论文标题
使用通用的傅立叶插值分析散射的高维数据
Analysis of scattered higher dimensional data using generalized Fourier interpolation
论文作者
论文摘要
提出了一种基于平方根概率密度的正交函数序列插值的方法，以分析更高的散射数据。当模型和/或数据仅作为离散事件可用时，该方法是针对用例的。虽然快速有效的算法以伪谱（基于网格节点）的方法而闻名，但该工作集中于光谱（非网格）方法。典型的应用是从高能粒子碰撞中检测到的物理模型参数提取。提供了几个示例，并将性能与现有的常规程序进行了比较。在某些情况下，该方法可以证明是可观察到的数据的最佳作用，以接近cramer-rao绑定的能力为例。
A method based on orthogonal function series interpolation of the square root probability density to analyze higher dimensional scattered data is presented. The method is targeted for the use-case when the model and/or data are available only as discrete events. While fast and efficient algorithms are well known for pseudo-spectral (grid node based) methods, this work focuses on a spectral (non grid based) approach. A typical application is the extraction of physics model parameters from events detected in high energy particle collisions. Several examples are provided and the performance is compared to existing conventional procedures. In some cases the method can be shown to behave as an optimal observable of the data, exemplified by the ability to approach the Cramer-Rao bound.
