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CMuon: Accelerating and Stabilizing Diffusion Transformer Training via Chunked Momentum Orthogonalization

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TL;DR - CMuon is a modification of the Muon optimizer that splits fused weight tensors in Diffusion Transformers into independent chunks before momentum orthogonalization, removing a convergence bottleneck and cutting DiT training cost by more than half versus AdamW.

  • Diagnosis: standard DiT architectures fuse functionally distinct weights (e.g., AdaLN and QKV projections) into single tensors for efficiency; orthogonalizing these fused tensors with vanilla Muon induces implicit subspace coupling that distorts update directions and hurts global optimization.
  • Fix: partition the fused matrices into independent sub-components before the orthogonalization step — a simple, architecture-aware change rather than a new optimizer family.
  • Results: a 675M-parameter DiT reaches FID 1.18 on ImageNet 256 in 200 epochs, reported as >2x training speedup over AdamW while avoiding vanilla Muon's late-stage convergence plateaus.
  • Relevance: targets the practical bottleneck of prohibitively expensive visual generative model pretraining, suggesting optimizer design must account for how weights are packed in the implementation.

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CMuon: Accelerating and Stabilizing Diffusion Transformer Training via Chunked Momentum Orthogonalization

arXiv cs.AI Chuyan Chen, Peng Sun, Kun Yuan 2026-08-03 arXiv:2608.02502
Public signals Semantic Scholar citations 0 · Semantic Scholar influential citations 0
Providers: Hugging Face · N/A OpenAlex · N/A Publisher · N/A Semantic Scholar · Citations 0 · Influential citations 0 X · N/A Fetched 2026-08-23 14:20:52.210066 UTC

TL;DR - CMuon is a modification of the Muon optimizer that splits fused weight tensors in Diffusion Transformers into independent chunks before momentum orthogonalization, removing a convergence bottleneck and cutting DiT training cost by more than half versus AdamW.

  • Diagnosis: standard DiT architectures fuse functionally distinct weights (e.g., AdaLN and QKV projections) into single tensors for efficiency; orthogonalizing these fused tensors with vanilla Muon induces implicit subspace coupling that distorts update directions and hurts global optimization.
  • Fix: partition the fused matrices into independent sub-components before the orthogonalization step — a simple, architecture-aware change rather than a new optimizer family.
  • Results: a 675M-parameter DiT reaches FID 1.18 on ImageNet 256 in 200 epochs, reported as >2x training speedup over AdamW while avoiding vanilla Muon's late-stage convergence plateaus.
  • Relevance: targets the practical bottleneck of prohibitively expensive visual generative model pretraining, suggesting optimizer design must account for how weights are packed in the implementation.
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