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Entropy, Volume 27, Issue 8

2025 August - 115 articles

Cover Story: The image depicts system and environmental complexity as functions of scale (the level of detail in their descriptions), with system complexity exceeding environmental complexity at all scales—a necessary condition for effective adaptation. This requirement, which we term the multi-scale law of requisite variety, frames complexity not merely as an abstract concept but as a property essential for successful interaction. Below the curves, the grids represent successive coarse-graining, illustrating how finer-scale descriptions can be systematically aggregated into larger-scale ones. View this paper
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Articles (115)

  • Article
  • Open Access
2 Citations
3,120 Views
21 Pages

21 August 2025

In recommender systems research, the data sparsity problem has driven the development of hybrid recommendation algorithms integrating multimodal information and the application of graph neural networks (GNNs). However, conventional GNNs relying on ho...

(This article belongs to the Special Issue Causal Inference in Recommender Systems)
  • Article
  • Open Access
1,429 Views
9 Pages

21 August 2025

The “abnormal” properties of ice and liquid water can be explained by a hybrid quantum/classical framework based on objective facts. Internal decoherence due to the low dissociation energy of the H-bond and the strong electric dipole mome...

(This article belongs to the Special Issue Entanglement Entropy and Quantum Phase Transition)
  • Article
  • Open Access
1,288 Views
16 Pages

21 August 2025

The dynamics of signal transmission in neuronal networks remain incompletely understood. In this study, we propose a novel Rulkov neuronal network model that incorporates Q-learning, a reinforcement learning method, to establish efficient signal tran...

(This article belongs to the Section Complexity)
  • Article
  • Open Access
1 Citations
2,529 Views
24 Pages

21 August 2025

The present work applies and extends the previously developed Quantitative Geometrical Thermodynamics (QGT) formalism to the derivation of a Hamiltonian for the damped harmonic oscillator (DHO) across all damping regimes. By introducing complex time,...

(This article belongs to the Section Thermodynamics)
  • Article
  • Open Access
1,347 Views
24 Pages

20 August 2025

In many practical applications, data collected over time often exhibit autocorrelation, which, if unaccounted for, can lead to biased or misleading statistical inferences. To address this issue, we propose a varying-coefficient additive model for den...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Article
  • Open Access
13 Citations
8,872 Views
17 Pages

20 August 2025

Optimization of stock selection strategies has been a topic of interest in finance. Although deep learning models have demonstrated superior performance over traditional methods, there are still shortcomings. For example, previous studies do not prov...

(This article belongs to the Special Issue Entropy, Artificial Intelligence and the Financial Markets)
  • Article
  • Open Access
2 Citations
1,546 Views
23 Pages

Fixed-Time Active Disturbance Rejection Temperature–Pressure Decoupling Control for a High-Flow Air Intake System

  • Louyue Zhang,
  • Hehong Zhang,
  • Duoqi Shi,
  • Zhihong Dan,
  • Xi Wang,
  • Chao Zhai,
  • Gaoxi Xiao and
  • Zhouzhe Xu

20 August 2025

High-flow aeroengine transient tests involve strong coupling and external disturbances, which pose significant challenges for intake environment simulation systems (IESSs). This study proposes a compound control scheme that combines fixed-time active...

(This article belongs to the Section Complexity)
  • Article
  • Open Access
4 Citations
2,764 Views
32 Pages

19 August 2025

In the era of digital interconnectivity, user-generated reviews on platforms such as TripAdvisor have become a valuable source of social feedback, reflecting collective experiences and perceptions of airline services. However, aggregating such feedba...

(This article belongs to the Special Issue Dynamics in Biological and Social Networks)
  • Tutorial
  • Open Access
1 Citations
4,625 Views
25 Pages

Geometric Neural Ordinary Differential Equations: From Manifolds to Lie Groups

  • Yannik P. Wotte,
  • Federico Califano and
  • Stefano Stramigioli

19 August 2025

Neural ordinary differential equations (neural ODEs) are a well-established tool for optimizing the parameters of dynamical systems, with applications in image classification, optimal control, and physics learning. Although dynamical systems of inter...

(This article belongs to the Section Multidisciplinary Applications)
  • Article
  • Open Access
4 Citations
1,645 Views
24 Pages

19 August 2025

Sea surface wind speed is a key parameter in marine meteorology, navigation safety, and offshore engineering. Traditional marine radar wind speed retrieval algorithms often suffer from poor environmental adaptability and limited applicability across...

(This article belongs to the Section Multidisciplinary Applications)
  • Article
  • Open Access
2 Citations
2,697 Views
30 Pages

19 August 2025

As global e-commerce expands, efficient cross-border logistics services have become essential. To support the evaluation of logistics service providers (LSPs), we propose HD-CBDTOPSIS (Technique for Order Preference by Similarity to Ideal Solution wi...

(This article belongs to the Section Complexity)
  • Article
  • Open Access
1,648 Views
27 Pages

19 August 2025

Clustering algorithms based on non-negative matrix factorization (NMF) have garnered significant attention in data mining due to their strong interpretability and computational simplicity. However, traditional NMF often struggles to effectively captu...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Article
  • Open Access
1 Citations
1,617 Views
21 Pages

Brain Oscillations and Autonomic Synthonization via Comodulation in Collaborative Negotiation

  • Katia Rovelli,
  • Carlotta Acconito,
  • Laura Angioletti and
  • Michela Balconi

18 August 2025

This study investigates the relationship between neural and physiological synthonization via comodulation (Synth) in dyadic exchanges centered on negotiation processes. In total, 13 dyads participated in a negotiation task with three phases: Initiati...

(This article belongs to the Special Issue Active Inference in Cognitive Neuroscience)
  • Article
  • Open Access
4 Citations
1,711 Views
32 Pages

18 August 2025

With the rapid advancement of information technology, as critical information carriers, images are confronted with significant security risks. To ensure the image security, this paper proposes an image encryption algorithm based on a dynamic rhombus...

(This article belongs to the Section Signal and Data Analysis)
  • Article
  • Open Access
3 Citations
1,964 Views
23 Pages

18 August 2025

By integrating statistical modeling and data analysis techniques, we systematically assess the carbon emission performance of the ceramic industry and propose targeted emission reduction pathways. Firstly, the entropy weight TOPSIS model is employed...

(This article belongs to the Section Multidisciplinary Applications)
  • Feature Paper
  • Article
  • Open Access
2 Citations
2,977 Views
26 Pages

Time-Marching Quantum Algorithm for Simulation of Nonlinear Lorenz Dynamics

  • Efstratios Koukoutsis,
  • George Vahala,
  • Min Soe,
  • Kyriakos Hizanidis,
  • Linda Vahala and
  • Abhay K. Ram

17 August 2025

Simulating nonlinear classical dynamics on a quantum computer is an inherently challenging task due to the linear operator formulation of quantum mechanics. In this work, we provide a systematic approach to alleviate this difficulty by developing an...

(This article belongs to the Special Issue Quantum Computing in the NISQ Era)
  • Article
  • Open Access
2,490 Views
11 Pages

16 August 2025

The key to resolving the black hole information loss paradox lies in clarifying the origin of black hole entropy and the mechanism by which black holes store information. By applying thermodynamic principles, we demonstrate that the entropy of a grav...

(This article belongs to the Special Issue Black Hole Information Problem: Challenges and Perspectives)
  • Article
  • Open Access
1,430 Views
21 Pages

15 August 2025

In hyperspectral image (HSI) classification, feature learning and label accuracy play a crucial role. In actual hyperspectral scenes, however, noisy labels are unavoidable and seriously impact the performance of methods. While deep learning has achie...

(This article belongs to the Section Signal and Data Analysis)
  • Article
  • Open Access
1 Citations
1,766 Views
11 Pages

15 August 2025

This paper describes a crowdsourced experiment in which participants were asked to judge which of two simultaneously presented facial images (one real, one AI-generated) was fake. With the growing presence of synthetic imagery in digital environments...

(This article belongs to the Special Issue Quantum Probability and Randomness V)
  • Article
  • Open Access
17 Citations
2,782 Views
18 Pages

15 August 2025

In multi-criteria decision-making (MCDM) environments characterized by uncertainty and data irregularities, the reliability of weighting methods becomes critical for ensuring robust and accurate decisions. This study introduces a novel hybrid objecti...

(This article belongs to the Special Issue Entropy Method for Decision Making with Uncertainty)
  • Article
  • Open Access
2,600 Views
33 Pages

14 August 2025

The latent class model has been proposed as a powerful tool in understanding human behavior for various fields such as social, psychological, behavioral, and biological sciences. However, one important limitation of the latent class model is that it...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Article
  • Open Access
1 Citations
2,606 Views
23 Pages

14 August 2025

We consider the lossless compression bound of any individual data sequence. Conceptually, its Kolmogorov complexity is such a bound yet uncomputable. According to Shannon’s source coding theorem, the average compression bound is nH, where n is...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Feature Paper
  • Article
  • Open Access
2 Citations
1,413 Views
20 Pages

14 August 2025

In this paper, closed-form expressions for the variation of the expectation of a given function due to changes in the probability measure (probability distribution drifts) are presented. These expressions unveil interesting connections with Gibbs pro...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Article
  • Open Access
1,623 Views
18 Pages

14 August 2025

We study the quantum state discrimination problem under the minimum error (ME) strategy for a set of N pure equidistant states. These states are characterized by the property that the inner product between any pair of states is given by a unique comp...

(This article belongs to the Special Issue Insight into Entropy)
  • Article
  • Open Access
4 Citations
2,687 Views
24 Pages

Hierarchical Multi-Scale Mamba with Tubular Structure-Aware Convolution for Retinal Vessel Segmentation

  • Tao Wang,
  • Dongyuan Tian,
  • Haonan Zhao,
  • Jiamin Liu,
  • Weijie Wang,
  • Chunpei Li and
  • Guixia Liu

14 August 2025

Retinal vessel segmentation plays a crucial role in diagnosing various retinal and cardiovascular diseases and serves as a foundation for computer-aided diagnostic systems. Blood vessels in color retinal fundus images, captured using fundus cameras,...

(This article belongs to the Special Issue Methods in Artificial Intelligence and Information Processing, Third Edition)
  • Article
  • Open Access
1,797 Views
17 Pages

14 August 2025

We present a measurement-driven model in which the black hole horizon functions as a classical apparatus, with Planck-scale patches acting as detectors for quantum field modes. This approach reproduces the Bekenstein–Hawking area law SBH=A4T...

(This article belongs to the Special Issue Coarse and Fine-Grained Aspects of Gravitational Entropy)
  • Article
  • Open Access
5 Citations
2,944 Views
19 Pages

14 August 2025

The Poincaré plot was introduced as a tool to analyze heart rate variations caused by arrhythmias. Later, it was applied to time series with normal beats. The plot shows the relationship between the inter-beat interval (IBI) of one beat to the...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Article
  • Open Access
1,392 Views
15 Pages

Adaptive Feedback Compensation Algorithm for Quantum Random Number Generators

  • Wei Deng,
  • Kun Chen,
  • Fei Hua,
  • Jing Cheng,
  • Banghong Guo and
  • Huanwen Xie

14 August 2025

As a core component in quantum cryptography, Quantum Random Number Generators (QRNGs) face dual critical challenges: insufficient randomness enhancement and limited compatibility with post-processing algorithms. This study proposes an Adaptive Feedba...

(This article belongs to the Section Quantum Information)
  • Article
  • Open Access
1 Citations
1,406 Views
23 Pages

13 August 2025

Robust stability/stabilization for discrete-time time-varying Markovian jump linear systems subject to block-diagonal stochastic parameter perturbations is addressed in this paper. Using a scaling technique, we succeed in effectively addressing the m...

(This article belongs to the Special Issue Information Theory in Control Systems, 2nd Edition)
  • Article
  • Open Access
2 Citations
1,443 Views
13 Pages

Phase-Space Approach for Topological Phase Transitions in Silicene

  • Maciej Kalka,
  • Piotr Pigoń and
  • Bartłomiej J. Spisak

12 August 2025

Silicene is a two-dimensional silicon monolayer with a band gap caused by relatively strong spin–orbit coupling. This band gap can be steered using a vertical electric field. In turn, the change in this electric field value leads to a transitio...

(This article belongs to the Section Statistical Physics)
  • Article
  • Open Access
2 Citations
1,735 Views
19 Pages

11 August 2025

We explore the concept of scaling invariance in a type of dynamical systems that undergo a transition from regularity to chaos. The systems are described by a two-dimensional, nonlinear mapping that preserves the area in the phase space. The key vari...

(This article belongs to the Special Issue From Order to Disorder: Superfluidity, Stochastic Processes, and the Dynamics of Life—Dedicated to Professor Peter McClintock on the Occasion of His 85th Birthday)
  • Article
  • Open Access
1,432 Views
24 Pages

11 August 2025

Age of Information (AoI) is a newly introduced metric that quantifies the freshness and timeliness of data, playing a crucial role in applications reliant on time-sensitive information. Minimizing AoI through optimal scheduling is challenging, especi...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Article
  • Open Access
1 Citations
2,464 Views
22 Pages

Tight Bounds Between the Jensen–Shannon Divergence and the Minmax Divergence

  • Arseniy Akopyan,
  • Herbert Edelsbrunner,
  • Žiga Virk and
  • Hubert Wagner

11 August 2025

Motivated by questions arising at the intersection of information theory and geometry, we compare two dissimilarity measures between finite categorical distributions. One is the well-known Jensen–Shannon divergence, which is easy to compute and...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Article
  • Open Access
4 Citations
3,740 Views
20 Pages

11 August 2025

With the continuous advancement of side-channel attacks (SCA), deep learning-based methods have emerged as a prominent research focus due to their powerful feature extraction and nonlinear modeling capabilities. Traditional convolutional neural netwo...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Article
  • Open Access
1 Citations
1,650 Views
11 Pages

11 August 2025

Optical cooling is a key technique for preparing ultracold atoms in quantum technologies and precision experiments. We employ shortcut-to-adiabaticity (STA) techniques to accelerate and stabilize laser-based atomic cooling protocols. This approach im...

(This article belongs to the Special Issue Shortcut to Adiabaticity in Classical and Quantum Systems)
  • Article
  • Open Access
8 Citations
1,628 Views
19 Pages

Weighted Color Image Encryption Algorithm Based on RNA Extended Dynamic Coding and Quantum Chaotic System

  • Xiangyu Zhang,
  • Heping Wen,
  • Wei Feng,
  • Shenghao Kang,
  • Zhiyu Xie,
  • Xuexi Zhang and
  • Yiting Lin

11 August 2025

The rapid development of Internet technology, while providing convenient services for users, has also aroused deep concern among the public about the issue of privacy leakage during image data transmission. To address this situation, this article pro...

(This article belongs to the Section Multidisciplinary Applications)
  • Article
  • Open Access
4 Citations
5,138 Views
20 Pages

11 August 2025

There is much confusion about the apparent opposition between Darwinian evolution and the second law of thermodynamics. Both entropy and entropy production play more fundamental roles in the origin of life and Darwinian evolution than is generally re...

(This article belongs to the Special Issue Thermodynamics of Dissipative Structures and Related Emergent Phenomena)
  • Article
  • Open Access
1 Citations
2,036 Views
24 Pages

10 August 2025

Adsorption of multicomponent mixtures on solid substrates is essential to numerous technological processes and provides key insights into surface phenomena. Despite advancements in theoretical modeling, many approaches still assume that each adsorbat...

(This article belongs to the Section Statistical Physics)
  • Article
  • Open Access
5 Citations
1,844 Views
14 Pages

10 August 2025

In this work, we investigate the quantum coherence and purity in hydrogen atoms under dissipative dynamics, with a focus on the hyperfine structure states arising from the electron–proton spin interaction. Using the Lindblad master equation, we...

(This article belongs to the Special Issue Entropy in Classical and Quantum Information Theory with Applications)
  • Article
  • Open Access
1,322 Views
14 Pages

9 August 2025

Research on network robustness has long focused on changes in the structure connectivity of networks under attacks, effectively depicting structural integrity while ignoring the exploration of functional integrity. When the core path of the network i...

(This article belongs to the Special Issue Complexity, Entropy and the Physics of Information, 2nd Edition)
  • Feature Paper
  • Article
  • Open Access
3 Citations
4,143 Views
23 Pages

9 August 2025

Active inference offers a unified framework in which agents can exhibit both goal-directed and epistemic behaviors. However, implementing policy search in high-dimensional continuous action spaces presents challenges in terms of scalability and stabi...

(This article belongs to the Special Issue Active Inference in Cognitive Neuroscience)
  • Article
  • Open Access
1 Citations
2,133 Views
26 Pages

8 August 2025

We study the generalization properties of stochastic optimization methods under adaptive data sampling schemes, focusing on the setting of pairwise learning, which is central to tasks like ranking, metric learning, and AUC maximization. Unlike pointw...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Article
  • Open Access
2 Citations
1,728 Views
18 Pages

8 August 2025

Motivated by task-oriented semantic communication and distributed learning systems, this paper studies a distributed indirect source coding problem where M correlated sources are independently encoded for a central decoder. The decoder has access to...

(This article belongs to the Special Issue Semantic Information Theory)
  • Article
  • Open Access
1,251 Views
15 Pages

Multifractal Nonlinearity in Behavior During a Computer Task with Increasing Difficulty: What Does It Teach Us?

  • Alix Bouni,
  • Laurent M. Arsac,
  • Olivier Chevalerias and
  • Veronique Deschodt-Arsac

8 August 2025

The complex systems approach to cognitive–motor processing values multifractal nonlinearity as a key formalism in understanding internal interactions across multiple scales that preserve adequate task-directed behaviors. By using a computer tas...

(This article belongs to the Section Complexity)
  • Feature Paper
  • Article
  • Open Access
1 Citations
4,038 Views
15 Pages

8 August 2025

This paper presents a theoretical optimization of an endoreversible compressor under steady-state conditions. A parametric study using finite-time thermodynamic principles highlights the effect of external irreversibilities on compressor performance....

(This article belongs to the Special Issue The First Half Century of Finite-Time Thermodynamics)
  • Review
  • Open Access
2 Citations
1,480 Views
13 Pages

8 August 2025

This paper is a short review on applications of non-linear dynamics in the concept of Heider balance, known also as structural balance. In all the papers listed here, the basic tools are ordinary differential equations. All papers pay attention to re...

(This article belongs to the Special Issue Computational and Statistical Physics Approaches for Complex Systems and Social Phenomena, 3rd Edition)
  • Article
  • Open Access
3 Citations
1,896 Views
12 Pages

Signal Detection Based on Separable CNN for OTFS Communication Systems

  • Ying Wang,
  • Zixu Zhang,
  • Hang Li,
  • Tao Zhou and
  • Zhiqun Cheng

7 August 2025

This paper proposes a low-complexity signal detection method for orthogonal time frequency space (OTFS) communication systems, based on a separable convolutional neural network (SeCNN), termed SeCNN-OTFS. A novel SeparableBlock architecture is introd...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Feature Paper
  • Article
  • Open Access
2 Citations
1,563 Views
17 Pages

7 August 2025

One of the most popular and innovative methods to analyse signals is by using Ordinal Patterns (OPs). The OP encoding is based on transforming a (univariate) signal into a symbolic sequence of OPs, where each OP represents the number of permutations...

(This article belongs to the Special Issue Ordinal Patterns-Based Tools and Their Applications)
  • Article
  • Open Access
14 Citations
1,888 Views
23 Pages

Chaos-Based Color Image Encryption with JPEG Compression: Balancing Security and Compression Efficiency

  • Wei Zhang,
  • Xue Zheng,
  • Meng Xing,
  • Jingjing Yang,
  • Hai Yu and
  • Zhiliang Zhu

6 August 2025

In recent years, most proposed digital image encryption algorithms have primarily focused on encrypting raw pixel data, often neglecting the integration with image compression techniques. Image compression algorithms, such as JPEG, are widely utilize...

(This article belongs to the Section Multidisciplinary Applications)
  • Article
  • Open Access
1,252 Views
23 Pages

6 August 2025

Multivariate space–time datasets are often collected at discrete, regularly monitored time intervals and are typically treated as components of time series in environmental science and other applied fields. To effectively characterize such data...

(This article belongs to the Special Issue Statistical Methods for Modeling High-Dimensional and Complex Data: Second Edition)

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Entropy - ISSN 1099-4300