PhD scholarship in Error Propagation and Implicit Priors in Computational U at Danmarks Tekniske Universitet

Copenhagen, Capital, Denmark -

Full Time

Start Date

Immediate

Expiry Date

09 Aug, 26

Salary

0.0

Posted On

11 May, 26

Experience

0 year(s) or above

Remote Job

Yes

Telecommute

Yes

Sponsor Visa

Skills

Applied Mathematics, Computational Mathematics, Iterative Solvers, Inverse Problems, Uncertainty Quantification, CGLS, GMRES, CUQIpy, Computed Tomography, Image Deblurring, Teaching, Project Supervision

Industry

Research Services

Description

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. Approval and Enrolment The scholarship for the PhD degree is subject to academic approval, and the candidate will be enrolled in one of the general degree programmes at DTU. For information about our enrolment requirements and the general planning of the PhD study programme, please see DTU's rules for the PhD education [https://www.dtu.dk/english/Education/PhD/Rules]. Assessment The assessment of the applicants will be made by Prof. Per Christian Hansen and one additional member of the Section for Scientific Computing. 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, 2026, or as early as possible thereafter (according to mutual agreement). The position is funded by a grant from the Independent Research Fund Denmark, and it is connected to the Section for Scientific Computing. You can read more about career paths at DTU here [http://www.dtu.dk/english/about/job-and-career/working-at-dtu/career-paths]. Further information Further information may be obtained from Professor Per Christian Hansen [https://people.compute.dtu.dk/pcha/], pcha@dtu.dk [pcha@dtu.dk]. You can read more about DTU Compute at www.compute.dtu.dk [http://www.compute.dtu.dk]. If you are applying from abroad, you may find useful information on working in Denmark and at DTU at DTU – Moving to Denmark [https://www.dtu.dk/english/about/job-and-career/moving-to-denmark]. Furthermore, you have the option of joining our monthly free seminar “PhD relocation to Denmark and startup “Zoom” seminar [https://www.dtu.dk/english/about/job-and-career/moving-to-denmark/before-arrival/phd-relocation-to-denmark]” for all questions regarding the practical matters of moving to Denmark and working as a PhD at DTU. Application procedure Your complete online application must be submitted no later than 10 June 2026 (23:59 Danish time). Applications must be submitted as one PDF file containing all materials to be given consideration. To apply, please open the link "Apply now", fill out the online application form, and attach all your materials in English in one PDF file. The file must include: * A letter motivating the application (cover letter) * Curriculum vitae * Grade transcripts and BSc/MSc diploma (in English) including official description of grading scale * You may attach letter(s) of recommendation You may apply prior to obtaining your master's degree but cannot begin before having received it. Applications received after the deadline will not be considered. All interested candidates irrespective of age, gender, disability, race, religion or ethnic background are encouraged to apply. As DTU works with research in critical technology, which is subject to special rules for security and export control, open-source background checks may be conducted on qualified candidates for the position. DTU Compute DTU Compute – Department of Applied Mathematics and Computer Science – is an internationally recognised academic environment with over 400 employees and 10 research sections. Our research is rooted in basic research and centres on mathematical models of the physical and virtual world, as a basis for the analysis, design, and implementation of complex systems. We focus on ensuring that our research results contribute to creating a better society by supporting areas such as health, green transition, energy supply, and life science. We collaborate with universities, public and private organisations, and companies in Denmark and abroad, and through DTU’s startup ecosystem, we encourage innovation and entrepreneurship. We have a strong ethical, human, and sustainable approach that ensures integrity in our work. Therefore, we strive for and take responsibility for driving the democratisation of digital technologies, so that everyone has the opportunity to actively participate in the development, and we ensure a continued open, democratic, and inclusive society for the benefit of all. At DTU Compute, we value diversity, inclusion, and a flexible work-life balance. Read more about us at www.compute.dtu.dk [http://www.compute.dtu.dk]. 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.

Responsibilities

The candidate will analyze how data errors propagate in iterative regularization methods for inverse problems and interpret these within a computational uncertainty quantification framework. Additionally, the role involves completing 30 ECTS of coursework and teaching students at various levels.