论文标题

从高斯过程回归中具有不确定性估计的非线性微量钙化器的能量校准

Energy calibration of nonlinear microcalorimeters with uncertainty estimates from Gaussian process regression

论文作者

Fowler, J. W., Alpert, B. K., O'Neil, G. C., Swetz, D. S., Ullom, J. N.

论文摘要

低温微钙化器的非线性能量反应通常通过经验校准校正。已知形状和能量锚定的平滑函数的X射线或伽马射线发射线概括了校准数据并将检测器测量转换为能量。我们认为该功能应该是一个近似样条。高斯过程回归的理论为这种功能形式提供了理由。它还提供了以前从我们的校准方法中没有的重要好处:校准能量的定量不确定性估计值,其不确定性接近最佳约束的校准点。

The nonlinear energy response of cryogenic microcalorimeters is usually corrected through an empirical calibration. X-ray or gamma-ray emission lines of known shape and energy anchor a smooth function that generalizes the calibration data and converts detector measurements to energies. We argue that this function should be an approximating spline. The theory of Gaussian process regression makes a case for this functional form. It also provides an important benefit previously absent from our calibration method: a quantitative uncertainty estimate for the calibrated energies, with lower uncertainty near the best-constrained calibration points.

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