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Entropy, Volume 27, Issue 1

2025 January - 96 articles

Cover Story: Topological constraints, which are typically given by Casimir invariants, foliate the phase space, so that the thermal equilibrium on a leaf may have a nontrivial distribution reflecting the Jacobian heterogeneity of the symplectic coordinates on the leaf. An example of charged particle dynamics in an inhomogeneous magnetic field leads to a natural interpretation of Casimir invariants as adiabatic invariants. Therefore, the foliation of the phase space corresponds to the coarse-graining of microscopic variables. We construct a kinetic theory in a constrained phase space (infinite-dimensional function space of macroscopic fields) and characterize the self-organized structure as a thermal equilibrium on a leaf of the foliated phase space. View this paper
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Articles (96)

  • Article
  • Open Access
24 Citations
3,570 Views
21 Pages

A Resource-Efficient Multi-Entropy Fusion Method and Its Application for EEG-Based Emotion Recognition

  • Jiawen Li,
  • Guanyuan Feng,
  • Chen Ling,
  • Ximing Ren and ,
  • Xin Liu,
  • Shuang Zhang,
  • Leijun Wang,
  • Yanmei Chen,
  • Xianxian Zeng and
  • Rongjun Chen
  • + 5 authors+ 0 author

20 January 2025

Emotion recognition is an advanced technology for understanding human behavior and psychological states, with extensive applications for mental health monitoring, human–computer interaction, and affective computing. Based on electroencephalogra...

(This article belongs to the Special Issue Assessing Complexity in Physiological Systems through Biomedical Signals Analysis II)
  • Article
  • Open Access
2 Citations
2,532 Views
20 Pages

Discontinuous Structural Transitions in Fluids with Competing Interactions

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

20 January 2025

This paper explores how competing interactions in the intermolecular potential of fluids affect their structural transitions. This study employs a versatile potential model with a hard core followed by two constant steps, representing wells or should...

(This article belongs to the Section Statistical Physics)
  • Article
  • Open Access
2 Citations
1,612 Views
23 Pages

Novel Ensemble Approach with Incremental Information Level and Improved Evidence Theory for Attribute Reduction

  • Peng Yu,
  • Yifeng Zheng,
  • Ziwen Liu,
  • Baoya Wei and ,
  • Wenjie Zhang,
  • Ziqiong Lin and
  • Zhehan Li
  • + 2 authors+ 0 author

20 January 2025

With the development of intelligent technology, data in practical applications show exponential growth in quantity and scale. Extracting the most distinguished attributes from complex datasets becomes a crucial problem. The existing attribute reducti...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Article
  • Open Access
6 Citations
2,046 Views
26 Pages

20 January 2025

The formation and development of cities are inseparable from a certain scale of water resources. The information contained in the morphological structures of cities and water systems is often overlooked. Exploring the spatiotemporal evolution of wate...

(This article belongs to the Section Entropy and Biology)
  • Feature Paper
  • Article
  • Open Access
16 Citations
6,842 Views
16 Pages

Maximizing Free Energy Gain

  • Artemy Kolchinsky,
  • Iman Marvian,
  • Can Gokler,
  • Zi-Wen Liu and ,
  • Peter Shor,
  • Oles Shtanko,
  • Kevin Thompson,
  • David Wolpert and
  • Seth Lloyd
  • + 4 authors+ 0 author

20 January 2025

Maximizing the amount of work harvested from an environment is important for a wide variety of biological and technological processes, from energy-harvesting processes such as photosynthesis to energy storage systems such as fuels and batteries. Here...

(This article belongs to the Section Statistical Physics)
  • Feature Paper
  • Article
  • Open Access
5 Citations
4,629 Views
55 Pages

Structured Dynamics in the Algorithmic Agent

  • Giulio Ruffini,
  • Francesca Castaldo and
  • Jakub Vohryzek

19 January 2025

In the Kolmogorov Theory of Consciousness, algorithmic agents utilize inferred compressive models to track coarse-grained data produced by simplified world models, capturing regularities that structure subjective experience and guide action planning....

(This article belongs to the Section Entropy and Biology)
  • Article
  • Open Access
8 Citations
6,229 Views
27 Pages

18 January 2025

Through its initiative known as the Climate Change Act (2008), the Government of the United Kingdom encourages corporations to enhance their environmental performance with the significant aim of reducing targeted greenhouse gas emissions by the year...

(This article belongs to the Special Issue Entropy, Econophysics, and Complexity)
  • Article
  • Open Access
5 Citations
2,558 Views
27 Pages

18 January 2025

Quantum reservoir computing (QRC) has emerged as a promising paradigm for harnessing near-term quantum devices to tackle temporal machine learning tasks. Yet, identifying the mechanisms that underlie enhanced performance remains challenging, particul...

(This article belongs to the Special Issue Quantum Computing in the NISQ Era)
  • Feature Paper
  • Article
  • Open Access
3 Citations
2,042 Views
14 Pages

Statistical Mechanics of Directed Networks

  • Marián Boguñá and
  • M. Ángeles Serrano

18 January 2025

Directed networks are essential for representing complex systems, capturing the asymmetry of interactions in fields such as neuroscience, transportation, and social networks. Directionality reveals how influence, information, or resources flow within...

(This article belongs to the Special Issue 180th Anniversary of Ludwig Boltzmann)
  • Feature Paper
  • Article
  • Open Access
2,330 Views
18 Pages

Fitting Copulas with Maximal Entropy

  • Milan Bubák and
  • Mirko Navara

18 January 2025

We deal with two-dimensional copulas from the perspective of their differential entropy. We formulate a problem of finding a copula with maximum differential entropy when some copula values are given. As expected, the solution is a copula with a piec...

(This article belongs to the Special Issue Quantum Probability and Randomness V)
  • Feature Paper
  • Article
  • Open Access
2 Citations
2,268 Views
22 Pages

18 January 2025

In this paper, we construct q-ary codes for correcting a burst of at most t deletions, where t,q≥2 are arbitrarily fixed positive integers. We consider two scenarios of error correction: the classical error correcting codes, which recover each cod...

(This article belongs to the Special Issue Coding Theory and Its Applications)
  • Article
  • Open Access
23 Citations
3,490 Views
24 Pages

Image Encryption Method Based on Three-Dimensional Chaotic Systems and V-Shaped Scrambling

  • Lei Wang,
  • Wenjun Song,
  • Jiali Di,
  • Xuncai Zhang and
  • Chengye Zou

17 January 2025

With the increasing importance of securing images during network transmission, this paper introduces a novel image encryption algorithm that integrates a 3D chaotic system with V-shaped scrambling techniques. The proposed method begins by constructin...

(This article belongs to the Special Issue Image Encryption and Privacy Protection Based on Chaotic Systems—Second Edition)
  • Article
  • Open Access
10 Citations
6,434 Views
21 Pages

17 January 2025

Accurate forecasting of stock market indices is crucial for investors, financial analysts, and policymakers. The integration of encoder and decoder architectures, coupled with an attention mechanism, has emerged as a powerful approach to enhance pred...

(This article belongs to the Collection Advances in Applied Statistical Mechanics)
  • Article
  • Open Access
11 Citations
2,830 Views
27 Pages

17 January 2025

The co-gasification of biomass and plastic waste offers a promising solution for producing hydrogen-rich syngas, addressing the rising demand for cleaner energy. However, optimizing this complex process to maximize hydrogen yield remains challenging,...

(This article belongs to the Topic AI and Computational Methods for Modelling, Simulations and Optimizing of Advanced Systems: Innovations in Complexity)
  • Article
  • Open Access
6 Citations
4,459 Views
17 Pages

17 January 2025

This paper selects daily stock market trading data of RCEP member countries from 3 December 2007 to 9 December 2024 and employs the Time-Varying Parameter Vector Autoregression (TVP-VAR) model and transfer entropy to measure the time-varying volatili...

(This article belongs to the Section Complexity)
  • Article
  • Open Access
4 Citations
2,460 Views
17 Pages

Bidimensional Increment Entropy for Texture Analysis: Theoretical Validation and Application to Colon Cancer Images

  • Muqaddas Abid,
  • Muhammad Suzuri Hitam,
  • Rozniza Ali,
  • Hamed Azami and
  • Anne Humeau-Heurtier

17 January 2025

Entropy algorithms are widely applied in signal analysis to quantify the irregularity of data. In the realm of two-dimensional data, their two-dimensional forms play a crucial role in analyzing images. Previous works have demonstrated the effectivene...

(This article belongs to the Special Issue Entropy in Biomedical Engineering, 3rd Edition)
  • Article
  • Open Access
5 Citations
3,830 Views
18 Pages

17 January 2025

Accurate Remaining Useful Life (RUL) prediction is vital for effective prognostics in and the health management of industrial equipment, particularly under varying operational conditions. Existing approaches to multi-condition RUL prediction often tr...

(This article belongs to the Section Multidisciplinary Applications)
  • Article
  • Open Access
3 Citations
1,955 Views
17 Pages

17 January 2025

A notable feature of systems with non-Hermitian skin effects is the sensitivity to boundary conditions. In this work, we introduce one type of boundary condition provided by a coupling impurity. We consider a system where a two-level system as an imp...

(This article belongs to the Section Statistical Physics)
  • Article
  • Open Access
2,881 Views
17 Pages

16 January 2025

This paper focuses on differentiating between ideal and non-ideal chemical systems based on their kinetic behavior within a closed isothermal chemical environment. Non-ideality is examined using the non-ideal Marcelin–de Donde model. The analys...

(This article belongs to the Section Non-equilibrium Phenomena)
  • Article
  • Open Access
9 Citations
4,345 Views
14 Pages

Statistical Complexity Analysis of Sleep Stages

  • Cristina D. Duarte,
  • Marianela Pacheco,
  • Francisco R. Iaconis,
  • Osvaldo A. Rosso and ,
  • Gustavo Gasaneo and
  • Claudio A. Delrieux
  • + 1 author+ 0 author

16 January 2025

Studying sleep stages is crucial for understanding sleep architecture, which can help identify various health conditions, including insomnia, sleep apnea, and neurodegenerative diseases, allowing for better diagnosis and treatment interventions. In t...

(This article belongs to the Special Issue Nonlinear Dynamics and Applications—In Honor of Professor Osvaldo Anibal Rosso's 70th Birthday)
  • Article
  • Open Access
7 Citations
4,060 Views
15 Pages

15 January 2025

Electroosmosis reduces the available energy from ion transport arising due to concentration gradients across ion-exchange membranes. This work builds on previous efforts to describe the electroosmosis, the permselectivity and the apparent transport n...

(This article belongs to the Special Issue The Entropy Production—as Cornerstone in Applied Nonequilibrium Thermodynamics—Dedicated to Professor Signe Kjelstrup on the Occasion of Her 75th Birthday)
  • Article
  • Open Access
1,629 Views
6 Pages

The Gibbs Fundamental Relation as a Tool for Relativity

  • Friedrich Herrmann and
  • Michael Pohlig

15 January 2025

When relativistic physics is lectured on, interest is focused on the behavior of mechanical and electromagnetic quantities during a reference frame change. However, not only mechanical and electromagnetic quantities transform during a reference frame...

(This article belongs to the Special Issue 200 Years Anniversary of “Sadi Carnot, Réflexions Sur La Puissance Motrice Du Feu”; Bachelier: Paris, France, 1824)
  • Article
  • Open Access
2 Citations
3,387 Views
23 Pages

Entropies in Electric Circuits

  • Angel Cuadras,
  • Victoria J. Ovejas and
  • Herminio Martínez-García

15 January 2025

The present study examines the relationship between thermal and configurational entropy in two resistors in parallel and in series. The objective is to introduce entropy in electric circuit analysis by considering the impact of system geometry on ene...

(This article belongs to the Section Multidisciplinary Applications)
  • Article
  • Open Access
9 Citations
2,706 Views
16 Pages

Advancing Rice Grain Impurity Segmentation with an Enhanced SegFormer and Multi-Scale Feature Integration

  • Xiulin Qiu,
  • Hongzhi Yao,
  • Qinghua Liu,
  • Hongrui Liu and ,
  • Haozhi Zhang and
  • Mengdi Zhao
  • + 1 author+ 0 author

15 January 2025

During the rice harvesting process, severe occlusion and adhesion exist among multiple targets, such as rice, straw, and leaves, making it difficult to accurately distinguish between rice grains and impurities. To address the current challenges, a li...

(This article belongs to the Special Issue Application of Information Theory to Computer Vision and Image Processing II)
  • Feature Paper
  • Article
  • Open Access
3 Citations
2,878 Views
24 Pages

Maximum-Power Stirling-like Heat Engine with a Harmonically Confined Brownian Particle

  • Irene Prieto-Rodríguez,
  • Antonio Prados and
  • Carlos A. Plata

15 January 2025

Heat engines transform thermal energy into useful work, operating in a cyclic manner. For centuries, they have played a key role in industrial and technological development. Historically, only gases and liquids have been used as working substances, b...

(This article belongs to the Special Issue Control of Driven Stochastic Systems: From Shortcuts to Optimality)
  • Feature Paper
  • Article
  • Open Access
2 Citations
2,248 Views
22 Pages

15 January 2025

Classically, the refractive index of a medium is due to a response on said medium from an electromagnetic field. It has been shown that a single two-level atom interacting with a single photon undergoes dispersion. The following extends that analyses...

(This article belongs to the Section Quantum Information)
  • Feature Paper
  • Article
  • Open Access
6 Citations
3,573 Views
26 Pages

Reporting Standards for Bayesian Network Modelling

  • Martine J. Barons,
  • Anca M. Hanea,
  • Steven Mascaro and
  • Owen Woodberry

15 January 2025

Reproducibility is a key measure of the veracity of a modelling result or finding. In other research areas, notably in medicine, reproducibility is supported by mandating the inclusion of an agreed set of details into every research publication, faci...

(This article belongs to the Special Issue Bayesian Network Modelling in Data Sparse Environments)
  • Article
  • Open Access
6 Citations
5,224 Views
12 Pages

A Post-Processing Method for Quantum Random Number Generator Based on Zero-Phase Component Analysis Whitening

  • Longju Liu,
  • Jie Yang,
  • Mei Wu,
  • Jinlu Liu and ,
  • Wei Huang,
  • Yang Li and
  • Bingjie Xu
  • + 2 authors+ 0 author

14 January 2025

Quantum Random Number Generators (QRNGs) have been theoretically proven to be able to generate completely unpredictable random sequences, and have important applications in many fields. However, the practical implementation of QRNG is always suscepti...

(This article belongs to the Special Issue Network Information Theory and Its Applications)
  • Article
  • Open Access
1 Citations
2,169 Views
17 Pages

14 January 2025

The main aim of this study is to achieve the numerical solution for the Navier–Stokes equations for incompressible, non-turbulent, and subsonic fluid flows with some Gaussian physical uncertainties. The higher-order stochastic finite volume met...

(This article belongs to the Section Multidisciplinary Applications)
  • Article
  • Open Access
7 Citations
3,217 Views
17 Pages

VFL-Cafe: Communication-Efficient Vertical Federated Learning via Dynamic Caching and Feature Selection

  • Jiahui Zhou,
  • Han Liang,
  • Tian Wu,
  • Xiaoxi Zhang and ,
  • Yu Jiang and
  • Chee Wei Tan
  • + 1 author+ 0 author

14 January 2025

Vertical Federated Learning (VFL) is a promising category of Federated Learning that enables collaborative model training among distributed parties with data privacy protection. Due to its unique training architecture, a key challenge of VFL is high...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Article
  • Open Access
4 Citations
3,381 Views
21 Pages

Simulation of Flow Around a Finite Rectangular Prism: Influence of Mesh, Model, and Subgrid Length Scale

  • Xutong Zhang,
  • Maxime Savoie,
  • Mark K. Quinn,
  • Ben Parslew and
  • Alistair Revell

13 January 2025

This study investigates the flow field around a finite rectangular prism using both experimental and computational methods, with a particular focus on the influence of the turbulence approach adopted, the mesh resolution employed, and different subgr...

(This article belongs to the Section Statistical Physics)
  • Article
  • Open Access
3 Citations
1,361 Views
16 Pages

12 January 2025

A kinetic exchange model is developed to investigate wealth distribution in a market. The model incorporates a value function that captures the agents’ psychological traits, governing their wealth allocation based on behavioral responses to per...

(This article belongs to the Section Statistical Physics)
  • Feature Paper
  • Article
  • Open Access
4 Citations
2,666 Views
15 Pages

Quadratic Forms in Random Matrices with Applications in Spectrum Sensing

  • Daniel Gaetano Riviello,
  • Giusi Alfano and
  • Roberto Garello

12 January 2025

Quadratic forms with random kernel matrices are ubiquitous in applications of multivariate statistics, ranging from signal processing to time series analysis, biomedical systems design, wireless communications performance analysis, and other fields....

(This article belongs to the Section Statistical Physics)
  • Feature Paper
  • Article
  • Open Access
4 Citations
8,545 Views
33 Pages

Introducing ActiveInference.jl: A Julia Library for Simulation and Parameter Estimation with Active Inference Models

  • Samuel William Nehrer,
  • Jonathan Ehrenreich Laursen,
  • Conor Heins,
  • Karl Friston and ,
  • Christoph Mathys and
  • Peter Thestrup Waade
  • + 1 author+ 0 author

12 January 2025

We introduce a new software package for the Julia programming language, the library ActiveInference.jl. To make active inference agents with Partially Observable Markov Decision Process (POMDP) generative models available to the growing research comm...

(This article belongs to the Special Issue From Functional Imaging to Free Energy—Dedicated to Professor Karl Friston on the Occasion of His 65th Birthday)
  • Article
  • Open Access
2 Citations
1,642 Views
16 Pages

Transient Voltage Information Entropy Difference Unit Protection Based on Fault Condition Attribute Fusion

  • Zhenwei Guo,
  • Ruiqiang Zhao,
  • Zebo Huang,
  • Yongyan Jiang and ,
  • Haojie Li and
  • Yingcai Deng
  • + 1 author+ 0 author

11 January 2025

Transient protection has the advantage of ultra-high-speed action, but traditional transient protection is susceptible to the influence of two fault condition attributes, namely, transition resistance and initial angle of fault, and there are the pro...

(This article belongs to the Section Multidisciplinary Applications)
  • Article
  • Open Access
4 Citations
4,863 Views
21 Pages

An Efficient Retinal Fluid Segmentation Network Based on Large Receptive Field Context Capture for Optical Coherence Tomography Images

  • Hang Qi,
  • Weijiang Wang,
  • Hua Dang,
  • Yueyang Chen and ,
  • Minli Jia and
  • Xiaohua Wang
  • + 1 author+ 0 author

11 January 2025

Optical Coherence Tomography (OCT) is a crucial imaging modality for diagnosing and monitoring retinal diseases. However, the accurate segmentation of fluid regions and lesions remains challenging due to noise, low contrast, and blurred edges in OCT...

(This article belongs to the Section Signal and Data Analysis)
  • Review
  • Open Access
1,956 Views
21 Pages

10 January 2025

We show that the theory of quantum statistical mechanics is a special model in the framework of the quantum probability theory developed by mathematicians, by extending the characteristic function in the classical probability theory to the quantum pr...

(This article belongs to the Special Issue Quantum Probability and Randomness V)
  • Article
  • Open Access
1 Citations
4,811 Views
21 Pages

10 January 2025

Optimizing complex systems usually involves costly and time-consuming experiments, where selecting the experiments to perform is fundamental. Bayesian optimization (BO) has proved to be a suitable optimization method in these situations thanks to its...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Feature Paper
  • Article
  • Open Access
2 Citations
1,871 Views
13 Pages

The Structure of Bit-String Similarity Networks

  • David M. Schneider and
  • Damián H. Zanette

10 January 2025

We study the structural properties of networks formed by random sets of bit strings—namely the ordered arrays of binary variables representing, for instance, genetic information or cultural profiles. Two bit strings are connected by a network l...

(This article belongs to the Special Issue Nonlinear Dynamics and Applications—In Honor of Professor Osvaldo Anibal Rosso's 70th Birthday)
  • Article
  • Open Access
5 Citations
3,161 Views
15 Pages

10 January 2025

Multimedia recommendation systems aim to accurately predict user preferences from multimodal data. However, existing methods may learn a recommendation model from spurious features, i.e., appearing to be related to an outcome but actually having no c...

(This article belongs to the Special Issue Causal Inference in Recommender Systems)
  • Article
  • Open Access
1 Citations
1,852 Views
28 Pages

10 January 2025

This study is the application of the Onsager variational principle to viscoelasticity and viscoplasticity with the minimization of the assumptions which are popularly used in conventional approaches. The conventional approaches assume Kröner&nda...

(This article belongs to the Section Thermodynamics)
  • Feature Paper
  • Article
  • Open Access
2 Citations
2,541 Views
35 Pages

9 January 2025

Quantum contextuality plays a significant role in supporting quantum computation and quantum information theory. The key tools for this are the Kochen–Specker and non-Kochen–Specker contextual sets. Traditionally, their representation has...

(This article belongs to the Special Issue Quantum Probability and Randomness V)
  • Article
  • Open Access
5 Citations
3,571 Views
22 Pages

9 January 2025

This study examines the relationship between morphological complexity and word order rigidity, addressing a gap in the literature regarding causality in linguistic changes. While prior research suggests that the loss of inflectional morphology correl...

(This article belongs to the Special Issue Complexity Characteristics of Natural Language)
  • Article
  • Open Access
9 Citations
7,004 Views
25 Pages

9 January 2025

Non-stationary multi-armed bandit (MAB) problems have recently attracted extensive attention. We focus on the abruptly changing scenario where reward distributions remain constant for a certain period and change at unknown time steps. Although Thomps...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Article
  • Open Access
3 Citations
2,499 Views
30 Pages

9 January 2025

In gas-to-methanol processes, optimizing multi-energy systems is a critical challenge toward efficient energy allocation. This paper proposes an entropy-based stochastic optimization method for a multi-energy system in a gas-to-methanol process, aimi...

(This article belongs to the Section Multidisciplinary Applications)
  • Article
  • Open Access
8 Citations
4,026 Views
22 Pages

Measuring Complexity in Manufacturing: Integrating Entropic Methods, Programming and Simulation

  • Germán Herrera-Vidal,
  • Jairo R. Coronado-Hernández,
  • Ivan Derpich-Contreras,
  • Breezy P. Martínez Paredes and
  • Gustavo Gatica

9 January 2025

This research addresses complexity in manufacturing systems from an entropic perspective for production improvement. The main objective is to develop and validate a methodology that develops an entropic metric of complexity in an integral way in prod...

(This article belongs to the Section Complexity)
  • Article
  • Open Access
1 Citations
2,885 Views
26 Pages

Generalized Adaptive Diversity Gradient Descent Bit-Flipping with a Finite State Machine

  • Jovan Milojković,
  • Srdjan Brkić,
  • Predrag Ivaniš and
  • Bane Vasić

9 January 2025

In this paper, we introduce a novel gradient descent bit-flipping algorithm with a finite state machine (GDBF-wSM) for iterative decoding of low-density parity-check (LDPC) codes. The algorithm utilizes a finite state machine to update variable node...

(This article belongs to the Special Issue Information Theory and Coding for Wireless Communications II)
  • Article
  • Open Access
7 Citations
2,787 Views
13 Pages

9 January 2025

Superdiffusion is usually defined as a random walk process of a molecule, in which the time evolution of the mean-squared displacement, σ2, of the molecule is a power function of time, σ2(t)∼t2/γ, with γ∈(1,2). An equ...

(This article belongs to the Section Statistical Physics)
  • Article
  • Open Access
1,355 Views
10 Pages

9 January 2025

This paper discusses a unique and revolutionary method that quantitatively evaluates the programming of a media outlet regarding religious pluralism. Using a “program appeal” score and entropy measures from information theory, the broadca...

(This article belongs to the Section Information Theory, Probability and Statistics)

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Entropy - ISSN 1099-4300