implementation detail · filed under optimization
Polar Express coefficient schedule
Using the per-step coefficient schedule of Polar Express for Newton–Schulz iteration.
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One count per evidence span, weakest treatment to strongest.
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Documented in
Evidence
1 span quoted from the sources, strongest treatment first.
we adopt the per-step coefficient schedule of the Polar Express method
usedoptimizationin Qwen3.8-NextQwen
Filed alongside
Other methods under optimization :: optimizer.
MuonPer-Head MuonAdamWCategory-specific assignment of Muon and AdamWSplit fused gradients before orthogonalizationNesterov momentumSinkhorn-balanced updateAdam without weight decay for the N-gram embedding tableAdamW for attention and GDN output gatesAdamW for gated-residual low-rank projectionsAdamW for input embeddings and output headAdamW for the MoE routerAsynchronous Micro-Group pipelineCanzonaCUDA graph capture of the optimizer stepEight-step Newton–Schulz iterationHybrid Muon and AdamW parameter-group optimizer assignmentHybrid Newton–Schulz iterationsHybrid optimization with Muon and AdamMoonlight-style learning-rate scalingMuon orthogonalization accuracy refinementMuon restricted to two-dimensional linear-map weightsMuon SplitMuown