·1232· 智能系统学报 第14卷 ence on Fuzzy Systems.Brisbane,Australia,2012:1-8. nonresponse in surveys[J].Statistical papers,1990,31(1): [7]AITTOKALLIO T.Dealing with missing values in large- 180. scale studies:microarray data imputation and beyond[J]. [20]SIM J M,KWON O,LEE K C.Adaptive pairing of clas- Briefings in bioinformatics,2010,11(2):253-264. sifier and imputation methods based on the characterist- [8]DE SOUTO MC P,JASKOWIAK P A,COSTA I G.Im- ics of missing values in data sets[J].Expert systems with pact of missing data imputation methods on gene expres- applications,2016,46:485-493. sion clustering and classification[J].BMC bioinformatics, [21]张铃，张钹.M-P神经元模型的几何意义及其应用]， 2015,16:64 软件学报，1998.9(5)：334338. [9]LIU Siyuan,CHEN Lei,NI L M.Anomaly detection from ZHANG Ling,ZHANG Bo.A geometrical representation incomplete data[J].ACM transactions on knowledge dis- of M-P neural model and its applications[J].Journal of covery from data,2014,9(2):11. software,.1998,9(5):334-338. [10]LIU Ji,MUSIALSKI P,WONKA P,et al.Tensor com- [22]张燕平，张铃.机器学习理论与算法M.北京：科学出 pletion for estimating missing values in visual data[J]. 版社.2012：56-66. IEEE transactions on pattern analysis and machine intelli- [23]JORNSTEN R,WANG Huiyu,WELSH W J,et al.DNA gence,2013,35(1):208-220. microarray data imputation and significance analysis of [11]LAKSHMINARAYAN K.HARP S A.SAMAD T.Im- differential expression[J].Bioinformatics,2005,21(22): putation of missing data in industrial databases[J].Ap- 4155-4161. plied intelligence,1999,11(3):259-275. [24]MAZUMDER R,HASTIE T,TIBSHIRANI R.Spectral [12]SONG Qinhao,SHEPPERD M,CHEN Xiangru,et al. regularization algorithms for learning large incomplete Can k-NN imputation improve the performance of C4.5 matrices[J].The journal of machine learning research, with small software project data sets?A comparative 2010,11:2287-2322. evaluation[J].Journal of systems and software,2008. [25]RANJBAR M,MORADI P,AZAMI M,et al.An imputa- 81(12):2361-2370. tion-based matrix factorization method for improving ac- [13]DONDERS A R T,VAN DER HEIJDEN GJ M G. curacy of collaborative filtering systems[J].Engineering STIJNEN T,et al.Review:a gentle introduction to im- putation of missing values[J].Journal of clinical epidemi- applications of artificial intelligence,2015,46:58-66. ology,2006,59101087-1091. 作者简介： [14]TROYANSKAYA O,CANTOR M,SHERLOCK G,et 严远亭，男，1986年生，讲师，博 al.Missing value estimation methods for DNA microar- 士，中国人工智能学会会员，主要研究 rays[J].Bioinformatics,2001,17(6):520-525. 方向为机器学习、粒计算和生物信息 [15]KEERIN P.,KURUTACH W,BOONGOEN T.Cluster- 学。主持国家自然科学基金青年项目 1项，发表学术论文10余篇。 based KNN missing value imputation for DNA microar- ray data[Cl//Proceedings of 2012 IEEE International Con- ference on Systems,Man,and Cybernetics.Seoul,South Korea,2012:445-450. 吴亚亚，男，1995年生，硕士研究 [16]VAN BUUREN S.GROOTHUIS-OUDSHOORN K. 生，中国人工智能学会会员，主要研究 方向为机器学习和不完整数据处理。 Mice:Multivariate imputation by chained equations in R[J].Journal of statistical software,2011,45(3):75765. [17]GEBREGZIABHER M,DESANTIS S M.Latent class based multiple imputation approach for missing categoric- al data[J].Journal of statistical planning and inference, 2010,140(11:3252-3262. 赵蛛，女，1979年生，教授，博士 [18]VERMUNT J K,VAN GINKEL JR,VAN DER ARK L 生导师，博土，中国人工智能学会粒计 算与知识发现专委会委员，安徽省人 A,et al.9.Multiple imputation of incomplete categorical 工智能学会常务理事，主要研究方向 data using latent class analysis[J].Sociological methodo- 为机器学习、粒计算。获得发明专利 1ogy,2008.38(1):369-397. 和软件著作权多项，发表学术论文 [19]TOUTENBURG H.Rubin,D.B.:multiple imputation for 60余篇。ence on Fuzzy Systems. Brisbane, Australia, 2012: 1–8. AITTOKALLIO T. Dealing with missing values in large￾scale studies: microarray data imputation and beyond[J]. Briefings in bioinformatics, 2010, 11(2): 253–264. [7] DE SOUTO M C P, JASKOWIAK P A, COSTA I G. Im￾pact of missing data imputation methods on gene expres￾sion clustering and classification[J]. BMC bioinformatics, 2015, 16: 64. [8] LIU Siyuan, CHEN Lei, NI L M. Anomaly detection from incomplete data[J]. ACM transactions on knowledge dis￾covery from data, 2014, 9(2): 11. [9] LIU Ji, MUSIALSKI P, WONKA P, et al. Tensor com￾pletion for estimating missing values in visual data[J]. IEEE transactions on pattern analysis and machine intelli￾gence, 2013, 35(1): 208–220. [10] LAKSHMINARAYAN K, HARP S A, SAMAD T. Im￾putation of missing data in industrial databases[J]. Ap￾plied intelligence, 1999, 11(3): 259–275. [11] SONG Qinhao, SHEPPERD M, CHEN Xiangru, et al. Can k-NN imputation improve the performance of C4.5 with small software project data sets? A comparative evaluation[J]. Journal of systems and software, 2008, 81(12): 2361–2370. [12] DONDERS A R T, VAN DER HEIJDEN G J M G, STIJNEN T, et al. Review: a gentle introduction to im￾putation of missing values[J]. Journal of clinical epidemi￾ology, 2006, 59(10): 1087–1091. [13] TROYANSKAYA O, CANTOR M, SHERLOCK G, et al. Missing value estimation methods for DNA microar￾rays[J]. Bioinformatics, 2001, 17(6): 520–525. [14] KEERIN P, KURUTACH W, BOONGOEN T. Cluster￾based KNN missing value imputation for DNA microar￾ray data[C]//Proceedings of 2012 IEEE International Con￾ference on Systems, Man, and Cybernetics. Seoul, South Korea, 2012: 445-450. [15] VAN BUUREN S, GROOTHUIS-OUDSHOORN K. Mice: Multivariate imputation by chained equations in R[J]. Journal of statistical software, 2011, 45(3): 75765. [16] GEBREGZIABHER M, DESANTIS S M. Latent class based multiple imputation approach for missing categoric￾al data[J]. Journal of statistical planning and inference, 2010, 140(11): 3252–3262. [17] VERMUNT J K, VAN GINKEL J R, VAN DER ARK L A, et al. 9. Multiple imputation of incomplete categorical data using latent class analysis[J]. Sociological methodo￾logy, 2008, 38(1): 369–397. [18] [19] TOUTENBURG H. Rubin, D.B.: multiple imputation for nonresponse in surveys[J]. Statistical papers, 1990, 31(1): 180. SIM J M, KWON O, LEE K C. Adaptive pairing of clas￾sifier and imputation methods based on the characterist￾ics of missing values in data sets[J]. Expert systems with applications, 2016, 46: 485–493. [20] 张铃, 张钹. M-P 神经元模型的几何意义及其应用 [J]. 软件学报, 1998, 9(5): 334–338. ZHANG Ling, ZHANG Bo. A geometrical representation of M-P neural model and its applications[J]. Journal of software, 1998, 9(5): 334–338. [21] 张燕平, 张铃. 机器学习理论与算法 [M]. 北京: 科学出 版社, 2012: 56–66. [22] JÖRNSTEN R, WANG Huiyu, WELSH W J, et al. DNA microarray data imputation and significance analysis of differential expression[J]. Bioinformatics, 2005, 21(22): 4155–4161. [23] MAZUMDER R, HASTIE T, TIBSHIRANI R. Spectral regularization algorithms for learning large incomplete matrices[J]. The journal of machine learning research, 2010, 11: 2287–2322. [24] RANJBAR M, MORADI P, AZAMI M, et al. An imputa￾tion-based matrix factorization method for improving ac￾curacy of collaborative filtering systems[J]. Engineering applications of artificial intelligence, 2015, 46: 58–66. [25] 作者简介： 严远亭，男，1986 年生，讲师，博 士，中国人工智能学会会员，主要研究 方向为机器学习、粒计算和生物信息 学。主持国家自然科学基金青年项目 1 项，发表学术论文 10 余篇。 吴亚亚，男，1995 年生，硕士研究 生，中国人工智能学会会员，主要研究 方向为机器学习和不完整数据处理。 赵姝，女，1979 年生，教授，博士 生导师，博士，中国人工智能学会粒计 算与知识发现专委会委员，安徽省人 工智能学会常务理事，主要研究方向 为机器学习、粒计算。获得发明专利 和软件著作权多项，发表学术论文 60 余篇。 ·1232· 智 能 系 统 学 报 第 14 卷