The NN training data for the LS mixing task in Sec. IV consist of configurations of single black-white initial conditions (like 𝑁 = 0 in Fig. ) and the left-to-right specified LS method descendants thereof (1 ≤ 𝑁 ≤ 31 of which an example for 1 ≤ 𝑁 ≤ 15 is shown in Fig. ) as well as the corresponding LS cut locations for all of these configurations. The single black-white initial conditions are specified by a distribution of values for 0 < 𝑏 < 1, the fraction of the domain that is black. For this study, we use four different sets of initial conditions and their descendants as training data. Three of the training datasets are based on 𝑇 = 100, 1 000, or 10 000 initial conditions with values for 𝑏 distributed evenly between 0 and 1 as {𝑡∆𝑏 + Δ𝑏 2 : 0 ≤ 𝑡 < 𝑇, ∆𝑏 = 1 𝑇 } and the LS method descendants of these initial conditions (31 descendants for each initial condition). The fourth training dataset consists of 1 000 initial conditions with randomly sam-pled values for 𝑏 between 0 and 1 and the LS method descendants of these initial conditions.