A Comparison of Extremal Optimization with Flat-Histogram and Equal-Hit Dynamics for Finding Spin–Glass Ground States

We compare the performance of extremal optimization (EO), flat-histogram and equal-hit algorithms for finding spin–glass ground states. The first-passage-times to a ground state are computed. At optimal parameter of τ=1.15, EO outperforms other methods for small system sizes, but equal-hit algorithm is competitive to EO, particularly for large systems. Flat-histogram and equal-hit algorithms offer additional advantage that they can be used for equilibrium thermodynamic calculations. We also propose a method to turn EO into a useful algorithm for equilibrium calculations.

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