EntropyPub Date : 2025-06-16DOI: 10.3390/e27060642
Marcelo S Alencar
{"title":"Stochastic Model for a 4 QAM Transmission Subject to the Epidemic Interference Effect.","authors":"Marcelo S Alencar","doi":"10.3390/e27060642","DOIUrl":"10.3390/e27060642","url":null,"abstract":"<p><p>This article presents a stochastic model for the effect of interference caused by a sudden increase in the number of users that access a 4 QAM digital communication system. As demonstrated, the rapid increase in the number of users that access the system causes a non-stationary traffic in the network. A stochastic differential approach is used to model the epidemic interference effect.</p>","PeriodicalId":11694,"journal":{"name":"Entropy","volume":"27 6","pages":""},"PeriodicalIF":2.1,"publicationDate":"2025-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12191938/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144495292","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
EntropyPub Date : 2025-06-16DOI: 10.3390/e27060644
Yilin Zhao, Dongbo Zhao, Chunying Rong, Shubin Liu, Paul W Ayers
{"title":"Information Theory Meets Quantum Chemistry: A Review and Perspective.","authors":"Yilin Zhao, Dongbo Zhao, Chunying Rong, Shubin Liu, Paul W Ayers","doi":"10.3390/e27060644","DOIUrl":"10.3390/e27060644","url":null,"abstract":"<p><p>In this survey, we begin with a concise introduction to information theory within Shannon's framework, focusing on the key concept of Shannon entropy and its related quantities: relative entropy, joint entropy, conditional entropy, and mutual information. We then demonstrate how to apply these information-theoretic tools in quantum chemistry, adopting either classical or quantum formalisms based on the choice of information carrier involved.</p>","PeriodicalId":11694,"journal":{"name":"Entropy","volume":"27 6","pages":""},"PeriodicalIF":2.1,"publicationDate":"2025-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12192322/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144495281","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
EntropyPub Date : 2025-06-16DOI: 10.3390/e27060643
Iddo Eliazar
{"title":"Brown and Levy Steady-State Motions.","authors":"Iddo Eliazar","doi":"10.3390/e27060643","DOIUrl":"10.3390/e27060643","url":null,"abstract":"<p><p>This paper introduces and explores a novel class of Brown and Levy steady-state motions. These motions generalize, respectively, the Ornstein-Uhlenbeck process (OUP) and the Levy-driven OUP. As the OUP and the Levy-driven OUP: the motions are Markov; their dynamics are Langevin; and their steady-state distributions are, respectively, Gauss and Levy. As the Levy-driven OUP: the motions can display the Noah effect (heavy-tailed amplitudal fluctuations); and their memory structure is tunable. And, as Gaussian-stationary processes: the motions can display the Joseph effect (long-ranged temporal dependencies); and their correlation structure is tunable. The motions have two parameters: a critical exponent which determines the Noah effect and the memory structure; and a clock function which determines the Joseph effect and the correlation structure. The novel class is a compelling stochastic model due to the following combination of facts: on the one hand the motions are tractable and amenable to analysis and use; on the other hand the model is versatile and the motions display a host of both regular and anomalous features.</p>","PeriodicalId":11694,"journal":{"name":"Entropy","volume":"27 6","pages":""},"PeriodicalIF":2.1,"publicationDate":"2025-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12191575/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144495254","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Analysis and Research on Spectrogram-Based Emotional Speech Signal Augmentation Algorithm.","authors":"Huawei Tao, Sixian Li, Xuemei Wang, Binkun Liu, Shuailong Zheng","doi":"10.3390/e27060640","DOIUrl":"10.3390/e27060640","url":null,"abstract":"<p><p>Data augmentation techniques are widely applied in speech emotion recognition to increase the diversity of data and enhance the performance of models. However, existing research has not deeply explored the impact of these data augmentation techniques on emotional data. Inappropriate augmentation algorithms may distort emotional labels, thereby reducing the performance of models. To address this issue, in this paper we systematically evaluate the influence of common data augmentation algorithms on emotion recognition from three dimensions: (1) we design subjective auditory experiments to intuitively demonstrate the impact of augmentation algorithms on the emotional expression of speech; (2) we jointly extract multi-dimensional features from spectrograms based on the Librosa library and analyze the impact of data augmentation algorithms on the spectral features of speech signals through heatmap visualization; and (3) we objectively evaluate the recognition performance of the model by means of indicators such as cross-entropy loss and introduce statistical significance analysis to verify the effectiveness of the augmentation algorithms. The experimental results show that \"time stretching\" may distort speech features, affect the attribution of emotional labels, and significantly reduce the model's accuracy. In contrast, \"reverberation\" (RIR) and \"resampling\" within a limited range have the least impact on emotional data, enhancing the diversity of samples. Moreover, their combination can increase accuracy by up to 7.1%, providing a basis for optimizing data augmentation strategies.</p>","PeriodicalId":11694,"journal":{"name":"Entropy","volume":"27 6","pages":""},"PeriodicalIF":2.1,"publicationDate":"2025-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12191602/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144495247","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
EntropyPub Date : 2025-06-15DOI: 10.3390/e27060639
Michał Cieśla
{"title":"Reputation in the Iterated Prisoner's Dilemma: A Simple, Analytically Solvable Agents' Model.","authors":"Michał Cieśla","doi":"10.3390/e27060639","DOIUrl":"10.3390/e27060639","url":null,"abstract":"<p><p>This study introduces a simple model, which can be used to examine the influence of reputation on expected income achieved within the Iterated Prisoner's Dilemma (IPD) game framework. The research explores how different reputation distributions among society members impact overall outcomes by modeling a society of agents, each characterized by a reputation score that dictates their likelihood of cooperation. Due to the simplicity of the model, we can analytically determine the expected incomes based on the distribution of agents' reputations and model parameters. The results show that a higher reputation generally leads to greater expected income, thereby promoting cooperation over defection. However, in some cases, where there are more defecting individuals, the expected income reaches the maximum for agents with an average reputation, and then decreases for individuals who cooperate more. Various scenarios, including uniform, increasing, and decreasing reputation distributions, are analyzed to understand their effects on the promoted interaction strategy. Finally, we outline future extensions of the model and potential research directions, including the exploration of alternative reputation distributions, variable interaction parameters, and different payoff structures in the dilemma games.</p>","PeriodicalId":11694,"journal":{"name":"Entropy","volume":"27 6","pages":""},"PeriodicalIF":2.1,"publicationDate":"2025-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12192003/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144495348","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
EntropyPub Date : 2025-06-15DOI: 10.3390/e27060638
Zachary F Hale, Gonzalo A Cánez, Thomas C T Michaels
{"title":"Fisher Information and the Dynamics of Multicellular Ageing.","authors":"Zachary F Hale, Gonzalo A Cánez, Thomas C T Michaels","doi":"10.3390/e27060638","DOIUrl":"10.3390/e27060638","url":null,"abstract":"<p><p>Information theory has long been integrated into the study of biological ageing, for example, in examining the roles of genetic and epigenetic fidelity in cellular and organismal longevity. Here, we introduce a theoretical model that interprets ageing in multicellular systems through the lens of Fisher information. Previous theories have suggested that the ageing of multicellular organisms is an inevitable consequence of the inherent tension between individual cell reproduction and the homeostasis of the multicellular system. Utilising concepts from information theory and statistical mechanics, we show that Fisher information parametrises the dynamics of this tension through non-monotonic behaviour, which depends on an optimal balance of competition and cooperation between cells. Moreover, Fisher information suggests that the ability to infer true biological age from a sample evolves through complex dynamics over an organism's lifespan.</p>","PeriodicalId":11694,"journal":{"name":"Entropy","volume":"27 6","pages":""},"PeriodicalIF":2.1,"publicationDate":"2025-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12191527/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144495276","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
EntropyPub Date : 2025-06-15DOI: 10.3390/e27060641
Eder A Rodríguez-Martínez, Jesús Elías Miranda-Vega, Farouk Achakir, Oleg Sergiyenko, Julio C Rodríguez-Quiñonez, Daniel Hernández Balbuena, Wendy Flores-Fuentes
{"title":"Efficient Learning-Based Robotic Navigation Using Feature-Based RGB-D Pose Estimation and Topological Maps.","authors":"Eder A Rodríguez-Martínez, Jesús Elías Miranda-Vega, Farouk Achakir, Oleg Sergiyenko, Julio C Rodríguez-Quiñonez, Daniel Hernández Balbuena, Wendy Flores-Fuentes","doi":"10.3390/e27060641","DOIUrl":"10.3390/e27060641","url":null,"abstract":"<p><p>Robust indoor robot navigation typically demands either costly sensors or extensive training data. We propose a cost-effective RGB-D navigation pipeline that couples feature-based relative pose estimation with a lightweight multi-layer-perceptron (MLP) policy. RGB-D keyframes extracted from human-driven traversals form nodes of a topological map; edges are added when visual similarity and geometric-kinematic constraints are jointly satisfied. During autonomy, LightGlue features and SVD give six-DoF relative pose to the active keyframe, and the MLP predicts one of four discrete actions. Low visual similarity or detected obstacles trigger graph editing and Dijkstra replanning in real time. Across eight tasks in four Habitat-Sim environments, the agent covered 190.44 m, replanning when required, and consistently stopped within 0.1 m of the goal while running on commodity hardware. An information-theoretic analysis over the Multi-Illumination dataset shows that LightGlue maximizes per-second information gain under lighting changes, motivating its selection. The modular design attains reliable navigation without metric SLAM or large-scale learning, and seamlessly accommodates future perception or policy upgrades.</p>","PeriodicalId":11694,"journal":{"name":"Entropy","volume":"27 6","pages":""},"PeriodicalIF":2.1,"publicationDate":"2025-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12191688/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144495264","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"An Information Geometry-Based Track-Before-Detect Algorithm for Range-Azimuth Measurements in Radar Systems.","authors":"Jinguo Liu, Hao Wu, Zheng Yang, Xiaoqiang Hua, Yongqiang Cheng","doi":"10.3390/e27060637","DOIUrl":"10.3390/e27060637","url":null,"abstract":"<p><p>The detection of weak moving targets in heterogeneous clutter backgrounds is a significant challenge in radar systems. In this paper, we propose a track-before-detect (TBD) method based on information geometry (IG) theory applied to range-azimuth measurements, which extends the IG detectors to multi-frame detection through inter-frame information integration. The approach capitalizes on the distinctive benefits of the information geometry detection framework in scenarios with strong clutter, while enhancing the integration of information across multiple frames within the TBD approach. Specifically, target and clutter trajectories in multi-frame range-azimuth measurements are modeled on the Hermitian positive definite (HPD) and power spectrum (PS) manifolds. A scoring function based on information geometry, which uses Kullback-Leibler (KL) divergence as a geometric metric, is then devised to assess these motion trajectories. Moreover, this study devises a solution framework employing dynamic programming (DP) with constraints on state transitions, culminating in an integrated merit function. This algorithm identifies target trajectories by maximizing the integrated merit function. Experimental validation using real-recorded sea clutter datasets showcases the effectiveness of the proposed algorithm, yielding a minimum 3 dB enhancement in signal-to-clutter ratio (SCR) compared to traditional approaches.</p>","PeriodicalId":11694,"journal":{"name":"Entropy","volume":"27 6","pages":""},"PeriodicalIF":2.1,"publicationDate":"2025-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12191875/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144495246","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
EntropyPub Date : 2025-06-14DOI: 10.3390/e27060635
Dong-Jun Kim, Do-Hyeon Kim, Sun-Yong Choi
{"title":"Modeling Stylized Facts in FX Markets with FINGAN-BiLSTM: A Deep Learning Approach to Financial Time Series.","authors":"Dong-Jun Kim, Do-Hyeon Kim, Sun-Yong Choi","doi":"10.3390/e27060635","DOIUrl":"10.3390/e27060635","url":null,"abstract":"<p><p>We propose the financial generative adversarial network-bidirectional long short-term memory (FINGAN-BiLSTM) model to accurately reproduce the complex statistical properties and stylized facts, namely, heavy-tailed behavior, volatility clustering, and leverage effects observed in the log returns of the foreign exchange (FX) market. The proposed model integrates a bidirectional LSTM (BiLSTM) into the conventional FINGAN framework so that the generator, discriminator, and predictor networks simultaneously incorporate both past and future information, thereby overcoming the information loss inherent in unidirectional LSTM architectures. Experimental results, assessed using metrics such as the Kolmogorov-Smirnov statistic, demonstrate that FINGAN-BiLSTM effectively mimics the distributional and dynamic patterns of actual FX data. In particular, the model significantly reduces the maximum cumulative distribution discrepancy in assets with high standard deviations and extreme values, such as the Canadian dollar (CAD) and the Mexican Peso (MXN), while precisely replicating dynamic features like volatility clustering and leverage effects, thereby outperforming conventional models. The findings suggest that the proposed deep learning-based forecasting model holds significant promise for practical applications in financial risk assessment, derivative pricing, and portfolio optimization, and they highlight the need for further research to enhance its generalization capabilities through the integration of exogenous economic variables.</p>","PeriodicalId":11694,"journal":{"name":"Entropy","volume":"27 6","pages":""},"PeriodicalIF":2.1,"publicationDate":"2025-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12191802/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144495316","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
EntropyPub Date : 2025-06-14DOI: 10.3390/e27060634
Wen Liang, Yifan Wang, Qiwei Liu, Wenbo Zhang
{"title":"A Method Inspired by One-Dimensional Discrete-Time Quantum Walks for Influential Node Identification.","authors":"Wen Liang, Yifan Wang, Qiwei Liu, Wenbo Zhang","doi":"10.3390/e27060634","DOIUrl":"10.3390/e27060634","url":null,"abstract":"<p><p>Identifying influential nodes in complex networks is essential for a wide range of applications, from social network analysis to enhancing infrastructure resilience. While quantum walk-based methods offer potential advantages, existing approaches face challenges in dimensionality, computational efficiency, and accuracy. To address these limitations, this study proposes a novel method inspired by the one-dimensional discrete-time quantum walk (IOQW). This design enables the development of a simplified shift operator that leverages both self-loops and the network's structural connectivity. Furthermore, degree centrality and path-based features are integrated into the coin operator, enhancing the accuracy and scalability of the IOQW framework. Comparative evaluations against state-of-the-art quantum and classical methods demonstrate that IOQW excels in capturing both local and global topological properties while maintaining a low computational complexity of O(N⟨k⟩), where ⟨k⟩ denotes the average degree. These advancements establish IOQW as a powerful and practical tool for influential node identification in complex networks, bridging quantum-inspired techniques with real-world network science applications.</p>","PeriodicalId":11694,"journal":{"name":"Entropy","volume":"27 6","pages":""},"PeriodicalIF":2.1,"publicationDate":"2025-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12191468/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144495235","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}