Comments (1)
Mathematically I think we're doing what you've wrote, but we implement it with Cholesky factorization, so instead of
mean_predict.analytical result = kernel_cov.T.dot(Kff_inv).dot(train_ys)
we do something like
import jax.scipy as sp
c, _ = sp.linalg.cho_factor(kernel_train + noise_scale * noise_scale * np.mean(np.trace(kernel_train)) * np.eye(len(train_xs)))
Kff_inv_dot_train_ys = sp.linalg.cho_solve(c, train_ys)
mean_predict.analytical result = kernel_cov.T.dot(Kff_inv_dot_train_ys)
This could give slightly different results from np.linalg.inv
, but is faster. Could this explain the difference, or you get huge discrepancy?
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