ML Overfitting VS UnderFitting
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Model fitting is the fundamental process in machine learning where algorithms learn patterns from training data. The goal is to create a model that can make accurate predictions on new, unseen data. This requires finding the right balance between learning from the training examples and maintaining the ability to generalize. Too simple models may miss important patterns, while too complex models may memorize noise instead of learning true relationships.
Underfitting happens when our model is too simple to capture the underlying patterns in the data. Here we see a dataset with a clear quadratic relationship, but our linear model fails to learn this pattern. An underfitted model has high bias and low variance, meaning it consistently makes the same type of errors. It performs poorly on both training and test data because it cannot represent the complexity of the real relationship.
Overfitting is the opposite problem where our model is too complex and memorizes the training data, including noise. This overly complex polynomial passes through every training point perfectly, creating unnecessary curves and wiggles. An overfitted model has low bias but high variance, meaning it's very sensitive to small changes in training data. While it achieves perfect training accuracy, it fails to generalize to new data.
Let's compare underfitting and overfitting directly. Underfitted models have low training and test accuracy due to high bias, while overfitted models have high training accuracy but low test accuracy due to high variance. The learning curves show this clearly - as model complexity increases, training error decreases, but test error first decreases then increases, creating a U-shaped curve. The optimal model complexity lies in the sweet spot between these extremes.
To detect and solve fitting problems, we use learning curves and cross-validation. For underfitting, increase model complexity, add features, or reduce regularization. For overfitting, add regularization like L1 or L2, use early stopping, gather more training data, or apply cross-validation. The learning curves show different patterns - underfitting has high, flat errors for both training and validation, while overfitting shows a growing gap between them.