|
| 1 | +"""Test kernels module.""" |
| 2 | + |
| 3 | +import numpy as np # type: ignore |
| 4 | +import pytest # type: ignore |
| 5 | + |
| 6 | +from frouros.utils.kernels import rbf_kernel |
| 7 | + |
| 8 | + |
| 9 | +# TODO: Create fixtures for the matrices and the expected kernel values |
| 10 | + |
| 11 | +@pytest.mark.parametrize( |
| 12 | + "X, Y, sigma, expected_kernel_value", |
| 13 | + [ |
| 14 | + (np.array([[1, 2, 3]]), np.array([[1, 2, 3]]), 0.5, np.array([[1.0]])), |
| 15 | + (np.array([[1, 2, 3]]), np.array([[1, 2, 3]]), 1.0, np.array([[1.0]])), |
| 16 | + (np.array([[1, 2, 3]]), np.array([[1, 2, 3]]), 2.0, np.array([[1.0]])), |
| 17 | + (np.array([[1, 2, 3]]), np.array([[4, 5, 6]]), 0.5, np.array([[3.53262857e-24]])), |
| 18 | + (np.array([[1, 2, 3]]), np.array([[4, 5, 6]]), 1.0, np.array([[1.37095909e-06]])), |
| 19 | + (np.array([[1, 2, 3]]), np.array([[4, 5, 6]]), 2.0, np.array([[0.03421812]])), |
| 20 | + (np.array([[1, 2, 3], [4, 5, 6]]), np.array([[1, 2, 3], [4, 5, 6]]), 0.5, |
| 21 | + np.array([[1.00000000e+00, 3.53262857e-24], [3.53262857e-24, 1.00000000e+00]])), |
| 22 | + (np.array([[1, 2, 3], [4, 5, 6]]), np.array([[1, 2, 3], [4, 5, 6]]), 1.0, |
| 23 | + np.array([[1.00000000e+00, 1.37095909e-06], [1.37095909e-06, 1.00000000e+00]])), |
| 24 | + (np.array([[1, 2, 3], [4, 5, 6]]), np.array([[1, 2, 3], [4, 5, 6]]), 2.0, |
| 25 | + np.array([[1.00000000e+00, 0.03421812], [0.03421812, 1.00000000e+00]])), |
| 26 | + (np.array([[1, 2, 3], [4, 5, 6]]), np.array([[1.5, 2.5, 3.5], [4.5,5.5, 6.5]]), 0.5, |
| 27 | + np.array([[2.23130160e-01, 1.20048180e-32], [5.17555501e-17, 2.23130160e-01]])), |
| 28 | + (np.array([[1, 2, 3], [4, 5, 6]]), np.array([[1.5, 2.5, 3.5], [4.5, 5.5, 6.5]]), 1.0, |
| 29 | + np.array([[6.87289279e-01, 1.04674018e-08], [8.48182352e-05, 6.87289279e-01]])), |
| 30 | + (np.array([[1, 2, 3], [4, 5, 6]]), np.array([[1.5, 2.5, 3.5], [4.5, 5.5, 6.5]]), 2.0, |
| 31 | + np.array([[0.91051036, 0.01011486], [0.09596709, 0.91051036]])), |
| 32 | + ], |
| 33 | +) |
| 34 | +def test_rbf_kernel( |
| 35 | + X: np.ndarray, |
| 36 | + Y: np.ndarray, |
| 37 | + sigma: float, |
| 38 | + expected_kernel_value: np.ndarray, |
| 39 | +) -> None: |
| 40 | + """Test rbf kernel. |
| 41 | +
|
| 42 | + :param X: X values |
| 43 | + :type X: numpy.ndarray |
| 44 | + :param Y: Y values |
| 45 | + :type Y: numpy.ndarray |
| 46 | + :param sigma: sigma value |
| 47 | + :type sigma: float |
| 48 | + :param expected_kernel_value: expected kernel value |
| 49 | + :type expected_kernel_value: numpy.ndarray |
| 50 | + """ |
| 51 | + assert np.all( |
| 52 | + np.isclose( |
| 53 | + rbf_kernel( |
| 54 | + X=X, |
| 55 | + Y=Y, |
| 56 | + sigma=sigma, |
| 57 | + ), |
| 58 | + expected_kernel_value, |
| 59 | + ), |
| 60 | + ) |
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