Non-Record: Polar Express Muon negative result (1.0805 BPB, +0.0004 vs standard NS5)#1516
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Non-Record: Polar Express Muon negative result (1.0805 BPB, +0.0004 vs standard NS5)#1516dexhunter wants to merge 1 commit intoopenai:mainfrom
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…pb 1.08049 Non-record submission documenting a negative result for Polar Express Muon, an alternative Newton-Schulz orthogonalization variant. Result: val_bpb 1.08049 (+0.00043 worse than standard Muon NS5 at 1.08006 on the same stack). The standard NS iteration is already near-optimal for this architecture at this step count. Single seed (s42), 15.998 MB, 588s train, legal score-first TTT. Credits: @clarkkev (PR openai#1394 baseline).
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Non-Record Submission: Polar Express Muon (Negative Result)
val_bpb: 1.08049 (single seed s42) | 16.00 MB | 8×H100 SXM
This is a non-record submission documenting a negative result for Polar Express Muon, an alternative Newton-Schulz orthogonalization variant in the Muon optimizer.
What is Polar Express Muon?
Standard Muon uses a 5-step Newton-Schulz iteration to approximate the matrix polar decomposition for preconditioning. Polar Express replaces this with an alternative spectral approximation that has different convergence properties.
Result
Polar Express is slightly worse (+0.00043 BPB) than standard NS5 on this stack. The standard Newton-Schulz iteration is already near-optimal for this architecture at ~4900 steps.
Why this is interesting
Credits
Base stack: @clarkkev PR #1394.
Test plan