Entropy最新文献_第6页

Weighted Beta Regression for Modeling Bounded Data. 有界数据建模的加权Beta回归。

IF 2.1 3区物理与天体物理

Entropy Pub Date : 2026-10-13 DOI: 10.3390/e28101119

Marcelo Bourguignon, Diego I Gallardo, Roberto Vila

引用次数: 0

On the Schwartz Distribution Approach to Local Volatility for European Option in a Generalised Jump Model with Stochastic Interest Rate. 随机利率下泛化跳跃模型欧式期权局部波动率的Schwartz分布方法。

IF 2.1 3区物理与天体物理

Entropy Pub Date : 2026-10-12 DOI: 10.3390/e28101111

Piotr Nowak, Dariusz Gatarek

引用次数: 0

Complex Dynamics and Structure-Preserving Characteristics of a Three-Dimensional Discrete Cosine Memristive Map.

IF 2.1 3区物理与天体物理

Entropy Pub Date : 2026-10-12 DOI: 10.3390/e28101112

Zhaokun Liu, Jinying Duan

{"title":"Complex Dynamics and Structure-Preserving Characteristics of a Three-Dimensional Discrete Cosine Memristive Map.","authors":"Zhaokun Liu, Jinying Duan","doi":"10.3390/e28101112","DOIUrl":"https://doi.org/10.3390/e28101112","url":null,"abstract":"A three-dimensional discrete map with state-dependent memristive feedback is constructed to examine complex dynamics persistence under finite parameter variations and perturbations. Fixed-point analysis, bifurcation diagrams, Lyapunov exponents (LEs), the 0-1 test, spectral entropy, and C0 complexity characterize the dynamics. At a=0.8, b=0.6, and c=0.4, positive finite-time maximum Lyapunov exponents support chaotic behavior while simulated trajectories remain finite. The original 1000-point scan yields 233 samples with λmax>10-3. A finer scan with step 0.0002 resolves four non-positive-LE samples within the previously reported positive-exponent region, and long-run validation retains their signs; thus, the finite grid does not establish a continuous chaotic interval. Feedback ablation distinguishes the combined model from isolated cosine and exponential components under the tested conditions. Initial-state diagnostics separate periodic initial-state equivalence and central inversion symmetry from translated attractor self-reproduction. Under selected parameter perturbations and Gaussian noise up to σ=10-3, the principal trajectory structure remains identifiable. Comparisons with the logistic and Hénon maps provide context. In National Institute of Standards and Technology (NIST) SP 800-22 testing, 146 of 148 non-overlapping template matching subtests meet the nominal 96/100 threshold, while two yield 95/100. These findings do not prove global boundedness, strict robust chaos, or cryptographic security.","PeriodicalId":11694,"journal":{"name":"Entropy","volume":"28 10","pages":""},"PeriodicalIF":2.1,"publicationDate":"2026-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149264464","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A Nonlinear Three-Mode Model of Solar Activity Based on Coupled Oscillators and Nonlinear Energy Transfer. 基于耦合振子和非线性能量传递的太阳活动非线性三模模型。

IF 2.1 3区物理与天体物理

Entropy Pub Date : 2026-10-12 DOI: 10.3390/e28101114

Vitaliy Kapytin, Alexey Andreyev, Beibit Zhumabayev, Anastasiya Yanina, Yekaterina Chsherbulova, Stanislav Utebayev

{"title":"A Nonlinear Three-Mode Model of Solar Activity Based on Coupled Oscillators and Nonlinear Energy Transfer.","authors":"Vitaliy Kapytin, Alexey Andreyev, Beibit Zhumabayev, Anastasiya Yanina, Yekaterina Chsherbulova, Stanislav Utebayev","doi":"10.3390/e28101114","DOIUrl":"https://doi.org/10.3390/e28101114","url":null,"abstract":"Solar activity exhibits a dominant decadal timescale embedded in nonlinear multiscale dynamics. We present a minimal autonomous three-mode hybrid model to investigate whether such a timescale can arise from internal nonlinear energy exchange rather than external periodic forcing or direct inheritance of a prescribed modal period. The model couples a slow internal reservoir, a tachocline-associated transfer mode, and a nonlinear magnetic subsystem described by Duffing and Van der Pol-Duffing dynamics. Magnetic-energy release is implemented through a threshold-triggered reset, while a D-index-based structural energy-exchange index characterizes relative magnetic-energy changes. The system develops a persistent bounded hybrid regime with a dominant period of approximately 10 yr. Initial-condition ensembles and variations in the intrinsic modal periods demonstrate that this timescale does not simply track the prescribed 11 yr tachocline period. Parameter studies identify the release depth and magnetic recovery rate as stronger controls, supporting an accumulation-release mechanism of timescale selection. Release events exhibit organized recurrence and significant tachocline-phase preference, with localized event skipping separating spectral and release timescales. Saltation-based Lyapunov analysis reveals no robust positive largest exponent for the baseline regime over the investigated finite-time horizons. These results demonstrate that nonlinear energy exchange combined with threshold-mediated accumulation and release can autonomously generate a robust decadal collective timescale in a reduced nonlinear system.","PeriodicalId":11694,"journal":{"name":"Entropy","volume":"28 10","pages":""},"PeriodicalIF":2.1,"publicationDate":"2026-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149264485","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Concatenation, Splicing and Insertion-Deletion Operations on Cyclic DNA Molecules.

IF 2.1 3区物理与天体物理

Entropy Pub Date : 2026-10-12 DOI: 10.3390/e28101113

Bilal Abdallah, Benedek Nagy

{"title":"Concatenation, Splicing and Insertion-Deletion Operations on Cyclic DNA Molecules.","authors":"Bilal Abdallah, Benedek Nagy","doi":"10.3390/e28101113","DOIUrl":"https://doi.org/10.3390/e28101113","url":null,"abstract":"Splicing systems (H-systems) and insertion-deletion systems are well-studied DNA computing paradigms inspired by biological operations observed in nature. They are modelled in a formal, information-theoretic manner. In these systems, splicing, insertion and deletion operations are used. In this paper, we study these operations on circular words, which naturally model cyclic DNA molecules, focusing on the relationship between algebraic operations and biologically inspired string transformations. In particular, we formally compare concatenation with circular splicing and insertion. While the splicing operation has already been defined and used for circular words in the literature, for insertion-deletion systems, e.g., circular insertion was defined to insert a linearized variant of a circular string (cyclic molecule) into a linear (ordinary) string (or linear molecule that can be represented by a string). In this paper, we provide a formal definition of insertion operators acting on circular words. We prove that if we use circular splicing and insertion in a somewhat context-independent way (using the empty word in the formal rules), these computational operations coincide with the one-wheel concatenation operation. Our results support the theoretical understanding of these operations and their biological interpretations, with implications for DNA computing and synthetic biology.","PeriodicalId":11694,"journal":{"name":"Entropy","volume":"28 10","pages":""},"PeriodicalIF":2.1,"publicationDate":"2026-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149264459","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Comparing Quantum and Classical Finite State Generators.

IF 2.1 3区物理与天体物理

Entropy Pub Date : 2026-10-11 DOI: 10.3390/e28101109

Prasenjit Deb, Almut Beige, Lewis A Clark

引用次数: 0

Cross-Market Risk Spillovers in China: A Multidimensional and Nonlinear Transmission Perspective.

IF 2.1 3区物理与天体物理

Entropy Pub Date : 2026-10-11 DOI: 10.3390/e28101110

Yijiang Zou, Qinghua Chen, Jihui Han, Longfeng Zhao

{"title":"Cross-Market Risk Spillovers in China: A Multidimensional and Nonlinear Transmission Perspective.","authors":"Yijiang Zou, Qinghua Chen, Jihui Han, Longfeng Zhao","doi":"10.3390/e28101110","DOIUrl":"https://doi.org/10.3390/e28101110","url":null,"abstract":"This paper investigates the non-linear characteristics and heterogeneous evolution of cross-market risk transmission in China by constructing a multi-layered analysis framework that integrates linear spillovers, non-linear transmission, and tail risk diffusion. By employing the Diebold-Yilmaz spillover index, effective transfer entropy (ETE), and quantile vector autoregression (QVAR), we systematically measure the dynamic connectedness structures and transmission pathways across key financial markets and strategic real-economy sectors. Our empirical results yield several critical insights. First, the Chinese cross-market risk network exhibits significant state-dependence and asymmetric features, where negative shocks generate stronger spillover intensities than positive ones, and systemic connectedness intensifies substantially under extreme quantile conditions, demonstrating pronounced non-linear amplification effects. Second, the high-tech sector acts as a persistent net source of non-linear information flow, which is consistent with the influence of industrial technology cycles on financial markets rather than constituting direct causal evidence. Third, the real estate market displays high network centrality, operating as a predominant net risk receiver and the ultimate heavy-bearing terminal of systemic stress. Finally, time-varying network analysis reveals that major external shocks markedly elevate network density and overall coupling, triggering synchronized risk resonance. These findings unveil the structural mechanics of risk diffusion under emerging market conditions, offering novel empirical evidence and structural insights for macroprudential regulation and cross-market risk governance.","PeriodicalId":11694,"journal":{"name":"Entropy","volume":"28 10","pages":""},"PeriodicalIF":2.1,"publicationDate":"2026-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149264437","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Reliability Analysis of Lithium-Ion Battery Aging Lifetime Based on Adaptive Progressive Type-II Censored Data. 基于自适应渐进式ii型截尾数据的锂离子电池老化寿命可靠性分析。

IF 2.1 3区物理与天体物理

Entropy Pub Date : 2026-10-11 DOI: 10.3390/e28101108

Shixiao Xiao, Jingwei Xu, Yanqiu Zeng, Xinyu Wu

{"title":"Reliability Analysis of Lithium-Ion Battery Aging Lifetime Based on Adaptive Progressive Type-II Censored Data.","authors":"Shixiao Xiao, Jingwei Xu, Yanqiu Zeng, Xinyu Wu","doi":"10.3390/e28101108","DOIUrl":"https://doi.org/10.3390/e28101108","url":null,"abstract":"Lithium-ion battery accelerated aging tests are costly and use small samples, while conventional censoring ignores electrochemical degradation dynamics and biases lifetime estimates. The power Rayleigh distribution has a monotonically increasing hazard rate consistent with aging from solid electrolyte interphase thickening and lithium plating. We combine it with adaptive progressive Type-II censoring that stops early sample withdrawals once failure capacity crosses the end-of-life threshold, preserving right tail degradation information. Parameters are estimated by maximum likelihood with multiple starts and limited memory BFGS, and by hybrid Metropolis-Hastings Markov chain Monte Carlo Bayesian inference, validated by Monte Carlo simulation and NASA 4 °C cycling data. Mild censoring retains roughly 10% more right tail information than heavy censoring. For point estimation, maximum likelihood has slightly lower bias for the moderate sample (n = 66), whereas Bayesian estimation is more robust under small sample censoring (n = 40); the highest posterior density credible interval is on average 12% narrower than the asymptotic interval while keeping nominal coverage. Although this distribution reparametrizes the two-parameter Weibull family with identical fit indices, its Shannon entropy and quantile functions have elementary closed forms, avoiding nested numerical integration and delivering about 740 times faster Bayesian sampling per chain with better numerical stability for onboard computation. Sensitivity analysis shows removing one extreme cell weakens the fit, so the framework suits homogeneous cell subpopulations under uniform conditions. Validation remains limited to low-temperature cycling; extending it to combined temperature and charge rate stresses is our immediate priority.","PeriodicalId":11694,"journal":{"name":"Entropy","volume":"28 10","pages":""},"PeriodicalIF":2.1,"publicationDate":"2026-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149264536","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Stochastic Dynamics of Sensitive and Resistant Bacteria Under Capacity-Limited Antibiotic Treatment.

IF 2.1 3区物理与天体物理

Entropy Pub Date : 2026-10-11 DOI: 10.3390/e28101107

A Almutairi, M A Sohaly

{"title":"Stochastic Dynamics of Sensitive and Resistant Bacteria Under Capacity-Limited Antibiotic Treatment.","authors":"A Almutairi, M A Sohaly","doi":"10.3390/e28101107","DOIUrl":"https://doi.org/10.3390/e28101107","url":null,"abstract":"Antimicrobial resistance is a major challenge in the effective treatment of bacterial infections because antibiotic exposure can selectively suppress sensitive bacteria while allowing resistant populations to persist and expand. In this study, we develop a finite-state stochastic population model for the joint dynamics of antibiotic-sensitive and antibiotic-resistant bacteria under capacity-limited treatment. The model is formulated as a bivariate continuous-time Markov chain with density-dependent logistic growth, sensitive-to-resistant mutation, differential antibiotic susceptibility, finite carrying capacity, and bounded treatment-removal capacity. Because the extinction state is absorbing, the ordinary stationary distribution of the full finite-state process is concentrated at extinction, and long-lived non-extinct behavior is therefore analyzed through transient and quasi-stationary perspectives. Exact first-moment equations are derived, showing that mutation transfers individuals from the sensitive population to the resistant population without creating additional bacterial individuals. Local stability near extinction is characterized by the growth rates rs=λs-μ-ν and rr=λr-ϵμ. The positive equilibria of the deterministic fluid approximation are then derived under the different treatment-capacity regimes, while capacity-induced critical transitions are characterized through the equilibrium equations and the singularity condition detJ=0, where J is the Jacobian of the deterministic drift. Near a nondegenerate fold, the model exhibits square-root equilibrium scaling and critical slowing down. Gillespie Monte Carlo simulations complement the analytical results by quantifying finite-horizon survival probability, extinction time, conditional bacterial burden, resistant fraction, and cumulative bacterial exposure. The resulting framework provides a mathematically consistent description of how bacterial growth, mutation, differential susceptibility, and limited treatment capacity jointly influence extinction and long-lived persistence.","PeriodicalId":11694,"journal":{"name":"Entropy","volume":"28 10","pages":""},"PeriodicalIF":2.1,"publicationDate":"2026-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149264674","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Efficient Multivariate Time-Series Forecasting via Latency-Constrained Distillation and Dynamic Pruning.

IF 2.1 3区物理与天体物理

Entropy Pub Date : 2026-10-10 DOI: 10.3390/e28101104

Yuting Bai, Xixian Zhang, Jianlei Kong, Xuebo Jin, Tingli Su

{"title":"Efficient Multivariate Time-Series Forecasting via Latency-Constrained Distillation and Dynamic Pruning.","authors":"Yuting Bai, Xixian Zhang, Jianlei Kong, Xuebo Jin, Tingli Su","doi":"10.3390/e28101104","DOIUrl":"https://doi.org/10.3390/e28101104","url":null,"abstract":"Multivariate time-series forecasting models often achieve improved prediction accuracy at the cost of increased model complexity and inference latency, limiting their deployment on resource-constrained computing platforms. In addition, lower parameter counts or theoretical computational costs do not necessarily lead to faster execution on actual hardware. To address this issue, we propose a Latency-Constrained Distillation and Dynamic Pruning (LCDP) framework for efficient multivariate time-series forecasting. LCDP introduces a latency-constrained adaptive optimization strategy that jointly considers forecasting loss, knowledge-distillation loss, local feature-alignment loss, and hardware inference latency during student-model training. Local feature-guided knowledge transfer is used to enhance the student model's ability to capture fine-grained temporal patterns, while deployment-oriented dynamic structural pruning progressively adjusts the group-wise sparsity pattern of the student model according to latency feedback from the target hardware while retaining the original dense layer dimensions. Experiments on the ETTh1, ETTm1, and ETTm2 datasets using two CPU platforms show that LCDP achieves competitive forecasting accuracy with a lightweight student inference backbone containing 7336 active parameters and requiring 50,848 dense multiply-accumulate operations. The saved student checkpoint additionally contains 2080 parameters in a training-time feature-alignment projection that is not invoked during inference. LCDP provides an effective balance between forecasting accuracy and practical inference efficiency, demonstrating its potential for low-latency multivariate time-series forecasting on CPU-based resource-constrained platforms.","PeriodicalId":11694,"journal":{"name":"Entropy","volume":"28 10","pages":""},"PeriodicalIF":2.1,"publicationDate":"2026-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149264413","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0