continuous-time random walk which is the generalization, by means of the introduction of waiting periods on sites, of the one-dimensional non-homogeneous random walk with a position-dependent drift known in the mathematical literature a...

(This article belongs to the Special Issue New Trends in Random Walks)
  • Article
  • Open Access
60 Citations
14,408 Views
34 Pages

Generalised Geometric Brownian Motion: Theory and Applications to Option Pricing

  • Viktor Stojkoski,
  • Trifce Sandev,
  • Lasko Basnarkov,
  • Ljupco Kocarev and
  • Ralf Metzler

18 December 2020

Classical option pricing schemes assume that the value of a financial asset follows a geometric Brownian motion (GBM). However, a growing body of studies suggest that a simple GBM trajectory is not an adequate representation for asset dynamics, due t...

(This article belongs to the Special Issue New Trends in Random Walks)
  • Article
  • Open Access
6 Citations
4,757 Views
68 Pages

18 December 2020

How, if at all, consciousness can be part of the physical universe remains a baffling problem. This article outlines a new, developing philosophical theory of how it could do so, and offers a preliminary mathematical formulation of a physical groundi...

(This article belongs to the Special Issue Models of Consciousness)
  • Article
  • Open Access
11 Citations
7,329 Views
14 Pages

18 December 2020

Deep Neural Networks (DNNs) are often examined at the level of their response to input, such as analyzing the mutual information between nodes and data sets. Yet DNNs can also be examined at the level of causation, exploring “what does what&rdq...

(This article belongs to the Special Issue The Role of Signal Processing and Information Theory in Modern Machine Learning)
  • Perspective
  • Open Access
9 Citations
4,650 Views
14 Pages

Prospects of Observing Ionic Coulomb Blockade in Artificial Ion Confinements

  • Andrey Chernev,
  • Sanjin Marion and
  • Aleksandra Radenovic

18 December 2020

Nanofluidics encompasses a wide range of advanced approaches to study charge and mass transport at the nanoscale. Modern technologies allow us to develop and improve artificial nanofluidic platforms that confine ions in a way similar to single-ion ch...

(This article belongs to the Special Issue Physics of Ionic Conduction in Narrow Biological and Artificial Channels)
  • Article
  • Open Access
4 Citations
3,138 Views
14 Pages

18 December 2020

The integrative analysis of copy number alteration (CNA) and gene expression (GE) is an essential part of cancer research considering the impact of CNAs on cancer progression and prognosis. In this research, an integrative analysis was performed with...

(This article belongs to the Special Issue Statistical Inference from High Dimensional Data)
  • Article
  • Open Access
27 Citations
6,956 Views
26 Pages

18 December 2020

The presence of chaos in the financial markets has been the subject of a great number of studies, but the results have been contradictory and inconclusive. This research tests for the existence of nonlinear patterns and chaotic nature in four major s...

(This article belongs to the Special Issue Complexity in Economic and Social Systems)
  • Article
  • Open Access
38 Citations
9,888 Views
20 Pages

Foundations of the Quaternion Quantum Mechanics

  • Marek Danielewski and
  • Lucjan Sapa

17 December 2020

We show that quaternion quantum mechanics has well-founded mathematical roots and can be derived from the model of the elastic continuum by French mathematician Augustin Cauchy, i.e., it can be regarded as representing the physical reality of elastic...

(This article belongs to the Special Issue Quantum Mechanics and Its Foundations)
  • Article
  • Open Access
4 Citations
5,961 Views
20 Pages

17 December 2020

This paper develops a method for assessing portfolio tail risk based on extreme value theory. The technique applies separate estimations of univariate series and allows for closed-form expressions for Value at Risk and Expected Shortfall. Its forecas...

(This article belongs to the Special Issue Extreme Value Theory)
  • Article
  • Open Access
24 Citations
7,602 Views
19 Pages

17 December 2020

The demand for high-data-rate and time-sensitive applications, such as 4k/8k video streaming and real-time augmented reality (AR), virtual reality (VR), and gaming, has increased significantly. Addressing the inefficiency of distributed channel acces...

(This article belongs to the Special Issue Information Theory and 5G/6G Mobile Communications)
  • Article
  • Open Access
5 Citations
3,445 Views
14 Pages

17 December 2020

In order to effectively improve the quality of side information in distributed video coding, we propose a side information generation scheme based on a coefficient matrix improvement model. The discrete cosine transform coefficient bands of the Wyner...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Article
  • Open Access
10 Citations
4,704 Views
36 Pages

Multi-Modal Medical Image Fusion Based on FusionNet in YIQ Color Space

  • Kai Guo,
  • Xiongfei Li,
  • Hongrui Zang and
  • Tiehu Fan

17 December 2020

In order to obtain the physiological information and key features of source images to the maximum extent, improve the visual effect and clarity of the fused image, and reduce the computation, a multi-modal medical image fusion framework based on feat...

  • Article
  • Open Access
10 Citations
3,216 Views
16 Pages

16 December 2020

Although many chaotic systems with time delays have been studied in recent years, most studies have only focused on the theoretical level, without special applications. Therefore, we present a basic introduction of a time delay complex Chen chaotic s...

  • Article
  • Open Access
5 Citations
3,400 Views
24 Pages

16 December 2020

Unambiguous quantum state discrimination is a strategy where the conclusive result can always be trusted. This strategy is very important, since it can be used for various quantum information protocols, including quantum key distribution. However, in...

(This article belongs to the Section Quantum Information)
  • Article
  • Open Access
36 Citations
7,358 Views
14 Pages

16 December 2020

Advancement of accurate models for predicting real estate price is of utmost importance for urban development and several critical economic functions. Due to the significant uncertainties and dynamic variables, modeling real estate has been studied a...

(This article belongs to the Special Issue Artificial Intelligence and Computational Methods in the Modeling of Complex Systems)
  • Article
  • Open Access
4 Citations
3,371 Views
22 Pages

15 December 2020

This paper applies the entropy-based fractal indexing scheme that enables the grid environment for fast indexing and querying. It addresses the issue of fault tolerance and load balancing-based fractal management to make computational grids more effe...

(This article belongs to the Special Issue Entropy and Its Applications across Disciplines II)
  • Article
  • Open Access
12 Citations
5,616 Views
14 Pages

15 December 2020

Completely locked-in state (CLIS) patients are unable to speak and have lost all muscle movement. From the external view, the internal brain activity of such patients cannot be easily perceived, but CLIS patients are considered to still be conscious...

(This article belongs to the Special Issue Information Theory in Computational Neuroscience)
  • Review
  • Open Access
150 Citations
11,590 Views
24 Pages

15 December 2020

Electric power forecasting plays a substantial role in the administration and balance of current power systems. For this reason, accurate predictions of service demands are needed to develop better programming for the generation and distribution of p...

(This article belongs to the Special Issue Time Series Modelling)
  • Article
  • Open Access
6 Citations
3,895 Views
18 Pages

Dichotomic Decision Optimization for the Design of HVDC Superconducting Links

  • Javier Muñoz-Antón,
  • Adela Marian,
  • Frédéric Lesur and
  • Christian-Eric Bruzek

15 December 2020

Superconducting links are an innovative solution for bulk power transmission, distinguished by their compact dimensions, high efficiency and small environmental footprint. As with any new technology field, there is a large amount of design possibilit...

(This article belongs to the Special Issue Thermodynamic Optimization of Complex Energy Systems)
  • Review
  • Open Access
78 Citations
9,096 Views
26 Pages

15 December 2020

Information entropy metrics have been applied to a wide range of problems that were abstracted as complex networks. This growing body of research is scattered in multiple disciplines, which makes it difficult to identify available metrics and underst...

(This article belongs to the Special Issue Review Papers for Entropy)
  • Article
  • Open Access
32 Citations
4,316 Views
19 Pages

15 December 2020

This paper aims toward the improvement of the limitations of traditional failure mode and effect analysis (FMEA) and examines the crucial failure modes and components for railway train operation. In order to overcome the drawbacks of current FMEA, th...

  • Article
  • Open Access
9 Citations
3,997 Views
27 Pages

15 December 2020

Data from smart grids are challenging to analyze due to their very large size, high dimensionality, skewness, sparsity, and number of seasonal fluctuations, including daily and weekly effects. With the data arriving in a sequential form the underlyin...

(This article belongs to the Special Issue Sensor Data Analytics: Challenges and Methods for Data-Intensive Applications)
  • Article
  • Open Access
2 Citations
3,449 Views
22 Pages

15 December 2020

In order to investigate the influence of steam ingestion on the aerodynamic stability of a two-stage low-speed axial-flow compressor, multiphase flow numerical simulation and experiment were carried out. The total pressure ratio and stall margin of t...

  • Article
  • Open Access
3 Citations
3,525 Views
12 Pages

15 December 2020

In the past decades, there has been an increasing literature on the presence of an inertial energy cascade in interplanetary space plasma, being interpreted as the signature of Magnetohydrodynamic turbulence (MHD) for both fields and passive scalars....

(This article belongs to the Section Complexity)
  • Article
  • Open Access
20 Citations
5,991 Views
25 Pages

Statistical Features in High-Frequency Bands of Interictal iEEG Work Efficiently in Identifying the Seizure Onset Zone in Patients with Focal Epilepsy

  • Most. Sheuli Akter,
  • Md. Rabiul Islam,
  • Toshihisa Tanaka,
  • Yasushi Iimura,
  • Takumi Mitsuhashi,
  • Hidenori Sugano,
  • Duo Wang and
  • Md. Khademul Islam Molla

15 December 2020

The design of a computer-aided system for identifying the seizure onset zone (SOZ) from interictal and ictal electroencephalograms (EEGs) is desired by epileptologists. This study aims to introduce the statistical features of high-frequency component...

(This article belongs to the Section Signal and Data Analysis)
  • Feature Paper
  • Article
  • Open Access
4 Citations
3,167 Views
9 Pages

14 December 2020

In Information Geometry, the unit sphere of Lp spaces plays an important role. In this paper, the aim is list a number of open problems, in classical and quantum IG, which are related to Lp geometry.

(This article belongs to the Section Quantum Information)
  • Article
  • Open Access
10 Citations
5,158 Views
22 Pages

13 December 2020

Since 2001, cardiovascular disease (CVD) has had the second-highest mortality rate, about 15,700 people per year, in Taiwan. It has thus imposed a substantial burden on medical resources. This study was triggered by the following three factors. First...

(This article belongs to the Section Entropy and Biology)
  • Article
  • Open Access
5 Citations
3,644 Views
21 Pages

13 December 2020

We apply the recently developed reduced Google matrix algorithm for the analysis of the OECD-WTO World Network of Economic Activities. This approach allows to determine interdependencies and interactions of economy sectors of several countries, inclu...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Article
  • Open Access
11 Citations
7,658 Views
17 Pages

Testing of Multifractional Brownian Motion

  • Michał Balcerek and
  • Krzysztof Burnecki

12 December 2020

Fractional Brownian motion (FBM) is a generalization of the classical Brownian motion. Most of its statistical properties are characterized by the self-similarity (Hurst) index 0<H<1. In nature one often observes changes in the dynamics of a sy...

(This article belongs to the Special Issue Recent Advances in Single-Particle Tracking: Experiment and Analysis)
  • Article
  • Open Access
8 Citations
3,762 Views
17 Pages

Assessment of Nocturnal Autonomic Cardiac Imbalance in Positional Obstructive Sleep Apnea. A Multiscale Nonlinear Approach

  • Daniel Álvarez,
  • C. Ainhoa Arroyo,
  • Julio F. de Frutos,
  • Andrea Crespo,
  • Ana Cerezo-Hernández,
  • Gonzalo C. Gutiérrez-Tobal,
  • Fernando Vaquerizo-Villar,
  • Verónica Barroso-García,
  • Fernando Moreno and
  • Félix del Campo
  • + 2 authors

12 December 2020

Positional obstructive sleep apnea (POSA) is a major phenotype of sleep apnea. Supine-predominant positional patients are frequently characterized by milder symptoms and less comorbidity due to a lower age, body mass index, and overall apnea-hypopnea...

(This article belongs to the Special Issue Entropy and Sleep Disorders II)
  • Article
  • Open Access
3 Citations
3,881 Views
19 Pages

A Robust Solution to Variational Importance Sampling of Minimum Variance

  • Jerónimo Hernández-González and
  • Jesús Cerquides

12 December 2020

Importance sampling is a Monte Carlo method where samples are obtained from an alternative proposal distribution. This can be used to focus the sampling process in the relevant parts of space, thus reducing the variance. Selecting the proposal that l...

(This article belongs to the Special Issue Bayesian Inference in Probabilistic Graphical Models)
  • Article
  • Open Access
3 Citations
2,112 Views
9 Pages

Exploiting the Massey Gap

  • Andrei Tănăsescu and
  • Pantelimon George Popescu

11 December 2020

In this paper, we find new refinements to the Massey inequality, which relates the Shannon and guessing entropies, introducing a new concept: the Massey gap. By shrinking the Massey gap, we improve all previous work without introducing any new parame...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Article
  • Open Access
8 Citations
3,465 Views
16 Pages

11 December 2020

The intermittent distribution of localized turbulent structures is a key feature of the subcritical transitions in channel flows, which are studied in this paper with a wind channel and theoretical modeling. Entrance disturbances are introduced by sm...

(This article belongs to the Special Issue Intermittency in Transitional Shear Flows)
  • Article
  • Open Access
12 Citations
5,948 Views
21 Pages

Heterogeneous Graphical Granger Causality by Minimum Message Length

  • Kateřina Hlaváčková-Schindler and
  • Claudia Plant

11 December 2020

The heterogeneous graphical Granger model (HGGM) for causal inference among processes with distributions from an exponential family is efficient in scenarios when the number of time observations is much greater than the number of time series, normall...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Article
  • Open Access
7 Citations
3,447 Views
30 Pages

Reconstructing Nonparametric Productivity Networks

  • Moriah B. Bostian,
  • Cinzia Daraio,
  • Rolf Färe,
  • Shawna Grosskopf,
  • Maria Grazia Izzo,
  • Luca Leuzzi,
  • Giancarlo Ruocco and
  • William L. Weber

11 December 2020

Network models provide a general representation of inter-connected system dynamics. This ability to connect systems has led to a proliferation of network models for economic productivity analysis, primarily estimated non-parametrically using Data Env...

(This article belongs to the Special Issue Entropy and Its Applications across Disciplines II)
  • Article
  • Open Access
5 Citations
3,488 Views
20 Pages

Exploring the Neighborhood of q-Exponentials

  • Henrique Santos Lima and
  • Constantino Tsallis

11 December 2020

The q-exponential form eqx≡[1+(1−q)x]1/(1−q)(e1x=ex) is obtained by optimizing the nonadditive entropy Sq≡k1−∑ipiqq−1 (with S1=SBG≡−k∑ipilnpi, where BG stands for Boltzmann–Gibbs) under si...

(This article belongs to the Special Issue Statistical Methods for Complex Systems)
  • Article
  • Open Access
1 Citations
2,929 Views
8 Pages

Random Matrix Theory Analysis of a Temperature-Related Transformation in Statistics of Fano–Feshbach Resonances in Thulium Atoms

  • Emil T. Davletov,
  • Vladislav V. Tsyganok,
  • Vladimir A. Khlebnikov,
  • Daniil A. Pershin and
  • Alexey V. Akimov

10 December 2020

Recently, the transformation from random to chaotic behavior in the statistics of Fano–Feshbach resonances was observed in thulium atoms with rising ensemble temperature. We performed random matrix theory simulations of such spectra and analyze...

(This article belongs to the Special Issue Exploring the NP-Complexity of Nature: Critical Phenomena, Chaos, Fractals, Graphs, Boson Sampling, Quantum Computing and More)
  • Perspective
  • Open Access
8 Citations
3,608 Views
5 Pages

10 December 2020

A recent article in Nature Physics unified key results from thermodynamics, statistics, and information theory. The unification arose from a general equation for the rate of change in the information content of a system. The general equation describe...

(This article belongs to the Section Thermodynamics)
  • Article
  • Open Access
18 Citations
4,355 Views
28 Pages

10 December 2020

Entropy profiling is a recently introduced approach that reduces parametric dependence in traditional Kolmogorov-Sinai (KS) entropy measurement algorithms. The choice of the threshold parameter r of vector distances in traditional entropy computation...

(This article belongs to the Special Issue Symbolic Entropy Analysis and Its Applications II)
  • Article
  • Open Access
21 Citations
4,196 Views
17 Pages

10 December 2020

A shock wave that is characterized by sharp physical gradients always draws the medium out of equilibrium. In this work, both hydrodynamic and thermodynamic nonequilibrium effects around the shock wave are investigated using a discrete Boltzmann mode...

(This article belongs to the Special Issue Entropy-based Methods in In and Out of Equilibrium Systems)
  • Article
  • Open Access
1 Citations
3,075 Views
18 Pages

9 December 2020

Voltage-gated sodium channels (NaVs) play fundamental roles in eukaryotes, but their exceptional size hinders their structural resolution. Bacterial NaVs are simplified homologues of their eukaryotic counterparts, but their use as models of eukaryoti...

(This article belongs to the Special Issue Physics of Ionic Conduction in Narrow Biological and Artificial Channels)

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Entropy - ISSN 1099-4300