Statistical estimation of the number of minima in a function with a finite number of variables
- 15 February 1986
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 33 (4) , 2848-2850
- https://doi.org/10.1103/physrevb.33.2848
Abstract
The statistical estimate of the number of local minima in an energy function obtained by a finite random sampling, due to Walker and Walstedt (WW), is clarified. In particular, it is found that an additional assumption, of the Bayesian type, seems to be needed, and the consequences are discussed in some detail. The relaxation of the explicit assumption of WW, that each minimum has equal a priori probability of being sampled, is discussed briefly.Keywords
This publication has 7 references indexed in Scilit:
- Computational complexity of the ground-state determination of atomic clustersJournal of Physics A: General Physics, 1985
- Packing Structures and Transitions in Liquids and SolidsScience, 1984
- Computer studies of RKKY spin glassesJournal of Magnetism and Magnetic Materials, 1983
- Morphology and statistical statics of simple microclustersAdvances in Physics, 1983
- Metastable states, internal field distributions and magnetic excitations in spin glassesJournal of Physics C: Solid State Physics, 1981
- Nonexistence of metastable states in a one-dimensional Heisenberg model spin-glassPhysical Review B, 1981
- Computer model of metallic spin-glassesPhysical Review B, 1980