Approximate LDA Technique for Dimensionality Reduction in the Small Sample Size Case

被引:11
|
作者
Paliwal, Kuldip K. [1 ]
Sharma, Alok [2 ,3 ,4 ]
机构
[1] Griffith Univ, Sch Engn, Brisbane, Qld, Australia
[2] Univ Tokyo, Tokyo, Japan
[3] Griffith Univ, Signal Proc Lab, Brisbane, Qld, Australia
[4] Univ South Pacific, Suva, Fiji
来源
关键词
Approximate linear discriminant analysis (ALDA); dimensionality reduction; small sample size problem; classification accuracy; regularized LDA;
D O I
10.13176/11.370
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The regularized linear discriminant analysis (LDA) technique overcomes the small sample size (SSS) problem by adding a regularization parameter to the eigenvalues of within-class scatter matrix. However, it has some drawbacks. In this paper we address its drawbacks and propose an improvement. The proposed technique is experimented on several datasets and promising results have been obtained.
引用
收藏
页码:298 / 306
页数:9
相关论文
共 50 条
  • [41] On Approximate Optimality of the Sample Size for the Partition Problem
    Solanky, Tumulesh K. S.
    Wu, Yuefeng
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2009, 38 (16-17) : 3148 - 3157
  • [42] Factor-analytic Inverse Regression for High-dimension, Small-sample Dimensionality Reduction
    Jha, Aditi
    Morais, Michael J.
    Pillow, Jonathan W.
    INTERNATIONAL CONFERENCE ON MACHINE LEARNING, VOL 139, 2021, 139
  • [43] Supervised dimensionality reduction for exploration of single-cell data by HSS-LDA
    Amouzgar, Meelad
    Glass, David R.
    Baskar, Reema
    Averbukh, Inna
    Kimmey, Samuel C.
    Tsai, Albert G.
    Hartmann, Felix J.
    Bendall, Sean C.
    PATTERNS, 2022, 3 (08):
  • [44] SPD Data Dimensionality Reduction based on SPD Manifold Tangent Space and Local LDA
    Yuan, Xuejing
    Huang, Xiao
    Ma, Zhengming
    5TH INTERNATIONAL CONFERENCE ON ALGORITHMS, COMPUTING AND SYSTEMS, ICACS 2021, 2021, : 68 - 73
  • [45] A dimensionality reduction technique for unconstrained global optimization of functions with low effective dimensionality
    Cartis, Coralia
    Otemissov, Adilet
    INFORMATION AND INFERENCE-A JOURNAL OF THE IMA, 2022, 11 (01) : 167 - 201
  • [46] EFFECTS OF CONCENTRATION OF PARTIAL SEEDING AND DATA SAMPLE SIZE IN LDA MEASUREMENTS
    Han, Yu
    Zhang, Xin
    Yang, Shu-Qing
    Dharmasiri, Nadeesha
    Hong, Woo Taek
    PROCEEDINGS OF THE 36TH IAHR WORLD CONGRESS: DELTAS OF THE FUTURE AND WHAT HAPPENS UPSTREAM, 2015, : 3059 - 3066
  • [47] EFFECTS OF CONCENTRATION OF PARTIAL SEEDING AND DATA SAMPLE SIZE IN LDA MEASUREMENTS
    Han, Yu
    Zhang, Xin
    Yang, Shu-Qing
    Dharmasiri, Nadeesha
    Hong, Woo Taek
    PROCEEDINGS OF THE 36TH IAHR WORLD CONGRESS: DELTAS OF THE FUTURE AND WHAT HAPPENS UPSTREAM, 2015, : 3140 - 3148
  • [48] Robustness is not dimensionality: On the sensitivity of component comparability coefficients to sample size
    Lanning, K
    MULTIVARIATE BEHAVIORAL RESEARCH, 1996, 31 (01) : 33 - 46
  • [49] Effective sample size, dimensionality, and generalization in covariate shift adaptation
    Polo, Felipe Maia
    Vicente, Renato
    NEURAL COMPUTING & APPLICATIONS, 2023, 35 (25): : 18187 - 18199
  • [50] Effective sample size, dimensionality, and generalization in covariate shift adaptation
    Felipe Maia Polo
    Renato Vicente
    Neural Computing and Applications, 2023, 35 : 18187 - 18199