ANNs are used routinely in experiments for both online triggers and offline data analysis due to an increased complexity of the data and the physics processes investigated. Both the DIRAC [@Webpage:DIRAC] and the H1 [@Webpage:H1] experiments used ANNs for triggers. For offline data analysis, ANNs were used or tested for a variety of tasks, such as track and vertex reconstruction (DELPHI experiment [@FRUHWIRTH:1993]), particle identification and discrimination (decay of the $Z^0$ boson [@ABREU:1992]), calorimeter energy estimation and jet tagging. Tevatron experiments used ANNs for the direct measurement of the top quark mass [@ABACHI:1997] or leptoquark searches [@ABBOTT:1997]. In terms of types of ANNs, the vast majority of applications in nuclear physics and high-energy physics were based on *feed-forward* ANNs, other types of ANNs remaining almost unexplored. An exception is the DELPHI experiment, which used a recurrent ANN for tracking reconstruction [@FRUHWIRTH:1993]. This research presents results for two very different physical observables for $^6\mathrm{Li}$, gs energy and gs point proton rms radius, produced with the *feed-forward* ANN method. Theoretical data for $^6\mathrm{Li}$ are available from the ab initio NCSM calculations with the MFDn code using the Daejeon16 NN interaction and HO basis spaces up through the cutoff $N_{\rm max} = 18$. 