I started with the textbook decomposition and I think that was fine, but I fumbled a bit when they pushed on the practical side.
Start by defining bias and variance clearly, then explain the decomposition of expected error into bias^2, variance, and irreducible noise. Discuss how model complexity affects each component, and finish with practical strategies for diagnosing and addressing bias/variance issues when selecting and tuning models.
Pro tip: Emphasize that the goal is not to minimize bias or variance individually but to find the right balance that minimizes total error, and mention that in practice, you often use learning curves and validation curves to diagnose whether a model is suffering from high bias or high variance.
Explain bias as the error from erroneous assumptions in the learning algorithm (underfitting) and variance as the error from sensitivity to small fluctuations in the training set (overfitting).
Describe how expected prediction error decomposes into bias^2 + variance + irreducible error (noise), and clarify that irreducible error is the noise inherent in the data that no model can eliminate.
Discuss how increasing model complexity typically decreases bias but increases variance, and vice versa, leading to the trade-off. Mention that the optimal complexity minimizes total error.
Explain practical steps: use learning curves to diagnose bias/variance, then apply techniques like regularization, cross-validation, ensembling, or collecting more data to address the dominant issue.
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