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Deep ensemble analysis for Imaging X-ray Polarimetry
Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment ( IF 1.4 ) Pub Date : 2020-10-13 , DOI: 10.1016/j.nima.2020.164740
A.L. Peirson , R.W. Romani , H.L. Marshall , J.F. Steiner , L. Baldini

We present a method for enhancing the sensitivity of X-ray telescopic observations with imaging polarimeters, with a focus on the gas pixel detectors (GPDs) to be flown on the Imaging X-ray Polarimetry Explorer (IXPE). Our analysis determines photoelectron directions, X-ray absorption points and X-ray energies for 1-9 keV event tracks, with estimates for both the statistical and model (reconstruction) uncertainties. We use a weighted maximum likelihood combination of predictions from a deep ensemble of ResNet convolutional neural networks, trained on Monte Carlo event simulations. We define a figure of merit to compare the polarization bias–variance trade-off in track reconstruction algorithms. For power-law source spectra, our method improves on the current planned IXPE analysis (and previous deep learning approaches), providing 45% increase in effective exposure times. For individual energies, our method produces 20%–30% absolute improvements in modulation factor for simulated 100% polarized events, while keeping residual systematic modulation within 1σ of the finite sample minimum. Absorption point location and photon energy estimates are also significantly improved. We have validated our method with sample data from real GPD detectors.



中文翻译:

成像X射线极化仪的深度集成分析

我们提出了一种通过成像旋光仪提高X射线望远镜观测灵敏度的方法,重点是要在成像X射线偏振仪资源管理器(IXPE)上飞行的气体像素探测器(GPD)。我们的分析确定了1-9 keV事件轨迹的光电子方向,X射线吸收点和X射线能量,并估计了统计和模型(重建)不确定性。我们使用ResNet卷积神经网络的深层集成(经过蒙特卡洛事件模拟训练)的预测的加权最大似然组合。我们定义了一个品质因数,以比较轨道重建算法中的极化偏差-方差折衷。对于幂律源谱,我们的方法改进了当前计划的IXPE分析(和以前的深度学习方法),提供了45有效曝光时间增加%。对于单个能量,我们的方法可对模拟的100%极化事件的调制因子产生20%–30%的绝对改善,同时将残留的系统调制保持在1个σ有限样本最小值。吸收点的位置和光子能量的估计也大大改善。我们已经使用来自实际GPD检测器的样本数据验证了我们的方法。

更新日期:2020-10-17
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