Landscape Statistics of the Low Autocorrelated Binary String Problem
The statistical properties of the energy landscape of the low autocorrelated binary string problem (LABSP) are studied numerically and compared with those of several classic disordered models. Using two global measures of landscape structure which have been introduced in the Simulated Annealing literature, namely, depth and difficulty, we find that the landscape of LABSP, except perhaps for a very large degeracy of the local minima energies, is qualitatively similar to some well-known landscapes such as that of the mean-field 2-spin glass model. Furthermore, we consider a mean-field approximation to the pure model proposed by Bouchaud and MŽzard (1994, J. Physique I France 4 1109) and show both analytically and numerically that it describes extremely well the statistical properties of LABSP.
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- Viviana M. de Oliveira & J. F. Fontanari & Peter F. Stadler, 1999. "Metastable States in High Order Short-Range Spin Glasses," Working Papers 99-09-062, Santa Fe Institute.
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