{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,31]],"date-time":"2025-10-31T07:28:47Z","timestamp":1761895727797},"reference-count":30,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2013,9,8]],"date-time":"2013-09-08T00:00:00Z","timestamp":1378598400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Optim Lett"],"published-print":{"date-parts":[[2014,6]]},"DOI":"10.1007\/s11590-013-0688-4","type":"journal-article","created":{"date-parts":[[2013,9,7]],"date-time":"2013-09-07T07:09:57Z","timestamp":1378537797000},"page":"1599-1610","source":"Crossref","is-referenced-by-count":12,"title":["A variance-based method to rank input variables of the Mesh Adaptive Direct Search algorithm"],"prefix":"10.1007","volume":"8","author":[{"given":"Luc","family":"Adjengue","sequence":"first","affiliation":[]},{"given":"Charles","family":"Audet","sequence":"additional","affiliation":[]},{"given":"Imen","family":"Ben Yahia","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2013,9,8]]},"reference":[{"issue":"2","key":"688_CR1","doi-asserted-by":"crossref","first-page":"606","DOI":"10.1137\/050638382","volume":"17","author":"MA Abramson","year":"2006","unstructured":"Abramson, M.A., Audet, C.: Convergence of Mesh Adaptive Direct Search to second-order stationary points. SIAM J. Optim. 17(2), 606\u2013619 (2006)","journal-title":"SIAM J. Optim."},{"key":"688_CR2","unstructured":"Abramson, M.A., Audet, C., Couture, G., Dennis, J.E. Jr., Le Digabel, S., Tribes, C.: The NOMAD project. Software available at http:\/\/www.gerad.ca\/nomad"},{"key":"688_CR3","doi-asserted-by":"crossref","unstructured":"Abramson, M.A., Audet, C., Dennis, J.E. Jr., Le Digabel, S.: OrthoMADS: a deterministic MADS instance with orthogonal directions. SIAM J. Optim. 20(2), 948\u2013966 (2009)","DOI":"10.1137\/080716980"},{"issue":"2","key":"688_CR4","doi-asserted-by":"crossref","first-page":"101","DOI":"10.1023\/B:OPTE.0000033370.66768.a9","volume":"5","author":"C Audet","year":"2004","unstructured":"Audet, C.: Convergence results for generalized pattern search algorithms are tight. Optim. Eng. 5(2), 101\u2013122 (2004)","journal-title":"Optim. Eng."},{"key":"688_CR5","doi-asserted-by":"crossref","unstructured":"Audet, C.: A survey on direct search methods for blackbox optimization and their applications. Technical Report G-2012-53, Les cahiers du GERAD. In: Pardalos, P.M., Rassias, Th.M. (eds.) Mathematics Without Boundaries - Surveys in Interdisciplinary Mathematics. Springer, New York, 2013 (in preparation)","DOI":"10.1007\/978-1-4939-1124-0_2"},{"key":"688_CR6","unstructured":"Audet, C., Dennis, J.E. Jr.: Mesh adaptive direct search algorithms for constrained optimization. SIAM J. Optim. 17(1), 188\u2013217 (2006)"},{"key":"688_CR7","unstructured":"Audet, C., Dennis, J.E. Jr.: A progressive barrier for derivative-free nonlinear programming. SIAM J. Optim. 20(1), 445\u2013472 (2009)"},{"key":"688_CR8","unstructured":"Audet, C., Dennis, J.E. Jr., Le Digabel, S.: Parallel space decomposition of the mesh adaptive direct search algorithm. SIAM J. Optim. 19(3), 1150\u20131170 (2008)"},{"key":"688_CR9","unstructured":"Audet, C., Dennis, J.E. Jr., Le Digabel, S.: Globalization strategies for mesh adaptive direct search. Comput. Optim. Appl. 46(2), 193\u2013215 (2010)"},{"key":"688_CR10","unstructured":"Audet, C., Le Digabel, S., Tribes, C.: NOMAD user guide. Technical Report G-2009-37, Les cahiers du GERAD (2009)"},{"issue":"2","key":"688_CR11","doi-asserted-by":"crossref","first-page":"416","DOI":"10.1007\/s10957-012-0167-6","volume":"157","author":"AM Bagirov","year":"2013","unstructured":"Bagirov, A.M., Jin, L., Karmitsa, N., Al Nuaimat, A., Sultanova, N.: Subgradient method for nonconvex nonsmooth optimization. J. Optim. Theory Appl. 157(2), 416\u2013435 (2013)","journal-title":"J. Optim. Theory Appl."},{"key":"688_CR12","unstructured":"Ben Yahia, I.: Identification statistique de variables importantes pour l\u2019optimisation de bo\u00eetes noires. Master\u2019s thesis, \u00c9cole Polytechnique de Montr\u00e9al (2012)"},{"key":"688_CR13","doi-asserted-by":"crossref","unstructured":"Booker, A.J., Dennis, J.E. Jr., Frank, P.D., Serafini, D.B., Torczon, V.: Optimization using surrogate objectives on a helicopter test example. In: Borggaard, J., Burns, J., Cliff, E., Schreck, S. (eds.) Optimal Design and Control. Progress in Systems and Control Theory, pp 49\u201358. Birkh\u00e4user, Cambridge, Massachusetts (1998)","DOI":"10.1007\/978-1-4612-1780-0_3"},{"key":"688_CR14","unstructured":"Clarke, F.H.: Optimization and Nonsmooth Analysis. Wiley, New York (1990) Reissued In: Series Classics in Applied Mathematics, vol. 5. SIAM Publications, Philadelphia (1983)"},{"issue":"1","key":"688_CR15","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1080\/10556788.2011.623162","volume":"28","author":"AR Conn","year":"2013","unstructured":"Conn, A.R., Le Digabel, S.: Use of quadratic models with mesh-adaptive direct search for constrained black box optimization. Optim. Methods Softw. 28(1), 139\u2013158 (2013)","journal-title":"Optim. Methods Softw."},{"key":"688_CR16","doi-asserted-by":"crossref","unstructured":"Conn, A.R., Scheinberg, K., Vicente, L.N.: Introduction to derivative-free optimization. In: MOS\/SIAM Series on Optimization. SIAM, Philadelphia (2009)","DOI":"10.1137\/1.9780898718768"},{"key":"688_CR17","unstructured":"Dennis, J.E. Jr., Schnabel, R.B.: Numerical methods for unconstrained optimization and nonlinear equations. Prentice-Hall, Englewood Cliffs, NJ (1983). Reissued In: Series Classics in Applied Mathematics, vol. 16. SIAM Publications, Philadelphia (1996)"},{"issue":"2","key":"688_CR18","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1007\/s101070100263","volume":"91","author":"ED Dolan","year":"2002","unstructured":"Dolan, E.D., Mor\u00e9, J.J.: Benchmarking optimization software with performance profiles. Math. Progr. 91(2), 201\u2013213 (2002)","journal-title":"Math. Progr."},{"issue":"1","key":"688_CR19","doi-asserted-by":"crossref","first-page":"13","DOI":"10.1080\/10556789208805503","volume":"1","author":"JC Gilbert","year":"1992","unstructured":"Gilbert, J.C.: Automatic differentiation and iterative processes. Optim. Methods Softw. 1(1), 13\u201321 (1992)","journal-title":"Optim. Methods Softw."},{"key":"688_CR20","unstructured":"Gould, N.I.M., Orban, D., Toint, PhL.: CUTEr (and SifDec): a constrained and unconstrained testing environment, revisited. ACM Trans. Math. Softw. 29(4), 373\u2013394 (2003)"},{"key":"688_CR21","unstructured":"Gramacy, R.B., Le Digabel S.: The mesh adaptive direct search algorithm with treed Gaussian process surrogates. Technical Report G-2011-37, Les cahiers du GERAD (2011)"},{"issue":"1","key":"688_CR22","doi-asserted-by":"crossref","first-page":"51","DOI":"10.1214\/12-AOAS590","volume":"7","author":"RB Gramacy","year":"2013","unstructured":"Gramacy, R.B., Taddy, M.A., Wild, S.M.: Variable selection and sensitivity analysis via dynamic trees with an application to computer code performance tuning. Ann. Appl. Stat. 7(1), 51\u201380 (2013)","journal-title":"Ann. Appl. Stat."},{"issue":"4","key":"688_CR23","doi-asserted-by":"crossref","first-page":"455","DOI":"10.1023\/A:1008306431147","volume":"13","author":"DR Jones","year":"1998","unstructured":"Jones, D.R., Schonlau, M., Welch, W.J.: Efficient global optimization of expensive black box functions. J. Glob. Optim. 13(4), 455\u2013492 (1998)","journal-title":"J. Glob. Optim."},{"key":"688_CR24","doi-asserted-by":"crossref","unstructured":"Le Digabel, S.: Algorithm 909: NOMAD: Nonlinear optimization with the MADS algorithm. ACM Trans. Math. Softw. 37(4), 44:1\u201344:15 (2011)","DOI":"10.1145\/1916461.1916468"},{"key":"688_CR25","unstructured":"Luk\u0161an, L., Vl\u010dek, J.: Test problems for nonsmooth unconstrained and linearly constrained optimization. Technical Report V-798, ICS AS CR (2000)"},{"key":"688_CR26","doi-asserted-by":"crossref","first-page":"267","DOI":"10.1016\/S0951-8320(97)00039-2","volume":"57","author":"M McKay","year":"1997","unstructured":"McKay, M.: Nonparametric variance-based methods of assessing uncertainty importance. Reliab. Eng. Syst. Saf. 57, 267\u2013279 (1997)","journal-title":"Reliab. Eng. Syst. Saf."},{"key":"688_CR27","volume-title":"Design and Analysis of Experiments","author":"DC Montgomery","year":"2009","unstructured":"Montgomery, D.C.: Design and Analysis of Experiments. Wiley, New York (2009)"},{"key":"688_CR28","volume-title":"Sensitivity Analysis","author":"A Saltelli","year":"2000","unstructured":"Saltelli, A., Chan, K., Scott, E.M.: Sensitivity Analysis. Wiley, New York (2000)"},{"issue":"1","key":"688_CR29","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1137\/S1052623493250780","volume":"7","author":"V Torczon","year":"1997","unstructured":"Torczon, V.: On the convergence of pattern search algorithms. SIAM J. Optim. 7(1), 1\u201325 (1997)","journal-title":"SIAM J. Optim."},{"issue":"1\u20132","key":"688_CR30","doi-asserted-by":"crossref","first-page":"299","DOI":"10.1007\/s10107-010-0429-8","volume":"133","author":"LN Vicente","year":"2012","unstructured":"Vicente, L.N., Cust\u00f3dio, A.L.: Analysis of direct searches for discontinuous functions. Math. Progr. 133(1\u20132), 299\u2013325 (2012)","journal-title":"Math. Progr."}],"container-title":["Optimization Letters"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11590-013-0688-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11590-013-0688-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11590-013-0688-4","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,7,4]],"date-time":"2023-07-04T11:09:17Z","timestamp":1688468957000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11590-013-0688-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,9,8]]},"references-count":30,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2014,6]]}},"alternative-id":["688"],"URL":"https:\/\/doi.org\/10.1007\/s11590-013-0688-4","relation":{},"ISSN":["1862-4472","1862-4480"],"issn-type":[{"value":"1862-4472","type":"print"},{"value":"1862-4480","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,9,8]]}}}