KIT Career ServiceTheses at KIT

On the Samplings of Gaussian Mixture

Research topic/area
Artificial Intelligence
Type of thesis
Bachelor / Master
Start time
-
Application deadline
30.06.2028
Duration of the thesis
4 months(BSc) - 6 months(MSc)

Description

Monte Carlo sampling uses randomness to estimate numerical results, often for integration or simulation. Deterministic sampling follows fixed rules, producing repeatable outputs. Las Vegas algorithms are randomized but always return correct results, though runtime varies. These methods differ in accuracy, reliability, and efficiency depending on the problem structure and goals. Gaussian Mixture Models (GMMs) describe complex data using multiple Gaussian distributions. Sampling methods help estimate GMM parameters via techniques like Expectation-Maximization or MCMC. Monte Carlo sampling explores probabilistic spaces effectively, while deterministic approaches ensure convergence. GMMs are valuable because they model heterogeneity, clustering, and uncertainty in a flexible probabilistic framework.

Requirement

Requirements for students
  • There are no hard constraints but the more programming and math you know the more you can have fun while doing the project.

Faculty departments
  • Engineering sciences
    Informatics


Supervision

Title, first name, last name
Ali Darijani
Organizational unit
Computer Science(IAR/IES)
Email address
ali.darijani@iosb.fraunhofer.de
Link to personal homepage/personal page
Website

Application via email

Application documents

E-Mail Address for application
Senden Sie die oben genannten Bewerbungsunterlagen bitte per Mail an ali.darijani@iosb.fraunhofer.de


Back