KIT Career ServiceStudentsTheses

Machine Learning between function spaces: Neural Operators

Research topic/area
ML
Type of thesis
Master
Start time
02.11.2026
Application deadline
23.10.2026
Duration of the thesis
3-6 Monate

Description

When considering machine learning on e.g. image data, it is alway necessary to discretise the input and output. E.g. we view image data as 1024x1024 grid of values instead of the continuous space beneath it [0, 1]^2. The objective of neural operators is to design machine learning architectures that can cope with different discretizations of the same input space.

Goals of the thesis could be:

1. understand the theory behind neural operators and current architectures,

2. implement such a machine learning model, and

3. perform a benchmark on a suitable dataset to compare architectures.

Some introductory literature can be found at:
https://arxiv.org/abs/2304.13221

https://arxiv.org/abs/2010.08895

Requirement

Requirements for students
  • - python
  • - machine learning
  • - math

Faculty departments
  • Economic & law sciences
    Business management


Supervision

Title, first name, last name
Leonard Vetter
Organizational unit
KIT, IOR
Email address
vetter@kit.edu
Link to personal homepage/personal page
Website

Application via email

Application documents
  • Curriculum vitae
  • Grade transcript
  • Certificate of enrollment

E-Mail Address for application
Senden Sie die oben genannten Bewerbungsunterlagen bitte per Mail an vetter@kit.edu


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