This dataset (one excel file with multiple sheets) contains all the necessary data used to produce the Figure 3, Figure 4, and Figure 6 in our manuscript (Fig3a: the ideal and encoded weight matrix M1; Fig3b: the ideal and measured inverse results of the 4x4 real-valued matrix, A1; Fig3c: evolution of inversion accuracy of A1 during convergence; Fig3d: the ideal and encoded weight matrix M2; Fig3e: the ideal and measured inverse results of the 4x4 real-valued matrix, A2; Fig3f: evolution of inversion accuracy of A2 during convergence; Fig4a: the measured (8-point discretisation), ideal (8-point discretisation), and ideal (1000-point discretisation) solutions of the Fredholm integral equation of the second kind; Fig4b: the measured (8-point discretisation), ideal (8-point discretisation), and ideal (1000-point discretisation) solutions of the 2nd order ordinary differential equation; Fig4c: the measured (4-point discretisation), ideal (4-point discretisation), and ideal (1000-point discretisation) solutions of the partial differential equation (Poisson equation); Fig6a: the ideal and measured inversion results of the 2x2 complex-valued matrix, A3; Fig6b: evolution of inversion accuracy of A3 during convergence; Fig6c: the ideal and measured inversion results of the 2x2 complex-valued matrix, A4; Fig6d: evolution of inversion accuracy of A5 during convergence; Fig6e: the ideal and measured inversion results of the 2x2 complex-valued matrix, A5; Fig6f: evolution of inversion accuracy of A5 during convergence). See the main manuscript for more details.