Physica A: Statistical Mechanics and its Applications
The ground state of the cubic spin glass with short-range interactions of Gaussian distribution
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Cited by (29)
Optimization by record dynamics
2014, Computer Physics CommunicationsCitation Excerpt :As mentioned, slow PT requires the same computational effort as RDO, while fast PT is 8 times faster than RDO. All our results lie, as expected, slightly above the thermodynamic limit of the model’s ground state energy; see the previous model discussion and the original Refs. [23–25]. Similarly to simulated annealing (SA), record dynamics optimization is a ‘thermal’ optimization heuristics based on local search and on the Metropolis acceptance rule.
The ground state energy of the Edwards-Anderson spin glass model with a parallel tempering Monte Carlo algorithm
2009, Physica A: Statistical Mechanics and its ApplicationsOptimizing at the ergodic edge
2006, Physica A: Statistical Mechanics and its ApplicationsCitation Excerpt :Many situations in physics and beyond require the solution of NP-hard optimization problems, for which the typical time needed to ascertain the exact solution apparently grows faster than any power of the system size [1]. Examples in the sciences are the determination of ground states for disordered magnets [2–7] or of optimal arrangements of atoms in a compound [8] or a polymer [9–11]. With the advent of ever faster computers, the exact study of such problems has become feasible [12,13].
Hysteretic optimization for the Sherrington-Kirkpatrick spin glass
2006, Physica A: Statistical Mechanics and its ApplicationsCitation Excerpt :Hysteretic optimization is not really effective for magnetic systems of low connectivity. It does find very low lying states, but even our best attempts [3] were unable to locate the true ground state of Edwards–Anderson spin glasses of sizes that can be handled reliably and often even easily by some other algorithms [6–13]. The method is also not effective for the random field Ising model [14].
Hysteretic optimization, faster and simpler
2006, Physica A: Statistical Mechanics and its ApplicationsLocal field distributions in spin glasses
2008, Journal of Physics A: Mathematical and Theoretical