This page includes a list and a short description of projects I have been working on. It is still under construction.

Tvrtko Tadic

Finite Probability Space

This is a package for the free open-source mathematics software system SAGE. It was written based on the previous package Discrete Probability Space, but it was rewritten. Many features were simplified and new options were added. This package supports the following:

  1. defining probability spaces;
  2. probabilities having symbolic/rational/real values (new feature);
  3. defining random variables on a probability space;
  4. random variables can obtain symbolic, rational or real values (new feature);
  5. operations among random variables (new feature);
  6. calculating expectations, variances, different probabilities (new feature)
It is useful for doing exact and symbolic calculations in models were the underlying probability space is relatively small.

The package is currently under review for new official distribution. Until then you can download the code here and see the example how to use it here.

Learning (un)conditional independencies in determinantal point processes

Project for Statistical methods in CS class, solved a question from a research paper. Found a simple characterization of conditional independencies, worked on efficient implementation.