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arXiv 2602.24079gr-qcastro-ph.HE
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偏心度的形状:利用小波散射变换快速分类偏心双星

The Shape of Eccentricity: Rapid Classification of Eccentric Binaries with the Wavelet Scattering Transform

University of Cambridge(剑桥大学);KU Leuven(荷语鲁汶大学);Cardiff University(卡迪夫大学)

Priscilla Canizares, Seppe J. Staelens, Isobel Romero-Shaw

AI总结:

利用小波散射变换快速识别引力波信号中的偏心性,提高双星并合检测效率。

摘要:

由LIGO-维格-凯拉拉(LVK)合作组报告的引力波(GW)探测结果迄今为止都与准圆形致密双星并合(CBCs)一致。然而,一小部分通过动态相互作用在密集恒星环境中或在孤立三体系统中被驱动合并的双星,在进入LVK探测器的敏感频率带时可能保留可测量的轨道偏心率。对LVK频段内偏心性的自信测量将为这种动态驱动的并合提供有力证据;然而,偏心引力波形模型计算成本高昂,当预期偏心信号稀少时,对所有探测信号进行生产级推断并非资源的有效利用。在检测与分析之间的一个中间步骤,即对信号评估是否存在偏心性,可以快速推荐哪些信号应进行完整的偏心推断。我们对大量合成波形在现实噪声中应用小波散射变换(WST),并使用简单的线性和浅层神经网络分类器评估其判别能力。我们发现,WST表示能够有效区分偏心和准圆形双星,并提供GW信号的紧凑多尺度表示。我们的方法在10%的误报率下达到约64%的检测准确率,AUC为0.844,平均精确度为0.876。我们还检查了我们的分类器区分偏心性与自旋诱导进动的能力,并发现其在不同自旋进动幅度范围内表现出稳健的性能。

英文摘要:

The gravitational-wave (GW) detections reported by the LIGO-Virgo-KAGRA (LVK) collaboration have so far been consistent with quasi-circular compact binary coalescences (CBCs). Nevertheless, a small fraction of binaries driven to merge through dynamical interactions in dense stellar environments or in field triples may retain measurable orbital eccentricity when entering the sensitive frequency band of LVK detectors. Confident measurement of eccentricity in the LVK band would provide strong evidence for such dynamically driven mergers; however, eccentric gravitational-waveform models are computationally expensive, and performing production-level inference on all detected signals is not an efficient use of resources when eccentric signals are expected to be rare. An intermediate step between detection and analysis, in which the signal is assessed for the potential presence of eccentricity, could provide quick recommendations for which signals should undergo full eccentric inference. We apply the wavelet scattering transform (WST) to a large set of synthetic waveforms in realistic noise and assess its discriminatory power using simple linear and shallow neural-network classifiers. We find that the WST representation enables effective discrimination between eccentric and quasi-circular binaries and provides a compact multi-scale representation of GW signals. Our approach achieves ~64% percent detection accuracy at a false alarm rate of 10%, with an AUC of 0.844 and an average precision of 0.876. We also examine the ability of our classifiers to distinguish eccentricity from spin-induced precession and find robust performance across a range of spin-precession magnitudes.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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