implementation detail · filed under optimization
Eight-step Newton–Schulz iteration
Using eight Newton–Schulz steps for Muon orthogonalization, selected for added stability under stress.
Also called Eight-step Newton–Schulz orthogonalization, Newton–Schulz iteration to 8 steps.
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We set the Newton–Schulz iteration to 8 steps, favouring the additional stability under stress.
defaultunclearin Qwen3.8-Flash-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 stepHybrid 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 SplitMuownPeer-to-peer shard retrieval for Muon orthogonalization