def test_apply_C_left_sym_matches_full(): sigma = 1. N = 10 Z = np.random.randn(N, 2) K = gaussian_kernel(Z, sigma=sigma) R = incomplete_cholesky_gaussian(Z, sigma, eta=0.1)["R"] v = np.random.randn(Z.shape[0]) lmbda = 1. x = (develop_gaussian.compute_C_sym(Z, K, sigma) + lmbda * (K + np.eye(len(K)))).dot(v) y = develop_gaussian_low_rank.apply_left_C_sym(v, Z, R.T, lmbda) assert_allclose(x, y, atol=2e-1, rtol=2e-1)
def apply_C_matches_sym(): sigma = 1. N_X = 100 X = np.random.randn(N_X, 2) kernel = lambda X, Y: gaussian_kernel(X, Y, sigma=sigma) temp = incomplete_cholesky(X, kernel, eta=0.1) I, R, nu = (temp["I"], temp["R"], temp["nu"]) R_test = incomplete_cholesky_new_points(X, X, kernel, I, R, nu) v = np.random.randn(N_X.shape[0]) lmbda = 1. x = gaussian_low_rank.apply_left_C(v, X, X, R.T, R_test.T, lmbda) y = develop_gaussian_low_rank.apply_left_C_sym(v, X, R.T, lmbda) assert_allclose(x, y)