Gradient flows: from theory to application
Apr 20, 2015  Apr 24, 2015
ICMS, 15 South College Street, Edinburgh
Organisers
Name  Institution 

Düring, Bertram  University of Sussex 
Schönlieb, CarolaBibiane  University of Cambridge 
Wolfram, MarieTherese  Austrian Academy of Sciences 
The main objective of this workshop is to bring experts from analysis, numerics and relevant applications together, initiate intra and interdisciplinary collaborations and develop pathways from analytical and numerical methods into realworld applications. The workshop will feature bridging talks and several discussion rounds over the week. The workshop aims to advance and improve the knowledge on gradient flows in established and novel research directions.
Workshop Photographs
Several group photographs and a selection from Martin Burger's public lecture have been uploaded to the ICMS Flickr account. Follow this link to view the pictures and click any picture to enlarge it.
If you have a Flickr account you can also leave comments on the pictures and add your own workshop pictures to the ICMS events group pool.
Arrangements
The workshop will begin with registration on Monday morning 20 April and close at midday on Friday 24 April 2015. Please take these timings into account when booking your travel.
Participation
Participation for this event is by invitation only. Invitees will receive an emailed invitation from ICMS, on behalf of the Scientific Organisers, in January 2015.
Venue and Talks
The workshop will be held at 15 South College Street, Edinburgh. You may also find this map useful for the workshop. All lectures will be held in the Newhaven Lecture Theatre. The Lecture Theatre is equipped with a data projector, computer, visualiser (the new generation of overhead projectors) and two blackboards. The projector and one board may be used simultaneously. It is best to bring your presentation on a memory stick to use in our ICMS computer. Alternatively, it is possible for you to use your own laptop with our dataprojector, but please be aware that you may have to alter your laptop resolutions/settings.
UK Visas
If you are travelling from overseas you may require an entry visa. A European visa does not guarantee entry to the UK. Please use this link to the UK Visas site to find out if you need a visa and if so how to apply for one.
Travel
Information about travel to the UK and Edinburgh is available here. Please note that it is your responsibility to have adequate travel insurance to cover medical and other emergencies that may occur on your trip.
A taxi directly from the airport will cost approximately 20.00 GBP to the city centre for a oneway journey. There is also a bus service direct from the airport to the city centre which will cost 4.00 single or 7.00 GBP return  the Airlink 100. This is a frequent service (every 10 minutes during peak times) and will bring you close to Waverley Railway Station and the workshop venue.
Lothian buses charge £1.50 for a single, £3.50 for a day ticket. Please note that the exact fare is required and no change is given.
If travelling by train, please note that Edinburgh has several railway stations; Waverley Railway Station being the main station and closest to the workshop venue at 15 South College Street. If you alight at Edinburgh Waverley, the meeting venue is an easy 10 minute walk over North and South Bridge. The other railway stations are Haymarket and Edinburgh Park but please note that these stations are at the West End of the city centre.
Accommodation
ICMS has organised accommodation for all Invited Participants (unless requested otherwise). If you have not received an email containing your accommodation details, please contact Audrey Brown at ICMS by email.
Public Lecture
On Wednesday 22 April, Martin Burger will give a Public Lecture (title and abstract below). Doors will open to the Public at 17.30, with the Lecture beginning at 18.00. The Public Lecture will be followed by an informal wine reception in the Chapterhouse at ICMS from 19.0020.00. Seats have been reserved in the Lecture Theatre for all the workshop participants so there is no need for you to book a seat.
Strange gradient flows: the structure of images and novel opportunities in biomedical imaging
Gradient flow models are naturally appearing in many real systems trying to decrease energy (or increase entropy at fixed energy) over time. The mathematical structure of such models is interesting for many other problems however. In particular imaging has benefited strongly by carrying over such ideas. In this talk we shall discuss at a general and visual level such developments.
A particular focus will be on imaging with sharp edges, which is of course highly important for human perception, and its consequences on the mathematics. Indeed appropriate modelling leads to a class of very strange gradient flows with unusual dynamics. With those strange flows strong improvements in many imaging tasks can be made, as a particularly relevant example we will show how measurement times in medical imaging can be dramatically reduced without significant quality loss. Moreover, we will discuss a more fundamental question about images, namely decomposing it into their main ingredients similar as the human vision would do.
Catering
The workshop grant will cover refreshments throughout the event, lunch on Monday, Tuesday, Wednesday and Thursday, an informal wine reception at 14 India Street on Tuesday evening and another on Wednesday following the Public Lecture, and a Workshop Dinner on the Thursday evening, 19.00, at Blonde Restaurant, 75 St Leondard's Street, Edinburgh.
Wireless Access
The workshop venue, 15 South College Street, has wireless access throughout. On arrival at Registration you will be given instructions and a code for accessing the wireless network. For those without laptops, there will also be a couple of computers available for you to check your emails.
Registration Fee
A 70.00 GBP registration fee is payable by all on arrival at ICMS. We accept sterling cash, sterling cheques or credit/debit card payment. Please note that a 1.75% administration fee is added to credit card payments and that we do not accept American Express or Discover cards. To pay by sterling cheque, please make your cheque payable to “HeriotWatt University”.
Programme
Please continue to check the Programme for amendments prior to the start of the workshop.
Monday 20 April 2015
09.0010.30  Registration & coffee in the Chapterhouse, Level 1 
10.3011.15  José A Carrillo (Imperial College London) 
11.1511.30  Questions and discussion 
11.3012.00  Jean David Benamou (INRIA) 
12.0013.30  Lunch provided in the Chapterhouse 
13.3014.15  Charlie Elliott (University of Warwick) 
14.1514.30  Questions and discussions 
14.3015.00  Daniel Matthes (Technische Universität München) 
15.0015.30  Coffee/Tea in the Chapterhouse 
15.3016.00  Filippo Santambrogio (Université ParisSud) 
16.0016.30  Yanghong Huang (Imperial College London) 
16.3017.00  Discussions and collaboration 
Tuesday 21 April
09.0009.45  Martin Rumpf (Universität Bonn) 
09.4510.00  Questions and discussion 
10.0010.30  Coffee/Tea in the Chapterhouse 
10.3011.00  Elena Celledoni (Norwegian University of Science and Technology) 
11.0011.30  Reinout Quispel (La Trobe University) 
11.3012.00  Jan Haskovec (KAUST) 
12.0013.30  Lunch provided in the Chapterhouse 
13.3014.15  Chris Budd (University of Bath) 
14.1514.30  Questions and discussions 
14.3015.00  JanFrederik Pietschmann (Technische Universität Darmstadt) 
15.0015.30  Coffee/Tea in the Chapterhouse 
15.3016.00  Riccarda Rossi (University of Brescia) 
16.0017.00  Discussions and collaboration 


17.0018.00  Workshop moves to The James Clerk Maxwell Foundation, 14 India Street, Edinburgh (the birthplace of James Clerk Maxwell). See map in Registration Pack, pages 2021. 
18.0019.00  Short 'Communications' (4 x 10 minute talks with 5 minutes questions and discussion): Mikaela Iacobelli (Università di Roma, Sapienza & École Polytechnique) Franscsco Saverio Patacchini (Imperial College London) Helen Ranetbauer (Austrian Academy of Sciences) 
19.0020.00  Wine Reception at 14 India Street 
Wednesday 22 April
09.0009.45  Andrea Bertozzi (University of California, Los Angeles) 
09.4510.00  Questions and discussion 
10.0010.30  Coffee/Tea in the Chapterhouse 
10.3011.00  Yves van Gennip (University of Nottingham) 
11.0011.30  Alethea Barbaro (Case Western Reserve University) 
11.3012.00  Marco Di Francesco (University of L'Aquila) 
12.0013.30  Lunch provided in the Chapterhouse 
13.3014.15  Matteo Novaga (Università di Pisa) 
14.1514.30  Questions and discussions 
14.3015.00  Jan Lellmann (University of Cambridge) 
15.0015.30  Coffee/Tea in the Chapterhouse 
15.3016.00  Luca Calatroni (University of Cambridge) 
16.0016.30  Stephen Watson (University of Glasgow) 
16.3017.00  Discussion and collaboration 
17.30  Doors open to the public 
18.0019.00  Public Lecture by Martin Burger 
19.0020.00  Informal wine reception in Chapterhouse, Level 1 
Thursday 23 April
09.0009.45  Giuseppe Savare (University of Pavia) 
09.4510.00  Questions and discussion 
10.0010.30  Coffee/Tea in the Chapterhouse 
10.3011.00  Vanessa Styles (University of Sussex) 
11.0011.30  Alexander Lorz (Université Pierre et Marie Curie) 
11.3012.00  Birgit Schörkhuber (University of Vienna) 
12.0013.30  Lunch provided in the Chapterhouse 
13.3014.15  Mike Cullen (Meteorological Office) 
14.1514.30  Questions and discussions 
14.3015.00  Coffee/Tea in the Chapterhouse 
15.0016.00  Industrial talks (3 x 20 minutes): Paul Childs (formerly Schlumberger Gould Research) & Andrew Fitzgibbon (Microsoft Research) Michael Möller (Technische Universität München) 
16.0016.45  Group discussions (3 groups: Lecture Theatre, Chapterhouse, Seminar Room) 
16.4517.00  Groups report back (Lecture Theatre) 
19.00  Workshop Dinner at Blonde Restaurant, 75 St Leonard's Street, Edinburgh 
Friday 24 April
09.0009.45  Irene Fonseca (Carnegie Mellon University) 
09.4510.00  Questions and discussion 
10.0010.45  Johannes Zimmer (University of Bath) 
10.4511.00  Questions and discussion 
11.0011.30  Coffee/Tea in the Chapterhouse 
11.3012.00  Discussion and close of workshop 
Presentations:
Presentation Details  

Barbaro, Alethea  
Phase transitions in a flocking model  
View Abstract  
Benamou, Jean David  
Optimal transportation numerical methods for JKO gradient flows  
View Abstract  
Bertozzi, Andrea  
Gradient flows and TV minimization on graphs for large data clustering  
View Abstract  
Budd, Chris  
Discrete variational derivative methods for PDES  
View Abstract  
Burger, Martin  
PUBLIC LECTURE: Strange gradient flows: The structure of images and novel opportunities in biomedical imaging  
View Abstract  
Calatroni, Luca  
Efficient numerical solvers for a total variation Wasserstein flow  
View Abstract  
Carrillo, José A  
Particle methods based on gradient flow structures  
View Abstract  
Celledoni, Elena  
Geometric methods for graphic animation of character motion and analysis of curves on SO(3)  
View Abstract  
Childs, Paul  
Gradient flows in exploration geophysics  
View Abstract  
Cullen, Mike  
Application of optimal transport methods to Hamiltonian flows  
View Abstract  
Di Francesco, Marco  
Interplay between gradient flows and conservation laws  
View Abstract  
Elliott, Charlie  
Discrete dynamics:interfaces and surfaces  
View Abstract  
Fitzgibbon, Andrew  
Resolutionindependent image reconstruction  
View Abstract  
Fonseca, Irene  
Variational methods for crystal surface instability  
View Abstract  
Haskovec, Jan  
Mathematical analysis of a PDE model for biological network formation  
View Abstract  
Huang, Yanghong  
Discontinuous Galerkin method for nonlocal equations with a gradient flow structure  
View Abstract  
Iacobelli, Mikaela  
SHORT TALK: A gradient flow approach to quantization of measures  
View Abstract  
Lellmann, Jan  
Imaging with KantorovichRubinstein discrepancy  
View Abstract  
Lorz, Alexander  
On a Boltzmann type mean field model for knowledge growth  
View Abstract  
Matthes, Daniel  
Discretizing fourth order Wasserstein gradient flows  
View Abstract  
Möller, Michael  
Visually pleasing colour video reconstruction  
View Abstract  
Novaga, Matteo  
Mean curvature flow with obstacles  
View Abstract  
Osberger, Horst  
SHORT TALK: Consistent spatial discretization of second and fourth order Wasserstein gradient flows  
View Abstract  
Patacchini, Francesco Saverio  
SHORT TALK: Existence of compactly supported global minimisers for the interaction energy  
View Abstract  
Pietschmann, JanFrederik  
Flow characteristics in a crowded transport model  
View Abstract  
Quispel, Reinout  
Discrete gradients  
View Abstract  
Ranetbauer, Helene  
SHORT TALK: Derivation and analysis of a nonlinear crossdiffusion model for pedestrian dynamics  
View Abstract  
Rossi, Riccarda  
Existence results for gradient systems with nonconvex energies and application to elastoplasticity at finite strain  
View Abstract  
Rumpf, Martin  
Variational discretization of thin films on surfaces  
View Abstract  
Santambrogio, Filippo  
The flow of the Sliced Wasserstein distances: analysis, open questions and applications  
View Abstract  
Savare, Giuseppe  
Gradient flows, Ekeland principle and convergence of the Minimizing Movement method  
View Abstract  
Schörkhuber, Birgit  
A spectral mapping theorem for perturbed OrnsteinUhlenbeck operators  
View Abstract  
Styles, Vanessa  
Double obstacle phase field approach to an inverse problem for a discontinuous diffusion coefficient  
View Abstract  
van Gennip, Yves  
Graph gradient flows and their relatives  
View Abstract  
Watson, Stephen  
Emergent symmetries of dissipative flows and their morphometrics  
View Abstract  
Yarman, Can Evren  
Gradient flows in exploration geophysics  
View Abstract  
Zimmer, Johannes  
Entropic flows and their stochastic corrections for particle models  
View Abstract 
Participants
Name  Institution 

Barbaro, Alethea  Case Western Reserve University 
Benamou, Jean David  INRIA 
Bertozzi, Andrea  University of California, Los Angeles 
Budd, Chris  University of Bath 
Burger, Martin  Westfälische WilhelmsUniversität Münster 
Calatroni, Luca  University of Cambridge 
Carrillo, José A  Imperial College London 
Celledoni, Elena  Norwegian University of Science and Technology 
Childs, Paul  Independent Research Scientist  formerly Schlumberger Gould Research 
Cullen, Mike  Meteorological Office 
Di Francesco, Marco  University of L'Aquila 
Düring, Bertram  University of Sussex 
Elliott, Charlie  University of Warwick 
Fitzgibbon, Andrew  Microsoft Research 
Fonseca, Irene  Carnegie Mellon University 
Haskovec, Jan  KAUST 
Huang, Yanghong  Imperial College London 
Hussain, Javed  University of York 
Iacobelli, Mikaela  Università di Roma, Sapienza & École Polytechnique 
Lellmann, Jan  University of Cambridge 
Lorz, Alexander  Université Pierre et Marie Curie 
Matthes, Daniel  Technische Universität München 
Möller, Michael  Technische Universität München 
Novaga, Matteo  Università di Pisa 
Osberger, Horst  Technische Universität München 
Ottobre, Michela  HeriotWatt University 
Patacchini, Francesco Saverio  Imperial College London 
Pietschmann, JanFrederik  Technische Universität Darmstadt 
Quispel, Reinout  La Trobe University 
Ranetbauer, Helene  Austrian Academy of Sciences 
Rossi, Riccarda  University of Brescia 
Rumpf, Martin  Universität Bonn 
Santambrogio, Filippo  Université ParisSud 
Savare, Giuseppe  University of Pavia 
Schönlieb, CarolaBibiane  University of Cambridge 
Schörkhuber, Birgit  University of Vienna 
Sierra, Jesus  KAUST 
Styles, Vanessa  University of Sussex 
van Gennip, Yves  University of Nottingham 
Watson, Stephen  University of Glasgow 
Wolfram, MarieTherese  Austrian Academy of Sciences 
Yarman, Can Evren  Schlumberger Gould Research 
Zimmer, Johannes  University of Bath 