Results of likelihood analyses for DES-Y1 mock data. We show the results for two-point statistics (red), persistent homology (blue), and for the joint analysis (grey, filled). The dotted lines show the prior ranges, the solid black lines visualise the true value of each parameter, and the black crosses denote the nodes of our Cosmology Training Set. The complete results can be seen in Fig. C.2, the marginalised posterior constraints can be seen in Table 2.