LMS Inverse Day on Learning in Inverse Problems, 9th of January 2015, University College London

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 learning in inverse problems. Appropriate inversion models are used to still be able to compute reliable solutions to ill-posed problems which maximise the information gain from the data. The solution accuracy thereby depends on our certainty in the model, the accuracy with which we can realise it and the amount of sensible prior information we can integrate in the model. We will discuss recent advances on analysing and optimising inversion models using data learning, model design under uncertainties and parameter choice rules.



Friday, 9 January 2015


University College London
Malet Place,
Lecture Theatres 1.02 & 1.20

Campus map


Simon Arridge (UCL), Marta Betcke (UCL), Daniel Lesnic (University of Leeds), Carola-Bibiane Schönlieb (University of Cambridge), Manuchehr Soleimani (University of Bath)

Student 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 student poster to support travel and accommodation costs.


Invited speakers will include:

  1. -Daniel Alexander (UCL)

  2. -John Aston (University of Cambridge)

  3. -Jose Caballero (Imperial College London)

  4. -Simon Cotter (University of Manchester)

  5. -Bangti Jin (UCL)

  6. -Marcelo Pereyra (University of Bristol)


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


10.00 - 10.30  Coffee and Introduction

10.30 - 11.15  Bangti Jin (UCL) - “An introduction to inverse problems for anomalous diffusion”

11.15 - 12.00  Jose Caballero (Imperial College London) - “Dictionaries for compressed sensing reconstruction of MR image sequences”

12.00 - 13.00  Lunch and Posters

13.00 - 13.45  John Aston (University of Cambridge) - “Some Statistical Aspects of Image Analysis”

13.45 - 14.30  Marcelo Pereyra (University of Bristol) - “Proximal Markov chain Monte Carlo: stochastic simulation meets convex optimisation”

14.30 - 15.00  Coffee Break

15.00 - 15.45  Simon Cotter (University of Manchester) - “Parallel Adaptive Importance Sampling: Parallelism PAIS”

15:45 - 16:30 Daniel Alexander (UCL) - "Inverse problems in diffusion MR imaging and image analysis"

Acknowledgements: This event is funded by the London Mathematical Society and  the UCL Centre for Inverse Problems.