The Active Ingredient in Muon's Grokking
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arXiv:2607.20512v1 Announce Type: new Abstract: The Muon optimizer reaches the grokking threshold on modular arithmetic faster than AdamW. Prior work attributes this to "spectral-norm constraints plus orthogonalized momentum" but does not isolate which mechanism matters. To better understand Moun's behavior, we run multi-seed and multi-learning-rate sweeps to decompose and stress-test the effect. First, an ablation shows the speedup comes from orthogonalization (the Newton-Schulz iteration):…
1Key Takeaways
- arXiv:2607.20512v1 Announce Type: new Abstract: The Muon optimizer reaches the grokking threshold on modular arithmetic faster than AdamW.
- Prior work attributes this to "spectral-norm constraints plus orthogonalized momentum" but does not isolate which mechanism matters.
- To better understand Moun's behavior, we run multi-seed and multi-learning-rate sweeps to decompose and stress-test the effect.
- First, an ablation shows the speedup comes from orthogonalization (the Newton-Schulz iteration):….
2AIWedia Score
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3Why it matters
Research breakthroughs often arrive in products months later—early signals matter for strategy. arXiv ML reports that arXiv:2607.20512v1 Announce Type: new Abstract: The Muon optimizer reaches the grokking threshold on modular arithmetic faster than AdamW.
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