Journal of Shandong University(Engineering Science) ›› 2021, Vol. 51 ›› Issue (1): 108-113.doi: 10.6040/j.issn.1672-3961.0.2020.248

Previous Articles     Next Articles

Multi-kernel combination method based on rank spatial difference

WANG Mei, XUE Chenglong, ZHANG Qiang   

  1. School of Computer and Information Technology, Northeast Petroleum University, Daqing 163318, Heilongjiang, China
  • Online:2021-02-20 Published:2021-03-01

Abstract: A multi-kernel combination method based on rank spatial difference was proposed in this paper. samples were grouped according to characteristics, different kernel functions are used to train the grouped data, and the parameters of the kernel function are optimized by grid search method. Two kernel functions were selected from the alternative kernel functions, and the data divided into two groups were respectively put into the corresponding kernel function for mapping. Then the rank spatial difference of the data after the kernel function mapping was judged to provide reference for the selection of the basic kernel function. The wine data set, the breast cancer data set and the wine quality data set were selected for the experiment to verify that when the data were mapped by the selected basic kernel function, the greater the rank space difference was, the higher the classification accuracy was. The experimental results showed that the method was feasible for the selection and combination of basic kernel functions.

Key words: multi-kernel learning, rank spatial difference, multi-kernel combination, grid search

CLC Number: 

  • TP391
[1] 王文剑,田萌.核选择研究进展[J].山西大学学报(自然科学版),2017,40(3):460-471. WANG Wenjian, TIAN Meng. Advances in kernel selection research[J]. Journal of Shanxi University(Natural Science Edition), 2017, 40(3):460-471.
[2] SMOLA A J, SCHOLKOPF B. A tutorial on support vector regression[J]. Statistics and Computing, 2004, 14(3): 199-222.
[3] BURGES C J C. A tutorial on support vector machines for pattern recognition[J]. Data Mining and Knowledge Discovery, 1998, 2(2): 121-167.
[4] KERM P V. Adaptive kernel density estimation[J]. Stata Journal, 2003, 3(2): 148-156.
[5] 李阳. 多核学习SVM算法研究及肺结节识别[D].长春:吉林大学,2014. LI Yang. Multiple kernel learning SVM and lung nodule recognition[D]. Changchun: Jilin University, 2014.
[6] SONNENBURG S, RATSCH G, SCHAFER C, et al. Large scale multiple kernel learning[J]. The Journal of Machine Learning Research, 2006, 7(7): 1531-1565.
[7] BACH F R. Consistency of the group Lasso and multiple kernel learning[J]. The Journal of Machine Learning Research, 2008, 9(6): 1179-1225.
[8] RAKOTOMAMONJY A, BACH F R, CANU S, et al. More efficiency in multiple kernel learning[C] //Proceedings of the 24th International Conference on Machine Learning. Corvalis, USA: ACM, 2007: 775-782.
[9] CORTES C, MOHRI M, ROSTAMIZADEH A. Learning sequence kernels[C] //Proceedings of the International Conference on Machine Learning for Signal Processing. Washington D. C., USA: IEEE, 2008:2-8.
[10] YANG Z, GUO J, XU W, et al. Multi-scale support vector machine for regression estimation[C] //Proceed-ings of the 3rd International Symposium on Neural Networks. Chengdu, China: Springer, 2006: 1030-1037.
[11] SONNENBURG S, RATSCH G, SCHAFER C. A general and efficient multiple kernel learning algorithm[C] //Proceedings of the Advances in Neural Infor-mation Processing Systems. Vancouver, Canada: The MIT Press, 2005:1273-1280.
[12] ZIEN A, ONG C S. Multiclass multiple kernel learning[C] //Proceedings of the 24th International Conference on Machine Learning. New York, USA: ACM, 2007: 1191-1198.
[13] LIU Yong, LIAO Shizhong, LIN Hailun, et al. Infinite kernel learning: generalization bounds and algorithms[C] //Proceedings of the 31st AAAI Conference on Artificial Intelligence. San Francisco, USA, 2017: 2280-2286.
[14] LANCKRIET G R G, CRISTIANINI N, BARTLETT P, et al. Learning the kernel matrix with semidefinite programming[J]. The Journal of Machine Learning Research, 2004, 5(1): 27-72.
[15] LEE W J, VERZAKOV S, DUIN R P. Kernel com-bination versus classifier combination[C] // Proceedings of the 7th International Workshop on Multiple Classifier Systems. Prague,Czech Republic: Springer, 2007:22-31.
[16] 王梅,李董,孙莺萁,等.求解大规模问题的多核学习正则化路径算法[J].模式识别与人工智能,2018,31(2):190-196. WANG Mei, LI Dong, SUN Yingqi, et al. Regularization path algorithm of multiple kernel learning for solving large scale problems[J].Pattern Recognition and Artificial Intelligence, 2018, 31(2):190-196.
[17] 汪洪桥,孙富春,蔡艳宁,等.多核学习方法[J].自动化学报,2010,36(8):1037-1050. WANG Hongqiao, SUN Fuchun, CAI Yanning, et al. On multiple kernel learning methods[J]. Acta Automatica Sinica, 2010, 36(8):1037-1050.
[18] BENNETT K P, MOMMA M, EMBRECHTS M J. MARK: a boosting algorithm for heterogeneous kernel models[C] //Proceedings of 8th ACM-SIGKDD International Conference on Knowledge Discovery and Data Mining. Edmonton,Canada: ACM, 2002: 24-31.
[19] ONG C S, SMOLA A J, WILLIAMSON R C. Learning the kernel with hyperkernels[J]. The Journal of Machine Learning Research, 2005, 6(7): 1043-1071.
[20] RAKOTOMAMONJY A, BACH F R, CANU S, et al. Simple MKL[J]. The Journal of Machine Learning Research, 2008, 9(11): 2491-2521.
[21] 刘文婧,陈肖洁.多核LSSVM算法在轴承故障识别中的应用[J].机械设计与制造,2018(2):249-252. LI Wenjing, CHEN Xiaojie. Fault identification app-lication of rolling bearing based on LSSVM with multiple kernels[J]. Machinery Design & Manufacture, 2018(2):249-252.
[22] 王庆超,付光远,汪洪桥,等.基于局部空间变稀疏约束的多核学习方法[J].电子学报,2018,46(4):930-937. WANG Qingchao, FU Guangyuan, WANG Hongqiao, et al. Local variable sparsity based multiple kernel learning algorithm[J]. Acta Electronica Sinica, 2018, 46(4): 930-937.
[23] 陶剑文,王士同.多核局部领域适应学习[J].软件学报,2012,23(9):2297-2310. TAO Jianwen, WANG Shitong. Multiple kernel local learning-based domain adaptation[J]. Journal of Soft-ware, 2012, 23(9):2297-2310.
[24] 李飞,杜亮,任超宏.基于全局融合的多核概念分解算法[J].计算机应用,2019,39(4):1021-1026. LI Fei, DU Liang, REN Chaohong. Multiple kernel concept factorization algorithm based on global fusion[J]. Journal of Computer Applications, 2019, 39(4):1021-1026.
[25] 张庆朔,何强,张长伦,等.模糊多核一类支持向量机[J].北京建筑大学学报,2020,36(1):82-90. ZHANG Qingshuo, HE Qiang, ZHANG Changlun, et al. Fuzzy multiple kernel one-class support vector machine[J]. Journal of Beijing University of Civil Engineering and Architecture, 2020, 36(1):82-90.
[26] 罗林开. 支持向量机的核选择[D].厦门:厦门大学,2007. LUO Linkai. Research on Kernel Selection of Support Vector Machine[D]. Xiamen: Xiamen University, 2007.
[1] DENG Bin, ZHANG Zongbao, ZHAO Wenmeng, LUO Xinhang, WU Qiuwei. Cloud-edge collaborative and graph neural network based load forecasting method for electric vehicle charging stations [J]. Journal of Shandong University(Engineering Science), 2025, 55(5): 62-69.
[2] LI Erchao, ZHANG Zhizhao. Online dynamic demand vehicle routing planning [J]. Journal of Shandong University(Engineering Science), 2024, 54(5): 62-73.
[3] YANG Jucheng, WEI Feng, LIN Liang, JIA Qingxiang, LIU Jianzheng. A research survey of driver drowsiness driving detection [J]. Journal of Shandong University(Engineering Science), 2024, 54(2): 1-12.
[4] XIAO Wei, ZHENG Gengsheng, CHEN Yujia. Named entity recognition method combined with self-training model [J]. Journal of Shandong University(Engineering Science), 2024, 54(2): 96-102.
[5] Gang HU, Lemeng WANG, Zhiyu LU, Qin WANG, Xiang XU. Importance identification method based on multi-order neighborhood hierarchical association contribution of nodes [J]. Journal of Shandong University(Engineering Science), 2024, 54(1): 1-10.
[6] Jiachun LI,Bowen LI,Jianbo CHANG. An efficient and lightweight RGB frame-level face anti-spoofing model [J]. Journal of Shandong University(Engineering Science), 2023, 53(6): 1-7.
[7] Yujiang FAN,Huanhuan HUANG,Jiaxiong DING,Kai LIAO,Binshan YU. Resilience evaluation system of the old community based on cloud model [J]. Journal of Shandong University(Engineering Science), 2023, 53(5): 1-9, 19.
[8] Ying LI,Jiankun WANG. The classification of mild cognitive impairment based on supervised graph regularization and information fusion [J]. Journal of Shandong University(Engineering Science), 2023, 53(4): 65-73.
[9] YU Mingjun, DIAO Hongjun, LING Xinghong. Online multi-object tracking method based on trajectory mask [J]. Journal of Shandong University(Engineering Science), 2023, 53(2): 61-69.
[10] LIU Xing, YANG Lu, HAO Fanchang. Finger vein image retrieval based on multi-feature fusion [J]. Journal of Shandong University(Engineering Science), 2023, 53(2): 118-126.
[11] LIU Fangxu, WANG Jian, WEI Benzheng. Auxiliary diagnosis algorithm for pediatric pneumonia based on multi-spatial attention [J]. Journal of Shandong University(Engineering Science), 2023, 53(2): 135-142.
[12] YU Yixuan, YANG Geng, GENG Hua. Multimodal hierarchical keyframe extraction method for continuous combined motion [J]. Journal of Shandong University(Engineering Science), 2023, 53(2): 42-50.
[13] HUANG Huajuan, CHENG Qian, WEI Xiuxi, YU Chuchu. Adaptive crow search algorithm with Jaya algorithm and Gaussian mutation [J]. Journal of Shandong University(Engineering Science), 2023, 53(2): 11-22.
[14] ZHANG Hao, LI Ziling, LIU Tong, ZHANG Dawei, TAO Jianhua. A technology prediction model based on fuzzy Bayesian networks with sociological factors [J]. Journal of Shandong University(Engineering Science), 2023, 53(2): 23-33.
[15] WU Yanli, LIU Shuwei, HE Dongxiao, WANG Xiaobao, JIN Di. Poisson-gamma topic model of describing multiple underlying relationships [J]. Journal of Shandong University(Engineering Science), 2023, 53(2): 51-60.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
[1] ZHANG Yong-hua,WANG An-ling,LIU Fu-ping . The reflected phase angle of low frequent inhomogeneous[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2006, 36(2): 22 -25 .
[2] KONG Xiang-zhen,LIU Yan-jun,WANG Yong,ZHAO Xiu-hua . Compensation and simulation for the deadband of the pneumatic proportional valve[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2006, 36(1): 99 -102 .
[3] LAI Xiang . The global domain of attraction for a kind of MKdV equations[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2006, 36(1): 87 -92 .
[4] YU Jia yuan1, TIAN Jin ting1, ZHU Qiang zhong2. Computational intelligence and its application in psychology[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2009, 39(1): 1 -5 .
[5] LI Liang, LUO Qiming, CHEN Enhong. Graph-based ranking model for object-level search
[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2009, 39(1): 15 -21 .
[6] CHEN Rui, LI Hongwei, TIAN Jing. The relationship between the number of magnetic poles and the bearing capacity of radial magnetic bearing[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2018, 48(2): 81 -85 .
[7] JI Tao,GAO Xu/sup>,SUN Tong-jing,XUE Yong-duan/sup>,XU Bing-yin/sup> . Characteristic analysis of fault generated traveling waves in 10 Kv automatic blocking and continuous power transmission lines[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2006, 36(2): 111 -116 .
[8] QIN Tong, SUN Fengrong*, WANG Limei, WANG Qinghao, LI Xincai. 3D surface reconstruction using the shape based interpolation guided by maximal discs[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2010, 40(3): 1 -5 .
[9] WANG Jing,LI Yu-jiang,ZHANG Xiao-jin,BI Yan-jun,CHEN Wei-suo . [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2006, 36(6): 100 -103 .
[10] SUN Dianzhu, ZHU Changzhi, LI Yanrui. [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2009, 39(1): 84 -86 .