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Are Deep Neural Networks Dramatically Overfitted?

lilianweng.github.io
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ARTICLE
Added
Jul 21, 2026

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[Updated on 2019-05-27: add the section on Lottery Ticket Hypothesis.] If you are like me, entering into the field of deep learning with experience in traditional machine learning, you may often ponder over this question: Since a typical deep neural network has so many parameters and training error can easily be perfect, it should surely suffer from substantial overfitting. How could it be ever generalized to out-of-sample data points?

Why it made the leaderboard

A rigorous walkthrough of why overparameterized deep networks generalize instead of overfitting, covering the Lottery Ticket Hypothesis, intrinsic dimension, and generalization bounds — foundational intuition for anyone reasoning about model capacity and training behavior.

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