Activites and Courses

The forthcoming activities of the research project – summer schools, workshops, training sessions, etc. – will be announced here.

VILLUM Investigator Grant Inauguration

The inauguration of the CUQI research initiative took place Nov. 4, 2019 with the program

  • 15:00 Welcome and presentation of the PI - Rasmus Larsen, Provost, DTU
  • 15:15 WILLUM FONDEN and its role in Danish research - Jens Kann-Rasmussen, chairman, Villum Fonden
  • 15:25 The Villum Investogator Programme - Thomas Bjørnholm, Director of Science, Villum Fonden
  • 15:35 CUQI at DTU Compute - Per Christian Hansen, Professor and Villum Investigator, DTU Compute
  • 15:45 Classifying Stroke Using Electrical Impedance Tomography - Samuli Siltanen, Professor, Univ. of Helsinki & Honarary Professor at DTU Compute
  • 16:20 Closing Remarks - Per B. Brockhoff, Head of Department, DTU Compute

     

PhD course: Bayesian Scientific Computing

December 2019

Bayesian statistics is concerned with inference on variables that are not directly observable, the unknowns of primary interest, based a priori information about them plus observation of other quantities that depend indirectly on the variables of interest. The connection between Bayesian inference and inverse problems, the science of estimating variables from noisy indirect measurements is clear, and presently Bayesian methods in inverse problems are widely used. The interplay between ideas from scientific computing for inverse problems and Bayesian methods for inference gives rise to Bayesian scientific computing, which the topic of this course.

The lectured will focus on basic techniques in Bayesian methods, including probability distributions, Bayes' formula, conditioning, hierarchical models, estimation problems arising in this context, as well as certain numerical techniques for inverse problems, including regularization and iterative methods for solving large systems. In the lectures the connections between computational inverse problems and Bayesian inference will be highlighted. The Bayesian methods developed in the course will be used to solve inverse problems with sparsity constraints and dynamically update estimates with classical filtering techniques such as Kalman filtering.

The course consists of lectures and MATLAB based exercises, and is based on the book: D.  Calvetti and E. Somersalo, Introduction to Bayesian Scientific Computing, Springer, 2007, as well as a preliminary new edition of it.  A basic knowledge of any recent version of MATLAB is required; no additional toolboxed will be used.

Ects: 2.5.
Time: December 9-13, 2019 (one full week).
Teacher: Professor Daniela Calvetti and Professor Erkki Somersalo, both from Case Western Reserve University, Cleveland, Ohio.
Course responsible, contact: Professor Per Christian Hansen, DTU.
More details: link to course description (DTU course 02962).

Sign up for the course by sending an email to Per Christian Hansen: pcha@dtu.dk.

Please be advised that all participants are responsible themselves for finding accommodation (we do not have the resources to help with this).

PhD course: Computational Uncertainty Quantification for Inverse Problems

May 2020

Uncertainty Quantification (UQ) is the science of quantifying, characterizing, tracing, and managing uncertainty in computational and real world systems. This course is aimed at PhD students and researchers in applied mathematics and physics who want to understand and use UQ in connection with inverse problems such as image deblurring, computed tomography, and inverse scattering.

The course consists of lectures and exercises using MATLAB. The topics are: a review of computational inverse problems, Bayesian methods and UQ for inverse problems, prior modeling with Markov random fields, and recently developed MCMC methods for UQ in inverse problems. The course ends with a mini-project done by the course participants.

The course uses the book: J. M. Bardsley, Computational Methods and Uncertainty Quantification for Inverse Problems, SIAM, 2018.

Ects: 2.5.
Time: May 11-15, 2020 (one full week).
Teacher: Professor Johnathan M. Bardsley, University of Montana.
Course responsible, contact: Professor Per Christian Hansen, DTU.
More details: link to course description (DTU course 02923).

Sign up for the course by sending an email to Per Christian Hansen: pcha@dtu.dk.

Please be advised that all participants are responsible themselves for finding accommodation (we do not have the resources to help with this).