English

Investigation of robustness and numerical stability of multiple regression and PCA in modeling world development data

Methodology 2022-11-15 v1 Applications Computation

Abstract

Popular methods for modeling data both labelled and unlabeled, multiple regression and PCA has been used in research for a vast number of datasets. In this investigation, we attempt to push the limits of these two methods by running a fit on world development data, a set notorious for its complexity and high dimensionality. We assess the robustness and numerical stability of both methods using their matrix condition number and ability to capture variance in the dataset. The result indicates poor performance from both methods from a numerical standpoint, yet certain qualitative insights can still be captured.

Keywords

Cite

@article{arxiv.2208.01549,
  title  = {Investigation of robustness and numerical stability of multiple regression and PCA in modeling world development data},
  author = {Chen Ye Gan},
  journal= {arXiv preprint arXiv:2208.01549},
  year   = {2022}
}

Comments

8 pages, 4 figures, high-dimensional data analysis, world development data, conference, publishing by IEEE, indexed by EI compendex