Split transfer hierarchical clustering algorithm for functional data

MENG Yinfeng1, YANG Jiayu1, CAO Fuyuan2

1. 1. School of Mathematical Sciences, Shanxi University, Taiyuan 030006, Shanxi, China;
2. School of Computer and Information Technology, Shanxi University, Taiyuan 030006, Shanxi, China
• Published:2022-02-21

CLC Number:

• TP181
 [1] WARD J H. Hierarchical groupings to optimize an objective function[J]. Journal of the American Statistical Association, 1963, 58: 236-244.[2] BALL G H, HALL D J. A clustering technique for summarizing multivariate data[J]. Behavioral Science, 1967, 12: 153-155.[3] ABRAHAM C, CORNILLON P A, MATZNER-LØBER E, et al. Unsupervised curve clustering using B-splines[J]. Scandinavian Journal of Statistics, 2003, 30: 581-595.[4] ANTONIADIS A, BROSSAT X, CUGLIARI J, et al. Clustering functional data using wavelets[J]. International Journal of Wavelets, Multiresolution and Information Processing, 2013, 11(1): 1350003-1350030.[5] JAMES G, SUGAR C. Clustering for sparsely sampled functional data[J]. Journal of the American Statistical Association, 2003, 98: 397-408.[6] GIACOFCI M, LAMBERT L S, MAROT G, et al. Wavelet-based clustering for mixed-effects functional models in high dimension[J]. Biometrics, 2013, 69: 31-40.[7] FRANCESCA I, ANNA M P, DAVIDE P, et al. Multivariate functional clustering for the morphological analysis of electrocardiograph curves[J]. Journal of the Royal Statistical Society: Series C(Applied Statistics), 2013, 62(3): 401-418.[8] CHIOU J M, LI P L. Functional clustering and identifying substructures of longitudinal data[J]. Journal of the Royal Statistical Society Series B, 2007, 69: 679-699.[9] LIM Y, OH H S, CHEUNG Y K. Multiscale clustering for functional data[J]. Journal of Classification, 2019, 36: 368-391.[10] BENSMAIL H, ARUNA B, SEMMES O J, et al. Functional clustering algorithm for high-dimensional proteomics data[J]. Journal of Biomedicine and Biotechnology, 2005, 2: 80-86.[11] MORRIS J S, BROWN P J, COOMBES K R. Statistical contributions to proteomic research[J]. Methods in Molecular Biology, 2010, 641: 143-166.[12] 孟银凤,梁吉业.线性正则化函数Logistic模型[J].计算机研究与发展,2020, 57(8): 1617-1626. MENG Yinfeng, LIANG Jiye. Linear regularized functional logistic model[J]. Journal of Computer Research and Development, 2020, 57(8): 1617-1626.[13] MENG Yinfeng, LIANG Jiye, QIAN Yuhua. Comparison study of orthonormal representations of functional data in classification[J]. Knowledge-Based Systems, 2016, 97: 224-236.[14] RAMSAY J O, SILVERMAN B W. Functional data analysis [M]. Berlin, Germany: Springer, 2005.[15] HUBERT L, ARABIE P. Comparing partitions[J]. Journal of Classification, 1985, 2: 193-218.[16] RAY S, MALLICK B. Functional clustering by Bayesian wavelet methods[J]. Journal of the Royal Statistical Society(Series B), 2006, 68: 305-332.[17] CATTELL R B. The scree test for the number of factors[J]. Multivariate Behavioral Research, 1966, 1(2): 245-276.[18] HASTIE T, BUJA A, TIBSHIRANI R. Penalized discriminant analysis[J]. The Annals of Statistics, 1995, 23(1): 73-102.
 [1] Yan PENG,Tingting FENG,Jie WANG. An integrated learning approach for O3 mass concentration prediction model [J]. Journal of Shandong University(Engineering Science), 2020, 50(4): 1-7. [2] Yibin WANG,Tianli LI,Yusheng CHENG,Kun QIAN. Label distribution learning based on kernel extreme learning machine auto-encoder [J]. Journal of Shandong University(Engineering Science), 2020, 50(3): 58-65. [3] Chunyang LI,Nan LI,Tao FENG,Zhuhe WANG,Jingkai MA. Abnormal sound detection of washing machines based on deep learning [J]. Journal of Shandong University(Engineering Science), 2020, 50(2): 108-117. [4] Yingda LI,Zongxia XIE. Support vector regression algorithm based on kernel similarity reduced strategy [J]. Journal of Shandong University(Engineering Science), 2019, 49(3): 8-14. [5] Kuo PANG,Siqi CHEN,Xiaoying SONG,Li ZOU. Linguistic concept formal decision context analysis based on granular computing [J]. Journal of Shandong University(Engineering Science), 2018, 48(6): 74-81. [6] HE Zhengyi, ZENG Xianhua, GUO Jiang. An ensemble method with convolutional neural network and deep belief network for gait recognition and simulation [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2018, 48(3): 88-95. [7] WANG Tingting, ZHAI Junhai, ZHANG Mingyang, HAO Pu. K-NN algorithm for big data based on HBase and SimHash [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2018, 48(3): 54-59. [8] CUI Xiaosong, WANG Ying, MENG Jia, ZOU Li. Online business self-evaluation system based on linguistic-valued similarity reasoning [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2018, 48(1): 1-7. [9] YAO Yu, FENG Jian, ZHANG Huaguang, HAN Kezhen. Weighted hyper-ellipsoidal support vector data description with negative samples for outlier detection [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2017, 47(5): 195-202. [10] LI Sushu, WANG Shitong, LI Tao. A feature selection method based on LS-SVM and fuzzy supplementary criterion [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2017, 47(3): 34-42. [11] LIU Yingxia, WANG Xichang, TANG Xiaoli, CHANG Faliang. Object detection algorithm based on Bayesian probability estimation in wavelet domain [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2017, 47(2): 63-70. [12] HE Zhengyi, ZENG Xianhua, QU Shengwei, WU Zhilong. The time series prediction model based on integrated deep learning [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2016, 46(6): 40-47. [13] CHEN Zehua, SHANG Xiaohui, CHAI Jing. Neighborhood related multiple-instance classifiers based on integrated Hausdorff distance [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2016, 46(6): 15-22. [14] WANG Zhiqiang, WEN Yimin, LI Fang. Collaborative recommendation for scenic spots based on multi-aspect ratings [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2016, 46(6): 54-61. [15] WANG Mei, ZENG Zhaohu, SUN Yingqi, YANG Erlong, SONG Kaoping. Bayesian combination of SVR on regularization path based on KNN of input [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2016, 46(6): 8-14.
Viewed
Full text

Abstract

Cited

Shared
Discussed