Regularized least squares support vector regression for the simultaneous learning of a function and its derivatives

被引:27
|
作者
Jayadeva [2 ]
Khemchandani, Reshma [1 ]
Chandra, Suresh [1 ]
机构
[1] Indian Inst Technol, Dept Math, New Delhi 110016, India
[2] Inst Area Vasant Kunj, IBM India Res Lab, New Delhi 110070, India
关键词
support vector machines; regularized least squares; machine learning; function approximation;
D O I
10.1016/j.ins.2008.04.007
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
in this paper, we propose a regularized least squares approach based support vector machine for simultaneously approximating a function and its derivatives. The proposed algorithm is simple and fast as no quadratic programming solver needs to be employed. Effectively, only the solution of a structured system of linear equations is needed. (c) 2008 Published by Elsevier Inc.
引用
收藏
页码:3402 / 3414
页数:13
相关论文
共 50 条
  • [41] A sparse method for least squares twin support vector regression
    Huang, Huajuan
    Wei, Xiuxi
    Zhou, Yongquan
    NEUROCOMPUTING, 2016, 211 : 150 - 158
  • [42] Least squares Support Vector Machine regression for discriminant analysis
    Van Gestel, T
    Suykens, JAK
    De Brabanter, J
    De Moor, B
    Vandewalle, J
    IJCNN'01: INTERNATIONAL JOINT CONFERENCE ON NEURAL NETWORKS, VOLS 1-4, PROCEEDINGS, 2001, : 2445 - 2450
  • [43] An improved support vector regression using least squares method
    Cheng Yan
    Xiuli Shen
    Fushui Guo
    Structural and Multidisciplinary Optimization, 2018, 57 : 2431 - 2445
  • [44] An improved support vector regression using least squares method
    Yan, Cheng
    Shen, Xiuli
    Guo, Fushui
    STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2018, 57 (06) : 2431 - 2445
  • [45] Regularized least-squares regression: Learning from a β-mixing sequence
    Farahmand, Amir-Massoud
    Szepesvari, Csaba
    JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2012, 142 (02) : 493 - 505
  • [46] Optimal learning rates for least squares regularized regression with unbounded sampling
    Wang, Cheng
    Zhou, Ding-Xuan
    JOURNAL OF COMPLEXITY, 2011, 27 (01) : 55 - 67
  • [47] Efficient Sparse Least Squares Support Vector Machines for Regression
    Si Gangquan
    Shi Jianquan
    Guo Zhang
    Zhao Weili
    2014 33RD CHINESE CONTROL CONFERENCE (CCC), 2014, : 5173 - 5178
  • [48] Least squares support vector machine regression with boundary condition
    Yan, WW
    Zhang, MG
    Zhang, CK
    Shao, HH
    PROCEEDINGS OF 2003 INTERNATIONAL CONFERENCE ON NEURAL NETWORKS & SIGNAL PROCESSING, PROCEEDINGS, VOLS 1 AND 2, 2003, : 79 - 81
  • [49] Extended least squares support vector machines for ordinal regression
    Na Zhang
    Neural Computing and Applications, 2016, 27 : 1497 - 1509
  • [50] Least Squares Support Vector Machine Regression with Equality Constraints
    Liu, Kun
    Sun, Bing-Yu
    INTERNATIONAL CONFERENCE ON APPLIED PHYSICS AND INDUSTRIAL ENGINEERING 2012, PT C, 2012, 24 : 2227 - 2230