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Modified homotopy perturbation technique for solving third-order nonlinear Lane–Emden equations 求解三阶非线性Lane-Emden方程的修正同伦摄动技术
IF 1.8 4区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2025-12-02 DOI: 10.1016/j.ascom.2025.101039
Vikash Kumar Sinha
This article proposes a numerical algorithm based on the homotopy perturbation technique to find the approximate solution of third-order nonlinear Lane–Emden equations arise in several scientific applications. We include the Adomian polynomials to handle the nonlinear terms. The third-order nonlinear Lane–Emden equations are characterized by two different models: the first model with twice shape factor and the second model with once shape factor. Both models have a multi-singularity at the origin. The proposed method deals with both models and yields highly accurate and reliable results. Three problems of first-kind and three problems of second- kind with different shape factors are included to examine the accuracy and applicability of the proposed algorithm. We compare the outcomes with the exact solution and the existing method. The CPU time for the proposed method across all problems has also been provided, indicating its computational efficiency. This method is capable of solving highly nonlinear problems in few iterations with high accuracy.
本文提出了一种基于同伦摄动技术的求三阶非线性Lane-Emden方程近似解的数值算法。我们使用Adomian多项式来处理非线性项。三阶非线性Lane-Emden方程具有两种不同的模型:第一种具有两次形状因子的模型和第二种具有一次形状因子的模型。两种模型在原点处都有一个多奇点。所提出的方法处理了两种模型,得到了高度准确和可靠的结果。通过对具有不同形状因子的第一类问题和第二类问题进行分析,验证了该算法的准确性和适用性。我们将结果与精确解和现有方法进行了比较。给出了该方法在所有问题上的CPU时间,表明了其计算效率。该方法能够在少量迭代中求解高度非线性问题,且精度高。
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引用次数: 0
FAST-MEPSA: An optimised and faster version of peak detection algorithm MEPSA 快速-MEPSA:峰值检测算法MEPSA的优化和更快版本
IF 1.8 4区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2025-12-02 DOI: 10.1016/j.ascom.2025.101040
M. Maistrello , R. Maccary , C. Guidorzi
We present FAST-MEPSA, an optimised version of the MEPSA algorithm developed to detect peaks in uniformly sampled time series affected by uncorrelated Gaussian noise. Although originally conceived for the analysis of gamma-ray burst (GRB) light curves (LCs), MEPSA can be readily applied to other transient phenomena. The algorithm scans the input data by applying a set of 39 predefined patterns across multiple timescales. While robust and effective, its computational cost becomes significant at large re-binning factors. To address this, FAST-MEPSA introduces a sparser offset-scanning strategy. In parallel, building on MEPSA’s flexibility, we introduce a 40th pattern specifically designed to recover a class of elusive peaks that are typically sub-threshold and lie on the rising edge of broader structures—often missed by the original pattern set. Both versions of FAST-MEPSA — with 39 and 40 patterns — were validated on simulated GRB LCs. Compared to MEPSA, the new implementation achieves a speed-up of nearly a factor 400 at high re-binning factors, with only a minor (4%) reduction in the number of detected peaks. It retains the same detection efficiency while significantly lowering the false positive rate of low significance. The inclusion of the new pattern increases the recovery of previously undetected and sub-threshold peaks. These improvements make FAST-MEPSA an effective tool for large-scale analyses where a robust trade-off between speed, efficiency, and reliability is essential. The adoption of 40 patterns instead of the classical 39 is advisable when an enhanced efficiency in detecting faint events is desired. The code is made publicly available.
我们提出了FAST-MEPSA,这是MEPSA算法的优化版本,用于检测受不相关高斯噪声影响的均匀采样时间序列中的峰值。虽然MEPSA最初是为分析伽马射线暴(GRB)光曲线(lc)而设想的,但它可以很容易地应用于其他瞬态现象。该算法通过跨多个时间尺度应用一组39个预定义模式来扫描输入数据。虽然它的鲁棒性和有效性,但在大的重新分类因素下,计算成本变得显著。为了解决这个问题,FAST-MEPSA引入了一种稀疏偏移扫描策略。同时,基于MEPSA的灵活性,我们引入了第40种模式,专门用于恢复一类难以捉摸的峰值,这些峰值通常位于阈值以下,位于较宽结构的上升边缘,通常被原始模式集遗漏。两个版本的FAST-MEPSA - 39和40模式-在模拟的GRB lc上进行了验证。与MEPSA相比,新实现在高重集因子下实现了近400倍的加速,而检测到的峰值数量仅减少了少量(约4%)。在保持检测效率不变的同时,显著降低了低显著性的假阳性率。新模式的包含增加了以前未检测到的和亚阈值峰值的恢复。这些改进使FAST-MEPSA成为大规模分析的有效工具,在这些分析中,速度、效率和可靠性之间的强大权衡至关重要。当需要提高检测微弱事件的效率时,建议采用40种模式而不是经典的39种模式。代码是公开的。
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引用次数: 0
gCAMB: A GPU-accelerated Boltzmann solver for next-generation cosmological surveys gCAMB:用于下一代宇宙学调查的gpu加速玻尔兹曼解算器
IF 1.8 4区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2025-11-29 DOI: 10.1016/j.ascom.2025.101038
Loriano Storchi , Paolo Campeti , Massimiliano Lattanzi , Nicoló Antonini , Enrico Calore , Pasquale Lubrano
Inferring cosmological parameters from Cosmic Microwave Background (CMB) data requires repeated and computationally expensive calculations of theoretical angular power spectra using Boltzmann solvers like CAMB. This creates a significant bottleneck, particularly for non-standard cosmological models and the high-accuracy demands of future surveys. While emulators based on deep neural networks can accelerate this process by several orders of magnitude, they first require large, pre-computed training datasets, which are costly to generate and model-specific. To address this challenge, we introduce gCAMB, a version of the CAMB code ported to GPUs, which preserves all the features of the original CPU-only code. By offloading the most computationally intensive modules to the GPU, gCAMB significantly accelerates the generation of power spectra, saving massive computational time, halving the power consumption in high-accuracy settings and, among other purposes, facilitating the creation of extensive training sets needed for robust cosmological analyses. We make the gCAMB
software available to the community.
从宇宙微波背景(CMB)数据推断宇宙参数需要使用Boltzmann解算器(如CAMB)对理论角功率谱进行重复且计算成本高昂的计算,这对非标准宇宙模型和未来调查的高精度要求造成了重大瓶颈。虽然基于深度神经网络的模拟器可以将这一过程加快几个数量级,但它们首先需要大型的、预先计算的训练数据集,这些数据集的生成成本很高,而且是特定于模型的。为了解决这个问题,我们引入了gCAMB,这是一个移植到gpu上的CAMB代码版本,它保留了原始仅cpu代码的所有功能。通过将计算最密集的模块卸载到GPU, gCAMB显着加速了功率谱的生成,节省了大量的计算时间,在高精度设置中将功耗减半,并且除其他目的外,促进了创建强大的宇宙学分析所需的广泛训练集。我们向社区提供gCAMB软件。
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引用次数: 0
Application of Artificial Intelligence techniques to tracking systems in space experiments 人工智能技术在空间实验跟踪系统中的应用
IF 1.8 4区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2025-11-28 DOI: 10.1016/j.ascom.2025.101037
Federica Cuna , Maria Bossa , Fabio Gargano , Mario Nicola Mazziotta
The application of advanced Artificial Intelligence (AI) techniques in astroparticle experiments represents a major advancement in both data analysis and experimental design. As space missions become increasingly complex, integrating AI tools is essential for optimizing system performance and maximizing scientific return. This study explores the use of Graph Neural Networks (GNNs) within the tracking systems of space-based experiments. A key challenge in track reconstruction is the high level of noise, primarily due to backscattering tracks, which can obscure the identification of primary particle trajectories. We propose a novel GNN-based approach for node-level classification tasks, specifically designed to distinguish primary tracks from backscattered ones within the tracker. In this framework, AI is employed as a powerful tool for pattern recognition, enabling the system to identify meaningful structures within complex tracking data and to discriminate signal from backscattering with higher precision. By addressing these challenges, our work aims to enhance the accuracy and reliability of data interpretation in astroparticle physics through the deployment of state-of-the-art AI methodologies.
先进的人工智能技术在天体粒子实验中的应用代表了数据分析和实验设计的重大进步。随着太空任务变得越来越复杂,集成人工智能工具对于优化系统性能和最大化科学回报至关重要。本研究探讨了图神经网络(gnn)在天基实验跟踪系统中的应用。轨迹重建的一个关键挑战是高水平的噪声,主要是由于后向散射轨迹,这可能会模糊主要粒子轨迹的识别。我们提出了一种新颖的基于gnn的节点级分类任务方法,专门用于区分跟踪器中的主航迹和反向散射航迹。在该框架中,AI被用作模式识别的强大工具,使系统能够在复杂的跟踪数据中识别有意义的结构,并以更高的精度区分信号与后向散射。通过解决这些挑战,我们的工作旨在通过部署最先进的人工智能方法来提高天体粒子物理学中数据解释的准确性和可靠性。
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引用次数: 0
Tracing correlations between galaxy properties across the Cosmic Web: An IllustrisTNG-based study 通过宇宙网追踪星系属性之间的相关性:一项基于illustristng的研究
IF 1.8 4区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2025-11-21 DOI: 10.1016/j.ascom.2025.101023
Anindita Nandi , Biswajit Pandey , Prakash Sarkar
We explore the impact of cosmic web environments on galaxy properties such as (ur) colour, stellar mass, star formation rate, and stellar metallicity, using a stellar mass-matched sample of simulated galaxies from the Illustris TNG simulation. We use Normalized Mutual Information (NMI) to quantify correlations among galaxy properties and apply Student’s t-test to assess the statistical significance of their differences across cosmic web environments. In every case, the null hypothesis is rejected at >99.99% confidence, providing strong evidence that correlations among galaxy properties are strongly dependent on cosmic web environments.
我们利用来自Illustris TNG模拟的恒星质量匹配的模拟星系样本,探索了宇宙网络环境对星系属性(如(u−r)颜色、恒星质量、恒星形成率和恒星金属丰度)的影响。我们使用归一化互信息(NMI)来量化星系属性之间的相关性,并应用学生t检验来评估它们在宇宙网络环境中差异的统计显著性。在每种情况下,原假设都以99.99%的置信度被拒绝,这提供了强有力的证据,证明星系特性之间的相关性强烈依赖于宇宙网络环境。
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引用次数: 0
High-order wavelet-based numerical algorithms for nonlinear singular Lane–Emden–Fowler equations: Applications to physical models in astrophysics 非线性奇异Lane-Emden-Fowler方程的高阶小波数值算法:在天体物理学物理模型中的应用
IF 1.8 4区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2025-11-19 DOI: 10.1016/j.ascom.2025.101021
Muhammad Ahsan , Shadab Rehman , Masood Ahmad , Maher Alwuthaynani , Ayesha Ayub
This research paper aims to present reliable numerical techniques to deal with singular differential equations, specifically the Lane–Emden equation. The challenges that arise from the singularity at point t=0 often leads to the difficulties in common schemes like the Euler and Runge–Kutta methods. To handle this, we implement the Haar wavelet collocation method (HWCM) and its advanced version, the higher-order Haar wavelet collocation method (HOHWCM). These methods are capable of effectively managing singularities and producing approximate solutions for Lane–Emden equations under a range of standard initial conditions, two point Robin conditions, two point mixed conditions, and two point integral conditions. The study incorporates both linear and nonlinear Lane–Emden equations. In nonlinear case, first the linearization technique based on Taylor series expansion is applied to the nonlinear Lane–Emden equation and then the linearized Lane–Emden equation has been solved iteratively with the help of Haar functions. The developed methods are simple to use and are computationally efficient. Results of numerical simulations reveal strong consistency between the numerical and exact results. Incorporating HOHWCM further increases solution accuracy without significantly escalating computational effort, making the method a valuable choice for tackling nonlinear boundary problems. An analysis covering convergence is conducted to support the fast approaching the numerical results towards the exact solutions (here HWCM convergence is of second order while HOHWCM is of (2+2μ)th order). These results are verified by implementing on different benchmark cases of Lane–Emden equations.
本研究论文旨在提出可靠的数值技术来处理奇异微分方程,特别是Lane-Emden方程。由于t=0点的奇点所带来的挑战,通常会导致欧拉和龙格-库塔方法等常用方案的困难。为了解决这个问题,我们实现了Haar小波配置方法(HWCM)及其高级版本——高阶Haar小波配置方法(HOHWCM)。这些方法能够在一系列标准初始条件、两点Robin条件、两点混合条件和两点积分条件下有效地管理Lane-Emden方程的奇异性并产生近似解。该研究结合了线性和非线性Lane-Emden方程。在非线性情况下,首先将基于泰勒级数展开的线性化技术应用于非线性Lane-Emden方程,然后利用Haar函数迭代求解线性化后的Lane-Emden方程。所开发的方法使用简单,计算效率高。数值模拟结果表明,数值结果与实际结果具有较强的一致性。结合HOHWCM进一步提高了求解精度,而不会显著增加计算工作量,使该方法成为解决非线性边界问题的有价值的选择。为了支持快速逼近精确解的数值结果(其中HWCM为二阶收敛,HOHWCM为(2+2)μ)阶收敛),对收敛性进行了分析。通过在Lane-Emden方程的不同基准情况下的实现,验证了这些结果。
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引用次数: 0
Binary black hole parameter estimation with hybrid CNN-Transformer Neural Networks 基于CNN-Transformer混合神经网络的双黑洞参数估计
IF 1.8 4区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2025-11-19 DOI: 10.1016/j.ascom.2025.101027
Panagiotis N. Sakellariou , Spiros V. Georgakopoulos , Sotiris Tasoulis , Vassilis P. Plagianakos
The detection of gravitational waves has revolutionized our ability to explore fundamental aspects of the Universe. Traditionally, modeled gravitational-wave signals have been identified using template-based matched filtering, followed by coincidence analysis across multiple detectors in the signal-to-noise ratio time series. Recent advances in Machine Learning and Deep Learning have sparked growing interest in their application to both signal detection and parameter estimation. In this study, a hybrid Deep Learning strategy is proposed that leverages the effectiveness of Transformer encoders alongside well-established Convolutional Neural Network architectures in an attempt to estimate the intrinsic and extrinsic parameters of non-precessing binary black hole systems. The primary focus of this work is point estimation, producing single best-fit values for each parameter rather than full posterior distributions. This method is evaluated on both simulated signals embedded in Gaussian noise and real gravitational-wave events, and it demonstrates strong predictive performance and robustness across key astrophysical parameters.
引力波的探测彻底改变了我们探索宇宙基本方面的能力。传统上,建模引力波信号是通过基于模板的匹配滤波来识别的,然后在信噪比时间序列中对多个探测器进行符合性分析。机器学习和深度学习的最新进展引发了人们对它们在信号检测和参数估计方面应用的兴趣。在本研究中,提出了一种混合深度学习策略,该策略利用变压器编码器的有效性以及完善的卷积神经网络架构,试图估计非处理二进制黑洞系统的内在和外在参数。这项工作的主要焦点是点估计,为每个参数产生单一的最佳拟合值,而不是完整的后验分布。该方法对高斯噪声和真实引力波事件中的模拟信号进行了评估,结果表明,该方法对关键天体物理参数具有较强的预测性能和鲁棒性。
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引用次数: 0
Stellar spectral classification using convolutional neural networks on objective prism plates 利用卷积神经网络在物镜板上进行恒星光谱分类
IF 1.8 4区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2025-11-18 DOI: 10.1016/j.ascom.2025.101024
Seungwan Han , Wonseok Kang , Jae-Hun Jung
Stellar classification based on the Morgan–Keenan (MK) system has long been a fundamental task in astronomy. Numerous studies have attempted to automate this process using machine learning (ML) applied to spectra from digital archives. However, these archives require wavelength calibration — a complex and time-consuming procedure — and spectral type determination relies on expert knowledge. As a result, the available dataset remains limited, containing no more than 1,500 reliably classified spectra for use in independent classification studies. To address this limitation, we constructed a large-scale dataset using stars previously classified in Nancy Houk’s catalog, which provides the coordinates and spectral types of stars observed on objective prism plates. Based on this information, we developed an algorithm to extract stellar spectra from the plates and associate them with the corresponding spectral types listed in the catalog. From a total of 1,064 plates, we obtained 91,050 stellar images and successfully extracted 70,360 usable spectra. For classification, we employed a convolutional neural network (CNN) and introduced a Gaussian encoding method, which better captures the continuous nature of spectral subclasses than conventional one-hot encoding. Our CNN model achieved an accuracy of 41.5% in classifying 49 spectral subclasses, slightly outperforming previous state-of-the-art models that reported 41.2%.
长期以来,基于Morgan-Keenan (MK)系统的恒星分类一直是天文学的一项基本任务。许多研究都试图使用机器学习(ML)将这一过程自动化,并将其应用于数字档案中的光谱。然而,这些档案需要波长校准,这是一个复杂而耗时的过程,光谱类型的确定依赖于专家知识。因此,可用的数据集仍然有限,包含不超过1500个可靠分类光谱用于独立分类研究。为了解决这一限制,我们构建了一个大型数据集,使用Nancy Houk的星表中先前分类的恒星,该星表提供了在物镜板上观测到的恒星的坐标和光谱类型。基于这些信息,我们开发了一种算法,从底片中提取恒星光谱,并将它们与目录中列出的相应光谱类型相关联。从总共1,064张底片中,我们获得了91,050张恒星图像,并成功提取了70,360张可用光谱。对于分类,我们采用卷积神经网络(CNN)并引入高斯编码方法,该方法比传统的单热编码更能捕捉光谱子类的连续性。我们的CNN模型在对49个光谱子类进行分类时达到了41.5%的准确率,略优于之前最先进的模型(41.2%)。
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引用次数: 0
Implementation of secular resonance support in the open-source python package “resonances” 在开源python包“resonances”中实现长期共振支持
IF 1.8 4区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2025-11-12 DOI: 10.1016/j.ascom.2025.101022
Evgeny A. Smirnov
This paper presents a major enhancement to the resonances Python package that now implements full support for identifying and analyzing secular resonances. Building upon the established mean-motion resonance framework, the implementation introduces: (1) a flexible mathematical expression parser supporting arbitrary combinations of fundamental frequencies (g, s, gi, si), enabling analysis of both linear resonances (ν5, ν6, ν16) and more than 70 nonlinear resonances from the literature; (2) specialized libration detection algorithms optimized for secular timescales, with automated parameter adaptation for extended integration times; (3) integration with existing mean-motion resonance workflows through consistent interfaces, allowing unified dynamical studies. The package has been tested through automated unit and integration tests and manual validation against examples from the literature, with all test cases—including ν6, ν16, z1, z2, 2ν6ν5, and 3ν62ν5 resonances passed successfully (with minor exceptions). The new version maintains the simplicity of the original interface, requiring only 3–4 lines of code for standard analyses, while providing researchers with powerful tools for systematic dynamical analysis and asteroid family studies. The package is available on GitHub under the MIT license.
本文介绍了对共振Python包的主要增强,现在实现了对识别和分析长期共振的完全支持。在建立平均运动共振框架的基础上,实现引入:(1)一个灵活的数学表达式解析器,支持基频(g, s, gi, si)的任意组合,能够分析线性共振(ν5, ν6, ν16)和来自文献的70多种非线性共振;(2)针对长期时间尺度优化的专用振动检测算法,该算法具有扩展积分时间的自动参数自适应;(3)通过一致的接口与现有的平均运动共振工作流集成,实现统一的动力学研究。该软件包已经通过自动化单元和集成测试以及针对文献中的示例的手动验证进行了测试,所有的测试用例——包括ν6、ν16、z1、z2、ν6−ν5和ν6−ν5的共振都成功通过了(有轻微的例外)。新版本保持了原始界面的简单性,只需要3-4行代码进行标准分析,同时为研究人员提供了系统动力学分析和小行星家族研究的强大工具。该软件包可在GitHub上获得MIT许可。
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引用次数: 0
Nature-inspired optimization, the Philippine Eagle, and cosmological parameter estimation 自然启发的优化,菲律宾鹰,和宇宙学参数估计
IF 1.8 4区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2025-11-12 DOI: 10.1016/j.ascom.2025.101026
Reginald Christian Bernardo , Erika Antonette Enriquez , Renier Mendoza , Reinabelle Reyes , Arrianne Crystal Velasco
Precise and accurate estimation of cosmological parameters is crucial for understanding the Universe’s dynamics and addressing cosmological tensions. In this methods paper, we explore bio-inspired metaheuristic algorithms, including the Improved Multi-Operator Differential Evolution scheme and the Philippine Eagle Optimization Algorithm (PEOA), alongside the relatively known genetic algorithm, for cosmological parameter estimation. Using mock data that underlay a true fiducial cosmology, we test the viability of each optimization method to recover the input cosmological parameters with confidence regions generated by bootstrapping on top of optimization. We compare the results with Markov chain Monte Carlo (MCMC) in terms of accuracy and precision, and show that PEOA performs comparably well under the specific circumstances provided. Understandably, Bayesian inference and optimization serve distinct purposes, but comparing them highlights the potential of nature-inspired algorithms in cosmological analysis, offering alternative pathways to explore parameter spaces and validate standard results.
对宇宙学参数的精确估计对于理解宇宙动力学和解决宇宙张力至关重要。在本文中,我们探索了生物启发的元启发式算法,包括改进的多算子差分进化方案和菲律宾鹰优化算法(PEOA),以及相对已知的遗传算法,用于宇宙学参数估计。使用真实基准宇宙学的模拟数据,我们测试了每种优化方法的可行性,以恢复输入宇宙学参数,并在优化之上通过自举生成置信区域。我们将结果与马尔可夫链蒙特卡罗(MCMC)在准确度和精度方面进行了比较,并表明在提供的特定情况下,PEOA表现相当好。可以理解的是,贝叶斯推理和优化服务于不同的目的,但比较它们突出了自然启发算法在宇宙学分析中的潜力,提供了探索参数空间和验证标准结果的替代途径。
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引用次数: 0
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Astronomy and Computing
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