DOI: 10.1007/s00158-009-0420-2. Survey of modeling and optimization strategies to solve high-dimensional design problems with computationally-expensive black-box functions

Survey of modeling and optimization strategies to solve high-dimensional design problems with computationally-expensive black-box functions

10.1007/s00158-009-0420-2

Crossref journal-article

Springer Science and Business Media LLC

Structural and Multidisciplinary Optimization (297)

Bibliography

Shan, S., & Wang, G. G. (2009). Survey of modeling and optimization strategies to solve high-dimensional design problems with computationally-expensive black-box functions. Structural and Multidisciplinary Optimization, 41(2), 219â241.

Authors 2

Songqing Shan (first)
G. Gary Wang (additional)

References 206 Referenced 476

Ahn K-H, Chung WK (2002) Optimization with joint space reduction and extension induced by kinematic limits for redundant manipulators. In: Proceedings of the 2002 IEEE international conference on robotics & automation, Washington DC, 11–15 May
Alexandrov N, Alter SJ, Atkins HL, Bey KS, Bibb KL, Biedron RT (2002) Opportunities for breakthroughs in large-scale computational simulation and design: NASA/TM-2002-211747
Altus SS, Kroo IM, Gage PJ (1996) A genetic algorithm for scheduling and decomposition of multidisciplinary design problems. ASME J Mech Des 118:486–489 (10.1115/1.2826916) / ASME J Mech Des by SS Altus (1996)
An J, Owen A (2001) Quasi-regression. J Complex 17(4):588–607 (10.1006/jcom.2001.0588) / J Complex by J An (2001)
Andrews DWK, Whang Y-J (1990) Additive interactive regression models: circumvention of the curse of dimensionality. Econ Theory 6:466–479 (10.1017/S0266466600005478) / Econ Theory by DWK Andrews (1990)
Apley DW, Liu J, Chen W (2006) Understanding the effects of model uncertainty in robust design with computer experiments. ASME J Mech Des 128:945–958 (10.1115/1.2204974) / ASME J Mech Des by DW Apley (2006)
Arora JS, Elwakeil OA, Chahande AI (1995) Global optimization methods for engineering applications: a review. Struct Optim 9:137–159 (10.1007/BF01743964) / Struct Optim by JS Arora (1995)
Audet C, Dennis JEJ (2004) A pattern search filter method for nonlinear programming without derivatives. SIAM J Optim 14(4):980–1010 (10.1137/S105262340138983X) / SIAM J Optim by C Audet (2004)
Bakr MH, Bandler JW, Biernacki RM, Chen SHS, Madsen K (1998) A trust region aggressive space mapping algorithm for EM Optimization. IEEE Trans Microwave Theor Tech 46(12):2412–2425 (10.1109/22.739229) / IEEE Trans Microwave Theor Tech by MH Bakr (1998)
Bakr MH, Bandler JW, Georgieva N (1999a) An aggressive approach to parameter extraction. IEEE Trans Microwave Theor Tech 47(12):2428–2439 (10.1109/22.808990) / IEEE Trans Microwave Theor Tech by MH Bakr (1999)
Bakr MH, Bandler JW, Georgieva N, Madsen K (1999b) A hybrid aggressive space-mapping algorithm for EM optimization. IEEE Trans Microwave Theor Tech 47(12):2440–2449 (10.1109/22.808991) / IEEE Trans Microwave Theor Tech by MH Bakr (1999)
Bakr MH, Bandler JW, Madsen K, ErnestoRayas-Sanchez J, Sondergaard J (2000a) Space-mapping optimization of microwave circuits exploiting surrogate models. IEEE Trans Microwave Theor Tech 48(12):2297–2306 (10.1109/22.898978) / IEEE Trans Microwave Theor Tech by MH Bakr (2000)
Bakr MH, Bandler JW, Madsen K, Sondergaard J (2000b) Review of the space mapping approach to engineering optimization and modeling. J Optim Eng 1:241–276 (10.1023/A:1010000106286) / J Optim Eng by MH Bakr (2000)
Bandler JW, Biernacki RM, Chen SH, Grobelny PA, Hemmers RH (1994) Space mapping technique for electromagnetic optimization. IEEE Trans Microwave Theor Tech 42(12):2536–2544 (10.1109/22.339794) / IEEE Trans Microwave Theor Tech by JW Bandler (1994)
Bandler JW, Bienacki RM, Chen SH, Hemmers RH, Madsen K (1995a) Electromagnetic optimization exploiting aggressive space mapping. IEEE Trans Microwave Theor Tech 43(12):2874–2882 (10.1109/22.475649) / IEEE Trans Microwave Theor Tech by JW Bandler (1995)
Bandler JW, Biernacki RM, Chen SH, Hemmers RH, Madsen K (1995b) Aggressive space mapping for electromagnetic design. In: IEEE MTT-S int. microwave symp. dig., Orlando, FL, 16–20 May (10.1109/MWSYM.1995.406247)
Bandler JW, Cheng QS, Dakroury SA, Mohamed AS, Bakr MH, Madsen K (2004) Space mapping: the state of the art. IEEE Trans Microwave Theor Tech 52(1):337–361 (10.1109/TMTT.2003.820904) / IEEE Trans Microwave Theor Tech by JW Bandler (2004)
Banerjee I, Ierapetritou MG (2002) Design optimization under parameter uncertainty for general black-box models. Ind Eng Chem Res 41:6687–6697 (10.1021/ie0202726) / Ind Eng Chem Res by I Banerjee (2002)
Barry D (1986) Nonparametric Bayesian regression. Ann Stat 14(3):934–953 (10.1214/aos/1176350043) / Ann Stat by D Barry (1986)
Bartholomew-Biggs MC, Parkhurst SC, Wilson SP (2003) Global optimization—stochastic or deterministic? Stochastic algorithms: foundations and applications, vol 2827/2003. Springer, Berlin, pp 125–137 / Global optimization—stochastic or deterministic? / Stochastic algorithms: foundations and applications by MC Bartholomew-Biggs (2003)
Bates RA, Buck RJ, Riccomagno E, Wynn HP (1996) Experimental design and observation for large systems. J R Stat Soc B 58(1):77–94 (10.1111/j.2517-6161.1996.tb02068.x) / J R Stat Soc B by RA Bates (1996)
Björkman M, Holmström K (1999) Global optimization using the DIRECT algorithm in Matlab. Adv Model Optim 1(2):17–37 / Adv Model Optim by M Björkman (1999)
Booker AJ, Dennis JEJ, Frank PD, Serafini DB, Torczon V, Trosset MW (1999) A rigorous framework for optimization of expensive functions by surrogates. Struct Optim 17(1):1–13 (10.1007/BF01197708) / Struct Optim by AJ Booker (1999)
Bose RC, Bush KA (1952) Orthogonal arrays of strength two and three. Ann Math Stat 23(4):508–524 (10.1214/aoms/1177729331) / Ann Math Stat by RC Bose (1952)
Box GEP (1957) Evolutionary operation: a method for increasing industrial productivity. Appl Stat 6:81–101 (10.2307/2985505) / Appl Stat by GEP Box (1957)
Brand M (2003) Continuous nonlinear dimensionality reduction by kernel eigenmaps. http://www.merl.com/papers/docs/TR2003-21.pdf . Accessed 8 August 2008
Browning TR (2001) Applying the design structure matrix to system decomposition and integration problems: a review and new directions. IEEE Trans Eng Manage 48(3):292–306 (10.1109/17.946528) / IEEE Trans Eng Manage by TR Browning (2001)
Byrd RH, Schnabel RB, Shults GA (1987) A trust region algorithm for nonlinearly constrained optimization. SIAM J Numer Anal 24(5):1152–1170 (10.1137/0724076) / SIAM J Numer Anal by RH Byrd (1987)
Celis MR, Dennis JEJ, Tapia RA (1984) A trust region strategy for nonlinear equality constrained optimization. In: Boggs PT, Byrd RH, Schnable RB (eds) Numerical optimization. Society for Industrial and Applied Mathematics, Philadelphia, pp 71–82 / Numerical optimization by MR Celis (1984)
Chaloner K, Verdinelli I (1995) Bayesian experimental design: a review. Stat Sci 10(3):273–304 (10.1214/ss/1177009939) / Stat Sci by K Chaloner (1995)
Chan TF, Golub GH, LeVeque RJ (1983) Algorithms for computing the sample variance: analysis and recommendations. The American Statistician 37(3):242–247 (10.1080/00031305.1983.10483115) / The American Statistician by TF Chan (1983)
Chan TF, Cong J, Kong T, Shinnerl JR (2000) Multilevel optimization for large-scale circuit placement. In: Proceedings of the 2000 IEEE/ACM international conference on computer-aided design, San Jose, California, 5–9 November (10.1109/ICCAD.2000.896469)
Chen Z (1991) Interaction spline models and their convergence rates. Ann Stat 19(4):1855–1868 (10.1214/aos/1176348374) / Ann Stat by Z Chen (1991)
Chen Z (1993) Fitting multivariate regression functions by interaction spline models. J R Stat Soc 55(2):473–491 (10.1111/j.2517-6161.1993.tb01917.x) / J R Stat Soc by Z Chen (1993)
Chen L, Li S (2005) Analysis of decomposability and complexity for design problems in the context of decomposition. ASME J Mech Des 127:545–557 (10.1115/1.1897405) / ASME J Mech Des by L Chen (2005)
Chen D-Z, Liu C-P (1999) A hierarchical decomposition scheme for the topological synthesis of articulated gear mechanisms. ASME J Mech Des 121:256–263 (10.1115/1.2829452) / ASME J Mech Des by D-Z Chen (1999)
Chen W, Allen JK, Mavris DN, Mistree R (1996) A concept exploration method for determining robust top-level specifications. Eng Optim 26(2):137–158 (10.1080/03052159608941114) / Eng Optim by W Chen (1996)
Chen VCP, Ruppert D, Shoemaker CA (1999) Applying experimental design and regression splines to high-dimensional continuous state stochastic dynamic programming. Oper Res 47(1):38–53 (10.1287/opre.47.1.38) / Oper Res by VCP Chen (1999)
Chen VCP, Tsui K-L, Barton RR, Allen JK (2003) A review of design and modeling in computer experiments. Handb Stat 22:231–261 (10.1016/S0169-7161(03)22009-5) / Handb Stat by VCP Chen (2003)
Chen L, Ding Z, Li S (2005a) A formal two-phase method for decomposition of complex design problems. ASME J Mech Des 127:184–195 (10.1115/1.1778186) / ASME J Mech Des by L Chen (2005)
Chen L, Ding Z, Li S (2005b) Tree-based dependency analysis in decomposition and re-decomposition of complex design problems. ASME J Mech Des 127:12–23 (10.1115/1.1778185) / ASME J Mech Des by L Chen (2005)
Chen VCP, Tsui K-L, Barton RR, Meckesheimer M (2006) A review on design, modeling and applications of computer experiments. IIE Trans 38:273–291 (10.1080/07408170500232495) / IIE Trans by VCP Chen (2006)
Collobert R, Bengio S (2001) SVMTorch: support vector machines for large-scale regression problems. J Mach Learn Res 1:143–160 / J Mach Learn Res by R Collobert (2001)
Crary SB (2002) Design of computer experiments for metamodel generation. Analog Integr Circuits Signal Process 32:7–16 (10.1023/A:1016063422605) / Analog Integr Circuits Signal Process by SB Crary (2002)
Currin C, Mitchell T, Morris M, Ylvisaker D (1988) A Bayesian approach to the design and analysis of computer experiments. Technical report 6498, Oak Ridge National Laboratory
Currin C, Mitchell T, Morris M, Ylvisaker D (1991) Bayesian prediction of deterministic functions, with applications to the design and analysis of computer experiments. J Am Stat Assoc 86(416):953–963 (10.1080/01621459.1991.10475138) / J Am Stat Assoc by C Currin (1991)
Denison DGT (1997) Simulation based Bayesian nonparametric regression methods. Ph.D. thesis, Imperial College, London University, London / Simulation based Bayesian nonparametric regression methods by DGT Denison (1997)
Denison DGT (1998) Nonparametric Bayesian regression methods. In: Proceedings of the section on Bayesian statistical science. American Statistics Association. http://www.ma.ic.ac.uk/statistics/links/ralinks/dgtd.link/jsmpaper.ps . Accessed 6 Nov 2008
Ding C, He X, Zha H, Simon HD (2002) Adaptive dimension reduction for clustering high dimensional data. In: The 2002 IEEE international conference on data mining (ICDM’02), Maebashi City, Japan, 9–12 December. IEEE, pp 147–154 (10.2172/807420)
Dorigo M, Maniezzo V, Colorni A (1996) The ant system: optimization by a colony of cooperating agents. IEEE Trans Sys Man Cyber B 26:29–41 (10.1109/3477.484436) / IEEE Trans Sys Man Cyber B by M Dorigo (1996)
Dunteman GH (1989) Principal components analysis. Sage, London (10.4135/9781412985475) / Principal components analysis by GH Dunteman (1989)
Eldred MS, Hart WE, Schimel BD, Waanders BGVB (2000) Multilevel parallelism for optimization on MP computers: theory and experiment. In: Proceedings of the 8th AIAA/USAF/NASA/ISSMO symposium on multidisciplinary analysis and optimization, Long Beach, CA, September, AIAA-2000-4818 (10.2514/6.2000-4818)
Eldred MS, Giunta AA, Waanders BGB (2004) Multilevel parallel optimization using massively parallel structural dynamics. Struct Multidisc Optim 27(1–2):97–109 (10.1007/s00158-003-0371-y) / Struct Multidisc Optim by MS Eldred (2004)
Fadel GM, Cimtalay S (1993) Automatic evaluation of move-limits in structural optimization. Struct Optim 6:233–237 (10.1007/BF01743381) / Struct Optim by GM Fadel (1993)
Fadel GM, Riley MF, Barthelemy JM (1990) Two points exponential approximation method for structural optimization. Struct Multidisc Optim 2:117–124 (10.1007/BF01745459) / Struct Multidisc Optim by GM Fadel (1990)
Fang H, Horstemeyer MF (2006) Global response approximation with radial basis functions. J Eng Optim 38(4):407–424 (10.1080/03052150500422294) / J Eng Optim by H Fang (2006)
Ford I, Titterington DM, Kitsos CP (1989) Recent advances in nonlinear experimental design. Technometrics 31(1):49–60 (10.1080/00401706.1989.10488475) / Technometrics by I Ford (1989)
Friedman JH (1991) Multivariate adaptive regressive splines. Ann Stat 19(1):1–67 (10.1214/aos/1176347963) / Ann Stat by JH Friedman (1991)
Friedman JH, Silverman BW (1989) Flexible parsimonious smoothing and additive modeling. Technometrics 31(1):3–21 (10.1080/00401706.1989.10488470) / Technometrics by JH Friedman (1989)
Friedman JH, Stuetzle W (1981) Projection pursuit regression. J Am Stat Assoc 76(372):817–823 (10.1080/01621459.1981.10477729) / J Am Stat Assoc by JH Friedman (1981)
Goldberg DE (1989) Genetic algorithms in search, optimization and machine learning. Addison-Wesley, Boston / Genetic algorithms in search, optimization and machine learning by DE Goldberg (1989)
Griensven AV et al (2006) A global sensitivity analysis tool for the parameters of multi-variable catchment models. J Hydrol 324:10–23 (10.1016/j.jhydrol.2005.09.008) / J Hydrol by AV Griensven (2006)
Grignon P, Fadel GM (1994) Fuzzy move limit evaluation in structural optimization. In: The 5th AIAA/NASA/USAF/ISSMO fifth symposium on multidisciplinary analysis and optimization, Panama City, FL, 7–9 September, AIAA-94-4281
Gu L (2001) A comparison of polynomial based regression models in vehicle safety analysis. In: Proceedings of 2001 ASME design engineering technical conferences—design automation conference, Pittsburgh, PA, 9–12 September (10.1115/DETC2001/DAC-21063)
Haftka RT (1991) Combining global and local approximations. AIAA J 29(9):1523–1525 (10.2514/3.10768) / AIAA J by RT Haftka (1991)
Haftka RT, Scott EP, Cruz JR (1998) Optimization and experiments: a survey. Appl Mech Rev 51(7):435–448 (10.1115/1.3099014) / Appl Mech Rev by RT Haftka (1998)
Hamby DM (1994) A review of techniques for parameter sensitivity analysis of environmental models. Environ Monit Assess 32:135–154 (10.1007/BF00547132) / Environ Monit Assess by DM Hamby (1994)
Harada T et al (2006) Screening parameters of pulmonary and cardiovascular integrated model with sensitivity analysis. In: Proceedings of the 28th IEEE EMBS annual international conference, New York City, USA, 30 Aug–3 Sept 2006 (10.1109/IEMBS.2006.259618)
Hedayat AS, Sloane NJA, Stufken J (1999) Orthogonal arrays: theory and applications. Springer, New York (10.1007/978-1-4612-1478-6) / Orthogonal arrays: theory and applications by AS Hedayat (1999)
Hill WJ, Hunter WG (1966) A review of response surface methodology: a literature survey. Technometrics 8(4):571–590 (10.2307/1266632) / Technometrics by WJ Hill (1966)
Holland JH (1975) Adaptation in natural and artificial systems. University of Michigan Press, Ann Arbor / Adaptation in natural and artificial systems by JH Holland (1975)
Hooker G (2004) Discovering additive structure in black box functions. In: Proceedings of the tenth ACM SIGKDD international conference on knowledge discovery and data mining, Seattle, WA, USA, 22–25 August (10.1145/1014052.1014122)
Iman RL, Conover WJ (1980) Small sensitivity analysis techniques for computer models with an application to risk assessment. Commun. Stat, Theory and Methods A 9(17):1749–1842 (10.1080/03610928008827996) / Commun. Stat, Theory and Methods A by RL Iman (1980)
Jiang T, Owen AB (2002) Quasi-regression for visualization and interpretation of black box functions. Stanford University, Stanford / Quasi-regression for visualization and interpretation of black box functions by T Jiang (2002)
Jiang T, Owen AB (2003) Quasi-regression with shrinkage. Math Comput Simul 62(3-6):231–241 (10.1016/S0378-4754(02)00253-7) / Math Comput Simul by T Jiang (2003)
Jin R, Chen W, Simpson TW (2001) Comparative studies of metamodeling techniques under multiple modeling criteria. Struct Multidisc Optim 23(1):1–13 (10.1007/s00158-001-0160-4) / Struct Multidisc Optim by R Jin (2001)
Jin R, Chen W, Sudjianto A (2002) On sequential sampling for global metamodeling in engineering design. In: The ASME 2002 design engineering technical conferences and computer and information in engineering conference, Montreal, Canada, 29 September–2 October (10.1115/DETC2002/DAC-34092)
Jin R, Chen W, Sudjianto A (2004) Analytical metamodel-based global sensitivity analysis and uncertainty propagation for robust design. In: SAE 2004 world congress, Detroit, MI, USA, 8–11 March, SAE 2004-01-0429 (10.4271/2004-01-0429)
Jin R, Chen W, Sudjianto A (2005) An efficient algorithm for constructing optimal design of computer experiments. J Stat Plan Inference 134(1):268–287 (10.1016/j.jspi.2004.02.014) / J Stat Plan Inference by R Jin (2005)
John RCS, Draper NR (1975) D-Optimality for regression designs: a review. Technometrics 17(1):15–23 (10.1080/00401706.1975.10489266) / Technometrics by RCS John (1975)
Johnson ME, Moore LM, Ylvisaker D (1990) Minimax and maximin distance designs. J Stat Plan Inference 26(2):131–148 (10.1016/0378-3758(90)90122-B) / J Stat Plan Inference by ME Johnson (1990)
Jones DR, Perttunen CD, Stuckman BE (1993) Lipschitzian optimization without the Lipschitz constant. J Optim Theory Appl 79(1):157–181 (10.1007/BF00941892) / J Optim Theory Appl by DR Jones (1993)
Jones DR, Schonlau M, Welch WJ (1998) Efficient global optimization of expensive black-box functions. J Glob Optim 13:455–492 (10.1023/A:1008306431147) / J Glob Optim by DR Jones (1998)
Joseph VR, Hung Y, Sudjianto A (2006) Blind kriging: a new method for developing metamodels. http://www2.isye.gatech.edu/statistics/papers/ . Accessed 8 August 2008
Kaski S (1998) Dimensionality reduction by random mapping: fast similarity computation for clustering. In: The neural networks proceedings, 1998. IEEE world congress on computational intelligence, Anchorage, AK, USA, 4–9 May (10.1109/IJCNN.1998.682302)
Kaufman M, Balabanov V, Burgee SL, Giunta AA, Grossman B, Haftka RT et al (1996) Variable-complexity response surface approximations for wing structural weight in HSCT design. Comput Mech 18:112–126 (10.1007/BF00350530) / Comput Mech by M Kaufman (1996)
Kaya H, Kaplan M, Saygin H (2004) A recursive algorithm for finding HDMR terms for sensitivity analysis. Comput Phys Commun 158:106–112 (10.1016/j.comphy.2003.12.005) / Comput Phys Commun by H Kaya (2004)
Kennedy J, Eberhart RC (1995) Particle swarm optimization. In: Proceedings of IEEE international conference on neural networks, Perth, WA, Australia, 27 Nov 1995, pp 1942–1948 (10.1109/ICNN.1995.488968)
Kennedy MC, O’Hagan A (2001) Bayesian calibration of computer models. J R Stat Soc B 63(3):425–464 (10.1111/1467-9868.00294) / J R Stat Soc B by MC Kennedy (2001)
Kim HM, Michelena NF, Papalambros PY, Jiang T (2003) Target cascading in optimal system design. ASME J Mech Des 125:474–480 (10.1115/1.1582501) / ASME J Mech Des by HM Kim (2003)
Kirkpatrick S et al (1983) Optimization by simulated annealing. Science 220:671–680 (10.1126/science.220.4598.671) / Science by S Kirkpatrick (1983)
Koch PN, Allen JK, Mistree F, Mavris DN (1997) The problem of size in robust design. In: ASME advances in design automation (10.1115/DETC97/DAC-3983)
Koch PN, Simpson TW, Allen JK, Mistree F (1999) Statistical approximations for multidisciplinary design optimization: the problem of size. J Aircr 36(1):275–286 (10.2514/2.2435) / J Aircr by PN Koch (1999)
Koch PN, Mavris D, Mistree F (2000) Partitioned, multilevel response surfaces for modeling complex systems. AIAA J 38(5):875–881 (10.2514/2.1042) / AIAA J by PN Koch (2000)
Kodiyalam S, Sobieszczanski-Sobieski J (2000) Bilevel integrated system synthesis with response surfaces. AIAA J 38(8):1479–1485 (10.2514/2.1126) / AIAA J by S Kodiyalam (2000)
Kokkolaras M, Mourelatos ZP, Papalambros PY (2006) Design optimization of hierarchically decomposed multilevel systems under uncertainty. ASME J Mech Des 128:503–508 (10.1115/1.2168470) / ASME J Mech Des by M Kokkolaras (2006)
Krishnamachari RS, Papalambros PY (1997a) Hierarchical decomposition synthesis in optimal systems design. ASME J Mech Des 119:448–457 (10.1115/1.2826389) / ASME J Mech Des by RS Krishnamachari (1997)
Krishnamachari RS, Papalambros PY (1997b) Optimal hierarchical decomposition synthesis using integer programming. ASME J Mech Des 119:440–447 (10.1115/1.2826388) / ASME J Mech Des by RS Krishnamachari (1997)
Kusiak A, Larson N (1995) Decomposition and representation methods in mechanical design. ASME J Mech Des 117(special 50th anniversary design issue):17–24 (10.1115/1.2836453) / ASME J Mech Des by A Kusiak (1995)
Kusiak A, Szczerbicki E (1992) A formal approach to specifications in conceptual design. ASME J Mech Des 114:659–666 (10.1115/1.2917057) / ASME J Mech Des by A Kusiak (1992)
Kusiak A, Wang J (1993) Decomposition of the design process. ASME J Mech Des 115:687–693 (10.1115/1.2919255) / ASME J Mech Des by A Kusiak (1993)
Lambert TJ III, Epelman MA, Smith RL (2005) A fictitious play approach to large-scale optimization. Oper Res 53(3):477–489 (10.1287/opre.1040.0178) / Oper Res by TJ Lambert III (2005)
Leary SJ, Bhaskar A, Keane AJ (2001) A constraint mapping approach to the structural optimization of an expensive model using surrogates. J Optim Eng 2:385–398 (10.1023/A:1016038305014) / J Optim Eng by SJ Leary (2001)
Leary SJ, Bhaskar A, Keane AJ (2003) A knowledge-based approach to response surface modeling in multifidelity optimization. J Glob Optim 26:297–319 (10.1023/A:1023283917997) / J Glob Optim by SJ Leary (2003)
Leoni N, Amon CH (2000) Bayesian surrogates for integrating numerical, analytical and experimental data: application to inverse heat transfer in wearable computers. IEEE Trans Compon Packag Technol 23(1):23–32 (10.1109/6144.833038) / IEEE Trans Compon Packag Technol by N Leoni (2000)
Li S (2009) Matrix-based decomposition algorithms for engineering application: survey and generic framework. Int J Prod Dev 9:78–110 (10.1504/IJPD.2009.026175) / Int J Prod Dev by S Li (2009)
Li G, Rosenthal C, Rabitz H (2001a) High dimensional model representations. J Phys Chem A 105(33):7765–7777 (10.1021/jp010450t) / J Phys Chem A by G Li (2001)
Li G, Wang S-W, Rosenthal C, Rabitz H (2001b) High dimensional model representations generated from low dimensional data samples. I. mp-Cut-HDMR. J Math Chem 30(1):1–30 (10.1023/A:1013172329778) / J Math Chem by G Li (2001)
Li G, Hu J, Wang S-W, Georgopoulos PG, Schoendorf J, Rabitz H (2006) Random sampling-high dimensional model representation (RS-HDMR) and orthogonality of its different order component functions. J Phys Chem A 110:2474–2485 (10.1021/jp054148m) / J Phys Chem A by G Li (2006)
Lu SC-Y, Tcheng DK (1991) Building layered models to support engineering decision making: a machine learning approach. ASME J Mech Des 113:1–9 (10.1115/1.2912745) / ASME J Mech Des by SC-Y Lu (1991)
Marin FTS, Gonzalez AP (2003) Global optimization in path synthesis based on design space reduction. Mech Mach Theory 38:579–594 (10.1016/S0094-114X(03)00010-7) / Mech Mach Theory by FTS Marin (2003)
Martin JD, Simpson TW (2005) Use of kriging models to approximate deterministic computer models. AIAA J 43(4):853–863 (10.2514/1.8650) / AIAA J by JD Martin (2005)
McKay MD, Bechman RJ, Conover WJ (1979) A comparison of three methods for selecting values of input variables in the analysis of output from a computer code. Technometrics 21(2):239–245 / Technometrics by MD McKay (1979)
Meckesheimer M, Booker AJ, Barton RR, Simpson TW (2002) Computationally inexpensive metamodel assessment strategies. AIAA J 40(10):2053–2060 (10.2514/2.1538) / AIAA J by M Meckesheimer (2002)
Michelena NF, Papalambros PY (1995a) A network reliability approach to optimal decomposition of design problems. ASME J Mech Des 117:433–440 (10.1115/1.2826697) / ASME J Mech Des by NF Michelena (1995)
Michelena NF, Papalambros PY (1995b) Optimal model-based decomposition of powertrain system design. ASME J Mech Des 117:499–505 (10.1115/1.2826710) / ASME J Mech Des by NF Michelena (1995)
Michelena NF, Papalambros PY (1997) A hypergraph framework for optimal model-based decomposition of design problems. Comput Optim Appl 8(2):173–196 (10.1023/A:1008673321406) / Comput Optim Appl by NF Michelena (1997)
Michelena N, Jiang T, Papalambros P (1995) Decomposition of simultaneous analysis and design models. In: Proceedings of the 1st world congress of structural and multidisciplinary optimization, pp 845–850
Michelena N, Papalambros P, Park HA, Kulkarni D (1999) Hierarchical overlapping coordination for large-scale optimization by decomposition. AIAA J 37(7):890–896 (10.2514/2.7538) / AIAA J by N Michelena (1999)
Mitchell TJ, Morris MD (1992) Bayesian design and analysis of computer experiments: two examples. Stat Sinica 2:359–379 / Stat Sinica by TJ Mitchell (1992)
Morris MD (1991) Factorial sampling plans for preliminary computational experiments. Technometrics 33(2):161–174 (10.1080/00401706.1991.10484804) / Technometrics by MD Morris (1991)
Morris MD, Mitchell TJ (1983) Two-level multifactor designs for detecting the presence of interactions. Technometrics 25(4):345–355 (10.1080/00401706.1983.10487897) / Technometrics by MD Morris (1983)
Morris MD, Mitchell TJ (1995) Exploratory designs for computational experiments. J Stat Plan Inference 43:381–402 (10.1016/0378-3758(94)00035-T) / J Stat Plan Inference by MD Morris (1995)
Morris MD, Mitchell TJ, Ylvisaker D (1993) Bayesian design and analysis of computer experiments: use of derivatives in surface prediction. Technometrics 35(3):243–255 (10.1080/00401706.1993.10485320) / Technometrics by MD Morris (1993)
Myers RH, Montgomery D (1995) Response surface methodology: process and product optimization using designed experiments. Wiley, Toronto / Response surface methodology: process and product optimization using designed experiments by RH Myers (1995)
Nain PKS, Deb K (2002) A computationally effective multi-objective search and optimization technique using coarse-to-fine grain modeling (KanGal report no. 2002005). Indian Institute of Technology Kanpur, Kanpur / A computationally effective multi-objective search and optimization technique using coarse-to-fine grain modeling (KanGal report no. 2002005) by PKS Nain (2002)
Oakley JE, O’Hagan A (2004) Probabilistic sensitivity analysis of complex models: a Bayesian approach. J R Stat Soc B 66(3):751–769 (10.1111/j.1467-9868.2004.05304.x) / J R Stat Soc B by JE Oakley (2004)
Otto J, Paraschivoiu M, Yesilyurt S, Patera AT (1997) Bayesian-validated computer-simulation surrogates for optimization and design: error estimates and applications. Math Comput Simul 44:347–367 (10.1016/S0378-4754(97)00061-X) / Math Comput Simul by J Otto (1997)
Owen AB (1992a) Orthogonal arrays for computer experiments, integration, and visualization. Stat Sinica 2:439–452 / Stat Sinica by AB Owen (1992)
Owen AB (1992b) A central limit theorem for Latin hypercube sampling. J R Stat Soc 54(2):541–551 (10.1111/j.2517-6161.1992.tb01895.x) / J R Stat Soc by AB Owen (1992)
Owen AB (1998) Detecting near linearity in high dimensions. Stanford University, Stanford / Detecting near linearity in high dimensions by AB Owen (1998)
Owen AB (2000) Assessing linearity in high dimensions. Ann Stat 28(1):1–19 (10.1214/aos/1016120362) / Ann Stat by AB Owen (2000)
Papalambros PY (1995) Optimal design of mechanical engineering systems. ASME J Mech Des 117(special 50th anniversary design issue):55–62 (10.1115/1.2836471) / ASME J Mech Des by PY Papalambros (1995)
Papalambros PY, Michelena NF (1997) Model-based partitioning in optimal design of large engineering systems. In: Multidisciplinary design optimization: state-of-the-art. SIAM, pp 209–226
Papalambros PY, Michelena NF (2000) Trends and challenges in system design optimization. In: Proceedings of the international workshop on multidisciplinary design optimization, Pretoria, S. Africa, 7–10 August
Penha RML, Hines JW (2001) Using principal component analysis modeling to monitor temperature sensors in a nuclear research reactor. In: Proceedings of the maintenance and reliability conference (MARCON 2001), Knoxville, TN, 6–9 May
Pérez VM, Apker TB, Renaud JE (2002a) Parallel processing in sequential approximate optimization. In: The 43rd AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics, and materials conference, Denver, Colorado, 22–25 Apr, AIAA-2002-1589 (10.2514/6.2002-1589)
Pérez VM, Renaud JE, Watson LT (2002b) Reduced sampling for construction of quadratic response surface approximations using adaptive experimental design. In: The 43rd AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics, and materials conference, Denver, Colorado, 22–25 Apr, AIAA-2002-1587 (10.2514/6.2002-1587)
Queipo NV et al (2005) Surrogate-based analysis and optimization. Prog Aerospace Sci 41:1–18 (10.1016/j.paerosci.2005.02.001) / Prog Aerospace Sci by NV Queipo (2005)
Rabitz H, Alis ÖF (1999) General foundations of high-dimensional model representations. J Math Chem 25:197–233 (10.1023/A:1019188517934) / J Math Chem by H Rabitz (1999)
Rabitz H, Alis ÖF, Shorter J, Shim K (1999) Efficient input–output model representations. Comput Phys Commun 117:11–20 (10.1016/S0010-4655(98)00152-0) / Comput Phys Commun by H Rabitz (1999)
Rao SS, Mulkay EL (2000) Engineering design optimization using interior-point algorithms. AIAA J 38(11):2127–2132 (10.2514/2.875) / AIAA J by SS Rao (2000)
Rassokhin DN, Lobanov VS, Agratiotis DK (2000) Nonlinear mapping of massive data sets by fuzzy clustering and neural networks. J Comput Chem 22(4):373–386 (10.1002/1096-987X(200103)22:4<373::AID-JCC1009>3.0.CO;2-8) / J Comput Chem by DN Rassokhin (2000)
Ratschek H, Rokne JG (1987) Efficiency of a global optimization algorithm. SIAM J Numer Anal 24(5):1191–1201 (10.1137/0724078) / SIAM J Numer Anal by H Ratschek (1987)
Regis RG, Shoemaker CA (2007a) Parallel radial basis function methods for the global optimization of expensive functions. Eur J Oper Res 182:514–535 (10.1016/j.ejor.2006.08.040) / Eur J Oper Res by RG Regis (2007)
Regis RG, Shoemaker CA (2007b) A stochastic radial basis function method for the global optimization of expensive functions. INFORMS J Comput 19(4):497–509 (10.1287/ijoc.1060.0182) / INFORMS J Comput by RG Regis (2007)
Renaud JE (1993) Second order based multidisciplinary design optimization algorithm development. Adv Des Autom 65-2:347–357 / Adv Des Autom by JE Renaud (1993)
Renaud JE, Gabriele GA (1991) Sequential global approximation in non-hierarchic system decomposition and optimization. Adv Des Autom 32-1:191–200 / Adv Des Autom by JE Renaud (1991)
Rodríguez JF, Renaud JE, Watson LT (1998) Trust region augmented Lagrangian methods for sequential response surface approximation and optimization. ASME J Mech Des 120:58–66 (10.1115/1.2826677) / ASME J Mech Des by JF Rodríguez (1998)
Sacks J, Schiller SB, Welch WJ (1989a) Designs for computer experiments. Technometrics 31(1):41–47 (10.1080/00401706.1989.10488474) / Technometrics by J Sacks (1989)
Sacks J, Welch WJ, Mitchell TJ, Wynn HP (1989b) Design and analysis of computer experiments. Stat Sci 4(4):409–435 (10.1214/ss/1177012413) / Stat Sci by J Sacks (1989)
Saha A, Wu C-L, Tang D-S (1993) Approximation, dimension reduction, and nonconvex optimization using linear superpositions of Gaussians. IEEE Trans Comput 42(10):1222–1233 (10.1109/12.257708) / IEEE Trans Comput by A Saha (1993)
Sammon JW (1969) A nonlinear mapping for data structure analysis. IEEE Trans Comput C-18(5):401–409 (10.1109/T-C.1969.222678) / IEEE Trans Comput by JW Sammon (1969)
Schonlau M, Welch WJ (2006) Screening the input variables to a computer model via analysis of variance and visualization. Paper presented at the screening methods for experimentation in industry, drug discovery, and genetics springer, New York (10.1007/0-387-28014-6_14)
Schonlau M, Welch WJ, Jones DR (1998) Global versus local search in constrained optimization of computer models. In: Flournoy N, Rosenberger WF, Wong WK (eds) New development and applications in experimental design. Lecture notes-monograph series, vol 34. Institute of Mathematical Statistics, Hayward, pp 11–25 (10.1214/lnms/1215456182) / New development and applications in experimental design / Lecture notes-monograph series by M Schonlau (1998)
Shan S, Wang GG (2004) Space exploration and global optimization for computationally intensive design problems: a rough set based approach. Struct Multidisc Optim 28(6):427–441 (10.1007/s00158-004-0448-2) / Struct Multidisc Optim by S Shan (2004)
Sharif B, Wang GG, EIMekkawy T (2008) Mode pursuing sampling method for discrete variable optimization on expensive black-box functions. ASME J Mech Des 130:021402-1-11 (10.1115/1.2803251) / ASME J Mech Des by B Sharif (2008)
Shen HT, Zhou X, Zhou A (2006) An adaptive and dynamic dimensionality reduction method for high-dimensional indexing. The VLDB Journal. http://www.itee.uq.edu.au/~zxf/_papers/VLDBJ06.pdf . Accessed 8 August 2008
Shin YS, Grandhi RV (2001) A global structural optimization technique using an interval method. Struct Multidisc Optim 22:351–363 (10.1007/s00158-001-0155-1) / Struct Multidisc Optim by YS Shin (2001)
Shlens J (2005) A tutorial on principal component analysis. http://www.snl.salk.edu/~shlens/pub/notes/pca.pdf . Accessed 8 August 2008
Shorter JA, Ip PC, Rabitz HA (1999) An efficient chemical kinetics solver using high dimensional model representation. J Phys Chem A 103:7192–7198 (10.1021/jp9843398) / J Phys Chem A by JA Shorter (1999)
Siah ES, Sasena M, Volakis JL, Papalambros PY (2004) Fast parameter optimization of large-scale electromagnetic objects using DIRECT with Kriging metamodeling. IEEE Trans Microwave Theor Tech 52(1):276–285 (10.1109/TMTT.2003.820891) / IEEE Trans Microwave Theor Tech by ES Siah (2004)
Simpson TW (2004) Evaluation of a graphical design interface for design space visualization. In: Proceedings of the 45th AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics & materials conference, Palm Springs, California, 19–22 April, AIAA 2004-1683 (10.2514/6.2004-1683)
Simpson TW, Mauery TM, Korte JJ, Mistree F (1998) Comparison of response surface and kriging models for multidisciplinary design optimization. In: The 7th AIAA/USAF/NASA/ISSMO symposium on multidisciplinary analysis & optimization, St. Louis, MI, AIAA-98-4755 (10.2514/6.1998-4755)
Simpson TW, Lin DKJ, Chen W (2001a) Sampling strategies for computer experiments: design and analysis. Int J Reliab Appl 2(3):209–240 / Int J Reliab Appl by TW Simpson (2001)
Simpson TW, Peplinski J, Koch PN, Allen JK (2001b) Metamodels for computer-based engineering design: survey and recommendations. Eng Comput 17(2):129–150 (10.1007/PL00007198) / Eng Comput by TW Simpson (2001)
Simpson TW, Booker AJ, Ghosh D, Giunta AA, Koch PN, Yang RJ (2004) Approximation methods in multidisciplinary analysis and optimization: a panel discussion. Struct Multidisc Optim 27:302–313 (10.1007/s00158-004-0389-9) / Struct Multidisc Optim by TW Simpson (2004)
Sobieszczanski-Sobieski J (1990) Sensitivity analysis and multidisciplinary optimization for aircraft design: recent advances and results. J Aircr 27(12):993–1001 (10.2514/3.45973) / J Aircr by J Sobieszczanski-Sobieski (1990)
Sobieszczanski-Sobieski J, Haftka RT (1997) Multidisciplinary aerospace design optimization: survey of recent developments. Struct Optim 14(1):1–23 (10.1007/BF01197554) / Struct Optim by J Sobieszczanski-Sobieski (1997)
Sobol IM (1993) Sensitivity estimates for nonlinear mathematical models. Math Model Comput Exper 1(4):407–414 / Math Model Comput Exper by IM Sobol (1993)
Somorjai RL, Dolenko B, Demko A, Mandelzweig M, Nikulin AE, Baumgartner R et al (2004) Mapping high-dimensional data onto a relative distance plane—an exact method for visualizing and characterizing high-dimensional patterns. J Biomed Inform 37:366–376 (10.1016/j.jbi.2004.07.005) / J Biomed Inform by RL Somorjai (2004)
Srivastava A, Hacker K, Lewis KE, Simpson TW (2004) A method for using legacy data for metamodel-based design of large-scale systems. Struct Multidisc Optim 28:146–155 (10.1007/s00158-004-0438-4) / Struct Multidisc Optim by A Srivastava (2004)
Steinberg DM, Hunter WG (1984) Experimental design: review and comment. Technometrics 26(2):71–97 (10.1080/00401706.1984.10487928) / Technometrics by DM Steinberg (1984)
Stone CJ (1985) Additive regression and other nonparametric models. Ann Stat 13(2):689–705 (10.1214/aos/1176349548) / Ann Stat by CJ Stone (1985)
Storn R, Price K (1995) Differential evolution—a simple and efficient adaptive scheme for global optimization over continuous spaces. Technical report TR-95-012, International Computer Science Institute (ICSI), Berkley, CA, March 1995 / Differential evolution—a simple and efficient adaptive scheme for global optimization over continuous spaces by R Storn (1995)
Stump G, Simpson TW, Yukish M, Bennett L (2002) Multidimensional design and visualization and its application to a design by shopping paradigm. In: The 9th AIAA/USAF/NASA/ISSMO symposium on multidisciplinary analysis and optimization, Atlanta, GA, 4–6 September, AIAA 2002-5622 (10.2514/6.2002-5622)
Suh NP (2001) Axiomatic design: advances and applications. Oxford University Press, New York / Axiomatic design: advances and applications by NP Suh (2001)
Tang B (1993) Orthogonal array-based Latin hypercubes. J Am Stat Assoc 88(424):1392–1397 (10.1080/01621459.1993.10476423) / J Am Stat Assoc by B Tang (1993)
Taskin G, Saygin H, Demiralp M, Yanalak M (2002) Least squares curve fitting via high dimensional model representation for digital elevation model. In: The international symposium on GIS, Istanbul-Turkey, 23–26 September
Tu J, Jones DR (2003) Variable screening in metamodel design by cross-validated moving least squares method. In: The 44th AIAA/ASME/ASCE/AHS structures, structural dynamics, and materials conference, Norfolk, Virginia, 7–10 April (10.2514/6.2003-1669)
Tunga MA, Demiralp M (2005) A factorized high dimensional model representation on the nodes of a finite hyperprismatic regular grid. Appl Math Comput 164:865–883 / Appl Math Comput by MA Tunga (2005)
Tunga MA, Demiralp M (2006) Hybrid high dimensional model representation (HHDMR) on the partitioned data. J Comput Appl Math 185:107–132 (10.1016/j.cam.2005.01.030) / J Comput Appl Math by MA Tunga (2006)
Vanderplaats GN (1999) Structural design optimization status and direction. J Aircr 36(1):11–20 (10.2514/2.2440) / J Aircr by GN Vanderplaats (1999)
Wagner S (2007) Global sensitivity analysis of predictor models in software engineering. In: Proceedings of third international workshop on predictor models in software engineering (PROMISE’07), Washington, DC, USA. IEEE Computer Society (10.1109/PROMISE.2007.7)
Wagner TC, Papalambros PY (1993) A general framework for decomposition analysis in optimal design. De-Vol. 65-2. Adv Des Autom 2:315–325 / Adv Des Autom by TC Wagner (1993)
Wang H, Ersoy OK (2005) Parallel gray code optimization for high dimensional problems. In: Proceedings of the sixth international conference on computational intelligence and multimedia applications, Las Vegas, Nevada, 16–18 August
Wang GG, Shan S (2004) Design space reduction for multi-objective optimization and robust design optimization problems. SAE Trans 113:101–110 / SAE Trans by GG Wang (2004)
Wang GG, Shan S (2007) Review of metamodeling techniques in support of engineering design optimization. ASME J Mech Des 129:370–389 (10.1115/1.2429697) / ASME J Mech Des by GG Wang (2007)
Wang GG, Simpson TW (2004) Fuzzy clustering based hierarchical metamodeling for space reduction and design optimization. J Eng Optim 36(3):313–335 (10.1080/03052150310001639911) / J Eng Optim by GG Wang (2004)
Wang GG, Dong Z, Aitchison P (2001) Adaptive response surface method—a global optimization scheme for computation-intensive design problems. J Eng Optim 33(6):707–734 (10.1080/03052150108940940) / J Eng Optim by GG Wang (2001)
Wang S-W, Georgopoulos PG, Li G, Rabits H (2003) Random sampling-high dimensional model representation (RS-HDMR) with nonuniformly distributed variables: application to an integrated multimedia/multipathway exposure and dose model for trichloroethylene. J Phys Chem, A 107:4707–4716 (10.1021/jp022500f) / J Phys Chem, A by S-W Wang (2003)
Wang L, Shan S, Wang GG (2004) Mode-pursuing sampling method for global optimization on expensive black-box functions. J Eng Optim 36(4):419–438 (10.1080/03052150410001686486) / J Eng Optim by L Wang (2004)
Wang L, Beeson D et al (2006) A comparison of meta-modeling methods using practical industry requirements. In: The 47th AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics, and materials conference, Newport, Rhode Island, USA, 1–4 May 2006 (10.2514/6.2006-1811)
Watson GS (1961) A study of the group screening method. Technometrics 3(3):371–388 (10.1080/00401706.1961.10489954) / Technometrics by GS Watson (1961)
Watson PM, Gupta KC (1996) EM-ANN models for microstrip vias and interconnects in dataset circuits. IEEE Trans Microwave Theor Tech 44(12):2495–2503 (10.1109/22.554584) / IEEE Trans Microwave Theor Tech by PM Watson (1996)
Weise T (2008) Global optimization algorithms theory and application. http://www.it-weise.de/projects/book.pdf . Accessed 7 Nov 2008
Welch WJ, Buck RJ, Sacks J, Wynn HP, Mitchell TJ, Morris MD (1992) Screening, predicting, and computer experiments. Technometrics 34(1):15–25 (10.2307/1269548) / Technometrics by WJ Welch (1992)
Winer EH, Bloebaum CL (2002a) Development of visual design steering as an aid in large-scale multidisciplinary design optimization. Part I: method development. Struct Multidisc Optim 23(6):412–424 (10.1007/s00158-002-0203-5) / Struct Multidisc Optim by EH Winer (2002)
Winer EH, Bloebaum CL (2002b) Development of visual design steering as an aid in large-scale multidisciplinary design optimiza tion. Part II: method validation. Struct Multidisc Optim 23(6):425–435 (10.1007/s00158-002-0204-4) / Struct Multidisc Optim by EH Winer (2002)
Wujek BA, Renaud JE (1998a) New adaptive move-limit management strategy for approximate optimization, Part 1. AIAA J 36(10):1911–1921 (10.2514/2.285) / AIAA J by BA Wujek (1998)
Wujek BA, Renaud JE (1998b) New adaptive move-limit management strategy for approximate optimization, Part 2. AIAA J 36(10):1922–1934 (10.2514/2.287) / AIAA J by BA Wujek (1998)
Xiong Y, Chen W, Tsui K-L (2008) A new variable fidelity optimization framework based on model fusion and objective-oriented sequential sampling. ASME J Mech Des 130:111401. doi: 10.1115/1.2976449 (10.1115/1.2976449) / ASME J Mech Des by Y Xiong (2008)
Ye KQ (1998) Orthogonal column Latin hypercubes and their application in computer experiments. J Am Stat Assoc 93(444):1430–1439 (10.1080/01621459.1998.10473803) / J Am Stat Assoc by KQ Ye (1998)
Ye T, Kalyanaraman S (2003) A unified search framework for large-scale black-box optimization. http://www.ecse.rpi.edu/Homepages/shivkuma /research/papers/unisearch03.pdf . Accessed 8 August 2008
Yoshimura M, Izui K (1998) Machine system design optimization strategies based on expansion and contraction of design spaces. In: Proceedings of the 7th AIAA/USAF/NASA/ISSMO symposium on multidisciplinary analysis and optimization, St. Louis, USA, September. AIAA-98-4749 (10.2514/6.1998-4749)
Yoshimura M, Izui K (2004) Hierarchical parallel processes of genetic algorithms for design optimization of large-scale products. ASME J Mech Des 126:217–224 (10.1115/1.1666889) / ASME J Mech Des by M Yoshimura (2004)

Dates

Type	When
Created	16 years ago (Aug. 5, 2009, 11:49 p.m.)
Deposited	6 months, 1 week ago (Feb. 11, 2025, 12:34 p.m.)
Indexed	5 days, 4 hours ago (Aug. 19, 2025, 7:07 a.m.)
Issued	16 years ago (Aug. 7, 2009)
Published	16 years ago (Aug. 7, 2009)
Published Online	16 years ago (Aug. 7, 2009)
Published Print	15 years, 5 months ago (March 1, 2010)

Funders 0

None

BibTeX

@article{Shan_2009, title={Survey of modeling and optimization strategies to solve high-dimensional design problems with computationally-expensive black-box functions}, volume={41}, ISSN={1615-1488}, url={http://dx.doi.org/10.1007/s00158-009-0420-2}, DOI={10.1007/s00158-009-0420-2}, number={2}, journal={Structural and Multidisciplinary Optimization}, publisher={Springer Science and Business Media LLC}, author={Shan, Songqing and Wang, G. Gary}, year={2009}, month=aug, pages={219–241} }

JSON

{
  "indexed": {
    "date-parts": [
      [
        2025,
        8,
        19
      ]
    ],
    "date-time": "2025-08-19T11:07:28Z",
    "timestamp": 1755601648933,
    "version": "3.37.0"
  },
  "reference-count": 206,
  "publisher": "Springer Science and Business Media LLC",
  "issue": "2",
  "license": [
    {
      "start": {
        "date-parts": [
          [
            2009,
            8,
            7
          ]
        ],
        "date-time": "2009-08-07T00:00:00Z",
        "timestamp": 1249603200000
      },
      "content-version": "tdm",
      "delay-in-days": 0,
      "URL": "http://www.springer.com/tdm"
    }
  ],
  "content-domain": {
    "domain": [],
    "crossmark-restriction": false
  },
  "published-print": {
    "date-parts": [
      [
        2010,
        3
      ]
    ]
  },
  "DOI": "10.1007/s00158-009-0420-2",
  "type": "journal-article",
  "created": {
    "date-parts": [
      [
        2009,
        8,
        6
      ]
    ],
    "date-time": "2009-08-06T03:49:13Z",
    "timestamp": 1249530553000
  },
  "page": "219-241",
  "source": "Crossref",
  "is-referenced-by-count": 476,
  "title": "Survey of modeling and optimization strategies to solve high-dimensional design problems with computationally-expensive black-box functions",
  "prefix": "10.1007",
  "volume": "41",
  "author": [
    {
      "given": "Songqing",
      "family": "Shan",
      "sequence": "first",
      "affiliation": []
    },
    {
      "given": "G. Gary",
      "family": "Wang",
      "sequence": "additional",
      "affiliation": []
    }
  ],
  "member": "297",
  "published-online": {
    "date-parts": [
      [
        2009,
        8,
        7
      ]
    ]
  },
  "reference": [
    {
      "key": "420_CR1",
      "unstructured": "Ahn K-H, Chung WK (2002) Optimization with joint space reduction and extension induced by kinematic limits for redundant manipulators. In: Proceedings of the 2002 IEEE international conference on robotics & automation, Washington DC, 11\u201315 May"
    },
    {
      "key": "420_CR2",
      "unstructured": "Alexandrov N, Alter SJ, Atkins HL, Bey KS, Bibb KL, Biedron RT (2002) Opportunities for breakthroughs in large-scale computational simulation and design: NASA/TM-2002-211747"
    },
    {
      "key": "420_CR3",
      "doi-asserted-by": "crossref",
      "first-page": "486",
      "DOI": "10.1115/1.2826916",
      "volume": "118",
      "author": "SS Altus",
      "year": "1996",
      "unstructured": "Altus SS, Kroo IM, Gage PJ (1996) A genetic algorithm for scheduling and decomposition of multidisciplinary design problems. ASME J Mech Des 118:486\u2013489",
      "journal-title": "ASME J Mech Des"
    },
    {
      "issue": "4",
      "key": "420_CR4",
      "doi-asserted-by": "crossref",
      "first-page": "588",
      "DOI": "10.1006/jcom.2001.0588",
      "volume": "17",
      "author": "J An",
      "year": "2001",
      "unstructured": "An J, Owen A (2001) Quasi-regression. J Complex 17(4):588\u2013607",
      "journal-title": "J Complex"
    },
    {
      "key": "420_CR5",
      "doi-asserted-by": "crossref",
      "first-page": "466",
      "DOI": "10.1017/S0266466600005478",
      "volume": "6",
      "author": "DWK Andrews",
      "year": "1990",
      "unstructured": "Andrews DWK, Whang Y-J (1990) Additive interactive regression models: circumvention of the curse of dimensionality. Econ Theory 6:466\u2013479",
      "journal-title": "Econ Theory"
    },
    {
      "key": "420_CR6",
      "doi-asserted-by": "crossref",
      "first-page": "945",
      "DOI": "10.1115/1.2204974",
      "volume": "128",
      "author": "DW Apley",
      "year": "2006",
      "unstructured": "Apley DW, Liu J, Chen W (2006) Understanding the effects of model uncertainty in robust design with computer experiments. ASME J Mech Des 128:945\u2013958",
      "journal-title": "ASME J Mech Des"
    },
    {
      "key": "420_CR7",
      "doi-asserted-by": "crossref",
      "first-page": "137",
      "DOI": "10.1007/BF01743964",
      "volume": "9",
      "author": "JS Arora",
      "year": "1995",
      "unstructured": "Arora JS, Elwakeil OA, Chahande AI (1995) Global optimization methods for engineering applications: a review. Struct Optim 9:137\u2013159",
      "journal-title": "Struct Optim"
    },
    {
      "issue": "4",
      "key": "420_CR8",
      "doi-asserted-by": "crossref",
      "first-page": "980",
      "DOI": "10.1137/S105262340138983X",
      "volume": "14",
      "author": "C Audet",
      "year": "2004",
      "unstructured": "Audet C, Dennis JEJ (2004) A pattern search filter method for nonlinear programming without derivatives. SIAM J Optim 14(4):980\u20131010",
      "journal-title": "SIAM J Optim"
    },
    {
      "issue": "12",
      "key": "420_CR9",
      "doi-asserted-by": "crossref",
      "first-page": "2412",
      "DOI": "10.1109/22.739229",
      "volume": "46",
      "author": "MH Bakr",
      "year": "1998",
      "unstructured": "Bakr MH, Bandler JW, Biernacki RM, Chen SHS, Madsen K (1998) A trust region aggressive space mapping algorithm for EM Optimization. IEEE Trans Microwave Theor Tech 46(12):2412\u20132425",
      "journal-title": "IEEE Trans Microwave Theor Tech"
    },
    {
      "issue": "12",
      "key": "420_CR10",
      "doi-asserted-by": "crossref",
      "first-page": "2428",
      "DOI": "10.1109/22.808990",
      "volume": "47",
      "author": "MH Bakr",
      "year": "1999",
      "unstructured": "Bakr MH, Bandler JW, Georgieva N (1999a) An aggressive approach to parameter extraction. IEEE Trans Microwave Theor Tech 47(12):2428\u20132439",
      "journal-title": "IEEE Trans Microwave Theor Tech"
    },
    {
      "issue": "12",
      "key": "420_CR11",
      "doi-asserted-by": "crossref",
      "first-page": "2440",
      "DOI": "10.1109/22.808991",
      "volume": "47",
      "author": "MH Bakr",
      "year": "1999",
      "unstructured": "Bakr MH, Bandler JW, Georgieva N, Madsen K (1999b) A hybrid aggressive space-mapping algorithm for EM optimization. IEEE Trans Microwave Theor Tech 47(12):2440\u20132449",
      "journal-title": "IEEE Trans Microwave Theor Tech"
    },
    {
      "issue": "12",
      "key": "420_CR12",
      "doi-asserted-by": "crossref",
      "first-page": "2297",
      "DOI": "10.1109/22.898978",
      "volume": "48",
      "author": "MH Bakr",
      "year": "2000",
      "unstructured": "Bakr MH, Bandler JW, Madsen K, ErnestoRayas-Sanchez J, Sondergaard J (2000a) Space-mapping optimization of microwave circuits exploiting surrogate models. IEEE Trans Microwave Theor Tech 48(12):2297\u20132306",
      "journal-title": "IEEE Trans Microwave Theor Tech"
    },
    {
      "key": "420_CR13",
      "doi-asserted-by": "crossref",
      "first-page": "241",
      "DOI": "10.1023/A:1010000106286",
      "volume": "1",
      "author": "MH Bakr",
      "year": "2000",
      "unstructured": "Bakr MH, Bandler JW, Madsen K, Sondergaard J (2000b) Review of the space mapping approach to engineering optimization and modeling. J Optim Eng 1:241\u2013276",
      "journal-title": "J Optim Eng"
    },
    {
      "issue": "12",
      "key": "420_CR14",
      "doi-asserted-by": "crossref",
      "first-page": "2536",
      "DOI": "10.1109/22.339794",
      "volume": "42",
      "author": "JW Bandler",
      "year": "1994",
      "unstructured": "Bandler JW, Biernacki RM, Chen SH, Grobelny PA, Hemmers RH (1994) Space mapping technique for electromagnetic optimization. IEEE Trans Microwave Theor Tech 42(12):2536\u20132544",
      "journal-title": "IEEE Trans Microwave Theor Tech"
    },
    {
      "issue": "12",
      "key": "420_CR15",
      "doi-asserted-by": "crossref",
      "first-page": "2874",
      "DOI": "10.1109/22.475649",
      "volume": "43",
      "author": "JW Bandler",
      "year": "1995",
      "unstructured": "Bandler JW, Bienacki RM, Chen SH, Hemmers RH, Madsen K (1995a) Electromagnetic optimization exploiting aggressive space mapping. IEEE Trans Microwave Theor Tech 43(12):2874\u20132882",
      "journal-title": "IEEE Trans Microwave Theor Tech"
    },
    {
      "key": "420_CR16",
      "doi-asserted-by": "crossref",
      "unstructured": "Bandler JW, Biernacki RM, Chen SH, Hemmers RH, Madsen K (1995b) Aggressive space mapping for electromagnetic design. In: IEEE MTT-S int. microwave symp. dig., Orlando, FL, 16\u201320 May",
      "DOI": "10.1109/MWSYM.1995.406247"
    },
    {
      "issue": "1",
      "key": "420_CR17",
      "doi-asserted-by": "crossref",
      "first-page": "337",
      "DOI": "10.1109/TMTT.2003.820904",
      "volume": "52",
      "author": "JW Bandler",
      "year": "2004",
      "unstructured": "Bandler JW, Cheng QS, Dakroury SA, Mohamed AS, Bakr MH, Madsen K (2004) Space mapping: the state of the art. IEEE Trans Microwave Theor Tech 52(1):337\u2013361",
      "journal-title": "IEEE Trans Microwave Theor Tech"
    },
    {
      "key": "420_CR18",
      "doi-asserted-by": "crossref",
      "first-page": "6687",
      "DOI": "10.1021/ie0202726",
      "volume": "41",
      "author": "I Banerjee",
      "year": "2002",
      "unstructured": "Banerjee I, Ierapetritou MG (2002) Design optimization under parameter uncertainty for general black-box models. Ind Eng Chem Res 41:6687\u20136697",
      "journal-title": "Ind Eng Chem Res"
    },
    {
      "issue": "3",
      "key": "420_CR19",
      "doi-asserted-by": "crossref",
      "first-page": "934",
      "DOI": "10.1214/aos/1176350043",
      "volume": "14",
      "author": "D Barry",
      "year": "1986",
      "unstructured": "Barry D (1986) Nonparametric Bayesian regression. Ann Stat 14(3):934\u2013953",
      "journal-title": "Ann Stat"
    },
    {
      "key": "420_CR20",
      "series-title": "Stochastic algorithms: foundations and applications",
      "first-page": "125",
      "volume-title": "Global optimization\u2014stochastic or deterministic?",
      "author": "MC Bartholomew-Biggs",
      "year": "2003",
      "unstructured": "Bartholomew-Biggs MC, Parkhurst SC, Wilson SP (2003) Global optimization\u2014stochastic or deterministic? Stochastic algorithms: foundations and applications, vol 2827/2003. Springer, Berlin, pp 125\u2013137"
    },
    {
      "issue": "1",
      "key": "420_CR21",
      "doi-asserted-by": "crossref",
      "first-page": "77",
      "DOI": "10.1111/j.2517-6161.1996.tb02068.x",
      "volume": "58",
      "author": "RA Bates",
      "year": "1996",
      "unstructured": "Bates RA, Buck RJ, Riccomagno E, Wynn HP (1996) Experimental design and observation for large systems. J R Stat Soc B 58(1):77\u201394",
      "journal-title": "J R Stat Soc B"
    },
    {
      "issue": "2",
      "key": "420_CR22",
      "first-page": "17",
      "volume": "1",
      "author": "M Bj\u00f6rkman",
      "year": "1999",
      "unstructured": "Bj\u00f6rkman M, Holmstr\u00f6m K (1999) Global optimization using the DIRECT algorithm in Matlab. Adv Model Optim 1(2):17\u201337",
      "journal-title": "Adv Model Optim"
    },
    {
      "issue": "1",
      "key": "420_CR23",
      "doi-asserted-by": "crossref",
      "first-page": "1",
      "DOI": "10.1007/BF01197708",
      "volume": "17",
      "author": "AJ Booker",
      "year": "1999",
      "unstructured": "Booker AJ, Dennis JEJ, Frank PD, Serafini DB, Torczon V, Trosset MW (1999) A rigorous framework for optimization of expensive functions by surrogates. Struct Optim 17(1):1\u201313",
      "journal-title": "Struct Optim"
    },
    {
      "issue": "4",
      "key": "420_CR24",
      "doi-asserted-by": "crossref",
      "first-page": "508",
      "DOI": "10.1214/aoms/1177729331",
      "volume": "23",
      "author": "RC Bose",
      "year": "1952",
      "unstructured": "Bose RC, Bush KA (1952) Orthogonal arrays of strength two and three. Ann Math Stat 23(4):508\u2013524",
      "journal-title": "Ann Math Stat"
    },
    {
      "key": "420_CR25",
      "doi-asserted-by": "crossref",
      "first-page": "81",
      "DOI": "10.2307/2985505",
      "volume": "6",
      "author": "GEP Box",
      "year": "1957",
      "unstructured": "Box GEP (1957) Evolutionary operation: a method for increasing industrial productivity. Appl Stat 6:81\u2013101",
      "journal-title": "Appl Stat"
    },
    {
      "key": "420_CR26",
      "unstructured": "Brand M (2003) Continuous nonlinear dimensionality reduction by kernel eigenmaps. http://www.merl.com/papers/docs/TR2003-21.pdf . Accessed 8 August 2008"
    },
    {
      "issue": "3",
      "key": "420_CR27",
      "doi-asserted-by": "crossref",
      "first-page": "292",
      "DOI": "10.1109/17.946528",
      "volume": "48",
      "author": "TR Browning",
      "year": "2001",
      "unstructured": "Browning TR (2001) Applying the design structure matrix to system decomposition and integration problems: a review and new directions. IEEE Trans Eng Manage 48(3):292\u2013306",
      "journal-title": "IEEE Trans Eng Manage"
    },
    {
      "issue": "5",
      "key": "420_CR28",
      "doi-asserted-by": "crossref",
      "first-page": "1152",
      "DOI": "10.1137/0724076",
      "volume": "24",
      "author": "RH Byrd",
      "year": "1987",
      "unstructured": "Byrd RH, Schnabel RB, Shults GA (1987) A trust region algorithm for nonlinearly constrained optimization. SIAM J Numer Anal 24(5):1152\u20131170",
      "journal-title": "SIAM J Numer Anal"
    },
    {
      "key": "420_CR29",
      "first-page": "71",
      "volume-title": "Numerical optimization",
      "author": "MR Celis",
      "year": "1984",
      "unstructured": "Celis MR, Dennis JEJ, Tapia RA (1984) A trust region strategy for nonlinear equality constrained optimization. In: Boggs PT, Byrd RH, Schnable RB (eds) Numerical optimization. Society for Industrial and Applied Mathematics, Philadelphia, pp 71\u201382"
    },
    {
      "issue": "3",
      "key": "420_CR30",
      "doi-asserted-by": "crossref",
      "first-page": "273",
      "DOI": "10.1214/ss/1177009939",
      "volume": "10",
      "author": "K Chaloner",
      "year": "1995",
      "unstructured": "Chaloner K, Verdinelli I (1995) Bayesian experimental design: a review. Stat Sci 10(3):273\u2013304",
      "journal-title": "Stat Sci"
    },
    {
      "issue": "3",
      "key": "420_CR31",
      "doi-asserted-by": "crossref",
      "first-page": "242",
      "DOI": "10.1080/00031305.1983.10483115",
      "volume": "37",
      "author": "TF Chan",
      "year": "1983",
      "unstructured": "Chan TF, Golub GH, LeVeque RJ (1983) Algorithms for computing the sample variance: analysis and recommendations. The American Statistician 37(3):242\u2013247",
      "journal-title": "The American Statistician"
    },
    {
      "key": "420_CR32",
      "doi-asserted-by": "crossref",
      "unstructured": "Chan TF, Cong J, Kong T, Shinnerl JR (2000) Multilevel optimization for large-scale circuit placement. In: Proceedings of the 2000 IEEE/ACM international conference on computer-aided design, San Jose, California, 5\u20139 November",
      "DOI": "10.1109/ICCAD.2000.896469"
    },
    {
      "issue": "4",
      "key": "420_CR33",
      "doi-asserted-by": "crossref",
      "first-page": "1855",
      "DOI": "10.1214/aos/1176348374",
      "volume": "19",
      "author": "Z Chen",
      "year": "1991",
      "unstructured": "Chen Z (1991) Interaction spline models and their convergence rates. Ann Stat 19(4):1855\u20131868",
      "journal-title": "Ann Stat"
    },
    {
      "issue": "2",
      "key": "420_CR34",
      "doi-asserted-by": "crossref",
      "first-page": "473",
      "DOI": "10.1111/j.2517-6161.1993.tb01917.x",
      "volume": "55",
      "author": "Z Chen",
      "year": "1993",
      "unstructured": "Chen Z (1993) Fitting multivariate regression functions by interaction spline models. J R Stat Soc 55(2):473\u2013491",
      "journal-title": "J R Stat Soc"
    },
    {
      "key": "420_CR35",
      "doi-asserted-by": "crossref",
      "first-page": "545",
      "DOI": "10.1115/1.1897405",
      "volume": "127",
      "author": "L Chen",
      "year": "2005",
      "unstructured": "Chen L, Li S (2005) Analysis of decomposability and complexity for design problems in the context of decomposition. ASME J Mech Des 127:545\u2013557",
      "journal-title": "ASME J Mech Des"
    },
    {
      "key": "420_CR36",
      "doi-asserted-by": "crossref",
      "first-page": "256",
      "DOI": "10.1115/1.2829452",
      "volume": "121",
      "author": "D-Z Chen",
      "year": "1999",
      "unstructured": "Chen D-Z, Liu C-P (1999) A hierarchical decomposition scheme for the topological synthesis of articulated gear mechanisms. ASME J Mech Des 121:256\u2013263",
      "journal-title": "ASME J Mech Des"
    },
    {
      "issue": "2",
      "key": "420_CR37",
      "doi-asserted-by": "crossref",
      "first-page": "137",
      "DOI": "10.1080/03052159608941114",
      "volume": "26",
      "author": "W Chen",
      "year": "1996",
      "unstructured": "Chen W, Allen JK, Mavris DN, Mistree R (1996) A concept exploration method for determining robust top-level specifications. Eng Optim 26(2):137\u2013158",
      "journal-title": "Eng Optim"
    },
    {
      "issue": "1",
      "key": "420_CR38",
      "doi-asserted-by": "crossref",
      "first-page": "38",
      "DOI": "10.1287/opre.47.1.38",
      "volume": "47",
      "author": "VCP Chen",
      "year": "1999",
      "unstructured": "Chen VCP, Ruppert D, Shoemaker CA (1999) Applying experimental design and regression splines to high-dimensional continuous state stochastic dynamic programming. Oper Res 47(1):38\u201353",
      "journal-title": "Oper Res"
    },
    {
      "key": "420_CR39",
      "doi-asserted-by": "crossref",
      "first-page": "231",
      "DOI": "10.1016/S0169-7161(03)22009-5",
      "volume": "22",
      "author": "VCP Chen",
      "year": "2003",
      "unstructured": "Chen VCP, Tsui K-L, Barton RR, Allen JK (2003) A review of design and modeling in computer experiments. Handb Stat 22:231\u2013261",
      "journal-title": "Handb Stat"
    },
    {
      "key": "420_CR40",
      "doi-asserted-by": "crossref",
      "first-page": "184",
      "DOI": "10.1115/1.1778186",
      "volume": "127",
      "author": "L Chen",
      "year": "2005",
      "unstructured": "Chen L, Ding Z, Li S (2005a) A formal two-phase method for decomposition of complex design problems. ASME J Mech Des 127:184\u2013195",
      "journal-title": "ASME J Mech Des"
    },
    {
      "key": "420_CR41",
      "doi-asserted-by": "crossref",
      "first-page": "12",
      "DOI": "10.1115/1.1778185",
      "volume": "127",
      "author": "L Chen",
      "year": "2005",
      "unstructured": "Chen L, Ding Z, Li S (2005b) Tree-based dependency analysis in decomposition and re-decomposition of complex design problems. ASME J Mech Des 127:12\u201323",
      "journal-title": "ASME J Mech Des"
    },
    {
      "key": "420_CR42",
      "doi-asserted-by": "crossref",
      "first-page": "273",
      "DOI": "10.1080/07408170500232495",
      "volume": "38",
      "author": "VCP Chen",
      "year": "2006",
      "unstructured": "Chen VCP, Tsui K-L, Barton RR, Meckesheimer M (2006) A review on design, modeling and applications of computer experiments. IIE Trans 38:273\u2013291",
      "journal-title": "IIE Trans"
    },
    {
      "key": "420_CR43",
      "first-page": "143",
      "volume": "1",
      "author": "R Collobert",
      "year": "2001",
      "unstructured": "Collobert R, Bengio S (2001) SVMTorch: support vector machines for large-scale regression problems. J Mach Learn Res 1:143\u2013160",
      "journal-title": "J Mach Learn Res"
    },
    {
      "key": "420_CR44",
      "doi-asserted-by": "crossref",
      "first-page": "7",
      "DOI": "10.1023/A:1016063422605",
      "volume": "32",
      "author": "SB Crary",
      "year": "2002",
      "unstructured": "Crary SB (2002) Design of computer experiments for metamodel generation. Analog Integr Circuits Signal Process 32:7\u201316",
      "journal-title": "Analog Integr Circuits Signal Process"
    },
    {
      "key": "420_CR45",
      "unstructured": "Currin C, Mitchell T, Morris M, Ylvisaker D (1988) A Bayesian approach to the design and analysis of computer experiments. Technical report 6498, Oak Ridge National Laboratory"
    },
    {
      "issue": "416",
      "key": "420_CR46",
      "doi-asserted-by": "crossref",
      "first-page": "953",
      "DOI": "10.1080/01621459.1991.10475138",
      "volume": "86",
      "author": "C Currin",
      "year": "1991",
      "unstructured": "Currin C, Mitchell T, Morris M, Ylvisaker D (1991) Bayesian prediction of deterministic functions, with applications to the design and analysis of computer experiments. J Am Stat Assoc 86(416):953\u2013963",
      "journal-title": "J Am Stat Assoc"
    },
    {
      "key": "420_CR47",
      "volume-title": "Simulation based Bayesian nonparametric regression methods",
      "author": "DGT Denison",
      "year": "1997",
      "unstructured": "Denison DGT (1997) Simulation based Bayesian nonparametric regression methods. Ph.D. thesis, Imperial College, London University, London"
    },
    {
      "key": "420_CR48",
      "unstructured": "Denison DGT (1998) Nonparametric Bayesian regression methods. In: Proceedings of the section on Bayesian statistical science. American Statistics Association. http://www.ma.ic.ac.uk/statistics/links/ralinks/dgtd.link/jsmpaper.ps . Accessed 6 Nov 2008"
    },
    {
      "key": "420_CR49",
      "doi-asserted-by": "crossref",
      "unstructured": "Ding C, He X, Zha H, Simon HD (2002) Adaptive dimension reduction for clustering high dimensional data. In: The 2002 IEEE international conference on data mining (ICDM\u201902), Maebashi City, Japan, 9\u201312 December. IEEE, pp 147\u2013154",
      "DOI": "10.2172/807420"
    },
    {
      "key": "420_CR50",
      "doi-asserted-by": "crossref",
      "first-page": "29",
      "DOI": "10.1109/3477.484436",
      "volume": "26",
      "author": "M Dorigo",
      "year": "1996",
      "unstructured": "Dorigo M, Maniezzo V, Colorni A (1996) The ant system: optimization by a colony of cooperating agents. IEEE Trans Sys Man Cyber B 26:29\u201341",
      "journal-title": "IEEE Trans Sys Man Cyber B"
    },
    {
      "key": "420_CR51",
      "doi-asserted-by": "crossref",
      "DOI": "10.4135/9781412985475",
      "volume-title": "Principal components analysis",
      "author": "GH Dunteman",
      "year": "1989",
      "unstructured": "Dunteman GH (1989) Principal components analysis. Sage, London"
    },
    {
      "key": "420_CR52",
      "doi-asserted-by": "crossref",
      "unstructured": "Eldred MS, Hart WE, Schimel BD, Waanders BGVB (2000) Multilevel parallelism for optimization on MP computers: theory and experiment. In: Proceedings of the 8th AIAA/USAF/NASA/ISSMO symposium on multidisciplinary analysis and optimization, Long Beach, CA, September, AIAA-2000-4818",
      "DOI": "10.2514/6.2000-4818"
    },
    {
      "issue": "1\u20132",
      "key": "420_CR53",
      "doi-asserted-by": "crossref",
      "first-page": "97",
      "DOI": "10.1007/s00158-003-0371-y",
      "volume": "27",
      "author": "MS Eldred",
      "year": "2004",
      "unstructured": "Eldred MS, Giunta AA, Waanders BGB (2004) Multilevel parallel optimization using massively parallel structural dynamics. Struct Multidisc Optim 27(1\u20132):97\u2013109",
      "journal-title": "Struct Multidisc Optim"
    },
    {
      "key": "420_CR54",
      "doi-asserted-by": "crossref",
      "first-page": "233",
      "DOI": "10.1007/BF01743381",
      "volume": "6",
      "author": "GM Fadel",
      "year": "1993",
      "unstructured": "Fadel GM, Cimtalay S (1993) Automatic evaluation of move-limits in structural optimization. Struct Optim 6:233\u2013237",
      "journal-title": "Struct Optim"
    },
    {
      "key": "420_CR55",
      "doi-asserted-by": "crossref",
      "first-page": "117",
      "DOI": "10.1007/BF01745459",
      "volume": "2",
      "author": "GM Fadel",
      "year": "1990",
      "unstructured": "Fadel GM, Riley MF, Barthelemy JM (1990) Two points exponential approximation method for structural optimization. Struct Multidisc Optim 2:117\u2013124",
      "journal-title": "Struct Multidisc Optim"
    },
    {
      "issue": "4",
      "key": "420_CR56",
      "doi-asserted-by": "crossref",
      "first-page": "407",
      "DOI": "10.1080/03052150500422294",
      "volume": "38",
      "author": "H Fang",
      "year": "2006",
      "unstructured": "Fang H, Horstemeyer MF (2006) Global response approximation with radial basis functions. J Eng Optim 38(4):407\u2013424",
      "journal-title": "J Eng Optim"
    },
    {
      "issue": "1",
      "key": "420_CR57",
      "doi-asserted-by": "crossref",
      "first-page": "49",
      "DOI": "10.1080/00401706.1989.10488475",
      "volume": "31",
      "author": "I Ford",
      "year": "1989",
      "unstructured": "Ford I, Titterington DM, Kitsos CP (1989) Recent advances in nonlinear experimental design. Technometrics 31(1):49\u201360",
      "journal-title": "Technometrics"
    },
    {
      "issue": "1",
      "key": "420_CR58",
      "doi-asserted-by": "crossref",
      "first-page": "1",
      "DOI": "10.1214/aos/1176347963",
      "volume": "19",
      "author": "JH Friedman",
      "year": "1991",
      "unstructured": "Friedman JH (1991) Multivariate adaptive regressive splines. Ann Stat 19(1):1\u201367",
      "journal-title": "Ann Stat"
    },
    {
      "issue": "1",
      "key": "420_CR59",
      "doi-asserted-by": "crossref",
      "first-page": "3",
      "DOI": "10.1080/00401706.1989.10488470",
      "volume": "31",
      "author": "JH Friedman",
      "year": "1989",
      "unstructured": "Friedman JH, Silverman BW (1989) Flexible parsimonious smoothing and additive modeling. Technometrics 31(1):3\u201321",
      "journal-title": "Technometrics"
    },
    {
      "issue": "372",
      "key": "420_CR60",
      "doi-asserted-by": "crossref",
      "first-page": "817",
      "DOI": "10.1080/01621459.1981.10477729",
      "volume": "76",
      "author": "JH Friedman",
      "year": "1981",
      "unstructured": "Friedman JH, Stuetzle W (1981) Projection pursuit regression. J Am Stat Assoc 76(372):817\u2013823",
      "journal-title": "J Am Stat Assoc"
    },
    {
      "key": "420_CR61",
      "volume-title": "Genetic algorithms in search, optimization and machine learning",
      "author": "DE Goldberg",
      "year": "1989",
      "unstructured": "Goldberg DE (1989) Genetic algorithms in search, optimization and machine learning. Addison-Wesley, Boston"
    },
    {
      "key": "420_CR62",
      "doi-asserted-by": "crossref",
      "first-page": "10",
      "DOI": "10.1016/j.jhydrol.2005.09.008",
      "volume": "324",
      "author": "AV Griensven",
      "year": "2006",
      "unstructured": "Griensven AV et al (2006) A global sensitivity analysis tool for the parameters of multi-variable catchment models. J Hydrol 324:10\u201323",
      "journal-title": "J Hydrol"
    },
    {
      "key": "420_CR63",
      "unstructured": "Grignon P, Fadel GM (1994) Fuzzy move limit evaluation in structural optimization. In: The 5th AIAA/NASA/USAF/ISSMO fifth symposium on multidisciplinary analysis and optimization, Panama City, FL, 7\u20139 September, AIAA-94-4281"
    },
    {
      "key": "420_CR64",
      "doi-asserted-by": "crossref",
      "unstructured": "Gu L (2001) A comparison of polynomial based regression models in vehicle safety analysis. In: Proceedings of 2001 ASME design engineering technical conferences\u2014design automation conference, Pittsburgh, PA, 9\u201312 September",
      "DOI": "10.1115/DETC2001/DAC-21063"
    },
    {
      "issue": "9",
      "key": "420_CR65",
      "doi-asserted-by": "crossref",
      "first-page": "1523",
      "DOI": "10.2514/3.10768",
      "volume": "29",
      "author": "RT Haftka",
      "year": "1991",
      "unstructured": "Haftka RT (1991) Combining global and local approximations. AIAA J 29(9):1523\u20131525",
      "journal-title": "AIAA J"
    },
    {
      "issue": "7",
      "key": "420_CR66",
      "doi-asserted-by": "crossref",
      "first-page": "435",
      "DOI": "10.1115/1.3099014",
      "volume": "51",
      "author": "RT Haftka",
      "year": "1998",
      "unstructured": "Haftka RT, Scott EP, Cruz JR (1998) Optimization and experiments: a survey. Appl Mech Rev 51(7):435\u2013448",
      "journal-title": "Appl Mech Rev"
    },
    {
      "key": "420_CR67",
      "doi-asserted-by": "crossref",
      "first-page": "135",
      "DOI": "10.1007/BF00547132",
      "volume": "32",
      "author": "DM Hamby",
      "year": "1994",
      "unstructured": "Hamby DM (1994) A review of techniques for parameter sensitivity analysis of environmental models. Environ Monit Assess 32:135\u2013154",
      "journal-title": "Environ Monit Assess"
    },
    {
      "key": "420_CR68",
      "doi-asserted-by": "crossref",
      "unstructured": "Harada T et al (2006) Screening parameters of pulmonary and cardiovascular integrated model with sensitivity analysis. In: Proceedings of the 28th IEEE EMBS annual international conference, New York City, USA, 30 Aug\u20133 Sept 2006",
      "DOI": "10.1109/IEMBS.2006.259618"
    },
    {
      "key": "420_CR69",
      "doi-asserted-by": "crossref",
      "DOI": "10.1007/978-1-4612-1478-6",
      "volume-title": "Orthogonal arrays: theory and applications",
      "author": "AS Hedayat",
      "year": "1999",
      "unstructured": "Hedayat AS, Sloane NJA, Stufken J (1999) Orthogonal arrays: theory and applications. Springer, New York"
    },
    {
      "issue": "4",
      "key": "420_CR70",
      "doi-asserted-by": "crossref",
      "first-page": "571",
      "DOI": "10.2307/1266632",
      "volume": "8",
      "author": "WJ Hill",
      "year": "1966",
      "unstructured": "Hill WJ, Hunter WG (1966) A review of response surface methodology: a literature survey. Technometrics 8(4):571\u2013590",
      "journal-title": "Technometrics"
    },
    {
      "key": "420_CR71",
      "volume-title": "Adaptation in natural and artificial systems",
      "author": "JH Holland",
      "year": "1975",
      "unstructured": "Holland JH (1975) Adaptation in natural and artificial systems. University of Michigan Press, Ann Arbor"
    },
    {
      "key": "420_CR72",
      "doi-asserted-by": "crossref",
      "unstructured": "Hooker G (2004) Discovering additive structure in black box functions. In: Proceedings of the tenth ACM SIGKDD international conference on knowledge discovery and data mining, Seattle, WA, USA, 22\u201325 August",
      "DOI": "10.1145/1014052.1014122"
    },
    {
      "issue": "17",
      "key": "420_CR73",
      "doi-asserted-by": "crossref",
      "first-page": "1749",
      "DOI": "10.1080/03610928008827996",
      "volume": "9",
      "author": "RL Iman",
      "year": "1980",
      "unstructured": "Iman RL, Conover WJ (1980) Small sensitivity analysis techniques for computer models with an application to risk assessment. Commun. Stat, Theory and Methods A 9(17):1749\u20131842",
      "journal-title": "Commun. Stat, Theory and Methods A"
    },
    {
      "key": "420_CR74",
      "volume-title": "Quasi-regression for visualization and interpretation of black box functions",
      "author": "T Jiang",
      "year": "2002",
      "unstructured": "Jiang T, Owen AB (2002) Quasi-regression for visualization and interpretation of black box functions. Stanford University, Stanford"
    },
    {
      "issue": "3-6",
      "key": "420_CR75",
      "doi-asserted-by": "crossref",
      "first-page": "231",
      "DOI": "10.1016/S0378-4754(02)00253-7",
      "volume": "62",
      "author": "T Jiang",
      "year": "2003",
      "unstructured": "Jiang T, Owen AB (2003) Quasi-regression with shrinkage. Math Comput Simul 62(3-6):231\u2013241",
      "journal-title": "Math Comput Simul"
    },
    {
      "issue": "1",
      "key": "420_CR76",
      "doi-asserted-by": "crossref",
      "first-page": "1",
      "DOI": "10.1007/s00158-001-0160-4",
      "volume": "23",
      "author": "R Jin",
      "year": "2001",
      "unstructured": "Jin R, Chen W, Simpson TW (2001) Comparative studies of metamodeling techniques under multiple modeling criteria. Struct Multidisc Optim 23(1):1\u201313",
      "journal-title": "Struct Multidisc Optim"
    },
    {
      "key": "420_CR77",
      "doi-asserted-by": "crossref",
      "unstructured": "Jin R, Chen W, Sudjianto A (2002) On sequential sampling for global metamodeling in engineering design. In: The ASME 2002 design engineering technical conferences and computer and information in engineering conference, Montreal, Canada, 29 September\u20132 October",
      "DOI": "10.1115/DETC2002/DAC-34092"
    },
    {
      "key": "420_CR78",
      "doi-asserted-by": "crossref",
      "unstructured": "Jin R, Chen W, Sudjianto A (2004) Analytical metamodel-based global sensitivity analysis and uncertainty propagation for robust design. In: SAE 2004 world congress, Detroit, MI, USA, 8\u201311 March, SAE 2004-01-0429",
      "DOI": "10.4271/2004-01-0429"
    },
    {
      "issue": "1",
      "key": "420_CR79",
      "doi-asserted-by": "crossref",
      "first-page": "268",
      "DOI": "10.1016/j.jspi.2004.02.014",
      "volume": "134",
      "author": "R Jin",
      "year": "2005",
      "unstructured": "Jin R, Chen W, Sudjianto A (2005) An efficient algorithm for constructing optimal design of computer experiments. J Stat Plan Inference 134(1):268\u2013287",
      "journal-title": "J Stat Plan Inference"
    },
    {
      "issue": "1",
      "key": "420_CR80",
      "doi-asserted-by": "crossref",
      "first-page": "15",
      "DOI": "10.1080/00401706.1975.10489266",
      "volume": "17",
      "author": "RCS John",
      "year": "1975",
      "unstructured": "John RCS, Draper NR (1975) D-Optimality for regression designs: a review. Technometrics 17(1):15\u201323",
      "journal-title": "Technometrics"
    },
    {
      "issue": "2",
      "key": "420_CR81",
      "doi-asserted-by": "crossref",
      "first-page": "131",
      "DOI": "10.1016/0378-3758(90)90122-B",
      "volume": "26",
      "author": "ME Johnson",
      "year": "1990",
      "unstructured": "Johnson ME, Moore LM, Ylvisaker D (1990) Minimax and maximin distance designs. J Stat Plan Inference 26(2):131\u2013148",
      "journal-title": "J Stat Plan Inference"
    },
    {
      "issue": "1",
      "key": "420_CR82",
      "doi-asserted-by": "crossref",
      "first-page": "157",
      "DOI": "10.1007/BF00941892",
      "volume": "79",
      "author": "DR Jones",
      "year": "1993",
      "unstructured": "Jones DR, Perttunen CD, Stuckman BE (1993) Lipschitzian optimization without the Lipschitz constant. J Optim Theory Appl 79(1):157\u2013181",
      "journal-title": "J Optim Theory Appl"
    },
    {
      "key": "420_CR83",
      "doi-asserted-by": "crossref",
      "first-page": "455",
      "DOI": "10.1023/A:1008306431147",
      "volume": "13",
      "author": "DR Jones",
      "year": "1998",
      "unstructured": "Jones DR, Schonlau M, Welch WJ (1998) Efficient global optimization of expensive black-box functions. J Glob Optim 13:455\u2013492",
      "journal-title": "J Glob Optim"
    },
    {
      "key": "420_CR84",
      "unstructured": "Joseph VR, Hung Y, Sudjianto A (2006) Blind kriging: a new method for developing metamodels. http://www2.isye.gatech.edu/statistics/papers/ . Accessed 8 August 2008"
    },
    {
      "key": "420_CR85",
      "doi-asserted-by": "crossref",
      "unstructured": "Kaski S (1998) Dimensionality reduction by random mapping: fast similarity computation for clustering. In: The neural networks proceedings, 1998. IEEE world congress on computational intelligence, Anchorage, AK, USA, 4\u20139 May",
      "DOI": "10.1109/IJCNN.1998.682302"
    },
    {
      "key": "420_CR86",
      "doi-asserted-by": "crossref",
      "first-page": "112",
      "DOI": "10.1007/BF00350530",
      "volume": "18",
      "author": "M Kaufman",
      "year": "1996",
      "unstructured": "Kaufman M, Balabanov V, Burgee SL, Giunta AA, Grossman B, Haftka RT et al (1996) Variable-complexity response surface approximations for wing structural weight in HSCT design. Comput Mech 18:112\u2013126",
      "journal-title": "Comput Mech"
    },
    {
      "key": "420_CR87",
      "doi-asserted-by": "crossref",
      "first-page": "106",
      "DOI": "10.1016/j.comphy.2003.12.005",
      "volume": "158",
      "author": "H Kaya",
      "year": "2004",
      "unstructured": "Kaya H, Kaplan M, Saygin H (2004) A recursive algorithm for finding HDMR terms for sensitivity analysis. Comput Phys Commun 158:106\u2013112",
      "journal-title": "Comput Phys Commun"
    },
    {
      "key": "420_CR88",
      "doi-asserted-by": "crossref",
      "unstructured": "Kennedy J, Eberhart RC (1995) Particle swarm optimization. In: Proceedings of IEEE international conference on neural networks, Perth, WA, Australia, 27 Nov 1995, pp 1942\u20131948",
      "DOI": "10.1109/ICNN.1995.488968"
    },
    {
      "issue": "3",
      "key": "420_CR89",
      "doi-asserted-by": "crossref",
      "first-page": "425",
      "DOI": "10.1111/1467-9868.00294",
      "volume": "63",
      "author": "MC Kennedy",
      "year": "2001",
      "unstructured": "Kennedy MC, O\u2019Hagan A (2001) Bayesian calibration of computer models. J R Stat Soc B 63(3):425\u2013464",
      "journal-title": "J R Stat Soc B"
    },
    {
      "key": "420_CR90",
      "doi-asserted-by": "crossref",
      "first-page": "474",
      "DOI": "10.1115/1.1582501",
      "volume": "125",
      "author": "HM Kim",
      "year": "2003",
      "unstructured": "Kim HM, Michelena NF, Papalambros PY, Jiang T (2003) Target cascading in optimal system design. ASME J Mech Des 125:474\u2013480",
      "journal-title": "ASME J Mech Des"
    },
    {
      "key": "420_CR91",
      "doi-asserted-by": "crossref",
      "first-page": "671",
      "DOI": "10.1126/science.220.4598.671",
      "volume": "220",
      "author": "S Kirkpatrick",
      "year": "1983",
      "unstructured": "Kirkpatrick S et al (1983) Optimization by simulated annealing. Science 220:671\u2013680",
      "journal-title": "Science"
    },
    {
      "key": "420_CR92",
      "doi-asserted-by": "crossref",
      "unstructured": "Koch PN, Allen JK, Mistree F, Mavris DN (1997) The problem of size in robust design. In: ASME advances in design automation",
      "DOI": "10.1115/DETC97/DAC-3983"
    },
    {
      "issue": "1",
      "key": "420_CR93",
      "doi-asserted-by": "crossref",
      "first-page": "275",
      "DOI": "10.2514/2.2435",
      "volume": "36",
      "author": "PN Koch",
      "year": "1999",
      "unstructured": "Koch PN, Simpson TW, Allen JK, Mistree F (1999) Statistical approximations for multidisciplinary design optimization: the problem of size. J Aircr 36(1):275\u2013286",
      "journal-title": "J Aircr"
    },
    {
      "issue": "5",
      "key": "420_CR94",
      "doi-asserted-by": "crossref",
      "first-page": "875",
      "DOI": "10.2514/2.1042",
      "volume": "38",
      "author": "PN Koch",
      "year": "2000",
      "unstructured": "Koch PN, Mavris D, Mistree F (2000) Partitioned, multilevel response surfaces for modeling complex systems. AIAA J 38(5):875\u2013881",
      "journal-title": "AIAA J"
    },
    {
      "issue": "8",
      "key": "420_CR95",
      "doi-asserted-by": "crossref",
      "first-page": "1479",
      "DOI": "10.2514/2.1126",
      "volume": "38",
      "author": "S Kodiyalam",
      "year": "2000",
      "unstructured": "Kodiyalam S, Sobieszczanski-Sobieski J (2000) Bilevel integrated system synthesis with response surfaces. AIAA J 38(8):1479\u20131485",
      "journal-title": "AIAA J"
    },
    {
      "key": "420_CR96",
      "doi-asserted-by": "crossref",
      "first-page": "503",
      "DOI": "10.1115/1.2168470",
      "volume": "128",
      "author": "M Kokkolaras",
      "year": "2006",
      "unstructured": "Kokkolaras M, Mourelatos ZP, Papalambros PY (2006) Design optimization of hierarchically decomposed multilevel systems under uncertainty. ASME J Mech Des 128:503\u2013508",
      "journal-title": "ASME J Mech Des"
    },
    {
      "key": "420_CR97",
      "doi-asserted-by": "crossref",
      "first-page": "448",
      "DOI": "10.1115/1.2826389",
      "volume": "119",
      "author": "RS Krishnamachari",
      "year": "1997",
      "unstructured": "Krishnamachari RS, Papalambros PY (1997a) Hierarchical decomposition synthesis in optimal systems design. ASME J Mech Des 119:448\u2013457",
      "journal-title": "ASME J Mech Des"
    },
    {
      "key": "420_CR98",
      "doi-asserted-by": "crossref",
      "first-page": "440",
      "DOI": "10.1115/1.2826388",
      "volume": "119",
      "author": "RS Krishnamachari",
      "year": "1997",
      "unstructured": "Krishnamachari RS, Papalambros PY (1997b) Optimal hierarchical decomposition synthesis using integer programming. ASME J Mech Des 119:440\u2013447",
      "journal-title": "ASME J Mech Des"
    },
    {
      "issue": "special 50th an",
      "key": "420_CR99",
      "doi-asserted-by": "crossref",
      "first-page": "17",
      "DOI": "10.1115/1.2836453",
      "volume": "117",
      "author": "A Kusiak",
      "year": "1995",
      "unstructured": "Kusiak A, Larson N (1995) Decomposition and representation methods in mechanical design. ASME J Mech Des 117(special 50th anniversary design issue):17\u201324",
      "journal-title": "ASME J Mech Des"
    },
    {
      "key": "420_CR100",
      "doi-asserted-by": "crossref",
      "first-page": "659",
      "DOI": "10.1115/1.2917057",
      "volume": "114",
      "author": "A Kusiak",
      "year": "1992",
      "unstructured": "Kusiak A, Szczerbicki E (1992) A formal approach to specifications in conceptual design. ASME J Mech Des 114:659\u2013666",
      "journal-title": "ASME J Mech Des"
    },
    {
      "key": "420_CR101",
      "doi-asserted-by": "crossref",
      "first-page": "687",
      "DOI": "10.1115/1.2919255",
      "volume": "115",
      "author": "A Kusiak",
      "year": "1993",
      "unstructured": "Kusiak A, Wang J (1993) Decomposition of the design process. ASME J Mech Des 115:687\u2013693",
      "journal-title": "ASME J Mech Des"
    },
    {
      "issue": "3",
      "key": "420_CR102",
      "doi-asserted-by": "crossref",
      "first-page": "477",
      "DOI": "10.1287/opre.1040.0178",
      "volume": "53",
      "author": "TJ Lambert III",
      "year": "2005",
      "unstructured": "Lambert TJ III, Epelman MA, Smith RL (2005) A fictitious play approach to large-scale optimization. Oper Res 53(3):477\u2013489",
      "journal-title": "Oper Res"
    },
    {
      "key": "420_CR103",
      "doi-asserted-by": "crossref",
      "first-page": "385",
      "DOI": "10.1023/A:1016038305014",
      "volume": "2",
      "author": "SJ Leary",
      "year": "2001",
      "unstructured": "Leary SJ, Bhaskar A, Keane AJ (2001) A constraint mapping approach to the structural optimization of an expensive model using surrogates. J Optim Eng 2:385\u2013398",
      "journal-title": "J Optim Eng"
    },
    {
      "key": "420_CR104",
      "doi-asserted-by": "crossref",
      "first-page": "297",
      "DOI": "10.1023/A:1023283917997",
      "volume": "26",
      "author": "SJ Leary",
      "year": "2003",
      "unstructured": "Leary SJ, Bhaskar A, Keane AJ (2003) A knowledge-based approach to response surface modeling in multifidelity optimization. J Glob Optim 26:297\u2013319",
      "journal-title": "J Glob Optim"
    },
    {
      "issue": "1",
      "key": "420_CR105",
      "doi-asserted-by": "crossref",
      "first-page": "23",
      "DOI": "10.1109/6144.833038",
      "volume": "23",
      "author": "N Leoni",
      "year": "2000",
      "unstructured": "Leoni N, Amon CH (2000) Bayesian surrogates for integrating numerical, analytical and experimental data: application to inverse heat transfer in wearable computers. IEEE Trans Compon Packag Technol 23(1):23\u201332",
      "journal-title": "IEEE Trans Compon Packag Technol"
    },
    {
      "key": "420_CR106",
      "doi-asserted-by": "crossref",
      "first-page": "78",
      "DOI": "10.1504/IJPD.2009.026175",
      "volume": "9",
      "author": "S Li",
      "year": "2009",
      "unstructured": "Li S (2009) Matrix-based decomposition algorithms for engineering application: survey and generic framework. Int J Prod Dev 9:78\u2013110",
      "journal-title": "Int J Prod Dev"
    },
    {
      "issue": "33",
      "key": "420_CR107",
      "doi-asserted-by": "crossref",
      "first-page": "7765",
      "DOI": "10.1021/jp010450t",
      "volume": "105",
      "author": "G Li",
      "year": "2001",
      "unstructured": "Li G, Rosenthal C, Rabitz H (2001a) High dimensional model representations. J Phys Chem A 105(33):7765\u20137777",
      "journal-title": "J Phys Chem A"
    },
    {
      "issue": "1",
      "key": "420_CR108",
      "doi-asserted-by": "crossref",
      "first-page": "1",
      "DOI": "10.1023/A:1013172329778",
      "volume": "30",
      "author": "G Li",
      "year": "2001",
      "unstructured": "Li G, Wang S-W, Rosenthal C, Rabitz H (2001b) High dimensional model representations generated from low dimensional data samples. I. mp-Cut-HDMR. J Math Chem 30(1):1\u201330",
      "journal-title": "J Math Chem"
    },
    {
      "key": "420_CR109",
      "doi-asserted-by": "crossref",
      "first-page": "2474",
      "DOI": "10.1021/jp054148m",
      "volume": "110",
      "author": "G Li",
      "year": "2006",
      "unstructured": "Li G, Hu J, Wang S-W, Georgopoulos PG, Schoendorf J, Rabitz H (2006) Random sampling-high dimensional model representation (RS-HDMR) and orthogonality of its different order component functions. J Phys Chem A 110:2474\u20132485",
      "journal-title": "J Phys Chem A"
    },
    {
      "key": "420_CR110",
      "doi-asserted-by": "crossref",
      "first-page": "1",
      "DOI": "10.1115/1.2912745",
      "volume": "113",
      "author": "SC-Y Lu",
      "year": "1991",
      "unstructured": "Lu SC-Y, Tcheng DK (1991) Building layered models to support engineering decision making: a machine learning approach. ASME J Mech Des 113:1\u20139",
      "journal-title": "ASME J Mech Des"
    },
    {
      "key": "420_CR111",
      "doi-asserted-by": "crossref",
      "first-page": "579",
      "DOI": "10.1016/S0094-114X(03)00010-7",
      "volume": "38",
      "author": "FTS Marin",
      "year": "2003",
      "unstructured": "Marin FTS, Gonzalez AP (2003) Global optimization in path synthesis based on design space reduction. Mech Mach Theory 38:579\u2013594",
      "journal-title": "Mech Mach Theory"
    },
    {
      "issue": "4",
      "key": "420_CR112",
      "doi-asserted-by": "crossref",
      "first-page": "853",
      "DOI": "10.2514/1.8650",
      "volume": "43",
      "author": "JD Martin",
      "year": "2005",
      "unstructured": "Martin JD, Simpson TW (2005) Use of kriging models to approximate deterministic computer models. AIAA J 43(4):853\u2013863",
      "journal-title": "AIAA J"
    },
    {
      "issue": "2",
      "key": "420_CR113",
      "first-page": "239",
      "volume": "21",
      "author": "MD McKay",
      "year": "1979",
      "unstructured": "McKay MD, Bechman RJ, Conover WJ (1979) A comparison of three methods for selecting values of input variables in the analysis of output from a computer code. Technometrics 21(2):239\u2013245",
      "journal-title": "Technometrics"
    },
    {
      "issue": "10",
      "key": "420_CR114",
      "doi-asserted-by": "crossref",
      "first-page": "2053",
      "DOI": "10.2514/2.1538",
      "volume": "40",
      "author": "M Meckesheimer",
      "year": "2002",
      "unstructured": "Meckesheimer M, Booker AJ, Barton RR, Simpson TW (2002) Computationally inexpensive metamodel assessment strategies. AIAA J 40(10):2053\u20132060",
      "journal-title": "AIAA J"
    },
    {
      "key": "420_CR115",
      "doi-asserted-by": "crossref",
      "first-page": "433",
      "DOI": "10.1115/1.2826697",
      "volume": "117",
      "author": "NF Michelena",
      "year": "1995",
      "unstructured": "Michelena NF, Papalambros PY (1995a) A network reliability approach to optimal decomposition of design problems. ASME J Mech Des 117:433\u2013440",
      "journal-title": "ASME J Mech Des"
    },
    {
      "key": "420_CR116",
      "doi-asserted-by": "crossref",
      "first-page": "499",
      "DOI": "10.1115/1.2826710",
      "volume": "117",
      "author": "NF Michelena",
      "year": "1995",
      "unstructured": "Michelena NF, Papalambros PY (1995b) Optimal model-based decomposition of powertrain system design. ASME J Mech Des 117:499\u2013505",
      "journal-title": "ASME J Mech Des"
    },
    {
      "issue": "2",
      "key": "420_CR117",
      "doi-asserted-by": "crossref",
      "first-page": "173",
      "DOI": "10.1023/A:1008673321406",
      "volume": "8",
      "author": "NF Michelena",
      "year": "1997",
      "unstructured": "Michelena NF, Papalambros PY (1997) A hypergraph framework for optimal model-based decomposition of design problems. Comput Optim Appl 8(2):173\u2013196",
      "journal-title": "Comput Optim Appl"
    },
    {
      "key": "420_CR118",
      "unstructured": "Michelena N, Jiang T, Papalambros P (1995) Decomposition of simultaneous analysis and design models. In: Proceedings of the 1st world congress of structural and multidisciplinary optimization, pp 845\u2013850"
    },
    {
      "issue": "7",
      "key": "420_CR119",
      "doi-asserted-by": "crossref",
      "first-page": "890",
      "DOI": "10.2514/2.7538",
      "volume": "37",
      "author": "N Michelena",
      "year": "1999",
      "unstructured": "Michelena N, Papalambros P, Park HA, Kulkarni D (1999) Hierarchical overlapping coordination for large-scale optimization by decomposition. AIAA J 37(7):890\u2013896",
      "journal-title": "AIAA J"
    },
    {
      "key": "420_CR120",
      "first-page": "359",
      "volume": "2",
      "author": "TJ Mitchell",
      "year": "1992",
      "unstructured": "Mitchell TJ, Morris MD (1992) Bayesian design and analysis of computer experiments: two examples. Stat Sinica 2:359\u2013379",
      "journal-title": "Stat Sinica"
    },
    {
      "issue": "2",
      "key": "420_CR121",
      "doi-asserted-by": "crossref",
      "first-page": "161",
      "DOI": "10.1080/00401706.1991.10484804",
      "volume": "33",
      "author": "MD Morris",
      "year": "1991",
      "unstructured": "Morris MD (1991) Factorial sampling plans for preliminary computational experiments. Technometrics 33(2):161\u2013174",
      "journal-title": "Technometrics"
    },
    {
      "issue": "4",
      "key": "420_CR122",
      "doi-asserted-by": "crossref",
      "first-page": "345",
      "DOI": "10.1080/00401706.1983.10487897",
      "volume": "25",
      "author": "MD Morris",
      "year": "1983",
      "unstructured": "Morris MD, Mitchell TJ (1983) Two-level multifactor designs for detecting the presence of interactions. Technometrics 25(4):345\u2013355",
      "journal-title": "Technometrics"
    },
    {
      "key": "420_CR123",
      "doi-asserted-by": "crossref",
      "first-page": "381",
      "DOI": "10.1016/0378-3758(94)00035-T",
      "volume": "43",
      "author": "MD Morris",
      "year": "1995",
      "unstructured": "Morris MD, Mitchell TJ (1995) Exploratory designs for computational experiments. J Stat Plan Inference 43:381\u2013402",
      "journal-title": "J Stat Plan Inference"
    },
    {
      "issue": "3",
      "key": "420_CR124",
      "doi-asserted-by": "crossref",
      "first-page": "243",
      "DOI": "10.1080/00401706.1993.10485320",
      "volume": "35",
      "author": "MD Morris",
      "year": "1993",
      "unstructured": "Morris MD, Mitchell TJ, Ylvisaker D (1993) Bayesian design and analysis of computer experiments: use of derivatives in surface prediction. Technometrics 35(3):243\u2013255",
      "journal-title": "Technometrics"
    },
    {
      "key": "420_CR125",
      "volume-title": "Response surface methodology: process and product optimization using designed experiments",
      "author": "RH Myers",
      "year": "1995",
      "unstructured": "Myers RH, Montgomery D (1995) Response surface methodology: process and product optimization using designed experiments. Wiley, Toronto"
    },
    {
      "key": "420_CR126",
      "volume-title": "A computationally effective multi-objective search and optimization technique using coarse-to-fine grain modeling (KanGal report no. 2002005)",
      "author": "PKS Nain",
      "year": "2002",
      "unstructured": "Nain PKS, Deb K (2002) A computationally effective multi-objective search and optimization technique using coarse-to-fine grain modeling (KanGal report no. 2002005). Indian Institute of Technology Kanpur, Kanpur"
    },
    {
      "issue": "3",
      "key": "420_CR127",
      "doi-asserted-by": "crossref",
      "first-page": "751",
      "DOI": "10.1111/j.1467-9868.2004.05304.x",
      "volume": "66",
      "author": "JE Oakley",
      "year": "2004",
      "unstructured": "Oakley JE, O\u2019Hagan A (2004) Probabilistic sensitivity analysis of complex models: a Bayesian approach. J R Stat Soc B 66(3):751\u2013769",
      "journal-title": "J R Stat Soc B"
    },
    {
      "key": "420_CR128",
      "doi-asserted-by": "crossref",
      "first-page": "347",
      "DOI": "10.1016/S0378-4754(97)00061-X",
      "volume": "44",
      "author": "J Otto",
      "year": "1997",
      "unstructured": "Otto J, Paraschivoiu M, Yesilyurt S, Patera AT (1997) Bayesian-validated computer-simulation surrogates for optimization and design: error estimates and applications. Math Comput Simul 44:347\u2013367",
      "journal-title": "Math Comput Simul"
    },
    {
      "key": "420_CR129",
      "first-page": "439",
      "volume": "2",
      "author": "AB Owen",
      "year": "1992",
      "unstructured": "Owen AB (1992a) Orthogonal arrays for computer experiments, integration, and visualization. Stat Sinica 2:439\u2013452",
      "journal-title": "Stat Sinica"
    },
    {
      "issue": "2",
      "key": "420_CR130",
      "doi-asserted-by": "crossref",
      "first-page": "541",
      "DOI": "10.1111/j.2517-6161.1992.tb01895.x",
      "volume": "54",
      "author": "AB Owen",
      "year": "1992",
      "unstructured": "Owen AB (1992b) A central limit theorem for Latin hypercube sampling. J R Stat Soc 54(2):541\u2013551",
      "journal-title": "J R Stat Soc"
    },
    {
      "key": "420_CR131",
      "volume-title": "Detecting near linearity in high dimensions",
      "author": "AB Owen",
      "year": "1998",
      "unstructured": "Owen AB (1998) Detecting near linearity in high dimensions. Stanford University, Stanford"
    },
    {
      "issue": "1",
      "key": "420_CR132",
      "doi-asserted-by": "crossref",
      "first-page": "1",
      "DOI": "10.1214/aos/1016120362",
      "volume": "28",
      "author": "AB Owen",
      "year": "2000",
      "unstructured": "Owen AB (2000) Assessing linearity in high dimensions. Ann Stat 28(1):1\u201319",
      "journal-title": "Ann Stat"
    },
    {
      "issue": "special 50th an",
      "key": "420_CR133",
      "doi-asserted-by": "crossref",
      "first-page": "55",
      "DOI": "10.1115/1.2836471",
      "volume": "117",
      "author": "PY Papalambros",
      "year": "1995",
      "unstructured": "Papalambros PY (1995) Optimal design of mechanical engineering systems. ASME J Mech Des 117(special 50th anniversary design issue):55\u201362",
      "journal-title": "ASME J Mech Des"
    },
    {
      "key": "420_CR134",
      "unstructured": "Papalambros PY, Michelena NF (1997) Model-based partitioning in optimal design of large engineering systems. In: Multidisciplinary design optimization: state-of-the-art. SIAM, pp 209\u2013226"
    },
    {
      "key": "420_CR135",
      "unstructured": "Papalambros PY, Michelena NF (2000) Trends and challenges in system design optimization. In: Proceedings of the international workshop on multidisciplinary design optimization, Pretoria, S. Africa, 7\u201310 August"
    },
    {
      "key": "420_CR136",
      "unstructured": "Penha RML, Hines JW (2001) Using principal component analysis modeling to monitor temperature sensors in a nuclear research reactor. In: Proceedings of the maintenance and reliability conference (MARCON 2001), Knoxville, TN, 6\u20139 May"
    },
    {
      "key": "420_CR137",
      "doi-asserted-by": "crossref",
      "unstructured": "P\u00e9rez VM, Apker TB, Renaud JE (2002a) Parallel processing in sequential approximate optimization. In: The 43rd AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics, and materials conference, Denver, Colorado, 22\u201325 Apr, AIAA-2002-1589",
      "DOI": "10.2514/6.2002-1589"
    },
    {
      "key": "420_CR138",
      "doi-asserted-by": "crossref",
      "unstructured": "P\u00e9rez VM, Renaud JE, Watson LT (2002b) Reduced sampling for construction of quadratic response surface approximations using adaptive experimental design. In: The 43rd AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics, and materials conference, Denver, Colorado, 22\u201325 Apr, AIAA-2002-1587",
      "DOI": "10.2514/6.2002-1587"
    },
    {
      "key": "420_CR139",
      "doi-asserted-by": "crossref",
      "first-page": "1",
      "DOI": "10.1016/j.paerosci.2005.02.001",
      "volume": "41",
      "author": "NV Queipo",
      "year": "2005",
      "unstructured": "Queipo NV et al (2005) Surrogate-based analysis and optimization. Prog Aerospace Sci 41:1\u201318",
      "journal-title": "Prog Aerospace Sci"
    },
    {
      "key": "420_CR140",
      "doi-asserted-by": "crossref",
      "first-page": "197",
      "DOI": "10.1023/A:1019188517934",
      "volume": "25",
      "author": "H Rabitz",
      "year": "1999",
      "unstructured": "Rabitz H, Alis \u00d6F (1999) General foundations of high-dimensional model representations. J Math Chem 25:197\u2013233",
      "journal-title": "J Math Chem"
    },
    {
      "key": "420_CR141",
      "doi-asserted-by": "crossref",
      "first-page": "11",
      "DOI": "10.1016/S0010-4655(98)00152-0",
      "volume": "117",
      "author": "H Rabitz",
      "year": "1999",
      "unstructured": "Rabitz H, Alis \u00d6F, Shorter J, Shim K (1999) Efficient input\u2013output model representations. Comput Phys Commun 117:11\u201320",
      "journal-title": "Comput Phys Commun"
    },
    {
      "issue": "11",
      "key": "420_CR142",
      "doi-asserted-by": "crossref",
      "first-page": "2127",
      "DOI": "10.2514/2.875",
      "volume": "38",
      "author": "SS Rao",
      "year": "2000",
      "unstructured": "Rao SS, Mulkay EL (2000) Engineering design optimization using interior-point algorithms. AIAA J 38(11):2127\u20132132",
      "journal-title": "AIAA J"
    },
    {
      "issue": "4",
      "key": "420_CR143",
      "doi-asserted-by": "crossref",
      "first-page": "373",
      "DOI": "10.1002/1096-987X(200103)22:4<373::AID-JCC1009>3.0.CO;2-8",
      "volume": "22",
      "author": "DN Rassokhin",
      "year": "2000",
      "unstructured": "Rassokhin DN, Lobanov VS, Agratiotis DK (2000) Nonlinear mapping of massive data sets by fuzzy clustering and neural networks. J Comput Chem 22(4):373\u2013386",
      "journal-title": "J Comput Chem"
    },
    {
      "issue": "5",
      "key": "420_CR144",
      "doi-asserted-by": "crossref",
      "first-page": "1191",
      "DOI": "10.1137/0724078",
      "volume": "24",
      "author": "H Ratschek",
      "year": "1987",
      "unstructured": "Ratschek H, Rokne JG (1987) Efficiency of a global optimization algorithm. SIAM J Numer Anal 24(5):1191\u20131201",
      "journal-title": "SIAM J Numer Anal"
    },
    {
      "key": "420_CR145",
      "doi-asserted-by": "crossref",
      "first-page": "514",
      "DOI": "10.1016/j.ejor.2006.08.040",
      "volume": "182",
      "author": "RG Regis",
      "year": "2007",
      "unstructured": "Regis RG, Shoemaker CA (2007a) Parallel radial basis function methods for the global optimization of expensive functions. Eur J Oper Res 182:514\u2013535",
      "journal-title": "Eur J Oper Res"
    },
    {
      "issue": "4",
      "key": "420_CR146",
      "doi-asserted-by": "crossref",
      "first-page": "497",
      "DOI": "10.1287/ijoc.1060.0182",
      "volume": "19",
      "author": "RG Regis",
      "year": "2007",
      "unstructured": "Regis RG, Shoemaker CA (2007b) A stochastic radial basis function method for the global optimization of expensive functions. INFORMS J Comput 19(4):497\u2013509",
      "journal-title": "INFORMS J Comput"
    },
    {
      "key": "420_CR147",
      "first-page": "347",
      "volume": "65-2",
      "author": "JE Renaud",
      "year": "1993",
      "unstructured": "Renaud JE (1993) Second order based multidisciplinary design optimization algorithm development. Adv Des Autom 65-2:347\u2013357",
      "journal-title": "Adv Des Autom"
    },
    {
      "key": "420_CR148",
      "first-page": "191",
      "volume": "32-1",
      "author": "JE Renaud",
      "year": "1991",
      "unstructured": "Renaud JE, Gabriele GA (1991) Sequential global approximation in non-hierarchic system decomposition and optimization. Adv Des Autom 32-1:191\u2013200",
      "journal-title": "Adv Des Autom"
    },
    {
      "key": "420_CR149",
      "doi-asserted-by": "crossref",
      "first-page": "58",
      "DOI": "10.1115/1.2826677",
      "volume": "120",
      "author": "JF Rodr\u00edguez",
      "year": "1998",
      "unstructured": "Rodr\u00edguez JF, Renaud JE, Watson LT (1998) Trust region augmented Lagrangian methods for sequential response surface approximation and optimization. ASME J Mech Des 120:58\u201366",
      "journal-title": "ASME J Mech Des"
    },
    {
      "issue": "1",
      "key": "420_CR150",
      "doi-asserted-by": "crossref",
      "first-page": "41",
      "DOI": "10.1080/00401706.1989.10488474",
      "volume": "31",
      "author": "J Sacks",
      "year": "1989",
      "unstructured": "Sacks J, Schiller SB, Welch WJ (1989a) Designs for computer experiments. Technometrics 31(1):41\u201347",
      "journal-title": "Technometrics"
    },
    {
      "issue": "4",
      "key": "420_CR151",
      "doi-asserted-by": "crossref",
      "first-page": "409",
      "DOI": "10.1214/ss/1177012413",
      "volume": "4",
      "author": "J Sacks",
      "year": "1989",
      "unstructured": "Sacks J, Welch WJ, Mitchell TJ, Wynn HP (1989b) Design and analysis of computer experiments. Stat Sci 4(4):409\u2013435",
      "journal-title": "Stat Sci"
    },
    {
      "issue": "10",
      "key": "420_CR152",
      "doi-asserted-by": "crossref",
      "first-page": "1222",
      "DOI": "10.1109/12.257708",
      "volume": "42",
      "author": "A Saha",
      "year": "1993",
      "unstructured": "Saha A, Wu C-L, Tang D-S (1993) Approximation, dimension reduction, and nonconvex optimization using linear superpositions of Gaussians. IEEE Trans Comput 42(10):1222\u20131233",
      "journal-title": "IEEE Trans Comput"
    },
    {
      "issue": "5",
      "key": "420_CR153",
      "doi-asserted-by": "crossref",
      "first-page": "401",
      "DOI": "10.1109/T-C.1969.222678",
      "volume": "C-18",
      "author": "JW Sammon",
      "year": "1969",
      "unstructured": "Sammon JW (1969) A nonlinear mapping for data structure analysis. IEEE Trans Comput C-18(5):401\u2013409",
      "journal-title": "IEEE Trans Comput"
    },
    {
      "key": "420_CR154",
      "doi-asserted-by": "crossref",
      "unstructured": "Schonlau M, Welch WJ (2006) Screening the input variables to a computer model via analysis of variance and visualization. Paper presented at the screening methods for experimentation in industry, drug discovery, and genetics springer, New York",
      "DOI": "10.1007/0-387-28014-6_14"
    },
    {
      "key": "420_CR155",
      "series-title": "Lecture notes-monograph series",
      "doi-asserted-by": "crossref",
      "first-page": "11",
      "DOI": "10.1214/lnms/1215456182",
      "volume-title": "New development and applications in experimental design",
      "author": "M Schonlau",
      "year": "1998",
      "unstructured": "Schonlau M, Welch WJ, Jones DR (1998) Global versus local search in constrained optimization of computer models. In: Flournoy N, Rosenberger WF, Wong WK (eds) New development and applications in experimental design. Lecture notes-monograph series, vol 34. Institute of Mathematical Statistics, Hayward, pp 11\u201325"
    },
    {
      "issue": "6",
      "key": "420_CR156",
      "doi-asserted-by": "crossref",
      "first-page": "427",
      "DOI": "10.1007/s00158-004-0448-2",
      "volume": "28",
      "author": "S Shan",
      "year": "2004",
      "unstructured": "Shan S, Wang GG (2004) Space exploration and global optimization for computationally intensive design problems: a rough set based approach. Struct Multidisc Optim 28(6):427\u2013441",
      "journal-title": "Struct Multidisc Optim"
    },
    {
      "key": "420_CR157",
      "doi-asserted-by": "crossref",
      "first-page": "021402-1-11",
      "DOI": "10.1115/1.2803251",
      "volume": "130",
      "author": "B Sharif",
      "year": "2008",
      "unstructured": "Sharif B, Wang GG, EIMekkawy T (2008) Mode pursuing sampling method for discrete variable optimization on expensive black-box functions. ASME J Mech Des 130:021402-1-11",
      "journal-title": "ASME J Mech Des"
    },
    {
      "key": "420_CR158",
      "unstructured": "Shen HT, Zhou X, Zhou A (2006) An adaptive and dynamic dimensionality reduction method for high-dimensional indexing. The VLDB Journal. http://www.itee.uq.edu.au/~zxf/_papers/VLDBJ06.pdf . Accessed 8 August 2008"
    },
    {
      "key": "420_CR159",
      "doi-asserted-by": "crossref",
      "first-page": "351",
      "DOI": "10.1007/s00158-001-0155-1",
      "volume": "22",
      "author": "YS Shin",
      "year": "2001",
      "unstructured": "Shin YS, Grandhi RV (2001) A global structural optimization technique using an interval method. Struct Multidisc Optim 22:351\u2013363",
      "journal-title": "Struct Multidisc Optim"
    },
    {
      "key": "420_CR160",
      "unstructured": "Shlens J (2005) A tutorial on principal component analysis. http://www.snl.salk.edu/~shlens/pub/notes/pca.pdf . Accessed 8 August 2008"
    },
    {
      "key": "420_CR161",
      "doi-asserted-by": "crossref",
      "first-page": "7192",
      "DOI": "10.1021/jp9843398",
      "volume": "103",
      "author": "JA Shorter",
      "year": "1999",
      "unstructured": "Shorter JA, Ip PC, Rabitz HA (1999) An efficient chemical kinetics solver using high dimensional model representation. J Phys Chem A 103:7192\u20137198",
      "journal-title": "J Phys Chem A"
    },
    {
      "issue": "1",
      "key": "420_CR162",
      "doi-asserted-by": "crossref",
      "first-page": "276",
      "DOI": "10.1109/TMTT.2003.820891",
      "volume": "52",
      "author": "ES Siah",
      "year": "2004",
      "unstructured": "Siah ES, Sasena M, Volakis JL, Papalambros PY (2004) Fast parameter optimization of large-scale electromagnetic objects using DIRECT with Kriging metamodeling. IEEE Trans Microwave Theor Tech 52(1):276\u2013285",
      "journal-title": "IEEE Trans Microwave Theor Tech"
    },
    {
      "key": "420_CR163",
      "doi-asserted-by": "crossref",
      "unstructured": "Simpson TW (2004) Evaluation of a graphical design interface for design space visualization. In: Proceedings of the 45th AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics & materials conference, Palm Springs, California, 19\u201322 April, AIAA 2004-1683",
      "DOI": "10.2514/6.2004-1683"
    },
    {
      "key": "420_CR164",
      "doi-asserted-by": "crossref",
      "unstructured": "Simpson TW, Mauery TM, Korte JJ, Mistree F (1998) Comparison of response surface and kriging models for multidisciplinary design optimization. In: The 7th AIAA/USAF/NASA/ISSMO symposium on multidisciplinary analysis & optimization, St. Louis, MI, AIAA-98-4755",
      "DOI": "10.2514/6.1998-4755"
    },
    {
      "issue": "3",
      "key": "420_CR165",
      "first-page": "209",
      "volume": "2",
      "author": "TW Simpson",
      "year": "2001",
      "unstructured": "Simpson TW, Lin DKJ, Chen W (2001a) Sampling strategies for computer experiments: design and analysis. Int J Reliab Appl 2(3):209\u2013240",
      "journal-title": "Int J Reliab Appl"
    },
    {
      "issue": "2",
      "key": "420_CR166",
      "doi-asserted-by": "crossref",
      "first-page": "129",
      "DOI": "10.1007/PL00007198",
      "volume": "17",
      "author": "TW Simpson",
      "year": "2001",
      "unstructured": "Simpson TW, Peplinski J, Koch PN, Allen JK (2001b) Metamodels for computer-based engineering design: survey and recommendations. Eng Comput 17(2):129\u2013150",
      "journal-title": "Eng Comput"
    },
    {
      "key": "420_CR167",
      "doi-asserted-by": "crossref",
      "first-page": "302",
      "DOI": "10.1007/s00158-004-0389-9",
      "volume": "27",
      "author": "TW Simpson",
      "year": "2004",
      "unstructured": "Simpson TW, Booker AJ, Ghosh D, Giunta AA, Koch PN, Yang RJ (2004) Approximation methods in multidisciplinary analysis and optimization: a panel discussion. Struct Multidisc Optim 27:302\u2013313",
      "journal-title": "Struct Multidisc Optim"
    },
    {
      "issue": "12",
      "key": "420_CR168",
      "doi-asserted-by": "crossref",
      "first-page": "993",
      "DOI": "10.2514/3.45973",
      "volume": "27",
      "author": "J Sobieszczanski-Sobieski",
      "year": "1990",
      "unstructured": "Sobieszczanski-Sobieski J (1990) Sensitivity analysis and multidisciplinary optimization for aircraft design: recent advances and results. J Aircr 27(12):993\u20131001",
      "journal-title": "J Aircr"
    },
    {
      "issue": "1",
      "key": "420_CR169",
      "doi-asserted-by": "crossref",
      "first-page": "1",
      "DOI": "10.1007/BF01197554",
      "volume": "14",
      "author": "J Sobieszczanski-Sobieski",
      "year": "1997",
      "unstructured": "Sobieszczanski-Sobieski J, Haftka RT (1997) Multidisciplinary aerospace design optimization: survey of recent developments. Struct Optim 14(1):1\u201323",
      "journal-title": "Struct Optim"
    },
    {
      "issue": "4",
      "key": "420_CR170",
      "first-page": "407",
      "volume": "1",
      "author": "IM Sobol",
      "year": "1993",
      "unstructured": "Sobol IM (1993) Sensitivity estimates for nonlinear mathematical models. Math Model Comput Exper 1(4):407\u2013414",
      "journal-title": "Math Model Comput Exper"
    },
    {
      "key": "420_CR171",
      "doi-asserted-by": "crossref",
      "first-page": "366",
      "DOI": "10.1016/j.jbi.2004.07.005",
      "volume": "37",
      "author": "RL Somorjai",
      "year": "2004",
      "unstructured": "Somorjai RL, Dolenko B, Demko A, Mandelzweig M, Nikulin AE, Baumgartner R et al (2004) Mapping high-dimensional data onto a relative distance plane\u2014an exact method for visualizing and characterizing high-dimensional patterns. J Biomed Inform 37:366\u2013376",
      "journal-title": "J Biomed Inform"
    },
    {
      "key": "420_CR172",
      "doi-asserted-by": "crossref",
      "first-page": "146",
      "DOI": "10.1007/s00158-004-0438-4",
      "volume": "28",
      "author": "A Srivastava",
      "year": "2004",
      "unstructured": "Srivastava A, Hacker K, Lewis KE, Simpson TW (2004) A method for using legacy data for metamodel-based design of large-scale systems. Struct Multidisc Optim 28:146\u2013155",
      "journal-title": "Struct Multidisc Optim"
    },
    {
      "issue": "2",
      "key": "420_CR173",
      "doi-asserted-by": "crossref",
      "first-page": "71",
      "DOI": "10.1080/00401706.1984.10487928",
      "volume": "26",
      "author": "DM Steinberg",
      "year": "1984",
      "unstructured": "Steinberg DM, Hunter WG (1984) Experimental design: review and comment. Technometrics 26(2):71\u201397",
      "journal-title": "Technometrics"
    },
    {
      "issue": "2",
      "key": "420_CR174",
      "doi-asserted-by": "crossref",
      "first-page": "689",
      "DOI": "10.1214/aos/1176349548",
      "volume": "13",
      "author": "CJ Stone",
      "year": "1985",
      "unstructured": "Stone CJ (1985) Additive regression and other nonparametric models. Ann Stat 13(2):689\u2013705",
      "journal-title": "Ann Stat"
    },
    {
      "key": "420_CR175",
      "volume-title": "Differential evolution\u2014a simple and efficient adaptive scheme for global optimization over continuous spaces",
      "author": "R Storn",
      "year": "1995",
      "unstructured": "Storn R, Price K (1995) Differential evolution\u2014a simple and efficient adaptive scheme for global optimization over continuous spaces. Technical report TR-95-012, International Computer Science Institute (ICSI), Berkley, CA, March 1995"
    },
    {
      "key": "420_CR176",
      "doi-asserted-by": "crossref",
      "unstructured": "Stump G, Simpson TW, Yukish M, Bennett L (2002) Multidimensional design and visualization and its application to a design by shopping paradigm. In: The 9th AIAA/USAF/NASA/ISSMO symposium on multidisciplinary analysis and optimization, Atlanta, GA, 4\u20136 September, AIAA 2002-5622",
      "DOI": "10.2514/6.2002-5622"
    },
    {
      "key": "420_CR177",
      "volume-title": "Axiomatic design: advances and applications",
      "author": "NP Suh",
      "year": "2001",
      "unstructured": "Suh NP (2001) Axiomatic design: advances and applications. Oxford University Press, New York"
    },
    {
      "issue": "424",
      "key": "420_CR178",
      "doi-asserted-by": "crossref",
      "first-page": "1392",
      "DOI": "10.1080/01621459.1993.10476423",
      "volume": "88",
      "author": "B Tang",
      "year": "1993",
      "unstructured": "Tang B (1993) Orthogonal array-based Latin hypercubes. J Am Stat Assoc 88(424):1392\u20131397",
      "journal-title": "J Am Stat Assoc"
    },
    {
      "key": "420_CR179",
      "unstructured": "Taskin G, Saygin H, Demiralp M, Yanalak M (2002) Least squares curve fitting via high dimensional model representation for digital elevation model. In: The international symposium on GIS, Istanbul-Turkey, 23\u201326 September"
    },
    {
      "key": "420_CR180",
      "doi-asserted-by": "crossref",
      "unstructured": "Tu J, Jones DR (2003) Variable screening in metamodel design by cross-validated moving least squares method. In: The 44th AIAA/ASME/ASCE/AHS structures, structural dynamics, and materials conference, Norfolk, Virginia, 7\u201310 April",
      "DOI": "10.2514/6.2003-1669"
    },
    {
      "key": "420_CR181",
      "first-page": "865",
      "volume": "164",
      "author": "MA Tunga",
      "year": "2005",
      "unstructured": "Tunga MA, Demiralp M (2005) A factorized high dimensional model representation on the nodes of a finite hyperprismatic regular grid. Appl Math Comput 164:865\u2013883",
      "journal-title": "Appl Math Comput"
    },
    {
      "key": "420_CR182",
      "doi-asserted-by": "crossref",
      "first-page": "107",
      "DOI": "10.1016/j.cam.2005.01.030",
      "volume": "185",
      "author": "MA Tunga",
      "year": "2006",
      "unstructured": "Tunga MA, Demiralp M (2006) Hybrid high dimensional model representation (HHDMR) on the partitioned data. J Comput Appl Math 185:107\u2013132",
      "journal-title": "J Comput Appl Math"
    },
    {
      "issue": "1",
      "key": "420_CR183",
      "doi-asserted-by": "crossref",
      "first-page": "11",
      "DOI": "10.2514/2.2440",
      "volume": "36",
      "author": "GN Vanderplaats",
      "year": "1999",
      "unstructured": "Vanderplaats GN (1999) Structural design optimization status and direction. J Aircr 36(1):11\u201320",
      "journal-title": "J Aircr"
    },
    {
      "key": "420_CR184",
      "doi-asserted-by": "crossref",
      "unstructured": "Wagner S (2007) Global sensitivity analysis of predictor models in software engineering. In: Proceedings of third international workshop on predictor models in software engineering (PROMISE\u201907), Washington, DC, USA. IEEE Computer Society",
      "DOI": "10.1109/PROMISE.2007.7"
    },
    {
      "key": "420_CR185",
      "first-page": "315",
      "volume": "2",
      "author": "TC Wagner",
      "year": "1993",
      "unstructured": "Wagner TC, Papalambros PY (1993) A general framework for decomposition analysis in optimal design. De-Vol. 65-2. Adv Des Autom 2:315\u2013325",
      "journal-title": "Adv Des Autom"
    },
    {
      "key": "420_CR186",
      "unstructured": "Wang H, Ersoy OK (2005) Parallel gray code optimization for high dimensional problems. In: Proceedings of the sixth international conference on computational intelligence and multimedia applications, Las Vegas, Nevada, 16\u201318 August"
    },
    {
      "key": "420_CR187",
      "first-page": "101",
      "volume": "113",
      "author": "GG Wang",
      "year": "2004",
      "unstructured": "Wang GG, Shan S (2004) Design space reduction for multi-objective optimization and robust design optimization problems. SAE Trans 113:101\u2013110",
      "journal-title": "SAE Trans"
    },
    {
      "key": "420_CR188",
      "doi-asserted-by": "crossref",
      "first-page": "370",
      "DOI": "10.1115/1.2429697",
      "volume": "129",
      "author": "GG Wang",
      "year": "2007",
      "unstructured": "Wang GG, Shan S (2007) Review of metamodeling techniques in support of engineering design optimization. ASME J Mech Des 129:370\u2013389",
      "journal-title": "ASME J Mech Des"
    },
    {
      "issue": "3",
      "key": "420_CR189",
      "doi-asserted-by": "crossref",
      "first-page": "313",
      "DOI": "10.1080/03052150310001639911",
      "volume": "36",
      "author": "GG Wang",
      "year": "2004",
      "unstructured": "Wang GG, Simpson TW (2004) Fuzzy clustering based hierarchical metamodeling for space reduction and design optimization. J Eng Optim 36(3):313\u2013335",
      "journal-title": "J Eng Optim"
    },
    {
      "issue": "6",
      "key": "420_CR190",
      "doi-asserted-by": "crossref",
      "first-page": "707",
      "DOI": "10.1080/03052150108940940",
      "volume": "33",
      "author": "GG Wang",
      "year": "2001",
      "unstructured": "Wang GG, Dong Z, Aitchison P (2001) Adaptive response surface method\u2014a global optimization scheme for computation-intensive design problems. J Eng Optim 33(6):707\u2013734",
      "journal-title": "J Eng Optim"
    },
    {
      "key": "420_CR191",
      "doi-asserted-by": "crossref",
      "first-page": "4707",
      "DOI": "10.1021/jp022500f",
      "volume": "107",
      "author": "S-W Wang",
      "year": "2003",
      "unstructured": "Wang S-W, Georgopoulos PG, Li G, Rabits H (2003) Random sampling-high dimensional model representation (RS-HDMR) with nonuniformly distributed variables: application to an integrated multimedia/multipathway exposure and dose model for trichloroethylene. J Phys Chem, A 107:4707\u20134716",
      "journal-title": "J Phys Chem, A"
    },
    {
      "issue": "4",
      "key": "420_CR192",
      "doi-asserted-by": "crossref",
      "first-page": "419",
      "DOI": "10.1080/03052150410001686486",
      "volume": "36",
      "author": "L Wang",
      "year": "2004",
      "unstructured": "Wang L, Shan S, Wang GG (2004) Mode-pursuing sampling method for global optimization on expensive black-box functions. J Eng Optim 36(4):419\u2013438",
      "journal-title": "J Eng Optim"
    },
    {
      "key": "420_CR193",
      "doi-asserted-by": "crossref",
      "unstructured": "Wang L, Beeson D et al (2006) A comparison of meta-modeling methods using practical industry requirements. In: The 47th AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics, and materials conference, Newport, Rhode Island, USA, 1\u20134 May 2006",
      "DOI": "10.2514/6.2006-1811"
    },
    {
      "issue": "3",
      "key": "420_CR194",
      "doi-asserted-by": "crossref",
      "first-page": "371",
      "DOI": "10.1080/00401706.1961.10489954",
      "volume": "3",
      "author": "GS Watson",
      "year": "1961",
      "unstructured": "Watson GS (1961) A study of the group screening method. Technometrics 3(3):371\u2013388",
      "journal-title": "Technometrics"
    },
    {
      "issue": "12",
      "key": "420_CR195",
      "doi-asserted-by": "crossref",
      "first-page": "2495",
      "DOI": "10.1109/22.554584",
      "volume": "44",
      "author": "PM Watson",
      "year": "1996",
      "unstructured": "Watson PM, Gupta KC (1996) EM-ANN models for microstrip vias and interconnects in dataset circuits. IEEE Trans Microwave Theor Tech 44(12):2495\u20132503",
      "journal-title": "IEEE Trans Microwave Theor Tech"
    },
    {
      "key": "420_CR196",
      "unstructured": "Weise T (2008) Global optimization algorithms theory and application. http://www.it-weise.de/projects/book.pdf . Accessed 7 Nov 2008"
    },
    {
      "issue": "1",
      "key": "420_CR197",
      "doi-asserted-by": "crossref",
      "first-page": "15",
      "DOI": "10.2307/1269548",
      "volume": "34",
      "author": "WJ Welch",
      "year": "1992",
      "unstructured": "Welch WJ, Buck RJ, Sacks J, Wynn HP, Mitchell TJ, Morris MD (1992) Screening, predicting, and computer experiments. Technometrics 34(1):15\u201325",
      "journal-title": "Technometrics"
    },
    {
      "issue": "6",
      "key": "420_CR198",
      "doi-asserted-by": "crossref",
      "first-page": "412",
      "DOI": "10.1007/s00158-002-0203-5",
      "volume": "23",
      "author": "EH Winer",
      "year": "2002",
      "unstructured": "Winer EH, Bloebaum CL (2002a) Development of visual design steering as an aid in large-scale multidisciplinary design optimization. Part I: method development. Struct Multidisc Optim 23(6):412\u2013424",
      "journal-title": "Struct Multidisc Optim"
    },
    {
      "issue": "6",
      "key": "420_CR199",
      "doi-asserted-by": "crossref",
      "first-page": "425",
      "DOI": "10.1007/s00158-002-0204-4",
      "volume": "23",
      "author": "EH Winer",
      "year": "2002",
      "unstructured": "Winer EH, Bloebaum CL (2002b) Development of visual design steering as an aid in large-scale multidisciplinary design optimiza tion. Part II: method validation. Struct Multidisc Optim 23(6):425\u2013435",
      "journal-title": "Struct Multidisc Optim"
    },
    {
      "issue": "10",
      "key": "420_CR200",
      "doi-asserted-by": "crossref",
      "first-page": "1911",
      "DOI": "10.2514/2.285",
      "volume": "36",
      "author": "BA Wujek",
      "year": "1998",
      "unstructured": "Wujek BA, Renaud JE (1998a) New adaptive move-limit management strategy for approximate optimization, Part 1. AIAA J 36(10):1911\u20131921",
      "journal-title": "AIAA J"
    },
    {
      "issue": "10",
      "key": "420_CR201",
      "doi-asserted-by": "crossref",
      "first-page": "1922",
      "DOI": "10.2514/2.287",
      "volume": "36",
      "author": "BA Wujek",
      "year": "1998",
      "unstructured": "Wujek BA, Renaud JE (1998b) New adaptive move-limit management strategy for approximate optimization, Part 2. AIAA J 36(10):1922\u20131934",
      "journal-title": "AIAA J"
    },
    {
      "key": "420_CR202",
      "doi-asserted-by": "crossref",
      "first-page": "111401",
      "DOI": "10.1115/1.2976449",
      "volume": "130",
      "author": "Y Xiong",
      "year": "2008",
      "unstructured": "Xiong Y, Chen W, Tsui K-L (2008) A new variable fidelity optimization framework based on model fusion and objective-oriented sequential sampling. ASME J Mech Des 130:111401. doi: 10.1115/1.2976449",
      "journal-title": "ASME J Mech Des"
    },
    {
      "issue": "444",
      "key": "420_CR203",
      "doi-asserted-by": "crossref",
      "first-page": "1430",
      "DOI": "10.1080/01621459.1998.10473803",
      "volume": "93",
      "author": "KQ Ye",
      "year": "1998",
      "unstructured": "Ye KQ (1998) Orthogonal column Latin hypercubes and their application in computer experiments. J Am Stat Assoc 93(444):1430\u20131439",
      "journal-title": "J Am Stat Assoc"
    },
    {
      "key": "420_CR204",
      "unstructured": "Ye T, Kalyanaraman S (2003) A unified search framework for large-scale black-box optimization. http://www.ecse.rpi.edu/Homepages/shivkuma /research/papers/unisearch03.pdf . Accessed 8 August 2008"
    },
    {
      "key": "420_CR205",
      "doi-asserted-by": "crossref",
      "unstructured": "Yoshimura M, Izui K (1998) Machine system design optimization strategies based on expansion and contraction of design spaces. In: Proceedings of the 7th AIAA/USAF/NASA/ISSMO symposium on multidisciplinary analysis and optimization, St. Louis, USA, September. AIAA-98-4749",
      "DOI": "10.2514/6.1998-4749"
    },
    {
      "key": "420_CR206",
      "doi-asserted-by": "crossref",
      "first-page": "217",
      "DOI": "10.1115/1.1666889",
      "volume": "126",
      "author": "M Yoshimura",
      "year": "2004",
      "unstructured": "Yoshimura M, Izui K (2004) Hierarchical parallel processes of genetic algorithms for design optimization of large-scale products. ASME J Mech Des 126:217\u2013224",
      "journal-title": "ASME J Mech Des"
    }
  ],
  "container-title": "Structural and Multidisciplinary Optimization",
  "original-title": [],
  "language": "en",
  "link": [
    {
      "URL": "http://link.springer.com/content/pdf/10.1007/s00158-009-0420-2.pdf",
      "content-type": "application/pdf",
      "content-version": "vor",
      "intended-application": "text-mining"
    },
    {
      "URL": "http://link.springer.com/article/10.1007/s00158-009-0420-2/fulltext.html",
      "content-type": "text/html",
      "content-version": "vor",
      "intended-application": "text-mining"
    },
    {
      "URL": "http://link.springer.com/content/pdf/10.1007/s00158-009-0420-2",
      "content-type": "unspecified",
      "content-version": "vor",
      "intended-application": "similarity-checking"
    }
  ],
  "deposited": {
    "date-parts": [
      [
        2025,
        2,
        11
      ]
    ],
    "date-time": "2025-02-11T17:34:00Z",
    "timestamp": 1739295240000
  },
  "score": 1,
  "resource": {
    "primary": {
      "URL": "http://link.springer.com/10.1007/s00158-009-0420-2"
    }
  },
  "subtitle": [],
  "short-title": [],
  "issued": {
    "date-parts": [
      [
        2009,
        8,
        7
      ]
    ]
  },
  "references-count": 206,
  "journal-issue": {
    "issue": "2",
    "published-print": {
      "date-parts": [
        [
          2010,
          3
        ]
      ]
    }
  },
  "alternative-id": [
    "420"
  ],
  "URL": "http://dx.doi.org/10.1007/s00158-009-0420-2",
  "relation": {},
  "ISSN": [
    "1615-147X",
    "1615-1488"
  ],
  "subject": [],
  "container-title-short": "Struct Multidisc Optim",
  "published": {
    "date-parts": [
      [
        2009,
        8,
        7
      ]
    ]
  }
}