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Scaling Laws of SignSGD in Linear Regression: When Does It Outperform SGD?
π€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
- βSignSGD exhibits drift-normalization and noise-reshaping effects that are unique compared to standard SGD optimization.
- βThe noise-reshaping effect can make signSGD's compute-optimal slope steeper than SGD in regimes where noise dominates.
- βWarmup-stable-decay scheduling further reduces noise and improves compute-optimal scaling when feature decay is fast but target decay is slow.
- βThe analysis provides theoretical framework for understanding when signSGD outperforms SGD in linear regression tasks.
- βRisk scaling depends on model size, training steps, learning rate, and both feature and target decay parameters.
#signsgd#sgd#optimization#scaling-laws#machine-learning#linear-regression#compute-optimal#arxiv#research
Read Original βvia arXiv β CS AI
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