In 1976 Keller formulated the following very general definition of inverse problems, which is often cited in the literature:

"We call two problems inverses of one another if the formulation of each involves all or part of the solution of the other. Often, for historical reasons, one of the two problems has been studied extensively for some time, while the other is newer and not so well understood. In such cases, the former problem is called the direct problem, while the latter is called the inverse problem."

Inverse problems appear in many situations in physics, engineering, biology and medicine. The main mathematical problem is the well (ill) – posedness of the inversion process. Indeed, in practice most inverse problems are ill-posed in terms of non-uniqueness or lack of stability of the inversion.

This one-day meeting is one of four LMS meetings on inverse problems every year that brings together researchers who work on advancing the field of inverse problems, both from a theoretical and from an applied point of view.

The meeting will concentrate on inverse problems that handle large and / or high-dimensional data.

Theme

Poster Prize

We invite students and other early career researchers to present a poster about their research at the meeting. Please indicate your interest in presenting a poster when registering (see below).

A prize of £100 will be awarded to the best poster to support travel and accommodation costs.

Speakers

Invited speakers will include:

1. -Simon Arridge (UCL)
   

2. -Natalia Bochkina (University of Edinburgh)
   

3. -Matt Dunlop (University of Warwick)
   

4. -Felix Herrmann (UBC & Imperial)
   

5. -Marcelo Peyrera (University of Bristol)
   

Registration

Registration for this event is free of charge but for planning issues please write an email to Marco Iglesias at Marco.Iglesias@nottingham.ac.uk, including your name, affiliation and (if applicable) an expression of interest for presenting a poster at the meeting.

Programme

10:30--12:00
Felix Herrmann (UBC & Imperial) - Randomized Sampling in Exploration Seismology
Natalia Bochkina (University of Edinburgh) - Bayesian inverse problems under possibly misspecified nonregular likelihood

12:15--13:15
Lunch and poster session

13:30--15:00
Simon Arridge (UCL) - Computational Aspects of PhotoAcoustic Tomography
Matt Dunlop (University of Warwick) - Hierarchical Bayesian level set inversion

15:00--15:15
Coffee break

15:15--16:00
Marcelo Peyrera (University of Bristol) - Fast proximal Markov chain Monte Carlo: stochastic simulation meets convex optimisation

Acknowledgements: This event is funded by the London Mathematical Society, BGS and GERC.