feat(cutedsl): add CuTe-DSL Newton-Schulz operator and LigerMuon optimizer - #1449
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September 9, 2026 06:18
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Summary
This PR introduces a CuTe-DSL accelerated 5th-order Newton-Schulz operator and the
LigerMuontransformer optimizer to Liger-Kernel.Muon (MomentUm Orthogonalized by Newton-schulz) has demonstrated significant sample efficiency gains over AdamW for pre-training and fine-tuning LLMs by applying orthogonalized momentum updates to 2D weight matrices:
In eager PyTorch, the 5-step iterative polar decomposition incurs repeated un-fused GEMM launches and high HBM memory traffic across dozens of layers. This PR provides:
cutedsl_newton_schulz_forwardinliger_kernel.ops.cutedsl.ops.newton_schulzwith automated PyTorch fallback.liger_newton_schulzoperator exposed inliger_kernel.ops.newton_schulz.LigerMuonoptimizer inliger_kernel.transformers.muon, routing 2D weights to accelerated Newton-Schulz and 1D parameters (biases, layer norms) to AdamW.Testing Done
test/cutedsl/test_newton_schulz.pypassed on H100 (numerical parity across shapes/dtypes, singular value bounds, and loss convergence).ruff checkandruff formatpassed cleanly.