EntropyPub Date : 2026-10-10DOI: 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":"<p><p>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.</p>","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}
EntropyPub Date : 2026-10-10DOI: 10.3390/e28101102
Dongming Peng, Yigang He, Qianqian Liu
{"title":"Robust Augmented-Diffusion Filtered-x Maximum Correntropy Criterion for Distributed Active Noise Control Under Impulsive Noise.","authors":"Dongming Peng, Yigang He, Qianqian Liu","doi":"10.3390/e28101102","DOIUrl":"https://doi.org/10.3390/e28101102","url":null,"abstract":"<p><p>Distributed multichannel active noise control (ANC) is scalable, but filtered-x least-mean-square updates are highly sensitive to impulsive disturbances. This paper proposes a robust augmented-diffusion filtered-x maximum correntropy criterion algorithm (R-ADFxMCC). It keeps the fixed admissible combination of augmented diffusion and replaces the local squared-error update with a normalized correntropy-gated recursion, whose kernel width follows a median-absolute-deviation estimate of the local residual scale. The resulting influence function is bounded and redescending. Under the stated independence and linearization approximations, the analysis gives a combination-weight-independent mean stability condition and a local steady-state excess mean-square error approximation; a symmetry argument proves zero steady-state mean bias without requiring independence between the gate and the regressors. In 30-realization simulations with one validation protocol for all step sizes, the median steady-state gains over augmented-diffusion FxLMS are 25.79, 21.84, 13.80 and 6.46 dB for single-tone, multitone, narrowband and broadband references under localized Bernoulli-Gaussian impulses. The augmented-diffusion M-estimate algorithm reaches the same steady state within 0.45 dB at the validation-selected step sizes, but on single-tone and narrowband references, R-ADFxMCC remains stable at step sizes at which the M-estimate algorithm diverges. Tests with α-stable noise, reverberation, secondary-path errors and measured per-sample cost are also reported.</p>","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":"149264556","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}
EntropyPub Date : 2026-10-10DOI: 10.3390/e28101101
Ellis E Marshall, Chad C Nelmes, Tony J G Apollaro, Timothy P Spiller, Irene D'Amico
{"title":"Distinct Modes of Quantum Information Transfer in Power-Law Long-Range Spin Networks.","authors":"Ellis E Marshall, Chad C Nelmes, Tony J G Apollaro, Timothy P Spiller, Irene D'Amico","doi":"10.3390/e28101101","DOIUrl":"https://doi.org/10.3390/e28101101","url":null,"abstract":"<p><p>We identify different regimes of quantum state transfer in long-range coupled spin-12 systems, where naturally occurring power-law interactions enable rapid, high-fidelity transfer with minimal engineering. Across a broad range of interaction profiles, from effectively nearest-neighbour coupling to Coulomb interactions, we show how long-range connectivity fundamentally reshapes the mechanisms underlying information propagation within such systems. For effectively short-range interactions, transfer follows familiar ballistic transfer dynamics: an initially localised excitation spreads across many eigenmodes concentrated within the approximately linear region of the spectrum, enabling robust wavepacket motion. In contrast, increasing long-distance interactions via lowering the power-law exponent α (α=1-2) drives a striking transformation, where the initial state becomes confined to progressively fewer eigenmodes, ultimately reducing the dynamics to the coherent participation of only a few states corresponding to the highest eigenenergies. This spectral localisation gives rise to emergent long-range oscillations between distant sites, revealing a distinct-and faster-transfer mechanism arising from the intrinsic structure of long-range quantum interactions rather than from full-system engineering pathways.</p>","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":"149264381","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}
EntropyPub Date : 2026-10-10DOI: 10.3390/e28101106
Jin Uk Park, Seo-Eun Park, Dongsup Jin, Jin-Ho Chung
{"title":"Difference-Spectrum Completion of Multi-Weight Optical Orthogonal Codes.","authors":"Jin Uk Park, Seo-Eun Park, Dongsup Jin, Jin-Ho Chung","doi":"10.3390/e28101106","DOIUrl":"https://doi.org/10.3390/e28101106","url":null,"abstract":"<p><p>Variable-weight (also called multi-weight) optical orthogonal codes (VW-OOCs) with maximum correlation one admit a cyclic difference-packing formulation. We characterize the exact difference spectrum of an existing Chinese-remainder graph construction: each mixed-coordinate difference determines a unique candidate base pair and graph index. A pairwise balanced design covers the mixed region exactly, enabling independent completion on the two coordinate axes. For weights {3,4}, punctured finite geometries give families that are optimal for their prescribed profiles. For every prime p≡1(mod12), the length-12p family has (n3,n4)=((p+1)/2,3(p-1)/4), profile (2(p+1),3(p-1))/(5p-1), and deficiency 5. For every prime p≡1(mod30), the length-15p family has (n3,n4)=((p-1)/2,p), profile (p-1,2p)/(3p-1), and deficiency 2. Both deficiencies are the minima permitted by congruence. This study's contribution is the exact-spectrum analysis and its uniform completion mechanism; the lengths and weight set are known, and the second completed parameter tuple follows by filling a previously known regular packing. Explicit examples are verified by exact enumeration.</p>","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":"149264386","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}
EntropyPub Date : 2026-10-10DOI: 10.3390/e28101105
Xiaoqian Zhang, Chuancun Yin
{"title":"Quantifying Dependence Between Random Vectors: A New Index with Applications.","authors":"Xiaoqian Zhang, Chuancun Yin","doi":"10.3390/e28101105","DOIUrl":"https://doi.org/10.3390/e28101105","url":null,"abstract":"<p><p>This article proposes a new index for quantifying the degree of dependence between random vectors with the same dimension. The index takes values in [0, 1] and equals zero if and only if the random vectors are sub-independent. Unlike mere uncorrelatedness, sub-independence implies a stronger form of dependence while remaining strictly weaker than full independence. The proposed index is constructed via characteristic functions and admits a simplified representation in terms of moments. We establish its theoretical properties and derive a computationally efficient formula for the corresponding empirical measure. Furthermore, we investigate the asymptotic behavior and finite-sample performance of the estimator and demonstrate its practical utility through applications in machine learning, actuarial science, and renewal theory. A numerical comparison with Pearson correlation and squared distance correlation is also given under several dependence structures. We also give a real-data application to international stock and foreign exchange returns.</p>","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":"149264517","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}
EntropyPub Date : 2026-10-09DOI: 10.3390/e28101099
Mohammad Maadani, Eric A Butcher
{"title":"Fractional-Order PID Cooperative Pose Control of Multi-Agent Rigid-Body Systems on TSE(3)<i><sup>N</sup></i>.","authors":"Mohammad Maadani, Eric A Butcher","doi":"10.3390/e28101099","DOIUrl":"https://doi.org/10.3390/e28101099","url":null,"abstract":"<p><p>Fractional-order PID control extends conventional PID control by allowing the integral and derivative orders to take non-integer values, thereby introducing α and β as additional tuning parameters beyond the conventional PID gains. Two strategies for fractional-order PIβDα cooperative pose control of a multi-agent rigid body system are considered assuming both undirected and directed communication networks, together with Caputo fractional derivative and integral operators. The rigid-body pose configurations are described using exponential coordinates associated with the Lie group SE(3), while the state space is TSE(3)N. Analytical stability bounds are obtained using Matignon's theorem in terms of the proportional, derivative, and integral gains for the attitude and translational controllers, as well as the fractional orders, that guarantee global Mittag-Leffler stability. The fractional control strategy provides additional flexibility in tuning the closed-loop response beyond that of conventional integer-order PID control. Since the fractional derivative states are not directly measurable, a Luenberger observer is employed to estimate these states from the measurable pose exponential coordinates, and the resulting estimates are used in the implementation of the feedback protocols. Simulation examples of formation establishment further incorporate cohesion and collision-avoidance strategies based on artificial potential functions, illustrating the effectiveness and practical implementation of the proposed fractional PIβDα control protocols.</p>","PeriodicalId":11694,"journal":{"name":"Entropy","volume":"28 10","pages":""},"PeriodicalIF":2.1,"publicationDate":"2026-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149264516","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}
EntropyPub Date : 2026-10-09DOI: 10.3390/e28101100
Nafisa Ablat, Shuzhen Yu, Haijun Jiang
{"title":"Stochastic Rumor Propagation Dynamics with Log-Normal Ornstein-Uhlenbeck Process.","authors":"Nafisa Ablat, Shuzhen Yu, Haijun Jiang","doi":"10.3390/e28101100","DOIUrl":"https://doi.org/10.3390/e28101100","url":null,"abstract":"<p><p>Considering the inevitable impact of environmental interference on rumor propagation, this paper constructs and studies a stochastic rumor propagation model in which the diffusion rate is described by the Log-normal Ornstein-Uhlenbeck (OU) process. Firstly, we rigorously prove the existence and uniqueness of global positive solutions for the model, which serves as a fundamental prerequisite for further dynamical analysis. Subsequently, by constructing an appropriate Lyapunov function and combining it with the ergodic property of the OU process, sufficient criteria for the existence of a stationary distribution of the system are given. Finally, we demonstrate that when R0e≤1, rumors will tend to become extinct at an exponential rate.</p>","PeriodicalId":11694,"journal":{"name":"Entropy","volume":"28 10","pages":""},"PeriodicalIF":2.1,"publicationDate":"2026-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149264598","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}
{"title":"An Improved Classification Method Using a New Generalized Base Belief Function.","authors":"Qi Wei, Shiqi Qiang, Hangjun Li, Shan He, Junqiang Liu, Longxiang Hou, Yongchuan Tang","doi":"10.3390/e28101098","DOIUrl":"https://doi.org/10.3390/e28101098","url":null,"abstract":"<p><p>Open-world classification must account for samples whose classes are absent from the current frame of discernment. Although generalized evidence theory can represent such possibilities, the conventional base belief function assigns reference support only to nonempty propositions and therefore cannot directly support source-level treatment of unknown information. This work proposes a generalized base belief function that incorporates the open-world proposition into its reference domain and uses it to modify generalized basic probability assignments before fusion. The modified evidence is combined through rules compatible with generalized evidence theory and followed by a known/unknown decision, forming a complete classification procedure for incomplete frames. Experiments on Iris and Seeds show that source-level modification and generalized fusion jointly support known/unknown classification. On Waveform, classification remains stable as controlled perturbation increases in a larger, higher-dimensional, noisy environment. On the Wall-Following Robot dataset, the procedure gives a selective known/unknown decision across different class compositions, preserving known samples while retaining overall discrimination close to GCR. These results support the proposed GBBF-based method for open-world classification under incomplete frames.</p>","PeriodicalId":11694,"journal":{"name":"Entropy","volume":"28 10","pages":""},"PeriodicalIF":2.1,"publicationDate":"2026-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149264418","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}
EntropyPub Date : 2026-10-08DOI: 10.3390/e28101093
Jianming Wen
{"title":"Measurement Entropy and Conditional Information in Time-Reversed Young Interferometry.","authors":"Jianming Wen","doi":"10.3390/e28101093","DOIUrl":"https://doi.org/10.3390/e28101093","url":null,"abstract":"<p><p>Time-reversed Young (TRY) interferometry holds a detector channel fixed while a source coordinate is scanned or programmed. We describe this measurement through a single accepted source-detector probability law obtained from scalar Fresnel propagation, the programmed source prior, and detector acceptance. The conventional fixed-source Young distribution, the source and detector marginals, and the fixed-detector TRY distribution are then different reductions of that common record. Standard information measures can therefore be assigned without ambiguity to the probability law actually measured. For a symmetric double-slit response with matched source and detector windows, the fixed-source and fixed-detector conditional distributions have the same entropy; the physically useful information from detector conditioning is instead expressed by grid-stable entropy deficits and Kullback-Leibler information gains. The canonical example gives a modest prior-to-posterior information gain and establishes a transparent baseline for more selective source programming, detector modes, or operating points. Finite slit width, finite-source element width, finite detector pixels, and finite-count entropy estimation are included to connect the ideal model with experiments. A phase scan then shows that conditional entropy and Fisher information characterize different properties of the same likelihood, while a two-mode coherence model separates record entropy from optical coherence entropy and distinguishes coherent superposition from incoherent mixture. The framework gives a unified statistical interpretation of fixed-detector, source-programmed Young interferometry while keeping optical reciprocity, Bayesian conditioning, local parameter sensitivity, and quantum state disturbance conceptually distinct.</p>","PeriodicalId":11694,"journal":{"name":"Entropy","volume":"28 10","pages":""},"PeriodicalIF":2.1,"publicationDate":"2026-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149264524","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}
EntropyPub Date : 2026-10-08DOI: 10.3390/e28101094
Peihua Li
{"title":"New Bounds on the Aperiodic Hamming Correlation of Wide-Gap Frequency-Hopping Sequence Sets.","authors":"Peihua Li","doi":"10.3390/e28101094","DOIUrl":"https://doi.org/10.3390/e28101094","url":null,"abstract":"<p><p>Wide-gap frequency-hopping sequences (WGFHSs) require a sufficiently large frequency gap between adjacent frequency points, which grants them inherent resistance against tracking jamming, barrage jamming, and multipath fading. Such sequences constitute a critical building block for enhancing the anti-jamming performance of frequency-hopping communication systems operating in complex electromagnetic environments. In practical systems, the aperiodic Hamming correlation of sequences directly affects receiver synchronization and sequence acquisition performance. Hence it bears greater practical significance than periodic Hamming correlation. However, owing to the complexity of application scenarios, related research is challenging, and existing results remain limited. In this paper, we extend the traditional Peng-Fan aperiodic bound to WGFHSs, and derive two lower bounds on the maximum aperiodic Hamming correlation of WGFHS sets. Numerical examples demonstrate that the proposed bounds are tighter than the traditional Peng-Fan aperiodic bound. This provides a more rigorous theoretical foundation for the design of WGFHS sets.</p>","PeriodicalId":11694,"journal":{"name":"Entropy","volume":"28 10","pages":""},"PeriodicalIF":2.1,"publicationDate":"2026-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149264514","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}