By Severin Schirmer

This project aimed to solve a regression problem using linear regression including OLS, Ridge, and Lasso.

• code - All code related to the project and the terrain data
  • assessment. - Functions used for model assessment including bootstrap and cross validation across all files
  • Franke_test - Implementation of the selected models on a test set from Franke's function
  • Comparison_lasso_ridge - Plots comparison of ridge and lasso for different lambda values
  • Lasso_Franke - Model selection for Lasso on Franke's, including seperate function for cross validation for Lasso
  • OLS_Franke - Simple introductory analysis of OLS on Franke's
  • OLS_Franke_bootstrap - Bias-variance analysis of OLS on Franke's used in model selection
  • OLS_Franke_crossvalidation - 5 fold cross validation analysis used in model selectionon Franke's
  • Ridge_Franke - Cross validation used for model selection on Franke's
  • Ridge_terrain - Bootstrap and cross validation of Ridge on terrain data for single lambda values
  • setup- Setup files including implementation of design matrix, producing synthetic Franke data, and MSE and R2 functions
  • SRTM_data_Norway_1 - Terrain data used in project
  • terrain_analysis - Model selection and final test for OLS, Ridge, and Lasso on the terrain data
  • terrain_analysis_tools- Model selection functions based on terrain data for OLS, Ridge and Lasso
  • terrain_setup - Import of data with splitting into train, validation and test set, and plotting of terrain.
• report - The report
• resources - All figures produced by code including some that are not in the report.