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使用 Dropout 正则化防止过拟合

您将添加不同概率的 nn.Dropout,比较训练损失与验证损失曲线,并调用 model.eval() 在推理时停用 Dropout。

使用 Dropout 正则化防止过拟合 是 CoddyKit 上的免费 Machine Learning Academy 课时。 这是第 3 节课,共 4 节。 你可以在下方免费阅读本课时的完整内容 — 然后在浏览器中使用内置代码编辑器和全天候 AI 导师进行实践。 这是 Machine Learning Academy 学习路径的一部分,你的进度在网页和 CoddyKit 应用中同步。 Machine Learning Academy 课程共包含 4 节课。

本课时的部分内容尚未翻译,以英文显示。

What Is Dropout and Why Use It?

Dropout, introduced by Srivastava et al. in 2014, is a regularisation technique that randomly sets a fraction of neuron activations to zero during each training step. By forcing the network to operate with a random subset of neurons, it prevents any single neuron from becoming too specialised and forces the network to learn redundant representations. This reduces overfitting significantly in large fully connected networks.

import torch
import torch.nn as nn

dropout = nn.Dropout(p=0.5)   # 50% chance each neuron is zeroed

x = torch.ones(1, 8)

# Training mode: randomly zeros activations
dropout.train()
out = dropout(x)
print('Training output:', out)
# Some values are 0, survivors are scaled by 1/(1-p)

# Eval mode: dropout is disabled (identity function)
dropout.eval()
out_eval = dropout(x)
print('Eval output:', out_eval)   # all ones

The Inverted Dropout Trick

PyTorch implements inverted dropout: during training, surviving activations are scaled up by 1/(1-p) to compensate for the zeroed neurons. This means the expected sum of activations stays the same regardless of the dropout rate. The advantage is that at inference you disable dropout and use the network as-is — no need to scale outputs. This is why Dropout in eval mode is simply an identity function.

import torch
import torch.nn as nn

# With p=0.5, surviving neurons are scaled by 2.0
dropout = nn.Dropout(p=0.5)
dropout.train()

# Start with all-ones tensor
x = torch.ones(1, 10)
out = dropout(x)
print('Scaled values:', out)
# Values are either 0 or 2.0 (= 1 / (1 - 0.5))

# Expected value = (1-p) * (1/(1-p)) = 1.0 (same as input)
print('Expected value preserved:', out.mean().item())

Adding Dropout to a Network

Dropout layers are typically placed after activation functions in fully connected networks, or after pooling in CNNs. Common dropout probabilities are p=0.5 for large hidden layers and p=0.2-0.3 for smaller layers or CNNs. Dropout is usually not applied to the input layer or the final output layer. The example below shows a deep MLP with Dropout between hidden layers.

import torch.nn as nn

model = nn.Sequential(
    nn.Linear(784, 512),
    nn.ReLU(),
    nn.Dropout(p=0.5),    # regularise large hidden layer

    nn.Linear(512, 256),
    nn.ReLU(),
    nn.Dropout(p=0.5),

    nn.Linear(256, 128),
    nn.ReLU(),
    nn.Dropout(p=0.3),    # less aggressive for smaller layer

    nn.Linear(128, 10)    # no dropout on output layer
)
print(model)

train() vs eval(): Critical Usage

Forgetting to switch between training and evaluation mode is one of the most common and hard-to-debug mistakes. In training mode (model.train()), Dropout randomly zeros activations. In eval mode (model.eval()), Dropout is completely disabled and all neurons are active. Failing to call model.eval() before evaluation means the validation loss will be artificially higher and non-deterministic, making it impossible to reliably compare runs.

import torch
import torch.nn as nn

model = nn.Sequential(
    nn.Linear(4, 16), nn.ReLU(),
    nn.Dropout(0.5),
    nn.Linear(16, 2)
)

x = torch.randn(1, 4)

# Different output each time in training mode!
model.train()
print(model(x))
print(model(x))  # different due to random dropout

# Deterministic in eval mode
model.eval()
with torch.no_grad():
    print(model(x))
    print(model(x))  # same result both times

Observing Dropout's Effect on Overfitting

To see Dropout's regularisation effect, compare training and validation loss curves with and without it. Without Dropout, a large network will typically show the classic overfitting pattern: training loss near zero while validation loss remains high. With Dropout, both curves track each other more closely. The gap between training and validation accuracy (the generalisation gap) is the key metric Dropout reduces.

import torch
import torch.nn as nn
import torch.optim as optim

def make_net(use_dropout):
    layers = [nn.Linear(20, 256), nn.ReLU()]
    if use_dropout: layers.append(nn.Dropout(0.5))
    layers += [nn.Linear(256, 2)]
    return nn.Sequential(*layers)

for use_do in [False, True]:
    model = make_net(use_do)
    print(f'Dropout={use_do}:')
    # Train on 50 samples -> large model will overfit without DO
    X = torch.randn(50, 20)
    y = torch.randint(0, 2, (50,))
    opt = optim.Adam(model.parameters())
    crit = nn.CrossEntropyLoss()
    for e in range(100):
        model.train(); opt.zero_grad()
        loss = crit(model(X), y); loss.backward(); opt.step()
    print(f'  Train loss: {loss.item():.3f}')

Dropout Rate Tuning

The dropout probability p is a hyperparameter you need to tune. p=0.5 is the original default from the Dropout paper and works well for very large layers. For convolutional layers, p=0.1 to 0.25 is typical because spatial features are more structured. For Transformers, p=0.1 is standard. If your model is not overfitting, reduce p or remove Dropout. If it is strongly overfitting, increase p incrementally and monitor validation performance.

# Dropout rate guidelines
rates = {
    'Large FC layer (1000+ units)': 0.5,
    'Small FC layer (100-500 units)': 0.3,
    'CNN hidden layers': 0.1,
    'Transformer attention': 0.1,
    'LSTM': 0.2,
    'Input layer (rare)': 0.1
}

for context, rate in rates.items():
    print(f'{context}: p={rate}')

Monte Carlo Dropout for Uncertainty

An advanced use of Dropout is MC Dropout for uncertainty estimation. Instead of disabling Dropout at inference, keep it enabled and run the model N times on the same input. The mean of the N predictions is the estimate; the variance across predictions measures model uncertainty. This approximates Bayesian inference without a full Bayesian neural network. It is used in safety-critical applications like medical diagnosis where knowing 'I don't know' is valuable.

import torch
import torch.nn as nn

model = nn.Sequential(
    nn.Linear(4, 16), nn.ReLU(),
    nn.Dropout(0.5),
    nn.Linear(16, 2)
)

x = torch.randn(1, 4)
model.train()   # keep dropout ON for MC dropout

# Run 100 stochastic forward passes
preds = torch.stack([model(x) for _ in range(100)])
mean_pred = preds.mean(dim=0)
uncertainty = preds.std(dim=0)

print('Mean prediction:', mean_pred)
print('Uncertainty:', uncertainty)  # high = unsure

Spatial Dropout for CNNs

nn.Dropout2d (Spatial Dropout) zeros entire channels rather than individual activations in convolutional feature maps. This is more effective for CNNs because adjacent pixels in the same channel are highly correlated — dropping individual pixels has little effect. By dropping entire channels, the network cannot rely on any single filter and must distribute information across many channels. Use Dropout2d after Conv2d layers in place of regular Dropout.

import torch
import torch.nn as nn

conv_model = nn.Sequential(
    nn.Conv2d(3, 32, 3, padding=1),
    nn.ReLU(),
    nn.Dropout2d(p=0.1),   # drops entire channels
    nn.Conv2d(32, 64, 3, padding=1),
    nn.ReLU(),
    nn.Dropout2d(p=0.1)
)

conv_model.train()
x = torch.randn(4, 3, 16, 16)   # batch of 4 images
out = conv_model(x)
print(out.shape)   # torch.Size([4, 64, 16, 16])

Dropout vs Weight Decay: Complementary Techniques

Dropout and weight decay (L2 regularisation) are complementary regularisers — use them together. Dropout prevents co-adaptation between neurons; weight decay penalises large weights, shrinking all parameters towards zero. The combination is stronger than either alone. In AdamW, weight decay is applied correctly as a separate term, not mixed into the gradient update like in Adam. Most production models use both techniques.

import torch.nn as nn
import torch.optim as optim

model = nn.Sequential(
    nn.Linear(64, 256), nn.ReLU(),
    nn.Dropout(0.4),
    nn.Linear(256, 128), nn.ReLU(),
    nn.Dropout(0.3),
    nn.Linear(128, 10)
)

# Combine dropout in model with weight decay in optimizer
optimizer = optim.AdamW(
    model.parameters(),
    lr=1e-3,
    weight_decay=1e-4   # L2 regularisation
)
print('Model has both Dropout and L2 regularisation')

Diagnosing Overfitting with Dropout

Use the training vs validation loss plot to diagnose whether you need more regularisation. The validation loss increasing while training loss decreases is the signature of overfitting. Systematically increase dropout probability or add Dropout layers where missing. Other signals of severe overfitting include training accuracy 98%+ while validation accuracy stagnates at 70-80%, or very high variance in validation metrics across different random seeds.

# Decision guide for dropout tuning

# Gap = train_acc - val_acc
# Gap < 2% -> no overfitting, Dropout not needed (or reduce p)
# Gap 2-5% -> mild overfitting, add p=0.2-0.3
# Gap 5-10% -> moderate overfitting, use p=0.4-0.5
# Gap > 10% -> severe overfitting:
#   1. Increase dropout probability
#   2. Add more Dropout layers
#   3. Increase weight decay
#   4. Collect more training data
#   5. Reduce model capacity
print('Diagnose overfitting gap, then tune p')

Dropout in Practice: Summary

To use Dropout correctly: add nn.Dropout(p) after hidden layer activations; call model.train() during training to enable it and model.eval() during evaluation to disable it; start with p=0.5 for large FC layers and reduce if the model underfits. Pair with weight decay via AdamW for best results. Always track both training and validation metrics to confirm Dropout is actually helping — sometimes it hurts convergence speed without improving generalisation when the model is already well-regularised.

import torch.nn as nn
import torch.optim as optim

# Complete setup: Dropout + BatchNorm + AdamW
model = nn.Sequential(
    nn.Linear(128, 512),
    nn.BatchNorm1d(512),
    nn.ReLU(),
    nn.Dropout(0.5),

    nn.Linear(512, 256),
    nn.BatchNorm1d(256),
    nn.ReLU(),
    nn.Dropout(0.4),

    nn.Linear(256, 10)
)

optimizer = optim.AdamW(
    model.parameters(), lr=1e-3, weight_decay=1e-4
)
print('Ready to train with full regularisation stack')

Quick Check

Test your understanding of Machine Learning with Python concepts from this lesson.

Lesson Recap

In this lesson you learned: Dropout randomly zeros neuron activations during training to prevent co-adaptation and reduce overfitting, inverted dropout scales surviving values by 1/(1-p) so inference requires no adjustment, and model.eval() disables Dropout for deterministic and correct inference. Next up we explore weight initialisation strategies that prevent vanishing and exploding gradients in deep networks.

常见问题解答

「使用 Dropout 正则化防止过拟合」课时是免费的吗?

是的 — 「使用 Dropout 正则化防止过拟合」的完整文本可在网页上免费阅读。要进行交互式练习(内置代码编辑器和全天候 AI 导师)并解锁 Machine Learning Academy 课程的其余内容,请升级到 CoddyKit PRO。 Machine Learning Academy 课程共包含 4 节课。

「使用 Dropout 正则化防止过拟合」这节课中我会学到什么?

您将添加不同概率的 nn.Dropout,比较训练损失与验证损失曲线,并调用 model.eval() 在推理时停用 Dropout。 你通过在浏览器中直接运行的动手代码来练习 Machine Learning Academy,全天候 AI 导师会在你学习这节课的过程中回答你的问题。

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「使用 Dropout 正则化防止过拟合」课时需要多长时间?

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此课程中的所有课时

  1. 学习率:最重要的超参数
  2. 批归一化:更稳定、更快速的训练
  3. 使用 Dropout 正则化防止过拟合
  4. 权重初始化:Xavier 与 He 初始化
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