Fig. 2: Performance comparison between different methods to incorporate external fields for SK Hamiltonians with random external fields.
From: Incorporating external fields in analog Ising machines
Comparison of the time-to-solution (TTS) for SK Hamiltonians solved using the spin sign method (Eq. (8)) compared to the three alternative approaches: a the original external fields (Eq. (3)), b the auxiliary spin method (Eq. (7)) and c the mean absolute spin method (Eq. (6)). Dots in the grey area on the right denote combinatorial optimization problems (COPs) that could be solved by the spin sign method within the allocated compute time of \({t}_{\max }=1{0}^{4}\), but not by the method on the x-axis (TTS = ∞, SR = 0). The spin sign method can solve more problems within the allocated time than the other methods, and it generally requires less time to do so.
