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Optimization with Extremal Dynamics
Open accessAbstract
We explore a new general-purpose heuristic for finding high-quality solutions to hard discrete optimization problems. The method, called extremal optimization, is inspired by self-organized criticality, a concept introduced to describe emergent complexity in physical systems. Extremal optimization successively updates extremely undesirable variables of a single suboptimal solution, assigning them new, random values. Large fluctuations ensue, efficiently exploring many local optima. We use extremal optimization to elucidate the phase transition in the 3-coloring problem, and we provide independent confirmation of previously reported extrapolations for the ground-state energy of +/-J spin glasses in d = 3 and 4.
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Cites
Spin Glass Theory and Beyond: An Introduction to the Replica Method and Its Applications
Mezard, M., Parisi, G., & Virasoro, M. (1986) · World Scientific Lecture Notes in Physics · doi:10.1142/0271 · Cited by 3,653
Cited by
Fortunato, S. (2010) · Physics Reports · doi:10.1016/j.physrep.2009.11.002 · Cited by 11,293
Community detection in networks: A multidisciplinary review
Javed, M. A., Younis, M. S., Latif, S., Qadir, J., & Baig, A. (2018) · Journal of Network and Computer Applications · doi:10.1016/j.jnca.2018.02.011 · Cited by 499
Detecting multiple communities using quantum annealing on the D-Wave system
Negre, C. F. A., Ushijima-Mwesigwa, H., & Mniszewski, S. M. (2020) · PLOS ONE · doi:10.1371/journal.pone.0227538 · Cited by 80
Optimization by Self-Organized Criticality
Hoffmann, H., & Payton, D. W. (2018) · Scientific Reports · doi:10.1038/s41598-018-20275-7 · Cited by 65
Metadata
- Authors
- Boettcher, S., & Percus, A. G.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2001-06-04
- Volume
- 86
- Issue
- 23
- Pages
- 5211-5214
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2963332217
- Cited by
- 342
- References
- 1
- FWCI
- 7.98
- Type
- journal article
- Language
- en
- Open access
- green
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