Applications of Clifford support vector machines and Clifford moments for classification

被引:0
|
作者
Bayro-Corrochano, E [1 ]
Arana-Daniel, N [1 ]
Vallejo-Gutierrez, R [1 ]
机构
[1] Ctr Invest & Estudios Avanzados, Dept Comp Sci, GEOVIS Lab, Guadalajara 44550, Jalisco, Mexico
关键词
D O I
暂无
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This paper introduces the Clifford Support Vector Machines as a generalization of the real- and complex- valued Support Vector Machines using the Clifford geometric algebra. In this framework we handle the design of kernels involving the Clifford or geometric product for linear and nonlinear classification. We present an interesting application to classify mechanical tools using the concept of Clifford moments which is invariant under affine transformations.
引用
收藏
页码:3003 / 3008
页数:6
相关论文
共 50 条
  • [1] Clifford support vector machines for classification
    Bayro-Corrochano, E
    Arana-Daniel, N
    Vallejo-Gutiérres, JR
    [J]. ARTIFICIAL INTELLIGENCE AND SOFT COMPUTING - ICAISC 2004, 2004, 3070 : 9 - 16
  • [2] Clifford Fuzzy Support Vector Machines for Classification
    Wang, Rui
    Zhang, Xiaoyan
    Cao, Wenming
    [J]. ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2016, 26 (02) : 825 - 846
  • [3] Clifford Fuzzy Support Vector Machines for Classification
    Rui Wang
    Xiaoyan Zhang
    Wenming Cao
    [J]. Advances in Applied Clifford Algebras, 2016, 26 : 825 - 846
  • [4] Theory and applications of Clifford Support Vector Machines
    Bayro-Corrochano, Eduardo
    Arana-Daniel, Nancy
    [J]. JOURNAL OF MATHEMATICAL IMAGING AND VISION, 2007, 28 (01) : 29 - 46
  • [5] Theory and Applications of Clifford Support Vector Machines
    Eduardo Bayro-Corrochano
    Nancy Arana-Daniel
    [J]. Journal of Mathematical Imaging and Vision, 2007, 28 : 29 - 46
  • [6] Clifford Support Vector Machines for Classification, Regression, and Recurrence
    Bayro-Corrochano, Eduardo Jose
    Arana-Daniel, Nancy
    [J]. IEEE TRANSACTIONS ON NEURAL NETWORKS, 2010, 21 (11): : 1731 - 1746
  • [7] Parallel Clifford Support Vector Machines Using the Gaussian Kernel
    Lopez-Gonzalez, Gehova
    Arana-Daniel, Nancy
    Bayro-Corrochano, Eduardo
    [J]. ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2017, 27 (01) : 647 - 660
  • [8] Recurrent Clifford Support Machines
    Bayro-Corrochano, Eduardo
    Refugio Vallejo-Gutierrez, J.
    Arana-Daniel, Nancy
    [J]. 2008 IEEE INTERNATIONAL JOINT CONFERENCE ON NEURAL NETWORKS, VOLS 1-8, 2008, : 3613 - +
  • [9] Parallel Clifford Support Vector Machines Using the Gaussian Kernel
    Gehová López-González
    Nancy Arana-Daniel
    Eduardo Bayro-Corrochano
    [J]. Advances in Applied Clifford Algebras, 2017, 27 : 647 - 660
  • [10] Support Vector Machine Skin Lesion Classification in Clifford Algebra Subspaces
    Akar, Mutlu
    Sirakov, Nikolay Metodiev
    [J]. APPLICATIONS OF MATHEMATICS, 2019, 64 (05) : 581 - 598