V2EX hierarchical-model

Hierarchical Model

释义 Definition

分层模型 / 层级模型:一种把数据或参数按“层级结构”组织起来的统计/机器学习模型,用来刻画嵌套关系(如学生→班级→学校、重复测量→个体→群体)。常见于多层次建模贝叶斯建模中,可在不同层级之间进行信息共享(常称“部分汇总”)。

发音 Pronunciation (IPA)

/harrkkl mdl/

例句 Examples

A hierarchical model can analyze students nested within schools.
分层模型可以分析“学生嵌套在学校之内”的数据结构。

By using a hierarchical model, we allow each hospital to have its own effect while sharing information across hospitals to improve estimates for small samples.
通过分层模型,我们既允许每家医院有各自的效应,又能在医院之间共享信息,从而在小样本情况下改进估计。

词源 Etymology

hierarchical 源自希腊语 hierarkhia(“等级统序/层级体系”),由表示“神圣的”与“统治/秩序”的词根组合而来,后来泛指“按层级排列”。model 源自拉丁语 modulus(“尺度、样式、规范”),引申为“用来描述或模拟现实的结构”。合起来即“按层级结构建立的模型”。

相关词 Related Words

文学与经典著作 Literary Works

  • Data Analysis Using Regression and Multilevel/Hierarchical Models(Gelman & Hill)
  • Bayesian Data Analysis(Gelman, Carlin, Stern, Dunson, Vehtari, Rubin)
  • Statistical Rethinking(Richard McElreath)
  • Pattern Recognition and Machine Learning(Christopher M. Bishop)
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