{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,2]],"date-time":"2026-01-02T07:38:12Z","timestamp":1767339492726,"version":"3.40.3"},"publisher-location":"Cham","reference-count":36,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783030137083"},{"type":"electronic","value":"9783030137090"}],"license":[{"start":{"date-parts":[[2019,1,1]],"date-time":"2019-01-01T00:00:00Z","timestamp":1546300800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2019]]},"DOI":"10.1007\/978-3-030-13709-0_11","type":"book-chapter","created":{"date-parts":[[2019,2,13]],"date-time":"2019-02-13T18:09:04Z","timestamp":1550081344000},"page":"129-140","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["Adaptive Dimensionality Reduction in Multiobjective Optimization with Multiextremal Criteria"],"prefix":"10.1007","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4013-2329","authenticated-orcid":false,"given":"Victor","family":"Gergel","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2884-3670","authenticated-orcid":false,"given":"Vladimir","family":"Grishagin","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4226-9644","authenticated-orcid":false,"given":"Ruslan","family":"Israfilov","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2019,2,14]]},"reference":[{"key":"11_CR1","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4615-5563-6","volume-title":"Nonlinear Multiobjective Optimization","author":"K Miettinen","year":"1999","unstructured":"Miettinen, K.: Nonlinear Multiobjective Optimization. Springer, Heidelberg (1999). https:\/\/doi.org\/10.1007\/978-1-4615-5563-6"},{"key":"11_CR2","unstructured":"Marler, R.T., Arora, J.S.: Multi-Objective Optimization: Concepts and Methods for Engineering. VDM Verlag, Riga (2009)"},{"key":"11_CR3","unstructured":"Ehrgott, M.: Multicriteria Optimization, 2nd edn. Springer, Heidelberg (2010)"},{"key":"11_CR4","unstructured":"Collette, Y., Siarry, P.: Multiobjective Optimization: Principles and Case Studies (Decision Engineering). Springer, Heidelberg (2011)"},{"key":"11_CR5","doi-asserted-by":"publisher","unstructured":"Mardani, A., Jusoh, A., Nor, K., Khalifah, Z., Zakwan, N., Valipour, A.: Multiple criteria decision-making techniques and their applications\u2014a review of the literature from 2000 to 2014. Econ. Res.-Ekonomska Istra\u017einja 28(1), 516\u2013571 (2015). https:\/\/doi.org\/10.1080\/1331677X.2015.107513911","DOI":"10.1080\/1331677X.2015.107513911"},{"key":"11_CR6","doi-asserted-by":"publisher","first-page":"369","DOI":"10.1007\/s00158-003-0368-6","volume":"26","author":"RT Marler","year":"2004","unstructured":"Marler, R.T., Arora, J.S.: Survey of multiobjective optimization methods for engineering. Struct. Multi. Optim. 26, 369\u2013395 (2004)","journal-title":"Struct. Multi. Optim."},{"key":"11_CR7","first-page":"1","volume":"11","author":"C Hillermeier","year":"2005","unstructured":"Hillermeier, C., Jahn, J.: Multiobjective optimization: survey of methods and industrial applications. Surv. Math. Ind. 11, 1\u201342 (2005)","journal-title":"Surv. Math. Ind."},{"key":"11_CR8","series-title":"International Series in Operations Research & Management Science","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4939-3094-4","volume-title":"Multiple Criteria Decision Analysis","year":"2016","unstructured":"Figueira, J., Greco, S., Ehrgott, M. (eds.): Multiple Criteria Decision Analysis: State of the Art Surveys. Springer, Heidelberg (2005). https:\/\/doi.org\/10.1007\/978-1-4939-3094-4"},{"key":"11_CR9","doi-asserted-by":"publisher","first-page":"249","DOI":"10.1007\/s10589-007-9155-4","volume":"44","author":"G Eichfelder","year":"2009","unstructured":"Eichfelder, G.: Scalarizations for adaptively solving multi-objective optimization problems. Comput. Optim. Appl. 44, 249\u2013273 (2009)","journal-title":"Comput. Optim. Appl."},{"issue":"5","key":"11_CR10","doi-asserted-by":"publisher","first-page":"1005","DOI":"10.1080\/10556788.2013.854357","volume":"29","author":"YG Evtushenko","year":"2014","unstructured":"Evtushenko, Y.G., Posypkin, M.A.: A deterministic algorithm for global multi-objective optimization. Optim. Methods Softw. 29(5), 1005\u20131019 (2014)","journal-title":"Optim. Methods Softw."},{"key":"11_CR11","doi-asserted-by":"publisher","first-page":"89","DOI":"10.1016\/j.cnsns.2014.08.025","volume":"21","author":"A Zilinskas","year":"2015","unstructured":"Zilinskas, A., Zilinskas, J.: Adaptation of a one-step worst-case optimal univariate algorithm of bi-objective Lipschitz optimization to multidimensional problems. Commun. Non-linear Sci. Numer. Simul. 21, 89\u201398 (2015)","journal-title":"Commun. Non-linear Sci. Numer. Simul."},{"key":"11_CR12","doi-asserted-by":"publisher","first-page":"1463","DOI":"10.1016\/j.procs.2017.05.051","volume":"108","author":"VP Gergel","year":"2017","unstructured":"Gergel, V.P., Kozinov, E.A.: Accelerating parallel multicriterial optimization methods based on intensive using of search information. Procedia Comput. Sci. 108, 1463\u20131472 (2017)","journal-title":"Procedia Comput. Sci."},{"key":"11_CR13","first-page":"7","volume":"2","author":"PS Krasnoshekov","year":"1979","unstructured":"Krasnoshekov, P.S., Morozov, V.V., Fedorov, V.V.: Decomposition in design problems. Eng. Cybern. 2, 7\u201317 (1979). (in Russian)","journal-title":"Eng. Cybern."},{"key":"11_CR14","doi-asserted-by":"publisher","first-page":"468","DOI":"10.1007\/978-3-642-48782-8_32","volume-title":"Multiple Objective Decision Making, Theory and Application","author":"A Wierzbicki","year":"1980","unstructured":"Wierzbicki, A.: The use of reference objectives in multiobjective optimization. In: Fandel, G., Gal, T. (eds.) Multiple Objective Decision Making, Theory and Application, vol. 177, pp. 468\u2013486. Springer-Verlag, New York (1980)"},{"key":"11_CR15","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4615-4677-1","volume-title":"Global Optimization with Non-convex Constraints: Sequential and Parallel Algorithms","author":"R Strongin","year":"2000","unstructured":"Strongin, R., Sergeyev, Y.: Global Optimization with Non-convex Constraints: Sequential and Parallel Algorithms. Kluwer Academic Publishers, Dordrecht (2000)"},{"key":"11_CR16","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4615-2025-2","volume-title":"Handbook of Global Optimization","author":"R Horst","year":"1995","unstructured":"Horst, R., Pardalos, P.M.: Handbook of Global Optimization. Kluwer Academic Publishers, Dordrecht (1995)"},{"key":"11_CR17","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-2502-5","volume-title":"Global Optimization in Action (Continuous and Lipschitz Optimization: Algorithms, Implementations and Applications)","author":"JD Pint\u00e9r","year":"1996","unstructured":"Pint\u00e9r, J.D.: Global Optimization in Action (Continuous and Lipschitz Optimization: Algorithms, Implementations and Applications). Kluwer Academic Publishers, Dordrecht (1996)"},{"key":"11_CR18","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-387-74740-8","volume-title":"Stochastic Global Optimization","author":"AA Zhigljavsky","year":"2008","unstructured":"Zhigljavsky, A.A., \u1e90ilinskas, A.: Stochastic Global Optimization. Springer, New York (2008). https:\/\/doi.org\/10.1007\/978-0-387-74740-8"},{"key":"11_CR19","series-title":"SpringerBriefs in Optimization","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4614-8042-6","volume-title":"Introduction to Global Optimization Exploiting Space-Filling Curves","author":"Yaroslav D. Sergeyev","year":"2013","unstructured":"Sergeyev, Y.D., Strongin, R.G., Lera, D.: Introduction to Global Optimization Exploiting Space-Filling Curves. Springer, Heidelberg (2013). https:\/\/doi.org\/10.1007\/978-1-4614-8042-6"},{"key":"11_CR20","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4614-9093-7","volume-title":"Simplicial Global Optimization","author":"R Paulavi\u010dius","year":"2014","unstructured":"Paulavi\u010dius, R., \u017dilinskas, J.: Simplicial Global Optimization. Springer, New York (2014). https:\/\/doi.org\/10.1007\/978-1-4614-9093-7"},{"key":"11_CR21","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4939-7199-2","volume-title":"Deterministic Global Optimization: An Introduction to the Diagonal Approach","author":"YD Sergeyev","year":"2017","unstructured":"Sergeyev, Y.D., Kvasov, D.E.: Deterministic Global Optimization: An Introduction to the Diagonal Approach. Springer, New York (2017). https:\/\/doi.org\/10.1007\/978-1-4939-7199-2"},{"key":"11_CR22","doi-asserted-by":"publisher","first-page":"185","DOI":"10.1023\/A:1008242328176","volume":"10","author":"VA Grishagin","year":"1997","unstructured":"Grishagin, V.A., Sergeyev, Y.D., Strongin, R.G.: Parallel characteristic algorithms for solving problems of global optimization. J. Glob. Optim. 10, 185\u2013206 (1997)","journal-title":"J. Glob. Optim."},{"key":"11_CR23","first-page":"270","volume":"318","author":"V Grishagin","year":"2018","unstructured":"Grishagin, V., Israfilov, R., Sergeyev, Y.: Convergence conditions and numerical comparison of global optimization methods based on dimensionality reduction schemes. Appl. Math. Comput. 318, 270\u2013280 (2018)","journal-title":"Appl. Math. Comput."},{"key":"11_CR24","doi-asserted-by":"publisher","first-page":"431","DOI":"10.1007\/0-306-48332-7_93","volume-title":"Encyclopedia of Optimization","author":"DR Jones","year":"2001","unstructured":"Jones, D.R.: The DIRECT global optimization algorithm. In: Floudas, C., Pardalos, P.M. (eds.) Encyclopedia of Optimization, pp. 431\u2013440. Kluwer Academic Publishers, Dordrecht (2001)"},{"key":"11_CR25","volume-title":"Quantitative Decision Procedures in Management and Economic: Deterministic Theory and Applications","author":"C Carr","year":"1964","unstructured":"Carr, C., Howe, C.: Quantitative Decision Procedures in Management and Economic: Deterministic Theory and Applications. McGraw-Hill, New York (1964)"},{"key":"11_CR26","doi-asserted-by":"publisher","first-page":"57","DOI":"10.1016\/0041-5553(72)90115-2","volume":"12","author":"S Piyavskij","year":"1972","unstructured":"Piyavskij, S.: An algorithm for finding the absolute extremum of a function. Comput. Math. Math. Phys. 12, 57\u201367 (1972)","journal-title":"Comput. Math. Math. Phys."},{"key":"11_CR27","first-page":"123","volume":"3","author":"Y Sergeyev","year":"2001","unstructured":"Sergeyev, Y., Grishagin, V.: Parallel asynchronous global search and the nested optimization scheme. J. Comput. Anal. Appl. 3, 123\u2013145 (2001)","journal-title":"J. Comput. Anal. Appl."},{"key":"11_CR28","doi-asserted-by":"publisher","first-page":"287","DOI":"10.1007\/s10898-009-9426-y","volume":"46","author":"ER Dam","year":"2010","unstructured":"Dam, E.R., Husslage, B., Hertog, D.: One-dimensional nested maximin designs. J. Glob. Optim. 46, 287\u2013306 (2010)","journal-title":"J. Glob. Optim."},{"key":"11_CR29","unstructured":"Grishagin, V., Israfilov, R.: Multidimensional constrained global optimization in domains with computable boundaries. In: CEUR Workshop Proceedings, vol. 1513, pp. 75\u201384 (2015)"},{"key":"11_CR30","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"505","DOI":"10.1007\/978-3-319-21909-7_49","volume-title":"Parallel Computing Technologies","author":"V Gergel","year":"2015","unstructured":"Gergel, V., Sidorov, S.: A two-level parallel global search algorithm for solution of computationally intensive multiextremal optimization problems. In: Malyshkin, V. (ed.) PaCT 2015. LNCS, vol. 9251, pp. 505\u2013515. Springer, Cham (2015). https:\/\/doi.org\/10.1007\/978-3-319-21909-7_49"},{"key":"11_CR31","doi-asserted-by":"publisher","first-page":"35","DOI":"10.1007\/s10898-015-0355-7","volume":"66","author":"V Gergel","year":"2016","unstructured":"Gergel, V., Grishagin, V., Gergel, A.: Adaptive nested optimization scheme for multidimensional global search. J. Global Optim. 66, 35\u201351 (2016)","journal-title":"J. Global Optim."},{"key":"11_CR32","doi-asserted-by":"crossref","unstructured":"Grishagin, V.A., Israfilov, R.A.: Global search acceleration in the nested optimization scheme. In: AIP Conference Proceedings, vol. 1738, p. 400010 (2016)","DOI":"10.1063\/1.4952198"},{"key":"11_CR33","volume-title":"Numerical Methods in Multiextremal Problems (Informational Statistical Algorithms)","author":"R Strongin","year":"1978","unstructured":"Strongin, R.: Numerical Methods in Multiextremal Problems (Informational Statistical Algorithms). Nauka, Moscow (1978). (in Russian)"},{"issue":"1","key":"11_CR34","doi-asserted-by":"publisher","first-page":"97","DOI":"10.1115\/1.3653121","volume":"86","author":"H. J. Kushner","year":"1964","unstructured":"Kushner, H.J.: A new method of locating the maximum point of an arbitrary multipeak curve in the presence of noise. Trans. ASME Ser. D. J. Basic Eng. 86, 97\u2013106 (1964)","journal-title":"Journal of Basic Engineering"},{"key":"11_CR35","doi-asserted-by":"publisher","first-page":"865","DOI":"10.1016\/j.procs.2015.05.216","volume":"51","author":"VP Gergel","year":"2015","unstructured":"Gergel, V.P., Grishagin, V.A., Israfilov, R.A.: Local tuning in nested scheme of global optimization. Procedia Comput. Sci. 51, 865\u2013874 (2015)","journal-title":"Procedia Comput. Sci."},{"key":"11_CR36","doi-asserted-by":"crossref","unstructured":"Gaviano, M., Kvasov, D.E., Lera D., Sergeyev Y.D.: Software for generation of classes of test functions with known local and global minima for global optimization. ACM TOMS 29, 469\u2013480 (2003)","DOI":"10.1145\/962437.962444"}],"container-title":["Lecture Notes in Computer Science","Machine Learning, Optimization, and Data Science"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-13709-0_11","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,3,7]],"date-time":"2024-03-07T14:57:21Z","timestamp":1709823441000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-030-13709-0_11"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019]]},"ISBN":["9783030137083","9783030137090"],"references-count":36,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-13709-0_11","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2019]]},"assertion":[{"value":"14 February 2019","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"LOD","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Machine Learning, Optimization, and Data Science","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Volterra","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Italy","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2018","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"13 September 2018","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"16 September 2018","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"4","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"mod2018","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/lod2018.icas.xyz\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Double-blind","order":1,"name":"type","label":"Type","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"easychair, in-house system","order":2,"name":"conference_management_system","label":"Conference Management System","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"126","order":3,"name":"number_of_submissions_sent_for_review","label":"Number of Submissions Sent for Review","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"46","order":4,"name":"number_of_full_papers_accepted","label":"Number of Full Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"0","order":5,"name":"number_of_short_papers_accepted","label":"Number of Short Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"37% - The value is computed by the equation \"Number of Full Papers Accepted \/ Number of Submissions Sent for Review * 100\" and then rounded to a whole number.","order":6,"name":"acceptance_rate_of_full_papers","label":"Acceptance Rate of Full Papers","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"5","order":7,"name":"average_number_of_reviews_per_paper","label":"Average Number of Reviews per Paper","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"1.5","order":8,"name":"average_number_of_papers_per_reviewer","label":"Average Number of Papers per Reviewer","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"Yes","order":9,"name":"external_reviewers_involved","label":"External Reviewers Involved","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}}]}}