A composite polynomial filter approximates PSD cone projection with matrix multiplications alone, achieving roughly 10x speedup over GPU eigenvalue solvers at about 1e-3 relative error.
Squeezing 1-2% efficiency gains out of Muon by optimizing the Newton-Schulz coefficients.https://leloykun.github.io/ponder/ muon-opt-coeffs/, 2024
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Factorization-free Orthogonal Projection onto the Positive Semidefinite Cone with Composite Polynomial Filtering
A composite polynomial filter approximates PSD cone projection with matrix multiplications alone, achieving roughly 10x speedup over GPU eigenvalue solvers at about 1e-3 relative error.