PhD Scholarship in Error Propagation and Implicit Priors in Computational UQ

Would you like to work with applied and computational mathematics in a collaborative and ambitious research team? Are you interested in establishing new insight about the influence and impact of data errors in the computed results?

We can offer a 3-year PhD position with scientific challenges and international collaboration.

Responsibilities and qualifications

This PhD project is concerned with analysis of the influence of data errors in iterative solvers for inverse problems such as computed tomography and image deblurring. It is part of the research project DUDE: Data Uncertainty and Design/Reconstruction Errors funded by Independent Research Fund Denmark. The work is carried out together with two postdocs in the Section for Scientific Computing.

The goal is to establish a solid understanding of how data errors propagate in iterative regularization methods such as CGLS and GMRES. In addition, we aim to interpret these methods in the framework of computational uncertainty quantification. The project continues the work in the project CUQI: Computational Uncertainty Quantification for Inverse Problems.

We will utilize and expand our software CUQIpy, and the results will be tested on data from, e.g., dental scanners and tokamak fusion tomography.

In addition to research tasks, you will take courses for 30 ECTS on general and specific topics, and you will teach students in courses and do project supervision at various levels.

You must have a two-year master's degree (120 ECTS points) or a similar degree with an academic level equivalent to a two-year master's degree. The MSc degree should be in applied and/or computational mathematics.

Assessment

The assessment of the applicants will be made by Prof. Per Christian Hansen and one additional member of the Section for Scientific Computing, DTU Compute.

We offer

DTU is a leading technical university globally recognized for the excellence of its research, education, innovation and scientific advice. We offer a rewarding and challenging job in an international environment. We strive for academic excellence in an environment characterized by collegial respect and academic freedom tempered by responsibility.

Salary and appointment terms

The appointment will be based on the collective agreement with the Danish Confederation of Professional Associations. The allowance will be agreed upon with the relevant union. 

The period of employment is 3 years. The starting date is September 1^st, 2026, or as early as possible thereafter (according to mutual agreement). 

Application procedure

To apply, please read the full job advertisement here: PhD scholarship in Error Propagation and Implicit Priors in Computational UQ

DTU – For the benefit of society since 1829

DTU is one of Europe's leading elite technical universities. Through research and education at an international top level, we create solutions to the major societal challenges of our time and help secure Europe's global leadership in sustainable technological development. Since Hans Christian Ørsted founded DTU almost 200 years ago, our mission has remained the same: We develop and create value through the natural and technical sciences for the benefit of society. DTU has 13,800 students, 1,600 PhD students, and 6,500 employees. We work in an international environment and have an inclusive, stimulating, and informal work culture. DTU has campuses in all parts of Denmark and in Greenland and collaborates with the best universities around the world.

Advert information