Levy flights, non-local search and simulated annealing

被引:416
作者
Pavlyukevich, Ilya [1 ]
机构
[1] Humboldt Univ, Dept Math, D-12489 Berlin, Germany
关键词
Levy flights; simulated annealing; non-local search; heavy-tails; variable stability index; stable-like process; global optimisation;
D O I
10.1016/j.jcp.2007.06.008
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
We solve a problem of non-convex stochastic optimisation with help of simulated annealing of Levy flights of a variable stability index. The search of the ground state of an unknown potential is non-local due to big jumps of the Levy flights process. The convergence to the ground state is fast due to a polynomial decrease rate of the temperature. (c) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码:1830 / 1844
页数:15
相关论文
共 30 条
[1]   GLOBAL OPTIMIZATION AND STOCHASTIC DIFFERENTIAL-EQUATIONS [J].
ALUFFIPENTINI, F ;
PARISI, V ;
ZIRILLI, F .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1985, 47 (01) :1-16
[2]  
Applebaum D., 2004, LEVY PROCESSES STOCH
[3]   Levy flights in external force fields: from models to equations [J].
Brockmann, D ;
Sokolov, IM .
CHEMICAL PHYSICS, 2002, 284 (1-2) :409-421
[4]   Barrier crossing driven by Levy noise: Universality and the role of noise intensity [J].
Chechkin, Aleksei V. ;
Sliusarenko, Oleksii Yu. ;
Metzler, Ralf ;
Klafter, Joseph .
PHYSICAL REVIEW E, 2007, 75 (04)
[5]   Levy flights in a steep potential well [J].
Chechkin, AV ;
Gonchar, VY ;
Klafter, J ;
Metzler, R ;
Tanatarov, LV .
JOURNAL OF STATISTICAL PHYSICS, 2004, 115 (5-6) :1505-1535
[6]   DIFFUSION FOR GLOBAL OPTIMIZATION IN RN [J].
CHIANG, TS ;
HWANG, CR ;
SHEU, SJ .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1987, 25 (03) :737-753
[7]  
Cont R, 2004, FINANCIAL MODELLING
[8]   METROPOLIS-TYPE ANNEALING ALGORITHMS FOR GLOBAL OPTIMIZATION IN RD [J].
GELFAND, SB ;
MITTER, SK .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1993, 31 (01) :111-131
[9]   DIFFUSIONS FOR GLOBAL OPTIMIZATION [J].
GEMAN, S ;
HWANG, CR .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1986, 24 (05) :1031-1043
[10]  
GIDAS B, 1985, GLOBAL OPTIMIZATION