标题： 基于核的数据展开，这些数据来自具有有限分辨率和有限接受度的探测器 显示英文标题

标题： Kernel based unfolding of data obtained from detectors with finite resolution and limited acceptance

摘要： 基于核的方法用于校正由于有限分辨率和有限探测器接受度导致的实验数据失真。 已知反卷积问题是一个病态问题，无法在没有关于解的先验信息的情况下求解，例如解的平滑性或非负性。 在此方法中，通过核的加权和估计真实分布，核的宽度作为正则化参数，负责结果的平滑性。 交叉验证用于确定该参数的最佳值。 通过一个包含系统误差和统计误差模拟研究的数值示例来说明该方法。 显示英文摘要

摘要： A kernel based procedure for correcting experimental data for distortions due to the finite resolution and limited detector acceptance is presented. The unfolding problem is known to be an ill-posed problem that can not be solved without some a priori information about solution such as, for example, smoothness or positivity. In the approach presented here the true distribution is estimated by a weighted sum of kernels, with the width of the kernels acting as a regularization parameter responsible for the smoothness of the result. Cross-validation is used to determine an optimal value for this parameter. A numerical example with a simulation study of systematical and statistical errors is presented to illustrate the procedure.