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Improved Scaling Laws in Linear Regression via Data Reuse

  • Neural scaling laws indicate that the test error of large language models decreases as model size and data size increase.
  • Data reuse can enhance scaling laws in linear regression by improving test error bounds on models trained using multi-pass stochastic gradient descent.
  • The study shows that with data reuse, multi-pass SGD achieves a better test error compared to one-pass SGD in certain data-constrained scenarios.
  • Numerical simulations validate the theoretical results presented in the research work.

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