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Summary of Universality in Transfer Learning For Linear Models, by Reza Ghane et al.


Universality in Transfer Learning for Linear Models

by Reza Ghane, Danil Akhtiamov, Babak Hassibi

First submitted to arxiv on: 3 Oct 2024

Categories

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

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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 investigates transfer learning and fine-tuning in linear models for both regression and binary classification tasks. The authors analyze stochastic gradient descent (SGD) on a linear model initialized with pretrained weights, trained on small datasets from the target distribution. In the asymptotic regime of large models, they provide an exact analysis of generalization errors (regression) and classification errors (binary classification) for both pretrained and fine-tuned models. The authors identify conditions under which the fine-tuned model outperforms the pretrained one. Notably, their results are “universal”, depending only on first- and second-order statistics of the target distribution, extending beyond standard Gaussian assumptions. The paper also explores the test error of a classification task trained using ridge regression.
Low GrooveSquid.com (original content) Low Difficulty Summary
This research looks at how to improve machine learning models by using what they already know to learn even better. It focuses on linear models, which are simple and powerful tools for predicting things like numbers or categories. The authors study how to make these models work well when given only a little information from the new task they’re trying to learn. They find that if the model is big enough, it can do even better by fine-tuning its weights with just a small amount of new data. This is important because it means we can use what we already know to make our models work better in new situations.

Keywords

» Artificial intelligence  » Classification  » Fine tuning  » Generalization  » Machine learning  » Regression  » Stochastic gradient descent  » Transfer learning