1. 定义
数学公式为 Loss = -w * [p * log(q) + (1-p) * log(1-q)] ,其中p、q分别为理论标签、实际预测值,w为权重。这里的log对应数学上的ln。
PyTorch对应函数为:
torch.nn.BCELoss(weight=None, size_average=None, reduce=None, reduction=‘mean’)
计算目标值和预测值之间的二进制交叉熵损失函数。
有四个可选参数:weight、size_average、reduce、reduction
- weight必须和target的shape一致,默认为none。定义BCELoss的时候指定即可。
- 默认情况下 nn.BCELoss(),reduce = True,size_average = True。
- 如果reduce为False,size_average不起作用,返回向量形式的loss。
- 如果reduce为True,size_average为True,返回loss的均值,即loss.mean()。
- 如果reduce为True,size_average为False,返回loss的和,即loss.sum()。
- 如果reduction = ‘none’,直接返回向量形式的 loss。
- 如果reduction = ‘sum’,返回loss之和。
- 如果reduction = ”elementwise_mean,返回loss的平均值。
- 如果reduction = ”mean,返回loss的平均值
2. 验证代码
1>
import torch import torch.nn as nn m = nn.Sigmoid() loss = nn.BCELoss(size_average=False, reduce=False) input = torch.randn(3, requires_grad=True) target = torch.empty(3).random_(2) lossinput = m(input) output = loss(lossinput, target) print("输入值:") print(lossinput) print("输出的目标值:") print(target) print("计算loss的结果:") print(output)
2>
import torch import torch.nn as nn m = nn.Sigmoid() loss = nn.BCELoss(size_average=True, reduce=False) input = torch.randn(3, requires_grad=True) target = torch.empty(3).random_(2) lossinput = m(input) output = loss(lossinput, target) print("输入值:") print(lossinput) print("输出的目标值:") print(target) print("计算loss的结果:") print(output)
3>
import torch import torch.nn as nn m = nn.Sigmoid() loss = nn.BCELoss(size_average=True, reduce=True) input = torch.randn(3, requires_grad=True) target = torch.empty(3).random_(2) lossinput = m(input) output = loss(lossinput, target) print("输入值:") print(lossinput) print("输出的目标值:") print(target) print("计算loss的结果:") print(output)
4>
import torch import torch.nn as nn m = nn.Sigmoid() loss = nn.BCELoss(size_average=False, reduce=True) input = torch.randn(3, requires_grad=True) target = torch.empty(3).random_(2) lossinput = m(input) output = loss(lossinput, target) print("输入值:") print(lossinput) print("输出的目标值:") print(target) print("计算loss的结果:") print(output)
5>
import torch import torch.nn as nn m = nn.Sigmoid() loss = nn.BCELoss(reduction = 'none') input = torch.randn(3, requires_grad=True) target = torch.empty(3).random_(2) lossinput = m(input) output = loss(lossinput, target) print("输入值:") print(lossinput) print("输出的目标值:") print(target) print("计算loss的结果:") print(output)
6>
import torch import torch.nn as nn m = nn.Sigmoid() weights=torch.randn(3) loss = nn.BCELoss(weight=weights,size_average=False, reduce=False) input = torch.randn(3, requires_grad=True) target = torch.empty(3).random_(2) lossinput = m(input) output = loss(lossinput, target) print("输入值:") print(lossinput) print("输出的目标值:") print(target) print("权重值") print(weights) print("计算loss的结果:") print(output)
2. 验证代码
1>
import torchimport torch.nn as nn
m = nn.Sigmoid()
loss = nn.BCELoss(size_average=False, reduce=False)input = torch.randn(3, requires_grad=True)target = torch.empty(3).random_(2)lossinput = m(input)output = loss(lossinput, target)
print(“输入值:”)print(lossinput)print(“输出的目标值:”)print(target)print(“计算loss的结果:”)print(output)1234567891011121314151617
2>
import torchimport torch.nn as nn
m = nn.Sigmoid()
loss = nn.BCELoss(size_average=True, reduce=False)input = torch.randn(3, requires_grad=True)target = torch.empty(3).random_(2)lossinput = m(input)output = loss(lossinput, target)
print(“输入值:”)print(lossinput)print(“输出的目标值:”)print(target)print(“计算loss的结果:”)print(output)1234567891011121314151617
3>
import torchimport torch.nn as nn
m = nn.Sigmoid()
loss = nn.BCELoss(size_average=True, reduce=True)input = torch.randn(3, requires_grad=True)target = torch.empty(3).random_(2)lossinput = m(input)output = loss(lossinput, target)
print(“输入值:”)print(lossinput)print(“输出的目标值:”)print(target)print(“计算loss的结果:”)print(output)1234567891011121314151617
4>
import torchimport torch.nn as nn
m = nn.Sigmoid()
loss = nn.BCELoss(size_average=False, reduce=True)input = torch.randn(3, requires_grad=True)target = torch.empty(3).random_(2)lossinput = m(input)output = loss(lossinput, target)
print(“输入值:”)print(lossinput)print(“输出的目标值:”)print(target)print(“计算loss的结果:”)print(output)1234567891011121314151617
5>
import torchimport torch.nn as nn
m = nn.Sigmoid()
loss = nn.BCELoss(reduction = ‘none’)input = torch.randn(3, requires_grad=True)target = torch.empty(3).random_(2)lossinput = m(input)output = loss(lossinput, target)
print(“输入值:”)print(lossinput)print(“输出的目标值:”)print(target)print(“计算loss的结果:”)print(output)1234567891011121314151617
6>
import torchimport torch.nn as nn
m = nn.Sigmoid()weights=torch.randn(3)
loss = nn.BCELoss(weight=weights,size_average=False, reduce=False)input = torch.randn(3, requires_grad=True)target = torch.empty(3).random_(2)lossinput = m(input)output = loss(lossinput, target)
print(“输入值:”)print(lossinput)print(“输出的目标值:”)print(target)print(“权重值”)print(weights)print(“计算loss的结果:”)print(output)1234567891011121314151617181920
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