用Python和Pytorch使用softmax和cross-entropy

发布时间 2023-03-24 17:58:59作者: 一泓喜悲vv

softmax激活函数

softmax激活函数将包含K个元素的向量转换到(0,1)之间,并且和为1,因此它们可以用来表示概率。

 

 

 python:

def softmax(x):
    return np.exp(x) / np.sum(np.exp(x), axis=0)
x=np.array([0.1, 0.9, 4.0])
 
output=softmax(x)
 
print('Softmax in Python :',output)
 
#Softmax in Python : [0.04672966 0.10399876 0.84927158]

pytorch

x=torch.tensor(x)
output=torch.softmax(x,dim=0)
print(output)
 
#tensor([0.0467, 0.1040, 0.8493], dtype=torch.float64)

cross-entropy

交叉熵是常用损失,用来衡量两个分布的不同。通常以真实分布和预测分布作为输入。

 

 

#Cross Entropy Loss
 
def cross_entropy(y,y_pre):
  loss=-np.sum(y*np.log(y_pre))
  return loss/float(y_pre.shape[0])
y=np.array([0,0,1]) #class #2
 
y_pre_good=np.array([0.1,0.1,0.8])
y_pre_bed=np.array([0.8,0.1,0.1])
 
l1=cross_entropy(y,y_pre_good)
l2=cross_entropy(y,y_pre_bed)
 
print('Loss 1:',l1)
print('Loss 2:',l2)
 
Loss 1: 0.07438118377140324
Loss 2: 0.7675283643313485
loss =nn.CrossEntropyLoss()

y=torch.tensor([2])
 
y_pre_good=torch.tensor([[1.0,1.1,2.5]])
y_pre_bed=torch.tensor([[3.2,0.2,0.9]])
 
 
l1=loss(y_pre_good,y)
l2=loss(y_pre_bed,y)
 
print(l1.item()) #0.3850
print(l2.item()) #2.4398

 

参考链接:https://androidkt.com/implement-softmax-and-cross-entropy-in-python-and-pytorch/