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.
Minimax approximation of sign function by composite polynomial for homomorphic comparison.IEEE Transactions on Dependable and Secure Computing, 19(6):3711–3727, 2022
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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.