V2EX variable node

Variable Node

Definition / 定义

variable node变量节点。在图模型(尤其是因子图 factor graph、部分贝叶斯网络的表示中)指代一个表示“随机变量/未知量”的节点,通常与表示约束或函数的因子节点(factor node)相连,用于推断与消息传递(如 sum-product / belief propagation)。

Pronunciation / 发音

/verib()l nod/

Examples / 例句

The variable node represents the unknown value.
变量节点表示未知的数值。

In a factor graph, each variable node connects to factor nodes that encode constraints, enabling efficient message passing for inference.
在因子图中,每个变量节点都连接到编码约束的因子节点,从而支持高效的消息传递以进行推断。

Etymology / 词源

variable 来自拉丁语 variabilis(“可变化的”),经由法语进入英语,常用于表示“会变化的量/变量”。node 来自拉丁语 nodus(“结、节点”),在数学、计算机科学与网络图中引申为“图中的点”。合起来 variable node 就是“表示变量的节点”,属于图论与概率推断语境下的术语。

Related Words / 相关词

Literary Works / 文学与著作例

  • Kschischang, Frey & Loeliger, Factor Graphs and the Sum-Product Algorithm(IEEE Transactions on Information Theory):在因子图框架中讨论变量节点与因子节点的消息传递。
  • Daphne Koller & Nir Friedman, Probabilistic Graphical Models: Principles and Techniques:在概率图模型章节中使用变量节点等概念进行建模与推断说明。
  • David J. C. MacKay, Information Theory, Inference, and Learning Algorithms:介绍图模型与消息传递思想时涉及变量节点/变量结点的表述与用法。
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