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Explore the second part of a lecture that delves into the classical statistical decision theory's approach to prediction error, generalization gap, and model complexity. Examine the fixed-X perspective in statistics and its limitations when applied to machine learning's random-X setting. Discover how classical statistical concepts can be reinterpreted and extended to accommodate the random-X framework, particularly in cases where predictive models interpolate training data. Gain insights into the differences between statistical and machine learning approaches to generalization and model complexity, and learn how these perspectives can be reconciled for a more comprehensive understanding of predictive modeling.
Syllabus
Prediction, Generalization, Complexity: Revisiting the Classical View from Statistics Part 2
Taught by
Simons Institute