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Memorizing without overfitting: Bias, variance, and interpolation in overparameterized models

Jason W. Rocks, Pankaj Mehta

2022Physical Review Research72 citationsDOIOpen Access PDF

Abstract

the bias and variance in contrast with the classical bias-variance trade-off. We also show that in contrast with classical intuition, over-parameterized models can overfit even in the absence of noise and exhibit bias even if the student and teacher models match. We synthesize these results to construct a holistic understanding of generalization error and the bias-variance trade-off in over-parameterized models and relate our results to random matrix theory.

Topics & Concepts

OverfittingVariance (accounting)Interpolation (computer graphics)EconometricsComputer scienceStatisticsMathematicsArtificial intelligenceAlgorithmEconomicsArtificial neural networkAccountingMotion (physics)Statistical Methods and InferenceStochastic Gradient Optimization TechniquesBayesian Methods and Mixture Models
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