I am compiling a collection of exercises that I came across during my research. Most problems have short descriptions, and can be solved in a few lines. Some of them are original and might (hopefully) inspire some thoughts.

Feel free to email me if you {find a mistake, want to discuss a solution, managed to solve them by prompting LLMs}.

Properties of the Log Determinant

Gaussian Maximum Likelihood: When the Estimate Does Not Exist

Variational Inference: Does Adding Data Reduce the Approximate Posterior Uncertainty?