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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Băutu, A. Luchian, H. |
| Copyright Year | 2010 |
| Description | Author affiliation: Department of Mathematics and Computer Science, “Mircea cel Bătrân” Naval Academy, Constaţta, 900218, Romania (Băutu, A.) || Faculty of Computer Science, “Al. I. Cuza” University, Iaşi, 700483, Romania (Luchian, H.) |
| Abstract | Spin glasses are magnetic materials with strong disorder. Their unique properties assure them a central role in Statistical Physics, with applications that outreach many other important fields. Finding the ground state of an Ising spin glass is a highly multi-modal optimization problem, proved equivalent to the problem of finding the minimum weight cut in a graph. The states of a spin glass can be represented in terms of spins or bonds. Bond-based representations benefit from the symmetry properties of spin glasses, but require more memory due to the larger number of bonds. To tackle this issue, we introduced in our previous research a bond-based representation defined on spanning trees. A genetic algorithm (GA) using this representation (and special genetic operators) provided very good results for large problem instances (up to 125 spins). In this paper we continue this research. First, we describe how Particle Swarm Optimization (PSO) can be used to search ground states using the classical spin-based representation. Next, we present how the spanning tree representation can be used with PSO. Finally, we perform a comparative study of the performances of GAs and PSO with spin-based and bond-based representation on systems larger than before (up to 2500 spins). |
| Starting Page | 1 |
| Ending Page | 6 |
| File Size | 660662 |
| Page Count | 6 |
| File Format | |
| ISBN | 9781424469093 |
| e-ISBN | 9781424469116 |
| DOI | 10.1109/CEC.2010.5586473 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2010-07-18 |
| Publisher Place | Spain |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Glass Stationary state Optimization Magnetization Algorithm design and analysis Search problems Silicon |
| Content Type | Text |
| Resource Type | Article |
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