参考:
https://zhuanlan.zhihu.com/p/152198144
import torch
x = torch.randn(128, 20) # 输入的维度是(128,20)
m = torch.nn.Linear(20, 30) # 20,30是指维度
output = m(x)
print('m.weight.shape:\n ', m.weight.shape)
print('m.bias.shape:\n', m.bias.shape)
print('output.shape:\n', output.shape)
# ans = torch.mm(input,torch.t(m.weight))+m.bias 等价于下面的
ans = torch.mm(x, m.weight.t()) + m.bias
print('ans.shape:\n', ans.shape)
print(torch.equal(ans, output))
m.weight.shape:
torch.Size([30, 20])
m.bias.shape:
torch.Size([30])
output.shape:
torch.Size([128, 30])
ans.shape:
torch.Size([128, 30])
True
为什么 m.weight.shape = (30,20)?
答:因为线性变换的公式是:
先生成一个(30,20)的weight,实际运算中再转置,这样就能和x做矩阵乘法了