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-**SOAP (Shampoo with Adam in the Preconditioner)**: Combines Shampoo's preconditioning with Adam-style momentum ([arXiv:2409.11321](https://arxiv.org/abs/2409.11321))
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-**Muon**: Uses Newton-Schulz orthogonalization for improved stability and convergence in large-scale training ([arXiv:2502.16982](https://arxiv.org/abs/2502.16982))
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