GNN 教程：Weisfeiler-Leman 算法 - ArchWalker

[archwalker]

GNN 教程：Weisfeiler-Leman 算法 - ArchWalker

[hotchilipowder]

Hello, it looks like that step1 is not right if I understand it correctly.
In step1, for the node 4, it gets (1, 14) not (1, 4).

[archwalker]

@h12345jack
Hello, it looks like that step1 is not right if I understand it correctly.
In step1, for the node 4, it gets (1, 14) not (1, 4).

node index after comma are all neighbor nodes' indices, thus 1 is excluded.

[hotchilipowder]

@archwalker

@h12345jack
Hello, it looks like that step1 is not right if I understand it correctly.
In step1, for the node 4, it gets (1, 14) not (1, 4).

node index after comma are all neighbor nodes' indices, thus 1 is excluded.

I am sorry, I mean if some nodes are not labeled correctly.

[archwalker]

@h12345jack

@archwalker

@h12345jack
Hello, it looks like that step1 is not right if I understand it correctly.
In step1, for the node 4, it gets (1, 14) not (1, 4).

node index after comma are all neighbor nodes' indices, thus 1 is excluded.

I am sorry, I mean if some nodes are not labeled correctly.

you are right, I have fix the problem, thanks

[liangchen1ceeee]

请问为什么后话部分说“单层感知机不是单射函数”呀？单层感知机由矩阵乘法、激活函数组成，矩阵乘法是单调函数，激活函数如果也是单调的（比如tanh、sigmoid），那么由于单调函数一定是单射函数，单层感知机就是单设函数啊？

[archwalker]

@liangchen1ceeee
请问为什么后话部分说“单层感知机不是单射函数”呀？单层感知机由矩阵乘法、激活函数组成，矩阵乘法是单调函数，激活函数如果也是单调的（比如tanh、sigmoid），那么由于单调函数一定是单射函数，单层感知机就是单设函数啊？

您好，矩阵乘法不一定是单射的，矩阵乘法单射的充要条件是矩阵为列满秩矩阵。