Algorithm 4.1 WSINDy for identifying mean-field Eq. (3.1) from particle data $\mathbb{Y}$ $(\widehat{\mathbf{w}},\widehat{\lambda })=\mathbf{WSINDy}(\mathbb{Y},\mathbf{t};G,\mathbf{C},\mathbb{L},\Psi ,\langle \cdot ,\cdot \rangle ,\lambda )$