These are the codes for generating the numerical results of the manuscript (link added here later) These numerical results measure the performace of three different methods for solving bilevel (learning) problems some practical information There are two main files 'main_MRI_brain.m' and 'main_deblurring_PD128.m' for two experiments, MRI and deblurring. Running both main files may take **several hours**. Original digital MRI phantoms used as data can be downloaded from https://zenodo.org/records/1190598 and image used as deblurring target from https://r0k.us/graphics/kodak/. The code files of the project are devided in folders mri, deblur and reg, which has files that both main files uses. Convergence data is saved into .txt files in the folders results/mri and results/deblur. All of the images are saved into folder images. Most of the code is written with Matlab but there are also few C-files to make the code more efficient. The main files have lines mex reg/fast_grad.c mex reg/fast_dx.c mex reg/fast_dy.c mex reg/fast_grad_transpose.c and mex reg/fast_grad.c mex reg/fast_dx.c mex reg/fast_dy.c mex reg/fast_div.c that creates mex files from the C-files.