论文标题
基于对称反射的越越 - 折叠络合物区域的一阶灵敏度指数的估计
Estimation of first-order sensitivity indices based on symmetric reflected Vietoris-Rips complexes areas
论文作者
论文摘要
在本文中，我们通过重建二维云点的嵌入歧管来估算模型中随机变量的一阶灵敏度指数。假定的模型具有P预测因子和连续的结果y。我们的方法通过为每个变量的越野河 - 河流复合物测量了歧管。使用此对象，并使用该区域及其对称反射，我们可以估计每个预测指标相关的索引。该索引揭示了数据点的几何特性。同样，鉴于所使用的方法，我们可以决定一对无关的随机变量在相互作用中是否具有某种结构模式。
In this paper we estimate the first-order sensitivity index of random variables within a model by reconstructing the embedding manifold of a two-dimensional cloud point. The model assumed has p predictors and a continuous outcome Y . Our method gauges the manifold through a Vietoris-Rips complex with a fixed radius for each variable. With this object, and using the area and its symmetric reflection, we can estimate an index of relevance for each predictor. The index reveals the geometric nature of the data points. Also, given the method used, we can decide whether a pair of non-correlated random variables have some structural pattern in their interaction.
