Convergence detection for optimization algorithms

作者: Gabriel Haeser , Vinícius V. de Melo

DOI: 10.1016/J.ORL.2015.06.009

关键词:

摘要: In this paper we investigate how to efficiently apply Approximate-Karush-Kuhn-Tucker proximity measures as stopping criteria for optimization algorithms that do not generate approximations Lagrange multipliers. We prove the KKT error measurement tends zero when approaching a solution and develop simple model compute measure requiring only of non-negative linear least squares problem. Our numerical experiments on Genetic Algorithm show efficiency strategy.

参考文章(18)
Rupesh Tulshyan, Ramnik Arora, Kalyanmoy Deb, Joydeep Dutta, None, Investigating EA solutions for approximate KKT conditions in smooth problems genetic and evolutionary computation conference. pp. 689- 696 ,(2010) , 10.1145/1830483.1830609
Hsinghua Chou, G. Premkumar, Chao-Hsien Chu, Genetic algorithms for communications network design - an empirical study of the factors that influence performance IEEE Transactions on Evolutionary Computation. ,vol. 5, pp. 236- 249 ,(2001) , 10.1109/4235.930313
Dimitri Bertsekas, Nonlinear Programming ,(1995)
David E. Goldberg, Genetic algorithms in search, optimization and machine learning Reading: Addison-Wesley. ,(1989)
Nicholas I. M. Gould, Philippe L. Toint, Andrew R. Conn, Trust Region Methods ,(1987)
R. Andreani, E. G. Birgin, J. M. Martínez, M. L. Schuverdt, On Augmented Lagrangian Methods with General Lower-Level Constraints Siam Journal on Optimization. ,vol. 18, pp. 1286- 1309 ,(2007) , 10.1137/060654797
Joaquim J. Júdice, Luís F. Portugal, Luís N. Vicente, A comparison of block pivoting and interior-point algorithms for linear least squares problems with nonnegative variables Mathematics of Computation. ,vol. 63, pp. 625- 643 ,(1994) , 10.2307/2153286
Rachid Chelouah, Patrick Siarry, Genetic and Nelder–Mead algorithms hybridized for a more accurate global optimization of continuous multiminima functions European Journal of Operational Research. ,vol. 148, pp. 335- 348 ,(2003) , 10.1016/S0377-2217(02)00401-0
Dervis Karaboga, Bahriye Akay, A modified Artificial Bee Colony (ABC) algorithm for constrained optimization problems soft computing. ,vol. 11, pp. 3021- 3031 ,(2011) , 10.1016/J.ASOC.2010.12.001
ViníCius V De Melo, Grazieli LC Carosio, None, Investigating Multi-View Differential Evolution for solving constrained engineering design problems Expert Systems With Applications. ,vol. 40, pp. 3370- 3377 ,(2013) , 10.1016/J.ESWA.2012.12.045