Throughout the project we will announce PhD positions, postdoc positions and other vacancies associated with CUQI here.

Postdoc in Efficient and Flexible Computational Methods for Uncertainty Quantification of Inverse Problems

This postdoc project focuses on the development of the CUQI software and of the underlying computational UQ methods. You will contribute to the design, abstraction and implementation of fundamental Bayesian inversion methods based on sampling methods. Your tasks will include

  • representation and exploitation of problem structure,
  • choice and convergence analysis of the sampling methods,
  • acceleration of the forward computations, and
  • definition of a suitable user interface.

You will also be responsible for

  • the development of support for a range of concrete inverse problems targeted in CUQI,
  • the support and training of users of the CUQI software, and
  • the development of documentation and tests.

Your work will help map a road to the final version of the software and allow the construction of a modeling environment that makes the best use of the current UQ models and algorithms. The CUQI software will initially constitute an in-house computational platform but, once matured, it will become publicly available. The postdoc will work under the supervision of the CUQI Software Work Package lead and will collaborate closely with other members of the CUQI project.

The workplace is DTU’s campus in Lyngby, and the period of employment is 2 years. Follow this LINK to the full job posting and the online application system.

PhD scholarship in Uncertainty Quantification for Source Localization and Passive Imaging in Random Media

This PhD project addresses inverse source and inverse medium problems applicable in, e.g., seismology, medical imaging, acoustic design, nondestructive testing of materials, and ocean bottom exploration. The task in these problems is to reconstruct a “source” (an inhomogeneity) or a “medium” (a non-constant factor) in a partial differential equation from measurements of its solution on a set with a lower dimensionality. Due to uncertainties in the models, or naturally occurring random fluctuations, the sources and the media may be described in terms of random fields.

The project involves mathematical modeling and analysis as well as scientific computing. You will be responsible for advancing the main research topics of the project, which are

  • uniqueness results and stability estimates for solutions of inverse source problems and passive medium imaging problems with random background media,
  • convergence estimates for relevant numerical inverse solvers,
  • uncertainty quantification of the effects of noise in measurements and elsewhere, incomplete time-domain measurements, and windowed frequency measurements.

We expect you to make your work resonate with the rest of the CUQI research initiative, by

  • formulating the achieved results concretely in terms of uncertainty quantification for inverse problems.

You will also be responsible for

  • the implementation and testing of relevant numerical inverse solvers, including the use of real-world measurement data.

The project includes a research stay at Université Grenoble Alpes, with a minimum duration of 6 months. While at DTU, you will contribute to the teaching activities of the Section and the Department. Finally, throughout the project you will collaborate closely with fellow PhD students and colleagues within CUQI. It is therefore important that you can

  • motivate your colleagues to be their best and achieve ambitious goals,
  • engage in regular interdisciplinary seminars arranged by CUQI, and
  • broaden your horizon to include other CUQI topics and projects.

The workplace is DTU’s campus in Lyngby, and the period of employment is 3 years. Follow this LINK to the full job posting and the online application system.

Previous vacancies

  • A permanent researcher position.
  • Two two-year postdoc positions.
  • Three PhD positions.