Introduction

  • Linear models (LMs) provide a simple, yet effective, approach to predictive modeling.

  • However, in today’s world, data sets being analyzed typically contain a large number of features.

  • As the number of features grow, certain assumptions typically break down and these models tend to overfit the training data, causing our out of sample error to increase.

  • Regularization methods provide a means to constrain or regularize the estimated coefficients, which can reduce the variance and decrease out of sample error.