Τhis repository contains the code for reproducing the results presented in the paper titled Stochastic Rounding Implicitly Regularizes Tall-and-Thin Matrices. The purpose is to generate tall-and-thin matrices while controling specific properties discussed in Section 5 of the paper, and subsequently compute the smallest singular values of the stochastically rounded matrices. If you wish to reproduce the exact same size combinations as those in the paper, ensure you have sufficient memory resources. Otherwise, you can modify the size variables accordingly. Please review the comments at the beginning of each script before executing.