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🧠 AI NeutralImportance 4/10

Scaling Laws of SignSGD in Linear Regression: When Does It Outperform SGD?

arXiv – CS AI|Jihwan Kim, Dogyoon Song, Chulhee Yun||4 views
🤖AI Summary

Researchers analyzed scaling laws for signSGD optimization in machine learning, comparing it to standard SGD under a power-law random features model. The study identifies unique effects in signSGD that can lead to steeper compute-optimal scaling laws than SGD in noise-dominant regimes.

Key Takeaways
  • SignSGD exhibits drift-normalization and noise-reshaping effects that are unique compared to standard SGD optimization.
  • The noise-reshaping effect can make signSGD's compute-optimal slope steeper than SGD in regimes where noise dominates.
  • Warmup-stable-decay scheduling further reduces noise and improves compute-optimal scaling when feature decay is fast but target decay is slow.
  • The analysis provides theoretical framework for understanding when signSGD outperforms SGD in linear regression tasks.
  • Risk scaling depends on model size, training steps, learning rate, and both feature and target decay parameters.
Read Original →via arXiv – CS AI
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