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Summary of Classical Statistical (in-sample) Intuitions Don’t Generalize Well: a Note on Bias-variance Tradeoffs, Overfitting and Moving From Fixed to Random Designs, by Alicia Curth


Classical Statistical (In-Sample) Intuitions Don’t Generalize Well: A Note on Bias-Variance Tradeoffs, Overfitting and Moving from Fixed to Random Designs

by Alicia Curth

First submitted to arxiv on: 27 Sep 2024

Categories

  • Main: Machine Learning (stat.ML)
  • Secondary: Machine Learning (cs.LG)

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GrooveSquid.com Paper Summaries

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Summary difficulty Written by Summary
High Paper authors High Difficulty Summary
Read the original abstract here
Medium GrooveSquid.com (original content) Medium Difficulty Summary
This paper reveals that the recent emergence of machine learning phenomena like double descent and benign overfitting can be attributed to a shift from evaluating models based on in-sample prediction error to generalization error. This change, from fixed to random designs, has significant consequences for textbook intuitions regarding the bias-variance tradeoff. The paper highlights how this move affects our understanding of these phenomena, which are often observed as going against classical statistical intuitions.
Low GrooveSquid.com (original content) Low Difficulty Summary
This study shows that modern machine learning’s unusual behaviors can be explained by a simple change in evaluation methods. Instead of focusing on how well models predict in-sample data, we now care about their ability to generalize to new, unseen data. This shift from fixed to random designs has big implications for our understanding of bias and variance tradeoffs. By looking at this change, the paper helps us make sense of seemingly counterintuitive ML phenomena.

Keywords

» Artificial intelligence  » Generalization  » Machine learning  » Overfitting