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Generalization and Learning Theory

Early Stopping

Early stopping ends training when validation performance stops improving, preventing the model from fitting training details too far.

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Early Stopping

Definition

Early stopping is a regularization method that stops training before the model overfits too much.

Simple form:

train while validation performance improves
stop when validation performance worsens or stalls

The model is not trained indefinitely.

Early stopping uses validation behavior to decide when to stop training.


Why Training Longer Can Hurt

During training, a model may first learn useful patterns.

Later, it may start fitting training-specific details.

Example:

training loss keeps decreasing
validation loss starts increasing

This suggests the model is improving on training data while getting worse on new data.

More training is not always better for generalization.


Validation Signal

Early stopping depends on validation data.

The validation set gives feedback about unseen-like examples during development.

good validation trend -> continue
bad validation trend -> stop or restore best model

This makes validation data important.

Early stopping uses validation performance as a generalization signal.


Early Stopping As Regularization

Stopping early limits how far the model can adapt to the training set.

It acts like a constraint on training time.

less time to fit noise
more chance to keep reusable pattern

This can reduce overfitting.

Early stopping regularizes by limiting training progress.


Tradeoff

Stopping too early can cause underfitting.

Stopping too late can allow overfitting.

too early -> not enough learning
too late -> too much training-specific fitting

The goal is to stop near the best validation behavior.

Early stopping balances learning enough with not fitting too much.


Final Summary

  • Early stopping ends training based on validation behavior.
  • It helps prevent overfitting.
  • It is a form of regularization.
  • Training longer can hurt generalization.
  • Stopping too early can cause underfitting.

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Continue the series.

Statistical Learning Theory