7 High-dimensional regression

Regression with many predictor variables can suffer from a statistical version of the curse of dimensionality. Penalized regression methods like ridge and lasso are useful in such high-dimensional settings.

Joshua Loftus
10-05-2021

Materials

Link Type Description
html pdf Slides Ridge and lasso regression
html Rmd Notebook Lasso estimation
html Rmd Notebook Lasso inference

To be updated

Preparation

Required reading

Supplemental reading

Regularization

Validation

Slides, notebooks, exercises

Slides for regularization video (PDF)

Slides for lasso video (PDF)

Notebook for validation

Notebook for lasso

Reuse

Text and figures are licensed under Creative Commons Attribution CC BY 4.0. The figures that have been reused from other sources don't fall under this license and can be recognized by a note in their caption: "Figure from ...".

Citation

For attribution, please cite this work as

Loftus (2021, Oct. 5). machine learning 4 data science: 7 High-dimensional regression. Retrieved from http://ml4ds.com/weeks/07-highdim/

BibTeX citation

@misc{loftus20217,
  author = {Loftus, Joshua},
  title = {machine learning 4 data science: 7 High-dimensional regression},
  url = {http://ml4ds.com/weeks/07-highdim/},
  year = {2021}
}