pyriemann.utils.kernel.kernel_euclid¶
- pyriemann.utils.kernel.kernel_euclid(X, Y=None, *, reg=1e-10, **kwargs)¶
Euclidean kernel between two sets of matrices.
Calculates the Euclidean kernel matrix \(\mathbf{K}\) of inner products of two sets \(\mathbf{X}\) and \(\mathbf{Y}\) of matrices in \(\mathbb{R}^{n \times m}\) by calculating pairwise products:
\[\mathbf{K}_{i,j} = \text{tr}(\mathbf{X}_i^T \mathbf{Y}_j)\]- Parameters:
- Xndarray, shape (n_matrices_X, n, m)
First set of matrices.
- YNone | ndarray, shape (n_matrices_Y, n, m), default=None
Second set of matrices. If None, Y is set to X.
- regfloat, default=1e-10
Regularization parameter to mitigate numerical errors in kernel matrix estimation.
- Returns:
- Kndarray, shape (n_matrices_X, n_matrices_Y)
The Euclidean kernel matrix between X and Y.
See also
Notes
New in version 0.3.