Figure 2.

Schematic illustration of the three heuristic pairing optimization algorithms tested in the simulation. Case (i) (blue) applies the combining algorithm directly to the ground-truth compatibility matrix $C^g$. Case (ii) (red) first applies the observation algorithm to obtain an estimated compatibility matrix $C^{e_1}$, followed by the combining algorithm. Case (iii) (yellow) first estimates the compatibility from observation ($C^{e_1}$), followed by the variance optimization ($C^{e_2}$), and then executes the combining algorithm.