{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,4,9]],"date-time":"2025-04-09T12:51:02Z","timestamp":1744203062006},"reference-count":60,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2012,6,21]],"date-time":"2012-06-21T00:00:00Z","timestamp":1340236800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Mach. Learn. &amp; Cyber."],"published-print":{"date-parts":[[2013,8]]},"DOI":"10.1007\/s13042-012-0104-x","type":"journal-article","created":{"date-parts":[[2012,6,20]],"date-time":"2012-06-20T06:48:29Z","timestamp":1340174909000},"page":"373-389","source":"Crossref","is-referenced-by-count":3,"title":["Probabilistic DEAR models"],"prefix":"10.1007","volume":"4","author":[{"given":"Yanhong","family":"Cui","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Renkuan","family":"Guo","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Danni","family":"Guo","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2012,6,21]]},"reference":[{"key":"104_CR1","volume-title":"Support vector machines for pattern classification","author":"S Abe","year":"2005","unstructured":"Abe S (2005) Support vector machines for pattern classification. Springer, New York"},{"key":"104_CR2","first-page":"308","volume":"2130","author":"S Abe","year":"2001","unstructured":"Abe S, Inoue T (2001) Fast training of support vector machines by extracting boundary data. Artif Neural Netw ICANN 2130:308\u2013313","journal-title":"Artif Neural Netw ICANN"},{"issue":"10","key":"104_CR3","doi-asserted-by":"crossref","first-page":"935","DOI":"10.1088\/0967-3334\/27\/10\/001","volume":"27","author":"FR Allen","year":"2006","unstructured":"Allen FR, Ambikairajah E, Lovell NH, Celler BG (2006) Classification of a known sequence of motions and postures from accelerometry data using adapted Gaussian mixture models. Physiol Meas 27(10):935\u2013952","journal-title":"Physiol Meas"},{"key":"104_CR4","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/978-3-540-24646-6_1","volume":"3001","author":"L Bao","year":"2004","unstructured":"Bao L, Intille SS (2004) Activity recognition from user-annotated acceleration data. Pervasive Comput 3001:1\u201317","journal-title":"Pervasive Comput"},{"key":"104_CR5","doi-asserted-by":"crossref","DOI":"10.1002\/9780470316870","volume-title":"Bayesian theory","author":"JM Bernarido","year":"1994","unstructured":"Bernarido JM, Smith AFM (1994) Bayesian theory. Wiley, England"},{"key":"104_CR6","doi-asserted-by":"crossref","unstructured":"Billard L, Diday E (2000) Regression analysis for interval-valued data. In: Data analysis, classification and related methods, proceedings of the 7th conference of the international federation of classification societies. Springer, Belgium, pp 369\u2013374","DOI":"10.1007\/978-3-642-59789-3_58"},{"key":"104_CR7","doi-asserted-by":"crossref","first-page":"263","DOI":"10.1007\/BF00244272","volume":"1","author":"A Bundy","year":"1985","unstructured":"Bundy A (1985) Incidence calculus: a mechanism for probabilistic reasoning. J Autom Reason 1:263\u2013283","journal-title":"J Autom Reason"},{"key":"104_CR8","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1007\/BF02432147","volume":"2","author":"A Bundy","year":"1986","unstructured":"Bundy A (1986) Correctness criteria of some algorithms for uncertain reasoning using incidence calculus. J Autom Reason 2:109\u2013126","journal-title":"J Autom Reason"},{"key":"104_CR9","volume-title":"Introductory mathematical statistical theory","author":"XR Chen","year":"1981","unstructured":"Chen XR (1981) Introductory mathematical statistical theory. The Scientific Publishing House, Beijing"},{"issue":"1","key":"104_CR10","doi-asserted-by":"crossref","first-page":"42","DOI":"10.1109\/TSMCA.2004.838501","volume":"35","author":"R Cucchiara","year":"2005","unstructured":"Cucchiara R, Grana C, Prati A, Vezzani R (2005) Probabilistic posture classification for human-behavior analysis. IEEE Trans Syst Man Cybern Part A 35(1):42\u201354","journal-title":"IEEE Trans Syst Man Cybern Part A"},{"key":"104_CR11","first-page":"51","volume":"1","author":"YH Cui","year":"2011","unstructured":"Cui YH, Guo R (2011) Nash-lambda Algorithm with applications in reliability and risk. J Pol Saf Reliab Assoc Summer Saf Reliab Semin 1:51\u201358","journal-title":"J Pol Saf Reliab Assoc Summer Saf Reliab Semin"},{"issue":"9","key":"104_CR12","first-page":"925","volume":"4","author":"YH Cui","year":"2009","unstructured":"Cui YH, Guo R, Guo D (2009) A na\u00efve five-element string algorithm. J Softw 4(9):925\u2013934","journal-title":"J Softw"},{"key":"104_CR13","unstructured":"Cui YH, Guo R, Guo D (2010) Lambda algorithm. J Uncertain Syst 4(1):22\u201333 (World Academic Union)"},{"key":"104_CR14","first-page":"51","volume":"1","author":"YH Cui","year":"2010","unstructured":"Cui YH, Guo R, Dunne T, Guo D (2010) Decision theory under general uncertainty. J Pol Saf Reliab Assoc Summer Saf Reliab Semin 1:51\u201366","journal-title":"J Pol Saf Reliab Assoc Summer Saf Reliab Semin"},{"issue":"1","key":"104_CR15","first-page":"70","volume":"2","author":"YH Cui","year":"2011","unstructured":"Cui YH, Guo R, Dunne T, Guo D (2011) Bayesian uncertainty decision analysis. Reliab Risk Anal Theory Appl Electron J Int Group Reliab Gnedenko E-Forum 2(1):70\u201381","journal-title":"Reliab Risk Anal Theory Appl Electron J Int Group Reliab Gnedenko E-Forum"},{"key":"104_CR16","first-page":"59","volume":"1","author":"YH Cui","year":"2011","unstructured":"Cui YH, Guo R, Guo D (2011) Lambda algorithm and maximum likelihood estimation. J Pol Saf Reliab Assoc Summer Saf Reliab Semin 1:59\u201372","journal-title":"J Pol Saf Reliab Assoc Summer Saf Reliab Semin"},{"issue":"3","key":"104_CR17","first-page":"7","volume":"3","author":"JL Deng","year":"1984","unstructured":"Deng JL (1984) Grey dynamic modeling and its application in long-term prediction of food productions. Explor Nat 3(3):7\u201343","journal-title":"Explor Nat"},{"key":"104_CR18","volume-title":"Grey systems (social economical)","author":"JL Deng","year":"1985","unstructured":"Deng JL (1985) Grey systems (social economical). The Publishing House of Defense Industry, Beijing"},{"key":"104_CR19","volume-title":"Grey prediction and decision","author":"JL Deng","year":"2002","unstructured":"Deng JL (2002) Grey prediction and decision, 2nd edn. Huazhong University of Technology Press, Wuhan","edition":"2"},{"key":"104_CR20","volume-title":"Grey theoretical foundations","author":"JL Deng","year":"2002","unstructured":"Deng JL (2002) Grey theoretical foundations. The Publishing House of Hua-Zhong University of Science and Technology, Wuhan"},{"key":"104_CR21","volume-title":"The primary methods of grey system theory (a Chinese-English terminology dictionary)","author":"JL Deng","year":"2004","unstructured":"Deng JL (2004) The primary methods of grey system theory (a Chinese-English terminology dictionary), 2nd edn. Huazhong University of Technology Press, Wuhan","edition":"2"},{"issue":"2\u20133","key":"104_CR22","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1023\/A:1007413511361","volume":"29","author":"P Domingos","year":"1997","unstructured":"Domingos P, Pazzani M (1997) On the optimality of the simple Bayesian classifier under zero-one loss. Mach Learn 29(2\u20133):103\u2013130","journal-title":"Mach Learn"},{"key":"104_CR23","volume-title":"Applied regression analysis","author":"N Draper","year":"1966","unstructured":"Draper N, Smith H (1966) Applied regression analysis, 2nd edn. Wiley, New York","edition":"2"},{"issue":"1","key":"104_CR24","first-page":"69","volume":"8","author":"R Guo","year":"2005","unstructured":"Guo R (2005) Repairable system modeling via grey differential equations. J Grey Syst 8(1):69\u201392","journal-title":"J Grey Syst"},{"key":"104_CR25","unstructured":"Guo R (2007) Grey differential equation GM(1,1) model in reliability engineering. In: Computational intelligence in reliability engineering. New metaheuristics, neural and fuzzy techniques in reliability, vol 2, chap 26, pp 387\u2013413"},{"key":"104_CR26","doi-asserted-by":"crossref","first-page":"104","DOI":"10.1007\/978-3-642-04898-2_137","volume-title":"International encyclopedia of statistical science","author":"R Guo","year":"2011","unstructured":"Guo R (2011) Bayesian reliability modelling. In: Lovric M (ed) International encyclopedia of statistical science. Springer, Berlin, pp 104\u2013105"},{"key":"104_CR27","doi-asserted-by":"crossref","unstructured":"Guo R, Guo D (2007) Univariate DEMR model\u2014formation and foundation. In: Proceedings of 2007 IEEE international conference on grey systems and intelligent services, Nanjing, China, pp 13\u201318","DOI":"10.1109\/GSIS.2007.4443229"},{"key":"104_CR28","doi-asserted-by":"crossref","unstructured":"Guo R, Guo D (2007) Multivariate DEMR model\u2014formation and foundation. In: Proceedings of 2007 IEEE international conference on grey systems and intelligent services, Nanjing, China, pp 19\u201325","DOI":"10.1109\/GSIS.2007.4443230"},{"issue":"1","key":"104_CR29","first-page":"64","volume":"2","author":"R Guo","year":"2009","unstructured":"Guo R, Guo D (2009) DEAR theory in system analysis. Reliab Risk Anal Theory Appl Electron J Int Group Reliab Gnedenko E-Forum 2(1):64\u201378","journal-title":"Reliab Risk Anal Theory Appl Electron J Int Group Reliab Gnedenko E-Forum"},{"issue":"2","key":"104_CR30","doi-asserted-by":"crossref","first-page":"185","DOI":"10.1007\/s00500-008-0301-4","volume":"13","author":"R Guo","year":"2009","unstructured":"Guo R, Guo D (2009) Random fuzzy variable foundation for grey differential equation modelling. Soft Comput 13(2):185\u2013201","journal-title":"Soft Comput"},{"key":"104_CR31","unstructured":"Guo R, Love CE (2005) Grey repairable system analysis (plenary lecture), advances in safety and reliability. In: Proceedings of the European safety and reliability conference, Tri City, Poland, pp 753\u2013766"},{"issue":"2","key":"104_CR32","first-page":"143","volume":"9","author":"D Guo","year":"2006","unstructured":"Guo D, Guo R, Thiart C (2006) The coupling of regression modeling and differential equation model in GM(1,1) modeling and extended GM(1,1) models. J Grey Syst 9(2):143\u2013154","journal-title":"J Grey Syst"},{"key":"104_CR33","unstructured":"Guo D, Guo R, Midgley GF, Ebrahim I (2007) DEMR modeling Brunsvigia littoralis plant distribution in 2004, Western Region District Council, South Africa. In: Proceedings of the sixth international conference on information and management sciences, Lhasa, Tibet, China, pp 770\u2013782"},{"key":"104_CR34","unstructured":"Guo R, Guo D, Midgley GF, Rebelo AG (2007) Bivariate DEMR modeling of range shifts in Aulax umbellata shrubs from 1992 to 2002 in South Africa. In: Proceedings of the sixth international conference on information and management sciences, Lhasa, Tibet, China, pp 783\u2013791"},{"key":"104_CR35","doi-asserted-by":"crossref","unstructured":"Guo R, Guo D, Thiart C (2007) DEMR embedded models in density saddlepoint approximations. In: Proceedings of IEEE international conference on grey systems and intelligent services, Nanjing, China, pp 57\u201362","DOI":"10.1109\/GSIS.2007.4443237"},{"key":"104_CR36","unstructured":"Guo R, Dunne T, Cheng CY (2008) DEAR CUSUM control chart. In: Proceedings of 3rd Asian international workshop on advanced reliability modelling III: global aspect of reliability and maintainability, Taichung, Taiwan, pp 800\u2013808"},{"issue":"1","key":"104_CR37","first-page":"36","volume":"3","author":"R Guo","year":"2009","unstructured":"Guo R, Guo D, Dunne T, Thiart C (2009) DEAR model\u2014the theoretical foundation. J Uncertain Syst 3(1):36\u201351","journal-title":"J Uncertain Syst"},{"key":"104_CR38","unstructured":"Haussler D (1990) Probably approximately correct learning. In: AAAI-90 proceedings of the eight national conference on artificial intelligence, Boston, MA. American Association for Artificial Intelligence, USA, pp 1101\u20131108"},{"key":"104_CR39","doi-asserted-by":"crossref","first-page":"78","DOI":"10.1016\/0890-5401(92)90010-D","volume":"100","author":"D Haussler","year":"1992","unstructured":"Haussler D (1992) Decision theoretic generalizations of the PAC model for neural net and other learning applications. Inf Comput 100:78\u2013150","journal-title":"Inf Comput"},{"issue":"2","key":"104_CR40","doi-asserted-by":"crossref","first-page":"415","DOI":"10.1109\/72.991427","volume":"13","author":"CW Hsu","year":"2002","unstructured":"Hsu CW, Lin CJ (2002) A comparison of methods for multiclass support vector machines. IEEE Trans Neural Netw 13(2):415\u2013425","journal-title":"IEEE Trans Neural Netw"},{"issue":"3","key":"104_CR41","first-page":"690","volume":"29","author":"A Jin","year":"2009","unstructured":"Jin A, Jiang JH, Lou JG, Zhang R (2009) Software reliability modeling based on grey system theory. J Comput Appl 29(3):690\u2013694","journal-title":"J Comput Appl"},{"key":"104_CR42","doi-asserted-by":"crossref","DOI":"10.7551\/mitpress\/3897.001.0001","volume-title":"An introduction to computational learning theory","author":"M Kearns","year":"1994","unstructured":"Kearns M, Vazirani U (1994) An introduction to computational learning theory. MIT Press, Cambridge"},{"issue":"3","key":"104_CR43","first-page":"57","volume":"2","author":"R Koggalage","year":"2004","unstructured":"Koggalage R, Halgamuge S (2004) Reducing the number of training samples for fast support vector machine classification. Neural Inf Process Lett Rev 2(3):57\u201365","journal-title":"Neural Inf Process Lett Rev"},{"key":"104_CR44","first-page":"307","volume":"16","author":"J Lafferty","year":"2006","unstructured":"Lafferty J, Wasserman L (2006) Challenges in statistical machine learning. Stat Sin 16:307\u2013322","journal-title":"Stat Sin"},{"key":"104_CR45","volume-title":"Bayesian statistics: an introduction","author":"PM Lee","year":"1989","unstructured":"Lee PM (1989) Bayesian statistics: an introduction. Oxford University Press, New York"},{"key":"104_CR46","volume-title":"Uncertainty theory: an introduction to its axiomatic foundations","author":"BD Liu","year":"2007","unstructured":"Liu BD (2007) Uncertainty theory: an introduction to its axiomatic foundations, 2nd edn. Springer, Heidelberg","edition":"2"},{"key":"104_CR47","volume-title":"Uncertainty theory: a branch of mathematics of modelling human uncertainty","author":"BD Liu","year":"2010","unstructured":"Liu BD (2010) Uncertainty theory: a branch of mathematics of modelling human uncertainty. Springer, Berlin"},{"key":"104_CR48","volume-title":"Grey information","author":"SF Liu","year":"2006","unstructured":"Liu SF, Lin Y (2006) Grey information. Springer, London"},{"key":"104_CR49","doi-asserted-by":"crossref","first-page":"355","DOI":"10.1023\/A:1007618624809","volume":"37","author":"D MacAllester","year":"1999","unstructured":"MacAllester D (1999) Some PAC-Bayesian theorems. Mach Learn 37:355\u2013363","journal-title":"Mach Learn"},{"key":"104_CR50","doi-asserted-by":"crossref","unstructured":"Mierswa I, Wurst M, Klinkenberg R, Scholz M, Euler T (2006) YALE: rapid prototyping for complex data mining tasks. In: Proceedings of the 12th ACM SIGKDD international conference on knowledge discovery and data mining, pp 935\u2013940","DOI":"10.1145\/1150402.1150531"},{"key":"104_CR51","volume-title":"Interval analysis","author":"RE Moore","year":"1966","unstructured":"Moore RE (1966) Interval analysis. Prentice-Hall, Englewood Cliff"},{"key":"104_CR52","unstructured":"Myers RH (2000) Classical and Modern Regression with Applications, 2nd edn. Duxbury Press"},{"key":"104_CR53","volume-title":"Linear statistical inference and its applications","author":"CR Rao","year":"1973","unstructured":"Rao CR (1973) Linear statistical inference and its applications. Wiley, New York"},{"key":"104_CR54","volume-title":"Gaussian processes for machine learning","author":"CE Rasmussen","year":"2006","unstructured":"Rasmussen CE, Williams CKI (2006) Gaussian processes for machine learning. MIT Press, Cambridge"},{"key":"104_CR55","unstructured":"Snelson E, Ghahramani Z, Rasmussen C (2004) Warped Gaussian processes. In: Thrun S, Saul L, Sch\u00f6lkopf B (eds) Advances in neural information processing systems, vol 16. MIT Press, Cambridge, pp 337\u2013344"},{"issue":"11","key":"104_CR56","doi-asserted-by":"crossref","first-page":"1134","DOI":"10.1145\/1968.1972","volume":"27","author":"LG Valiant","year":"1984","unstructured":"Valiant LG (1984) A theory of the learnable. Commun ACM 27(11):1134\u20131142","journal-title":"Commun ACM"},{"key":"104_CR57","volume-title":"Grey systems\u2014modeling and prediction","author":"KL Wen","year":"2004","unstructured":"Wen KL (2004) Grey systems\u2014modeling and prediction. Yang\u2019s Scientific Press, Tucson"},{"key":"104_CR58","first-page":"598","volume-title":"Advances in neural information processing systems","author":"CKI Williams","year":"1996","unstructured":"Williams CKI, Rasmussen CE (1996) Gaussian processes for regression. In: Touretzky DS, Mozer MC, Hasselmo ME (eds) Advances in neural information processing systems, vol 8. MIT Press, Cambridge, pp 598\u2013604"},{"key":"104_CR59","volume-title":"Data mining: practical machine learning tools and techniques. The Morgan Kaufmann series in data management system","author":"IH Witten","year":"2005","unstructured":"Witten IH, Frank E (2005) Data mining: practical machine learning tools and techniques. The Morgan Kaufmann series in data management system, 2nd edn. Elsevier, Amsterdam","edition":"2"},{"key":"104_CR60","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1016\/0165-0114(78)90029-5","volume":"1","author":"LA Zadeh","year":"1978","unstructured":"Zadeh LA (1978) Fuzzy sets as a basis for a theory of possibility. Fuzzy Sets Syst 1:3\u201328","journal-title":"Fuzzy Sets Syst"}],"container-title":["International Journal of Machine Learning and Cybernetics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s13042-012-0104-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s13042-012-0104-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s13042-012-0104-x","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,30]],"date-time":"2019-06-30T04:27:36Z","timestamp":1561868856000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s13042-012-0104-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,6,21]]},"references-count":60,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2013,8]]}},"alternative-id":["104"],"URL":"https:\/\/doi.org\/10.1007\/s13042-012-0104-x","relation":{},"ISSN":["1868-8071","1868-808X"],"issn-type":[{"value":"1868-8071","type":"print"},{"value":"1868-808X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,6,21]]}}}