def ukr_project(X_model, B):
    """Project (new) manifold points in `B` to the high-dimensional space.
    
    Parameters
    ----------
    X_model : np.ndarray, shape=(N,D)
        High-dimensional model samples corresponding.
    B : np.ndarray, shape=(M,N)
        Kernelized distance matrix between the samples `Y_model` and `Y`.
        Normalized such that the columns sum to 1.

    Returns
    -------
    X : np.ndarray, shape=(M,D)
        New high-dimensional sample set.
    """
    return B.T.dot(X_model)