Description

This module normalizes positive scalar edge weights on a graph following the form in GCN <https://arxiv.org/abs/1609.02907>
按照GCN论文里面提出的 normalize 方法对正向边处理。

The module returns the normalized weight e j i c j i \frac{e_{ji}} {c_{ji}} cji​eji​​

Fomula

根据不同的配置，给出上述两个变量的计算公式：

Mathematically, setting norm='both' yields the following normalization term:
具体的数学公式是：

  • norm=both
    c j i = ( ∑ k ∈ N ( j ) e j k ∑ k ∈ N ( i ) e k i ) c_{ji} = (\sqrt{\sum_{k\in\mathcal{N}(j)}e_{jk}}\sqrt{\sum_{k\in\mathcal{N}(i)}e_{ki}}) cji​=(k∈N(j)∑​ejk​ ​k∈N(i)∑​eki​ ​)

  • norm='right' yields the following normalization term:

c j i = ∑ k ∈ N ( i ) e k i c_{ji} = \sum_{k\in\mathcal{N}(i)}e_{ki} cji​=k∈N(i)∑​eki​

where e j i e_{ji} eji​ is the scalar weight on the edge from node j to node i.
e j i e_{ji} eji​ 是节点j到节点i的权重标量； N i N_i Ni​代表的就是节点i的邻居