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Volumn 23, Issue 1, 2013, Pages 27-53

Derivative-free optimization of expensive functions with computational error using weighted regression

Author keywords

Derivative free optimization; Noisy function evaluations; Weighted regression models

Indexed keywords

BENCH-MARK PROBLEMS; COMPUTATIONAL ERROR; COMPUTATIONAL RESULTS; DERIVATIVE-FREE ALGORITHM; DERIVATIVE-FREE OPTIMIZATION; EXPENSIVE FUNCTION; NON-DIFFERENTIABLE FUNCTIONS; WEIGHTED REGRESSION;

EID: 84877763469     PISSN: 10526234     EISSN: None     Source Type: Journal    
DOI: 10.1137/100814688     Document Type: Article
Times cited : (31)

References (27)
  • 1
    • 0035238776 scopus 로고    scopus 로고
    • A direct search alg orithm for optimization with noisy function evaluations
    • E. J. Anderson and M. C. Ferris, A direct search alg orithm for optimization with noisy function evaluations, SIAM J. Optim., 11 (2001), pp. 837-857.
    • (2001) SIAM J. Optim. , vol.11 , pp. 837-857
    • Anderson, E.J.1    Ferris, M.C.2
  • 3
    • 0242609515 scopus 로고    scopus 로고
    • Recent progress in unconstrained nonlinear optimization without derivatives
    • A. R. Conn, K. Scheinberg, and P. L. Toint, Recent progress in unconstrained nonlinear optimization without derivatives, Math. Program., 79 (1997), pp. 397-414.
    • (1997) Math. Program. , vol.79 , pp. 397-414
    • Conn, A.R.1    Scheinberg, K.2    Toint, P.L.3
  • 4
    • 34347204540 scopus 로고    scopus 로고
    • Geometry ofinterpolationsets in derivative- free optimization
    • A. R. Conn, K. Scheinberg, and L. N. Vicente, Geometry ofinterpolationsets in derivative- free optimization, Math. Program., 111 (2008), pp. 141-172.
    • (2008) Math. Program. , vol.111 , pp. 141-172
    • Conn, A.R.1    Scheinberg, K.2    Vicente, L.N.3
  • 5
    • 55849149812 scopus 로고    scopus 로고
    • Geometry ofsample sets in derivative free optimization: Polynomial regression and underdetermined interpolation
    • A. R. Conn, K. Scheinberg, and L. N. Vicente, Geometry ofsample sets in derivative free optimization: Polynomial regression and underdetermined interpolation, IMA J. Numer. Anal., 28 (2008), pp. 721-748.
    • (2008) IMA J. Numer. Anal. , vol.28 , pp. 721-748
    • Conn, A.R.1    Scheinberg, K.2    Vicente, L.N.3
  • 6
    • 70450200040 scopus 로고    scopus 로고
    • Global convergence of general derivative- free trust-region algorithms to first- and second-order critical points
    • A. R. Conn, K. Scheinberg, and L. N. Vicente, Global convergence of general derivative- free trust-region algorithms to first- and second-order critical points, SIAM J. Optim., 20 (2009), pp. 387-415.
    • (2009) SIAM J. Optim. , vol.20 , pp. 387-415
    • Conn, A.R.1    Scheinberg, K.2    Vicente, L.N.3
  • 7
    • 67650355939 scopus 로고    scopus 로고
    • Introduction to derivative-free optimiza- tion MPS
    • SIAM, Philadelphia
    • A. R. Conn, K. Scheinberg, and L. N. Vicente, Introduction to Derivative-Free Optimiza- tion, MPS/SIAM Ser. Optim., SIAM, Philadelphia, 2009.
    • (2009) SIAM Ser. Optim.
    • Conn, A.R.1    Scheinberg, K.2    Vicente, L.N.3
  • 8
    • 77954761405 scopus 로고    scopus 로고
    • Incorporating minimum Frobenius norm models in direct search
    • A. L. Custódio, H. Rocha, and L. N. Vicente, Incorporating minimum Frobenius norm models in direct search, Comput. Optim. Appl., 46 (2010), pp. 265-278.
    • (2010) Comput. Optim. Appl. , vol.46 , pp. 265-278
    • Custódio, A.L.1    Rocha, H.2    Vicente, L.N.3
  • 10
    • 49749106635 scopus 로고    scopus 로고
    • Extension of the direct optimization algorithm for noisy functions
    • Washington, DC
    • G. Deng and M. C. Ferris, Extension of the direct optimization algorithm for noisy functions, in Proceedings of the Winter Simulation Conference, Washington, DC, 2007, pp. 497-504.
    • (2007) Proceedings of the Winter Simulation Conference , pp. 497-504
    • Deng, G.1    Ferris, M.C.2
  • 11
    • 28244496090 scopus 로고    scopus 로고
    • Benchmarking optimization software withperformance profiles
    • E. D. Dolan and J. J. Moŕe, Benchmarking optimization software withperformance profiles, Math. Program., 91 (2001), pp. 201-213.
    • (2001) Math. Program. , vol.91 , pp. 201-213
    • Dolan, E.D.1    Moŕe, J.J.2
  • 13
    • 2442598318 scopus 로고    scopus 로고
    • CUTEr and SifDec: A constrained and uncon- strained testing environment, revisited
    • N. I. M. Gould, D. Orban, and P. L. Toint, CUTEr and SifDec: A constrained and uncon- strained testing environment, revisited, ACM Trans. Math. Software, 29 (2003), pp. 373- 394.
    • (2003) ACM Trans. Math. Software , vol.29 , pp. 373-394
    • Gould, N.I.M.1    Orban, D.2    Toint, P.L.3
  • 14
    • 84887534277 scopus 로고    scopus 로고
    • A surrogate management framework using rigorous trust- region steps
    • doi: 10.1080/10556788.2012.719508
    • S. Gratton and L. N. Vicente, A Surrogate Management Framework Using Rigorous Trust- Region Steps, Optim. Methods Softw., pp. 1-14. doi: 10.1080/10556788.2012.719508. URL: http://www.tandfonline.com/doi/abs/10.1080/ 10556788.2012.719508
    • Optim. Methods Softw. , pp. 1-14
    • Gratton, S.1    Vicente, L.N.2
  • 16
    • 48849107878 scopus 로고    scopus 로고
    • SNOBFIT stable noisy optimization by branch and fit
    • W. Huyer and A. Neumaier, SNOBFIT stable noisy optimization by branch and fit, ACM Trans. Math. Software, 35 (2008), pp. 1-25.
    • (2008) ACM Trans. Math. Software , vol.35 , pp. 1-25
    • Huyer, W.1    Neumaier, A.2
  • 17
    • 0027678534 scopus 로고
    • Lipschitzian optimization without the Lipschitz constant
    • D. R. Jones, C. D. Perttunen, and B. E. Stuckman, Lipschitzian optimization without the Lipschitz constant, J. Optim. Theory Appl., 79 (1993), pp. 157-181.
    • (1993) J. Optim. Theory Appl. , vol.79 , pp. 157-181
    • Jones, D.R.1    Perttunen, C.D.2    Stuckman, B.E.3
  • 18
    • 0033274347 scopus 로고    scopus 로고
    • Detection and remediation of stagnation in the Nelder-Mead algorithm using a sufficient decrease condition
    • C. T. Kelley, Detection and remediation of stagnation in the Nelder-Mead algorithm using a sufficient decrease condition, SIAM J. Optim., 10 (1999), pp. 43-55.
    • (1999) SIAM J. Optim. , vol.10 , pp. 43-55
    • Kelley, C.T.1
  • 19
    • 0037230473 scopus 로고    scopus 로고
    • The common optimization interface for operations research: Promoting open-source software in the operations research community
    • R. Lougee-Heimer, The Common Optimization Interface for Operations Research: Promoting open-source software in the operations research community, IBM Journal of Research and Development, 47 (2003), pp. 57-66.
    • (2003) IBM Journal of Research and Development , vol.47 , pp. 57-66
    • Lougee-Heimer, R.1
  • 21
    • 68949099095 scopus 로고    scopus 로고
    • Benchmarking derivative-free optimization algorithms
    • J. J. Moŕe and S. M. Wild, Benchmarking derivative-free optimization algorithms, SIAM J. Optim., 20 (2009), pp. 172-191.
    • (2009) SIAM J. Optim. , vol.20 , pp. 172-191
    • Moŕe, J.J.1    Wild, S.M.2
  • 22
    • 0000238336 scopus 로고
    • A simplex method for function minimization
    • J. A. Nelder and R. Mead, A simplex method for function minimization, Computer Journal, 7 (1965), pp. 308-313.
    • (1965) Computer Journal , vol.7 , pp. 308-313
    • Nelder, J.A.1    Mead, R.2
  • 23
    • 0041711007 scopus 로고    scopus 로고
    • UOBYQA: Unconstrained optimization by quadratic approximation
    • M. J. D. Powell, UOBYQA: Unconstrained optimization by quadratic approximation, Math. Program., 92 (2002), pp. 555-582.
    • (2002) Math. Program. , vol.92 , pp. 555-582
    • Powell, M.J.D.1
  • 24
    • 55849131864 scopus 로고    scopus 로고
    • Developments of NEWUOA for minimization without derivatives
    • M. J. D. Powell, Developments of NEWUOA for minimization without derivatives, IMA Journal on Numerical Analysis, 28 (2008), pp. 649-664.
    • (2008) IMA Journal on Numerical Analysis , vol.28 , pp. 649-664
    • Powell, M.J.D.1
  • 27
    • 0037856577 scopus 로고
    • Springer-Verlag, New York
    • F. Zhang, Matrix Theory, Springer-Verlag, New York, 1991.
    • (1991) Matrix Theory
    • Zhang, F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.