{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,30]],"date-time":"2026-04-30T03:54:11Z","timestamp":1777521251951,"version":"3.51.4"},"reference-count":47,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2015,5,10]],"date-time":"2015-05-10T00:00:00Z","timestamp":1431216000000},"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":["Appl Intell"],"published-print":{"date-parts":[[2015,10]]},"DOI":"10.1007\/s10489-015-0666-x","type":"journal-article","created":{"date-parts":[[2015,5,9]],"date-time":"2015-05-09T00:14:27Z","timestamp":1431130467000},"page":"614-632","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":133,"title":["Missing data imputation by K nearest neighbours based on grey relational structure and mutual information"],"prefix":"10.1007","volume":"43","author":[{"given":"Ruilin","family":"Pan","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tingsheng","family":"Yang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jianhua","family":"Cao","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ke","family":"Lu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhanchao","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2015,5,10]]},"reference":[{"key":"666_CR1","doi-asserted-by":"crossref","unstructured":"Heinzelman WR, Kulik J, Balakrishnan H (1999) Adaptive protocols for information dissemination in wireless sensor networks. In: Proceedings of the 5th annual ACM\/IEEE International conference on Mobile computing and networking. ACM, pp 174\u2013185","DOI":"10.1145\/313451.313529"},{"key":"666_CR2","unstructured":"Kim H, Golub GH, Park H (2004) Imputation of missing values in DNA microarray gene expression data. In: Proceedings of 2004 IEEE computational systems bioinformatics conference, CSB 2004. IEEE, pp 572\u2013573"},{"issue":"2","key":"666_CR3","doi-asserted-by":"crossref","first-page":"187","DOI":"10.1093\/bioinformatics\/bth499","volume":"21","author":"H Kim","year":"2005","unstructured":"Kim H, Golub GH, Park H (2005) Missing value estimation for DNA microarray gene expression data: local least squares imputation. Bioinformatics 21(2):187\u2013198","journal-title":"Bioinformatics"},{"issue":"10","key":"666_CR4","doi-asserted-by":"crossref","first-page":"2417","DOI":"10.1093\/bioinformatics\/bti345","volume":"21","author":"MSB Sehgal","year":"2005","unstructured":"Sehgal MSB, Gondal I, Dooley LS (2005) Collateral missing value imputation: a new robust missing value estimation algorithm for microarray data. Bioinformatics 21(10):2417\u20132423","journal-title":"Bioinformatics"},{"key":"666_CR5","volume-title":"Data preparation for data mining, vol 1","author":"D Pyle","year":"1999","unstructured":"Pyle D (1999) Data preparation for data mining, vol 1. Morgan Kaufmann, San Francisco"},{"key":"666_CR6","doi-asserted-by":"crossref","unstructured":"Schafer JL (1997) Analysis of incomplete multivariate data. CRC Press, Boca Raton","DOI":"10.1201\/9781439821862"},{"key":"666_CR7","doi-asserted-by":"crossref","DOI":"10.1002\/9781119013563","volume-title":"Statistical analysis with missing data","author":"RJ Little","year":"2002","unstructured":"Little RJ, Rubin DB (2002) Statistical analysis with missing data. Wiley, New York"},{"issue":"5-6","key":"666_CR8","doi-asserted-by":"crossref","first-page":"519","DOI":"10.1080\/713827181","volume":"17","author":"GE Batista","year":"2003","unstructured":"Batista GE, Monard MC (2003) An analysis of four missing data treatment methods for supervised learning. Appl Artif Intell 17(5-6):519\u2013533","journal-title":"Appl Artif Intell"},{"issue":"1","key":"666_CR9","first-page":"32","volume":"9","author":"S Zhang","year":"2008","unstructured":"Zhang S (2008) Parimputation: from imputation and null-imputation to partially imputation. IEEE Intell Inform Bull 9(1):32\u201338","journal-title":"IEEE Intell Inform Bull"},{"issue":"6","key":"666_CR10","doi-asserted-by":"crossref","first-page":"520","DOI":"10.1093\/bioinformatics\/17.6.520","volume":"17","author":"O Troyanskaya","year":"2001","unstructured":"Troyanskaya O, Cantor M, Sherlock G, Brown P, Hastie T, Tibshirani R, Botstein D, Altman RB (2001) Missing value estimation methods for DNA microarrays. Bioinformatics 17(6):520\u2013525","journal-title":"Bioinformatics"},{"key":"666_CR11","doi-asserted-by":"crossref","unstructured":"de Andrade Silva J, Hruschka ER (2009) EACImpute: an evolutionary algorithm for clustering-based imputation. In: 9th International conference on intelligent systems design and applications, ISDA\u201909. IEEE, pp 1400\u20131406","DOI":"10.1109\/ISDA.2009.86"},{"key":"666_CR12","doi-asserted-by":"crossref","unstructured":"Keerin P, Kurutach W, Boongoen T (2012) Cluster-based KNN missing value imputation for DNA microarray data. In: 2012 IEEE International conference on systems, man, and cybernetics (SMC). IEEE, pp 445\u2013450","DOI":"10.1109\/ICSMC.2012.6377764"},{"key":"666_CR13","unstructured":"Hruschka ER, Hruschka Jr ER, Ebecken NF (2005) Towards efficient imputation by nearest-neighbors: a clustering-based approach. In: AI 2004: advances in artificial intelligence. Springer, Berlin Heidelberg New York, pp 513\u2013525"},{"issue":"1","key":"666_CR14","doi-asserted-by":"crossref","first-page":"160","DOI":"10.1186\/1471-2105-5-160","volume":"5","author":"K-Y Kim","year":"2004","unstructured":"Kim K-Y, Kim B-J, Yi G-S (2004) Reuse of imputed data in microarray analysis increases imputation efficiency. BMC Bioinformatics 5(1):160","journal-title":"BMC Bioinformatics"},{"issue":"3","key":"666_CR15","doi-asserted-by":"crossref","first-page":"239","DOI":"10.1023\/B:APIN.0000021416.41043.0f","volume":"20","author":"C-C Huang","year":"2004","unstructured":"Huang C-C, Lee H-M (2004) A grey-based nearest neighbor approach for missing attribute value prediction. Appl Intell 20(3):239\u2013252","journal-title":"Appl Intell"},{"issue":"11","key":"666_CR16","doi-asserted-by":"crossref","first-page":"2541","DOI":"10.1016\/j.jss.2012.05.073","volume":"85","author":"S Zhang","year":"2012","unstructured":"Zhang S (2012) Nearest neighbor selection for iteratively kNN imputation. J Syst Softw 85(11):2541\u20132552","journal-title":"J Syst Softw"},{"key":"666_CR17","doi-asserted-by":"crossref","first-page":"101","DOI":"10.1016\/S0735-004X(06)19005-9","volume":"19","author":"C Enders","year":"2006","unstructured":"Enders C, Dietz S, Montague M, Dixon J (2006) Modern alternatives for dealing with missing data in special education research. Advances in Learning and Behavioral Disabilities 19:101\u2013129","journal-title":"Advances in Learning and Behavioral Disabilities"},{"issue":"6","key":"666_CR18","doi-asserted-by":"crossref","first-page":"6793","DOI":"10.1016\/j.eswa.2010.12.067","volume":"38","author":"AG Di Nuovo","year":"2011","unstructured":"Di Nuovo AG (2011) Missing data analysis with fuzzy C-Means: a study of its application in a psychological scenario. Expert Syst Appl 38(6):6793\u20136797","journal-title":"Expert Syst Appl"},{"key":"666_CR19","volume-title":"C4. 5: programs for machine learning, vol 1","author":"JR Quinlan","year":"1993","unstructured":"Quinlan JR (1993) C4. 5: programs for machine learning, vol 1. Morgan Kaufmann, Los Altos"},{"issue":"3","key":"666_CR20","doi-asserted-by":"crossref","first-page":"714","DOI":"10.1016\/j.ins.2007.09.004","volume":"178","author":"C-J Tsai","year":"2008","unstructured":"Tsai C-J, Lee C-I, Yang W-P (2008) A discretization algorithm based on class-attribute contingency coefficient. Inf Sci 178(3):714\u2013731","journal-title":"Inf Sci"},{"issue":"2","key":"666_CR21","doi-asserted-by":"crossref","first-page":"305","DOI":"10.1016\/j.cam.2009.06.011","volume":"232","author":"JF Mu\u00f1oz","year":"2009","unstructured":"Mu\u00f1oz JF, Rueda M (2009) New imputation methods for missing data using quantiles. J Comput Appl Math 232(2):305\u2013317","journal-title":"J Comput Appl Math"},{"issue":"18","key":"666_CR22","doi-asserted-by":"crossref","first-page":"2895","DOI":"10.1016\/j.atmosenv.2004.02.026","volume":"38","author":"H Junninen","year":"2004","unstructured":"Junninen H, Niska H, Tuppurainen K, Ruuskanen J, Kolehmainen M (2004) Methods for imputation of missing values in air quality data sets. Atmos Environ 38(18):2895\u20132907","journal-title":"Atmos Environ"},{"key":"666_CR23","doi-asserted-by":"crossref","first-page":"1080","DOI":"10.1007\/978-3-540-71701-0_122","volume-title":"Advances in knowledge discovery and data mining","author":"C Zhang","year":"2007","unstructured":"Zhang C, Zhu X, Zhang J, Qin Y, Zhang S (2007) GBKII: an imputation method for missing values. In: Advances in knowledge discovery and data mining. Springer, Berlin Heidelberg New York, pp 1080\u20131087"},{"key":"666_CR24","doi-asserted-by":"crossref","unstructured":"Little RJ, Rubin DB (2002) Statistical analysis with missing data","DOI":"10.1002\/9781119013563"},{"key":"666_CR25","doi-asserted-by":"crossref","unstructured":"Dempster AP, Laird NM, Rubin DB (1977) Maximum likelihood from incomplete data via the EM algorithm. J R Stat Soc Ser B Methodol:1\u201338","DOI":"10.1111\/j.2517-6161.1977.tb01600.x"},{"issue":"4","key":"666_CR26","doi-asserted-by":"crossref","first-page":"791","DOI":"10.1007\/s00362-007-0045-8","volume":"49","author":"S Gonz\u00e1lez","year":"2008","unstructured":"Gonz\u00e1lez S, Rueda M, Arcos A (2008) An improved estimator to analyse missing data. Stat Pap 49 (4):791\u2013796","journal-title":"Stat Pap"},{"key":"666_CR27","doi-asserted-by":"crossref","first-page":"128","DOI":"10.1007\/978-3-540-79299-4_7","volume-title":"Transactions on computational science I","author":"S Zhang","year":"2008","unstructured":"Zhang S, Zhang J, Zhu X, Qin Y, Zhang C (2008) Missing value imputation based on data clustering. In: Transactions on computational science I. Springer, Berlin Heidelberg New York , pp 128\u2013138"},{"key":"666_CR28","doi-asserted-by":"crossref","unstructured":"Gupta A, Lam MS (1996) Estimating missing values using neural networks. J Oper Res Soc:229\u2013238","DOI":"10.1057\/jors.1996.21"},{"issue":"2","key":"666_CR29","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1016\/j.artmed.2010.05.002","volume":"50","author":"JM Jerez","year":"2010","unstructured":"Jerez JM, Molina I, Garc\u00eda-Laencina PJ, Alba E, Ribelles N, Mart\u00edn M, Franco L (2010) Missing data imputation using statistical and machine learning methods in a real breast cancer problem. Artif Intell Med 50(2):105\u2013115","journal-title":"Artif Intell Med"},{"issue":"4","key":"666_CR30","doi-asserted-by":"crossref","first-page":"300","DOI":"10.1007\/s005210200002","volume":"10","author":"F Fessant","year":"2002","unstructured":"Fessant F, Midenet S (2002) Self-organising map for data imputation and correction in surveys. Neural Comput & Applic 10(4):300\u2013310","journal-title":"Neural Comput & Applic"},{"issue":"2","key":"666_CR31","doi-asserted-by":"crossref","first-page":"273","DOI":"10.1016\/j.bioeng.2007.04.003","volume":"24","author":"LP Br\u00e1s","year":"2007","unstructured":"Br\u00e1s LP, Menezes JC (2007) Improving cluster-based missing value estimation of DNA microarray data. Biomol Eng 24(2):273\u2013282","journal-title":"Biomol Eng"},{"issue":"0","key":"666_CR32","doi-asserted-by":"crossref","first-page":"596","DOI":"10.1016\/j.ins.2010.12.017","volume":"259","author":"J Van Hulse","year":"2014","unstructured":"Van Hulse J, Khoshgoftaar TM (2014) Incomplete-case nearest neighbor imputation in software measurement data. Inf Sci 259(0):596\u2013610","journal-title":"Inf Sci"},{"issue":"7-9","key":"666_CR33","doi-asserted-by":"crossref","first-page":"1483","DOI":"10.1016\/j.neucom.2008.11.026","volume":"72","author":"PJ Garc\u00eda-Laencina","year":"2009","unstructured":"Garc\u00eda-Laencina PJ, Sancho-G\u00f3mez J-L, Figueiras-Vidal AR, Verleysen M (2009) K nearest neighbours with mutual information for simultaneous classification and missing data imputation. Neurocomputing 72(7-9):1483\u20131493","journal-title":"Neurocomputing"},{"issue":"3","key":"666_CR34","doi-asserted-by":"crossref","first-page":"452","DOI":"10.1016\/j.jss.2010.11.887","volume":"84","author":"S Zhang","year":"2011","unstructured":"Zhang S, Jin Z, Zhu X (2011) Missing data imputation by utilizing information within incomplete instances. J Syst Softw 84(3):452\u2013459","journal-title":"J Syst Softw"},{"issue":"1","key":"666_CR35","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.ins.2004.02.014","volume":"169","author":"I Wasito","year":"2005","unstructured":"Wasito I, Mirkin B (2005) Nearest neighbour approach in the least-squares data imputation algorithms. Inf Sci 169(1):1\u201325","journal-title":"Inf Sci"},{"key":"666_CR36","doi-asserted-by":"crossref","first-page":"573","DOI":"10.1007\/978-3-540-25929-9_70","volume-title":"Rough sets and current trends in computing","author":"D Li","year":"2004","unstructured":"Li D, Deogun J, Spaulding W, Shuart B (2004) Towards missing data imputation: a study of fuzzy k-means clustering method. In: Rough sets and current trends in computing. Springer, Berlin Heidelberg New York, pp 573\u2013579"},{"issue":"2","key":"666_CR37","doi-asserted-by":"crossref","first-page":"376","DOI":"10.1007\/s10489-013-0469-x","volume":"40","author":"J Tian","year":"2014","unstructured":"Tian J, Yu B, Yu D, Ma S (2014) Missing data analyses: a hybrid multiple imputation algorithm using gray system theory and entropy based on clustering. Appl Intell 40(2):376\u2013388","journal-title":"Appl Intell"},{"issue":"1","key":"666_CR38","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s10115-007-0114-2","volume":"14","author":"X Wu","year":"2008","unstructured":"Wu X, Kumar V, Quinlan JR, Ghosh J, Yang Q, Motoda H, McLachlan GJ, Ng A, Liu B, Philip SY (2008) Top 10 algorithms in data mining. Knowl Inf Syst 14(1):1\u201337","journal-title":"Knowl Inf Syst"},{"issue":"3","key":"666_CR39","doi-asserted-by":"crossref","first-page":"679","DOI":"10.1029\/95WR02966","volume":"32","author":"U Lall","year":"1996","unstructured":"Lall U, Sharma A (1996) A nearest neighbor bootstrap for resampling hydrologic time series. Water Resour Res 32(3):679\u2013693","journal-title":"Water Resour Res"},{"key":"666_CR40","volume-title":"Information theory and statistics","author":"S Kullback","year":"1997","unstructured":"Kullback S (1997) Information theory and statistics. Courier Dover Publications, New York"},{"issue":"8","key":"666_CR41","doi-asserted-by":"crossref","first-page":"1226","DOI":"10.1109\/TPAMI.2005.159","volume":"27","author":"H Peng","year":"2005","unstructured":"Peng H, Long F, Ding C (2005) Feature selection based on mutual information criteria of max-dependency, max-relevance, and min-redundancy. IEEE Trans Pattern Anal Mach Intell 27(8):1226\u20131238","journal-title":"IEEE Trans Pattern Anal Mach Intell"},{"issue":"5","key":"666_CR42","doi-asserted-by":"crossref","first-page":"288","DOI":"10.1016\/S0167-6911(82)80025-X","volume":"1","author":"D Ju-Long","year":"1982","unstructured":"Ju-Long D (1982) Control problems of grey systems. Syst Control Lett 1(5):288\u2013294","journal-title":"Syst Control Lett"},{"issue":"12","key":"666_CR43","doi-asserted-by":"crossref","first-page":"1667","DOI":"10.1109\/TPAMI.2002.1114861","volume":"24","author":"N Kwak","year":"2002","unstructured":"Kwak N, Choi C-H (2002) Input feature selection by mutual information based on Parzen window. IEEE Trans Pattern Anal Mach Intell 24(12):1667\u20131671","journal-title":"IEEE Trans Pattern Anal Mach Intell"},{"key":"666_CR44","doi-asserted-by":"crossref","first-page":"325","DOI":"10.1109\/TSMC.1976.5408784","volume":"4","author":"SA Dudani","year":"1976","unstructured":"Dudani SA (1976) The distance-weighted k-nearest-neighbor rule. IEEE Trans Syst Man Cybern 4:325\u2013327","journal-title":"IEEE Trans Syst Man Cybern"},{"issue":"1","key":"666_CR45","doi-asserted-by":"crossref","first-page":"61","DOI":"10.1007\/s10489-010-0244-1","volume":"36","author":"B Zhu","year":"2012","unstructured":"Zhu B, He C, Liatsis P (2012) A robust missing value imputation method for noisy data. Appl Intell 36(1):61\u201374","journal-title":"Appl Intell"},{"key":"666_CR46","unstructured":"Keller G (2011) Statistics for management and economics. Cengage Learning"},{"issue":"1","key":"666_CR47","doi-asserted-by":"crossref","first-page":"10","DOI":"10.1145\/1656274.1656278","volume":"11","author":"M Hall","year":"2009","unstructured":"Hall M, Frank E, Holmes G, Pfahringer B, Reutemann P, Witten IH (2009) The WEKA data mining software: an update. ACM SIGKDD Explorations Newsletter 11(1):10\u201318","journal-title":"ACM SIGKDD Explorations Newsletter"}],"container-title":["Applied Intelligence"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10489-015-0666-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10489-015-0666-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10489-015-0666-x","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,24]],"date-time":"2019-08-24T17:27:10Z","timestamp":1566667630000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10489-015-0666-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,5,10]]},"references-count":47,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2015,10]]}},"alternative-id":["666"],"URL":"https:\/\/doi.org\/10.1007\/s10489-015-0666-x","relation":{},"ISSN":["0924-669X","1573-7497"],"issn-type":[{"value":"0924-669X","type":"print"},{"value":"1573-7497","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,5,10]]}}}