220315-PyTorch中target为浮点数float时的交叉熵loss计算

Pytorch默认的交叉熵函数使用loss=(pred=浮点数, target=整数)的形式

# Example of target with class indices
loss = nn.CrossEntropyLoss()
input = torch.randn(3, 5, requires_grad=True)
target = torch.empty(3, dtype=torch.long).random_(5)
output = loss(input, target)
output.backward()
# Example of target with class probabilities
input = torch.randn(3, 5, requires_grad=True)
target = torch.randn(3, 5).softmax(dim=1)
output = loss(input, target)
output.backward()

但是当target需要为负点数的时候，没法使用loss = nn.CrossEntropyLoss()直接计算， 此处修改损失函数

也可参考标签平滑损失 [3]

def cross_entropy(pred, soft_targets):
    logsoftmax = nn.LogSoftmax()
    return torch.mean(torch.sum(- soft_targets * logsoftmax(pred), 1))

Reference:

https://discuss.pytorch.org/t/how-should-i-implement-cross-entropy-loss-with-continuous-target-outputs/10720/18https://pytorch.org/docs/stable/generated/torch.nn.CrossEntropyLoss.htmlhttps://blog.csdn.net/weixin_39529413/article/details/123122330