Postdoc in Goal-Oriented Uncertainty Quantification for Inverse Problems at DTU Compute

DTU Compute’s Section for Scientific Computing invites applications for a 2-year Postdoc position starting June 1, 2020 or soon thereafter. The position is associated with the research initiative CUQI financed by the Villum Foundation.

 

The Section for Scientific Computing at DTU Compute performs interdisciplinary research in mathematical modeling, numerical analysis and computational methods aimed at complex and large-scale problems in science, engineering and society. The section's expertise includes many of the aspects of computational science, from modeling of physical phenomena to developing, analyzing, and implementing methodologies for the solution of real-life problems. Our research focuses on functional analysis; partial differential equations; matrix computations; inverse problems and imaging; optimization and control; and computational mathematics – with applications in, e.g., energy systems and engineering design.

 

Project Description

Uncertainty Quantification (UQ) allows us to characterize and study the sensitivity of a solution taking into account errors and inaccuracies in the data, models, algorithms, etc. We focus on inverse problems (e.g., image deblurring, tomographic imaging, source reconstruction, and fault inspection), and the overall goal of the CUQI project is to create a computational platform, suited for non-experts in academia and industry.

 

In many applications, the end-goal is to compute a Quantity of Interest (QoI) defined on the solution to an inverse problem, such as the segmentation of a deblurred image, the dynamics of an object in CT imaging, or the location of details in a CT or EIT reconstruction.  Performing UQ on a QoI is often referred to as Goal-Oriented UQ, and some core problems here are 1) how to develop efficient computational algorithms and 2) whether we can compute the QoI directly from the data.

 

Our activities in Goal-Oriented UQ are performed in a collaboration with the Department of Mathematics, Virginia Tech, Blacksburg, VA. The Postdoc must spend some of the time at Virginia Tech.

 

Responsibilities and tasks

The present postdoc project will focus on theoretical and computational aspects of Goal-Oriented UQ, and we will study how to incorporate these types of problems in a general computational platform. The project involves development of theory as well as computational algorithms, plus evaluation of the results on selected inverse problems, e.g., sound source reconstruction, electrical impedance tomography, or image analysis.

 

The applicant will be responsible for developing practical models and methods for Goal-Oriented UQ with an eye to incorporating these types of problems in a general computational platform for UQ for inverse problems. The applicant will work in a team of PhD students, postdocs and faculty members in the section, and must contribute with research towards the overall goals of the CUQI project. The applicant must be prepared to spend time at Virginia Tech. Finally, the applicant is expected to give limited contributions to teaching and training activities as well as supervision of students.

 

Qualifications
Candidates should have a PhD degree or equivalent in scientific computing, computational science and engineering, applied mathematics, or equivalent academic qualifications. Preference will be given to candidates who can document research in uncertainty quantification, inverse problems, numerical algorithms and scientific computing. Furthermore, good command of the English language is essential.

 

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 terms of employment

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 duration of the position is 2 years, and we aim for at starting date of June 1, 2020 (or as soon as possible after that).

 

You can read more about career paths at DTU here.

 

Further information

Further information may be obtained at the project’s home page CUQI and from the PI, professor Per Christian Hansen, mail pcha@dtu.dk, tel +45 2365 2798.

 

You can read more about DTU Compute at www.compute.dtu.dk/english.

 

Application procedure

Please submit your online application no later than 29 February 2020 (local time).

Apply online at www.career.dtu.dk.

 

Applications must be submitted as one PDF file containing all materials to be given consideration. To apply, please open the link "Apply online", fill out the online application form, and attach all your materials in English in one PDF file. The file must include:

  • Application (cover letter)
  • CV
  • Diploma (MSc/PhD)
  • List of publications
  • Links to other material that may be relevant, e.g., software.

 

Applications and enclosures 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.

 

DTU Compute is an internationally unique academic environment spanning the science disciplines mathematics, statistics and computer science. At the same time, we are an engineering department covering informatics and communication technologies (ICT) in their broadest sense. Finally, we play a major role in addressing the societal challenges of the digital society where ICT is a part of every industry, service, and human endeavor.

 

DTU Compute has a total staff of 400 including 100 faculty members and 130 PhD students. We offer introductory courses to all engineering programs at DTU and specialized courses to the mathematics, computer science, and other programs. We offer continuing education courses and scientific advice within our research disciplines, and provide a portfolio of innovation activities for students and employees

 

Technology for people
DTU develops technology for people. With our international elite research and study programmes, we are helping to create a better world and to solve the global challenges formulated in the UN’s 17 Sustainable Development Goals. Hans Christian Ørsted founded DTU in 1829 with a clear vision to develop and create value using science and engineering to benefit society. That vision lives on today. DTU has 11,500 students and 6,000 employees. We work in an international atmosphere and have an inclusive, evolving, and informal working environment. Our main campus is in Kgs. Lyngby north of Copenhagen and we have campuses in Roskilde and Ballerup and in Sisimiut in Greenland.

Organisation: 
Job location: 
2800 Copenhagen
Denmark
Contact and application information
Deadline: 
Saturday, February 29, 2020
Contact name: 
Per Christian Hansen
Contact email: 
Categorisation