Explain the bias-variance tradeoff in machine learning.

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Bias-Variance Tradeoff in Machine Learning

The bias-variance tradeoff is a fundamental concept that describes the balance between two sources of error that affect model performance:

  1. Bias is the error from overly simplistic models that make strong assumptions about the data. High bias leads to underfitting, where the model fails to capture the underlying patterns.

  2. Variance is the error from overly complex models that are too sensitive to small fluctuations in the training data. High variance leads to overfitting, where the model captures noise as if it were a true pattern.

The Tradeoff:

  • High Bias, Low Variance: The model is too simple. It performs poorly on both training and test data.

  • Low Bias, High Variance: The model fits the training data well but performs poorly on new data.

  • Optimal Model: Achieves the right balance—low enough bias to capture patterns, and low enough variance to generalize to new data.

Why It Matters:

Understanding and managing this tradeoff helps in choosing the right model complexity and avoiding errors in prediction. Techniques like cross-validation, regularization, and pruning help control bias and variance for better generalization.

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