前言
相信大家在进来后主要目的是学习如何涨点,那么在本文中我们将着重于实操,捎带讲解一些Label Smooth原理。
Label Smooth的提出是在yolov4中首次被提出,在训练神经网络的过程中“过拟合”现象是我们经常会碰到的麻烦, 而解决“过拟合”现象有效途径之一就是label smoothing,即:Label Smooth可以看作是一种防止过拟合的正则化方法。
原理
Label Smooth的原理主要是在One-Hot标签中加入噪声,减少训练时GroundTruth在计算损失函数的权重,来达到防止过拟合的作用,增强模型的泛化能力;
假设:我们一个5分类的任务,我们在没有经过label smoothing时的数据得到的数据如下
out = tensor([[ 0, 0, 0, 0, 1]], device='cuda:0', grad_fn=<AddmmBackward>)
我们需要使目标out从ont-hot 标签转变为soft label,也即是原来的1的位置上的数变为1 - a ,其它为0的位置上的数转变为a / (K - 1),这里的a通常是取0.1,K为数据类别数。
那么经过 Label Smooth 后的输出为:
LabelSmoothOut = tensor([[ 0.025, 0.025, 0.025, 0.025, 0.9]], device='cuda:0', grad_fn=<AddmmBackward>)
上述的操作已经被大佬从概率上证实确实是可以进行优化结果,感兴趣的话大家可以自信搜索(arxiv.org/pdf/1906.02…)
实操 Label Smooth
下文中就进入到实操环节,例举4个关于Label Smooth的操作。
交叉熵损失与概率
参考:Devin Yang示例
import torch
import torch.nn as nn
from torch.autograd import Variable
class LabelSmoothingLoss(nn.Module):
def __init__(self, classes, smoothing=0.0, dim=-1, weight=None):
"""if smoothing == 0, it's one-hot method
if 0 < smoothing < 1, it's smooth method
"""
super(LabelSmoothingLoss, self).__init__()
self.confidence = 1.0 - smoothing
self.smoothing = smoothing
self.weight = weight
self.cls = classes
self.dim = dim
def forward(self, pred, target):
assert 0 <= self.smoothing < 1
pred = pred.log_softmax(dim=self.dim)
if self.weight is not None:
pred = pred * self.weight.unsqueeze(0)
with torch.no_grad():
true_dist = torch.zeros_like(pred)
true_dist.fill_(self.smoothing / (self.cls - 1))
true_dist.scatter_(1, target.data.unsqueeze(1), self.confidence)
return torch.mean(torch.sum(-true_dist * pred, dim=self.dim))
if __name__ == "__main__":
crit = LabelSmoothingLoss(classes=5, smoothing=0.1)
predict = torch.FloatTensor([[1, 0, 0, 0, 0],
[0, 1, 0, 0, 0],
[0, 0, 1, 0, 0]])
v = crit(Variable(predict), Variable(torch.LongTensor([2, 1, 0])))
print(v)
Shital Shah示例
import torch
import torch.nn.functional as F
from torch.autograd import Variable
from torch.nn.modules.loss import _WeightedLoss
class SmoothCrossEntropyLoss(_WeightedLoss):
def __init__(self, weight=None, reduction='mean', smoothing=0.0):
super().__init__(weight=weight, reduction=reduction)
self.smoothing = smoothing
self.weight = weight
self.reduction = reduction
def k_one_hot(self, targets: torch.Tensor, n_classes: int, smoothing=0.0):
with torch.no_grad():
targets = torch.empty(size=(targets.size(0), n_classes),
device=targets.device) \
.fill_(smoothing / (n_classes - 1)) \
.scatter_(1, targets.data.unsqueeze(1), 1. - smoothing)
return targets
def reduce_loss(self, loss):
return loss.mean() if self.reduction == 'mean' else loss.sum() \
if self.reduction == 'sum' else loss
def forward(self, inputs, targets):
assert 0 <= self.smoothing < 1
targets = self.k_one_hot(targets, inputs.size(-1), self.smoothing)
log_preds = F.log_softmax(inputs, -1)
if self.weight is not None:
log_preds = log_preds * self.weight.unsqueeze(0)
return self.reduce_loss(-(targets * log_preds).sum(dim=-1))
if __name__ == "__main__":
crit = SmoothCrossEntropyLoss(smoothing=0.5)
tensorData = [[0, 0.2, 0.7, 0.1, 0, 0.15], [0, 0.9, 0.2, 0.2, 1, 0.15], [1, 0.2, 0.7, 0.9, 1, 0.15]]
predict = torch.FloatTensor(tensorData)
v = crit(Variable(predict),
Variable(torch.LongTensor([2, 1, 0])))
print(v)
标签平滑交叉熵损失
相较于上述两割我们稍微最小化编码写法以使其更简洁:
Datasaurus示例
import torch
import torch.nn.functional as F
from torch.autograd import Variable
class LabelSmoothingLoss(torch.nn.Module):
def __init__(self, smoothing: float = 0.1,
reduction="mean", weight=None):
super(LabelSmoothingLoss, self).__init__()
self.smoothing = smoothing
self.reduction = reduction
self.weight = weight
def reduce_loss(self, loss):
return loss.mean() if self.reduction == 'mean' else loss.sum() \
if self.reduction == 'sum' else loss
def linear_combination(self, x, y):
return self.smoothing * x + (1 - self.smoothing) * y
def forward(self, preds, target):
assert 0 <= self.smoothing < 1
if self.weight is not None:
self.weight = self.weight.to(preds.device)
n = preds.size(-1)
log_preds = F.log_softmax(preds, dim=-1)
loss = self.reduce_loss(-log_preds.sum(dim=-1))
nll = F.nll_loss(
log_preds, target, reduction=self.reduction, weight=self.weight
)
return self.linear_combination(loss / n, nll)
if __name__=="__main__":
crit = LabelSmoothingLoss(smoothing=0.3, reduction="mean")
predict = torch.FloatTensor([[0, 0.2, 0.7, 0.1, 0],
[0, 0.9, 0.2, 0.2, 1],
[1, 0.2, 0.7, 0.9, 1]])
v = crit(Variable(predict),
Variable(torch.LongTensor([2, 1, 0])))
print(v)
NVIDIA/DeepLearning示例
import torch
import torch.nn as nn
import torch.nn.functional as F
from torch.autograd import Variable
class LabelSmoothing(nn.Module):
"""NLL loss with label smoothing.
"""
def __init__(self, smoothing=0.0):
"""Constructor for the LabelSmoothing module.
:param smoothing: label smoothing factor
"""
super(LabelSmoothing, self).__init__()
self.confidence = 1.0 - smoothing
self.smoothing = smoothing
def forward(self, x, target):
logprobs = torch.nn.functional.log_softmax(x, dim=-1)
nll_loss = -logprobs.gather(dim=-1, index=target.unsqueeze(1))
nll_loss = nll_loss.squeeze(1)
smooth_loss = -logprobs.mean(dim=-1)
loss = self.confidence * nll_loss + self.smoothing * smooth_loss
return loss.mean()
if __name__ == "__main__":
crit = LabelSmoothing(smoothing=0.3)
predict = torch.FloatTensor([[0, 0.2, 0.7, 0.1, 0],
[0, 0.9, 0.2, 0.2, 1],
[1, 0.2, 0.7, 0.9, 1]])
v = crit(Variable(predict),
Variable(torch.LongTensor([2, 1, 0])))
print(v)
参考: