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Investigation of thermo-magnetic properties in Ni-nanoparticles and Ni-PVA composites ni -纳米颗粒及Ni-PVA复合材料的热磁性能研究
IF 1.4 Q2 Physics and Astronomy Pub Date : 2026-02-01 Epub Date: 2026-01-05 DOI: 10.1016/j.physo.2026.100368
Mahmoud A. Hamad , Hatem R. Alamri , Ashraf M. Mohamed , Yasser I. Khedr , Mohamed E. Harb , Sameh M. Elghnam
To simulate the magnetocaloric effect (MCE) of Ni-nanoparticles and Ni-PVA composites, a phenomenological model (PM) is used. The MCE parameters of Ni-nanoparticles and Ni-PVA composites are calculated as the results of magnetization vs. temperature simulations. The cryogenic temperature range of MCE in Ni-nanoparticles and Ni-PVA composites is 10–40 K. Furthermore, Ni-nanoparticles serve important roles in tailoring the specific heat variability and changing the temperature range that covers this variation. In comparison, the MCE parameters of Ni-nanoparticles and Ni-PVA composites are therefore larger than the various MCE parameters of some published magnetocaloric (MC) samples. It is stated that Ni-nanoparticles and Ni-PVA composites could be utilized in effective cryogenic MR as MC magnets.
为了模拟ni -纳米粒子和Ni-PVA复合材料的磁热效应,采用了一种现象学模型(PM)。通过对ni -纳米粒子和Ni-PVA复合材料磁化温度的模拟,计算了其MCE参数。MCE在ni -纳米粒子和Ni-PVA复合材料中的低温范围为10-40 K。此外,镍纳米颗粒在调整比热变异性和改变覆盖这种变化的温度范围方面发挥着重要作用。相比之下,ni -纳米粒子和Ni-PVA复合材料的MCE参数大于一些已发表的磁热(MC)样品的各种MCE参数。ni -纳米粒子和Ni-PVA复合材料可以作为MC磁体有效地应用于低温磁流变中。
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引用次数: 0
Machine learning Calabi–Yau three-folds, four-folds, and five-folds 机器学习Calabi-Yau三倍,四倍,五倍
IF 1.4 Q2 Physics and Astronomy Pub Date : 2026-02-01 Epub Date: 2025-12-18 DOI: 10.1016/j.physo.2025.100360
Kaniba Mady Keita , Younouss Hamèye Dicko
In this manuscript, we demonstrate, using several regression techniques, that the remaining independent Hodge numbers of complete intersection Calabi–Yau four-folds and five-folds can be machine learned from h1,1 and h2,1. Consequently, we combine the Hodge numbers h1,1 and h2,1 from the complete intersection Calabi-Yau three-folds, four-folds, and five-folds into a single dataset. We then implement various classification algorithms on this dataset. For example, Gaussian process and naive Bayes classifiers both achieve 100% accuracy in binary classification between three-folds and four-folds. Using the Support Vector Machine (SVM) algorithm, a special corner is identified in the Calabi–Yau four-fold landscape (characterized by 15h1,130 and 95h2,1100) during multiclass classification. Furthermore, the highest accuracy 1.00000, in classifying Calabi–Yau three-folds, four-folds, and five-folds is obtained using the naive Bayes classifier.
在本文中,我们使用几种回归技术证明,完全相交Calabi-Yau四倍和五倍的剩余独立Hodge数可以从h1,1和h2,1机器学习。因此,我们将来自Calabi-Yau的完整交集的三倍、四倍和五倍的Hodge数h1,1和h2,1合并为一个单一的数据集。然后我们在这个数据集上实现各种分类算法。例如,高斯过程和朴素贝叶斯分类器在三倍和四倍之间的二元分类中都达到了100%的准确率。利用支持向量机(SVM)算法,在Calabi-Yau四重景观(特征为15≤h1,1≤30和95≤h2,1≤100)进行多类分类时,识别出一个特殊的角点。此外,使用朴素贝叶斯分类器对Calabi-Yau进行三倍、四倍和五倍分类的准确率最高,达到100万。
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引用次数: 0
Dosimetric and radiobiological parameters in brain cancers: A comparison of IMRT and VMAT techniques 脑癌的剂量学和放射生物学参数:IMRT和VMAT技术的比较
IF 1.4 Q2 Physics and Astronomy Pub Date : 2026-02-01 Epub Date: 2025-12-23 DOI: 10.1016/j.physo.2025.100362
Hamed Zamani , Mohsen Saeb , Shahram Monadi , Mostafa Alizade-Harakiyan , Ali Akhavan , Amin Khodaei , Alireza Farajollahi , Mikaeil Molazadeh

Aim

This study aimed to perform a physics-driven comparison of volumetric modulated arc therapy (VMAT) and intensity-modulated radiation therapy (IMRT) for brain cancers by integrating quantitative dosimetric indices derived from Monte Carlo–based dose calculation and radiobiological modeling. Plans prescribed at 50 Gy and 60 Gy were evaluated to investigate both physical dose distribution characteristics and predicted biological outcomes.

Materials and methods

Eighty-four computed tomography (CT) datasets of brain cancer patients (mean age, 51.9 ± 12.8 years) were used for treatment planning. IMRT plans were generated using 7–9 non-coplanar fields, while VMAT plans employed a single full clockwise arc. Dose calculations were performed using a Monte Carlo algorithm within the treatment planning system to ensure accurate modeling of dose deposition in heterogeneous intracranial tissues. Quantitative dosimetric parameters, including minimum, mean, maximum doses and dose–volume metrics, were extracted. Conformity index (CI) and homogeneity index (HI) were calculated to assess plan quality from a physics standpoint. For radiobiological evaluation, dose–volume histograms (DVHs) were exported to Biosuit software to compute tumor control probability (TCP) using Niemierko's EUD-based model and normal tissue complication probability (NTCP) for organs at risk (OARs) using the Lyman–Kutcher–Burman (LKB) model.

Results

VMAT demonstrated significantly shorter delivery times compared with IMRT (7.52 ± 0.60 vs. 11.20 ± 1.14 min; P = 0.012) and required fewer monitor units per fraction, reflecting higher delivery efficiency. Quantitative dosimetric analysis revealed significant differences in Dmin, D2 %, HI (0.12 ± 0.07 for VMAT vs. 0.14 ± 0.08 for IMRT; P = 0.01), and CI (0.76 ± 0.05 for VMAT vs. 0.72 ± 0.05 for IMRT; P < 0.001), indicating improved dose conformity and homogeneity with VMAT. Radiobiological modeling showed higher TCP for VMAT (0.83 ± 0.07 vs. 0.80 ± 0.06; P = 0.04) and generally lower NTCP and EUD values for several OARs, although most NTCP differences were not statistically significant. Lower prescription dose (50 Gy) resulted in reduced OAR doses and NTCP values compared with 60 Gy.

Conclusion

From a medical physics perspective, VMAT provides superior dosimetric performance and delivery efficiency compared with IMRT, while Monte Carlo–based dose calculation and radiobiological modeling suggest modest improvements in predicted tumor control and normal tissue sparing. The integration of advanced dose calculation algorithms with TCP/NTCP analysis enhances understanding of the physical–biological interplay in intracranial radiotherapy planning.
目的本研究旨在通过整合基于蒙特卡洛剂量计算和放射生物学模型得出的定量剂量学指标,对体积调制电弧治疗(VMAT)和调强放疗(IMRT)治疗脑癌进行物理驱动的比较。评估了50gy和60gy的剂量计划,以研究物理剂量分布特征和预测的生物学结果。材料与方法采用84例脑癌患者(平均年龄51.9±12.8岁)的CT数据集制定治疗方案。IMRT计划使用7-9个非共面场生成,而VMAT计划使用单个完整的顺时针弧。在治疗计划系统中使用蒙特卡罗算法进行剂量计算,以确保对异质性颅内组织中的剂量沉积进行准确建模。提取定量剂量学参数,包括最小、平均、最大剂量和剂量-体积指标。计算一致性指数(CI)和均匀性指数(HI),从物理角度评估计划质量。放射生物学评估,将剂量-体积直方图(DVHs)输出到Biosuit软件,使用Niemierko基于eud的模型计算肿瘤控制概率(TCP),使用Lyman-Kutcher-Burman (LKB)模型计算危险器官(OARs)的正常组织并发症概率(NTCP)。结果vmat与IMRT相比递送时间明显缩短(7.52±0.60 vs 11.20±1.14 min; P = 0.012),每分数所需的监护单位更少,反映出更高的递送效率。定量剂量学分析显示,Dmin、D2 %、HI (VMAT组0.12±0.07,IMRT组0.14±0.08,P = 0.01)和CI (VMAT组0.76±0.05,IMRT组0.72±0.05,P < 0.001)差异有统计学意义,表明VMAT的剂量一致性和均匀性得到改善。放射生物学模型显示VMAT的TCP较高(0.83±0.07 vs. 0.80±0.06;P = 0.04),几种桨的NTCP和EUD值普遍较低,尽管大多数NTCP差异无统计学意义。与60 Gy相比,较低的处方剂量(50 Gy)导致OAR剂量和NTCP值降低。结论从医学物理学的角度来看,VMAT与IMRT相比具有更好的剂量学性能和递送效率,而基于蒙特卡罗的剂量计算和放射生物学模型表明,VMAT在预测肿瘤控制和正常组织保留方面有适度的改善。将先进的剂量计算算法与TCP/NTCP分析相结合,增强了对颅内放疗计划中物理-生物相互作用的理解。
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引用次数: 0
Investigation of oscillatory second-grade fluid flow through porous media under slip and thermal influences 滑移和热影响下二阶流体在多孔介质中的振荡流动研究
IF 1.4 Q2 Physics and Astronomy Pub Date : 2026-02-01 Epub Date: 2025-12-27 DOI: 10.1016/j.physo.2025.100363
Z. Abbas, A. Gull, G. Nazik, M.Y. Rafiq, M. Mujahid
This study presents an analytical investigation of oscillatory magnetohydrodynamic (MHD) flow of an electrically conducting second-grade fluid through a porous medium, incorporating the combined influences of velocity slip, thermal radiation, and a first-order chemical reaction. The governing momentum, energy, and concentration equations are formulated using the Boussinesq approximation and Darcy's law, assuming laminar, incompressible, and time-dependent flow. Through appropriate similarity transformations, the system is reduced to a set of ordinary differential equations, for which exact solutions for velocity, temperature, and concentration are derived. The results reveal that magnetic field strength and buoyancy forces significantly suppress fluid velocity due to enhanced Lorentz and thermal resistance effects, whereas thermal radiation elevates temperature throughout the channel. Increasing the Schmidt number and reaction rate reduces solute concentration, indicating diminished mass diffusivity. Heat and mass transfer characteristics, quantified through Nusselt and Sherwood numbers, show that higher Prandtl numbers enhance thermal transport, while stronger chemical reactions lower mass transfer rates. The main novelty of this work lies in obtaining closed-form solutions for oscillatory second-grade fluid flow in a porous medium under the simultaneous effects of slip, radiation, and chemical reaction, offering benchmark results and valuable physical insights for applications in heat exchangers, catalytic reactors, polymer processing, and biomedical flow control systems.
本文对一种导电二级流体在多孔介质中的振荡磁流体动力学(MHD)流动进行了分析研究,考虑了速度滑移、热辐射和一级化学反应的综合影响。控制动量、能量和浓度方程是使用Boussinesq近似和Darcy定律制定的,假设层流、不可压缩和随时间变化的流动。通过适当的相似变换,将系统简化为一组常微分方程,并推导出速度、温度和浓度的精确解。结果表明,由于洛伦兹和热阻效应的增强,磁场强度和浮力显著抑制流体速度,而热辐射则升高整个通道的温度。增加施密特数和反应速率降低溶质浓度,表明质量扩散系数降低。通过Nusselt和Sherwood数量化的传热传质特性表明,更高的普朗特数增强了热传递,而更强的化学反应降低了传质速率。这项工作的主要新颖之处在于获得了在滑移、辐射和化学反应同时作用下多孔介质中振荡二级流体流动的封闭形式解,为热交换器、催化反应器、聚合物加工和生物医学流动控制系统的应用提供了基准结果和有价值的物理见解。
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引用次数: 0
A physics-informed neural network framework for modeling rogue and breather solutions in conformable fractional nonlinear wave systems 符合分数阶非线性波动系统中流氓解和呼吸解建模的物理信息神经网络框架
IF 1.4 Q2 Physics and Astronomy Pub Date : 2026-02-01 Epub Date: 2025-12-09 DOI: 10.1016/j.physo.2025.100356
Md. Towhiduzzaman , Md. Abdul Al Mohit , A.Z.M. Asaduzzaman
This study presents a robust and generalized Physics-Informed Neural Network (PINN) framework for solving a class of conformable fractional nonlinear wave equations (CFNWEs). These equations are widely used in modeling complex wave dynamics in physical systems exhibiting memory and hereditary effects. By embedding the conformable fractional operator directly into the neural network architecture, the proposed model accurately captures localized nonlinear structures, including rogue waves and breather-type solutions. The framework employs a composite loss function integrating initial, boundary, and PDE residual constraints, optimized through a hybrid training strategy combining Adam and L-BFGS optimizers. Extensive numerical experiments validate the accuracy, physical consistency, and reproducibility of the proposed approach, demonstrating close agreement with analytical solutions. Moreover, the model exhibits robust performance under sparse and noisy data conditions, highlighting its potential for broad applications in wave dynamics, viscoelastic media, and nonlinear signal forecasting.
本文提出了一个鲁棒的广义物理信息神经网络(PINN)框架,用于求解一类可调分数阶非线性波动方程(CFNWEs)。这些方程被广泛用于模拟具有记忆和遗传效应的物理系统中的复杂波动动力学。通过将符合分数算子直接嵌入到神经网络结构中,该模型可以准确捕获局部非线性结构,包括异常波和呼吸型解。该框架采用了一个综合了初始、边界和PDE残差约束的复合损失函数,并通过结合Adam和L-BFGS优化器的混合训练策略进行了优化。大量的数值实验验证了所提出方法的准确性、物理一致性和可重复性,证明了与解析解的密切一致。此外,该模型在稀疏和噪声数据条件下表现出鲁棒性,突出了其在波动动力学、粘弹性介质和非线性信号预测方面的广泛应用潜力。
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引用次数: 0
The enhancement of the interfacial thermal conductance at the Cu/Si heterointerface by the amorphous carbon intermediate layer 非晶碳中间层对Cu/Si异质界面界面导热性能的增强
IF 1.4 Q2 Physics and Astronomy Pub Date : 2026-02-01 Epub Date: 2026-01-10 DOI: 10.1016/j.physo.2026.100370
Nana Zhang
Heterostructures with different amorphous carbon (a-C) areas are fabricated through simulated magnetron sputtering and mask plates using molecular dynamics simulation. The rationality of the structures is analyzed by number/mass density, hybridization ratio of bonds, radial distribution function and bond angle distribution. Furthermore, the effect of the coverage area of a-C on the interfacial thermal conductance (ITC) of Cu/a-C/Si heterostructures is analyzed in depth. The results showed that the fully covered amorphous carbon insertion layer improves ITC by 67.84 % compared to Cu/Si heterostructure without a-C insertion layer. Phonon density of states (PDOS) shows that phonons within 0–8 THz dominate the heat transport at the heterointerface, and the increase in the coverage area of a-C enhances interfacial phonon transmission in 0–8 THz, allowing phonons to carry more heat energy across the heterointerface. The results and conclusion would have important guiding significance for enhancing the thermal transfer performance of semiconductor devices.
采用分子动力学模拟方法,通过磁控溅射和掩膜制备了具有不同非晶碳(a-C)区域的异质结构。通过数/质量密度、键的杂化比、径向分布函数和键角分布分析了结构的合理性。进一步分析了a-C覆盖面积对Cu/a-C/Si异质结构界面热导率的影响。结果表明,与不含碳插入层的Cu/Si异质结构相比,完全覆盖非晶碳插入层的ITC提高了67.84%。声子态密度(PDOS)表明,0-8 THz范围内的声子主导着异质界面的热传输,a-C覆盖面积的增加增强了0-8 THz范围内的界面声子传输,使声子能够携带更多的热能穿过异质界面。研究结果和结论对提高半导体器件的传热性能具有重要的指导意义。
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引用次数: 0
Fractal time numerical modelling of radiative heat and mass transfer in Carreau–Yasuda mixed convective flow carau - yasuda混合对流中辐射传热传质的分形时间数值模拟
IF 1.4 Q2 Physics and Astronomy Pub Date : 2026-02-01 Epub Date: 2025-12-20 DOI: 10.1016/j.physo.2025.100359
Muhammad Shoaib Arif , Yasir Nawaz , Kamaleldin Abodayeh
This paper demonstrates a computational process in simulating the unsteady radiative mixed convective flow of a Carreau-Yasuda nanofluid by a porous material, when subjected to a magnetic field. Fractal time derivatives are used to model an approach that captures the memory-dependent behaviour of complex transport phenomena. A novel three-stage explicit time integration scheme is developed, delivering third-order temporal accuracy tailored to fractal-time partial differential equations. For spatial discretization, a compact sixth-order scheme is used to improve numerical precision in the interior domain. The proposed framework incorporates thermal and solutal buoyancy effects, nonlinear rheology, Brownian motion, thermophoresis, and contributions from a heat source. It also accounts for the influence of oscillatory boundary conditions and Darcy-Forchheimer drag within porous structures. Rigorous stability and convergence analyses confirm the robustness of the scheme. Quantitative comparisons reveal that at a time step of Δt=0.12250, the proposed scheme achieves an L2 error of 6.72×105 and consumes approximately 97.62 s, while the second-order scheme reaches an error of 1.06×104 with a runtime of 173.82 s under the same compact discretization, highlighting both its efficiency and stability. Numerical experiments demonstrate that the method outperforms existing first- and second-order schemes in both accuracy and computational efficiency. Furthermore, a velocity reduction of over 30% observed when increasing the power-law index from 0.6 to 1.2, highlighting enhanced shear-thinning behaviour. The proposed methodology not only ensures numerical stability under fine discretization but also demonstrates robustness in capturing complex flow behaviour in porous, radiatively influenced environments. This fractal-based computational framework offers a valuable tool for simulating non-Newtonian nanofluid systems in emerging thermal technologies. Fractal time derivatives effectively capture memory-dependent, scale-invariant transport phenomena, offering computational advantages and localised accuracy over traditional fractional operators.
本文给出了用多孔材料模拟carau - yasuda纳米流体在磁场作用下的非定常辐射混合对流的计算过程。分形时间导数用于模拟捕获复杂传输现象的记忆依赖行为的方法。开发了一种新的三阶段显式时间积分方案,提供适合分形时间偏微分方程的三阶时间精度。在空间离散化方面,采用紧凑的六阶格式提高了内域的数值精度。提出的框架包括热和溶质浮力效应、非线性流变、布朗运动、热泳动和热源的贡献。它还解释了多孔结构内振荡边界条件和达西-福希海默阻力的影响。严格的稳定性和收敛性分析证实了该方案的鲁棒性。定量比较表明,在时间步长Δt=0.12250时,该方案的L2误差为6.72×10−5,运行时间约为97.62 s,而在同样紧凑的离散化下,二阶方案的L2误差为1.06×10−4,运行时间为173.82 s,突出了其效率和稳定性。数值实验表明,该方法在精度和计算效率上都优于现有的一阶和二阶格式。此外,当幂律指数从0.6增加到1.2时,观察到速度降低超过30%,突出了增强的剪切变薄行为。所提出的方法不仅保证了精细离散下的数值稳定性,而且在捕获多孔、辐射影响环境中的复杂流动行为方面表现出鲁棒性。这种基于分形的计算框架为新兴热技术中模拟非牛顿纳米流体系统提供了一个有价值的工具。分形时间导数有效地捕获了依赖于内存的、尺度不变的传输现象,与传统的分数运算符相比,具有计算优势和局部精度。
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引用次数: 0
Artificial neural network analysis of energy transfer in micropolar magnetic viscous nanofluid flow over a permeable inclined surface with Dufour effect 具有Dufour效应的微极磁性粘性纳米流体在可渗透倾斜表面上的能量传递的人工神经网络分析
IF 1.4 Q2 Physics and Astronomy Pub Date : 2026-02-01 Epub Date: 2026-02-06 DOI: 10.1016/j.physo.2026.100375
Munazza Saeed , Asma Sabiah , Muhammad Sohail , Muhammad Awais Sherani , Yasser Elmasry
This work investigates the flow of a nanoliquid over a stretchable surface with micro-rotational properties. Nanotechnology has freshly emphasized the distribution of nanoparticles in liquids to enhance their thermal conductivity, facilitating energy generation and transfer. This research focuses on energy transfer through a permeable inclined surface, incorporating the effects of Dufour and thermal radiation. The study also considers the influences of viscous dissipation and magnetic forces on the porous medium. The well-known bvp4c computational technique is applied, using a suitable similarity transformation to convert the flow equations into nonlinear differential equations. Results are presented through graphs and tables, showcasing the physical characteristics and the impact of various material parameters. The findings reveal that the consequences of Dufour and Eckert contribute to an increase in the temperature profile, whereas the surface's inclination reduces the velocity profile.
这项工作研究了纳米液体在具有微旋转特性的可拉伸表面上的流动。纳米技术最近强调了纳米颗粒在液体中的分布,以提高它们的导热性,促进能量的产生和转移。本研究的重点是通过一个可渗透的倾斜表面的能量传递,结合Dufour和热辐射的影响。研究还考虑了粘性耗散和磁力对多孔介质的影响。采用著名的bvp4c计算技术,采用合适的相似变换将流动方程转化为非线性微分方程。结果通过图形和表格呈现,展示了物理特性和各种材料参数的影响。研究结果表明,Dufour和Eckert的结果导致了温度剖面的增加,而表面的倾角则降低了速度剖面。
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引用次数: 0
Analytical investigation of MHD radiative heat and mass transfer of Casson fluid over a rotating inclined plate in porous media with Hall, chemical reaction and Soret effects 具有霍尔效应、化学反应效应和索雷效应的多孔介质中旋转斜板上卡森流体MHD辐射传热传质分析研究
IF 1.4 Q2 Physics and Astronomy Pub Date : 2026-02-01 Epub Date: 2026-02-12 DOI: 10.1016/j.physo.2026.100376
Shahina Nikhath , M. Suryanarayana Reddy
This study presents an Analytical investigation of unsteady magnetohydrodynamic (MHD) heat and mass transfer in a rotating Casson fluid flow over an isothermal inclined stretching plate embedded in a porous medium. The effects of Hall current, Soret diffusion, thermal radiation, and chemical reaction are incorporated. The Casson fluid is assumed to be viscous, incompressible, non-Newtonian, and electrically conducting. An analytical solution is obtained using a perturbation technique to evaluate the velocity, temperature, and concentration distributions. The influence of governing parameters is illustrated graphically, and numerical values of skin friction, Nusselt number, and Sherwood number are reported. The results indicate that increasing Hall and Soret parameters enhances fluid velocity due to intensified thermal and solutal buoyancy forces, whereas higher chemical reaction rates reduce concentration levels within the boundary layer. Skin friction decreases with increasing Prandtl number, Hall current, and solutal buoyancy, while it increases with rotation, chemical reaction, and mass diffusion effects.
本文对卡森流体在嵌入多孔介质的等温倾斜拉伸板上旋转时的非定常磁流体动力学传热传质进行了分析研究。霍尔电流,索雷特扩散,热辐射和化学反应的影响被纳入。卡森流体被认为是粘性的、不可压缩的、非牛顿的、导电的。利用微扰技术计算速度、温度和浓度分布,得到了解析解。用图形说明了控制参数的影响,并报道了表面摩擦、努塞尔数和舍伍德数的数值。结果表明,增大的Hall和Soret参数会增强热力和溶质浮力,从而提高流体速度,而增大的化学反应速率则会降低边界层内的浓度水平。表面摩擦力随普朗特数、霍尔电流和溶质浮力的增加而减小,而随旋转、化学反应和质量扩散效应而增大。
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引用次数: 0
Least squares as random walks: The general case of arbitrary spacing 最小二乘随机游走:任意间距的一般情况
IF 1.4 Q2 Physics and Astronomy Pub Date : 2026-02-01 Epub Date: 2026-02-16 DOI: 10.1016/j.physo.2026.100378
Daniel Kestner , Alexander Kostinski
Recently, we introduced the notion of a random walk based on a discrete sequence of data samples (data walk) and discovered a surprising link between ordinary least squares (OLS) fits to evenly sampled data and random walks. Here we generalize earlier results by showing that the slope of a linear fit to data which annuls the net area under a residual data walk equals that found by OLS for irregularly spaced data sequence. We also discover a deep connection with the orthogonality principle of estimation theory, leading to interpretation of suitably defined scalar products of data vectors as areas under data walks. The results are extended to weighted and generalized least squares (GLS). The new approach is illustrated on cosmic ray arrival time series.
最近,我们引入了基于离散数据样本序列(数据漫步)的随机漫步的概念,并发现了均匀采样数据的普通最小二乘(OLS)拟合与随机漫步之间的惊人联系。在这里,我们通过显示数据的线性拟合斜率来推广早期的结果,该斜率使残差数据行走下的净面积作废,等于OLS对不规则间隔数据序列发现的斜率。我们还发现了与估计理论的正交性原理的深层联系,导致将数据向量的适当定义的标量积解释为数据遍历下的面积。将结果推广到加权和广义最小二乘(GLS)。用宇宙射线到达时间序列说明了这种新方法。
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引用次数: 0
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