Explain Neural-Network Regularization and Dropout
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Explain L1, L2, dropout scaling, train/inference behavior, early stopping, and the difference between gradient penalties and decoupled weight decay.
Explain how regularization reduces overfitting in a neural network. Compare L1 and L2 penalties with dropout, including how dropout behaves during training and inference.
Constraints & Assumptions
- Explain the mechanism rather than only naming techniques.
- Use standard inverted dropout as the example and state the drop probability convention.
- Distinguish a penalty added to the objective from changes to architecture, data, or the optimization process.
Clarifying Questions to Ask
- Is the model overfitting, underfitting, or suffering from data leakage or distribution mismatch?
- Which layers use dropout, and is the model in training or inference mode?
- Does the optimizer implement an L2 gradient penalty or decoupled weight decay?
Hints
Hint 1
Preserve the expected activation: If a training activation is randomly set to zero, determine how surviving activations should be scaled so the conditional expected activation remains unchanged.
Follow-up questions
- Why can too much dropout worsen both training and validation performance?
- Why are an L2 penalty and decoupled weight decay not generally equivalent under adaptive optimizers?
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