V2EX hierarchical model

Hierarchical Model

Definition / 定义

hierarchical model层级模型/分层模型。一种把系统或数据按“上层下层(总体子群/类别个体)”组织起来的模型框架,用来表达不同层级之间的依赖关系与信息共享(常见于统计学、机器学习、认知科学与组织结构分析等)。在统计语境中也常指分层(多层)统计模型,用于对不同组别的参数进行“部分汇聚”(partial pooling)。

Pronunciation / 发音

/harrkkl mdl/

Examples / 例句

A hierarchical model groups similar data together.
层级模型会把相似的数据归到同一组中。

Using a hierarchical model, the researchers estimated both overall trends and differences across schools while sharing information between groups.
研究者使用层级模型,同时估计总体趋势与各学校之间的差异,并让不同组别之间共享信息。

Etymology / 词源

hierarchical 来自希腊语词根 *hier-*(“神圣的”)与 *-arch-*(“统治/首领”),原意与“神职等级体系”相关,后来泛化为“按等级/层级组织的”。model 来自拉丁语 modulus(“尺度、标准”)。合在一起,hierarchical model 就是“用层级结构来描述或解释事物的模型”。

Related Words / 相关词

Literary Works / 文学作品

  • Bayesian Data Analysis(Gelman 等):系统讲解 hierarchical models 在贝叶斯统计中的核心地位与建模方式。
  • Data Analysis Using Regression and Multilevel/Hierarchical Models(Gelman & Hill):以应用为导向介绍多层/层级模型。
  • Pattern Recognition and Machine Learning(Christopher M. Bishop):在概率图模型与贝叶斯方法中涉及层级建模思想。
  • The Elements of Statistical Learning(Hastie, Tibshirani, Friedman):讨论与分层结构相关的建模与正则化思想(在相关章节中出现该术语/概念)。
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