Connections between interacting particle dynamics and data science

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Connections between interacting particle dynamics and data science

 22 - 27 May 2022

Sabhal Mor Ostaig, Isle of Skye

Scientific Organisers

  • Susana Gomes, University of Warwick
  • Michela Ottobre, Heriot-Watt University
  • Marie-Therese Wolfram, University of Warwick

Scientific Committee

  • Tony Lelievre , CERMICS and École des Ponts Paris Tech
  • Antonietta Mira , Universitá della Svizzera Italiana
  • Gabriel Peyré , CNRS École Normale Superieure
  • Andrew Stuart, Caltech

About:

Interacting particle dynamics play an important role in many applied sciences, both as a modelling framework for social and biological phenomena and as a tool for statistical algorithms used in data science and uncertainty quantification. These two aspects are often intertwined as, for example, certain algorithms are inspired by dynamics observed in nature. This workshop highlighted recent contributions to the field, facilitated discussions and stimulated new research across disciplines.

The key research themes of the workshop were:

  • inverse optimal transport
  • interacting particle systems and data assimilation/filtering
  • neural networks (and multiscale methods)

 

 

 

 

 

 

 

 

 

 

 

There were two  mini-courses as part of the workshop: 
Optimal transport in a nutshell   Marie-Therese Wolfram  University of Warwick 
Ensemble Kalman methods for inference, optimisation and sampling  Sebastian Reich  University of Potsdam

A poster session was held on the first evening. . Titles and abstracts of all the posters can be found here

Arrangements

This workshop took place at Sabhal Mòr Ostaig on the Isle of Skye, 22-27 May. 

Programme

Sunday May 22
The journey begins, Coach departs from ICMS, Bayes Centre, Edinburgh, stopping at Heriot-Watt and Edinburgh airport 15.00 Arrival in Skye 21.00 approximately
Monday May 23
Introductions
Marie-Therese Wolfram, University of Warwick Optimal transport in a nutshell
Refreshment Break
Carina Geldhauser, Lund University Space-discretizations of reaction-diffusion SPDEs
Jo Evans, University of Warwick Spatially inhomogeneous noise in kinetic equations
Lunch
Kostas Zygalakis, University of Edinburgh Lyapunov functions, convergence to equilibrium and applications to sampling and optimization
Ben Goddard, University of Edinburgh A 'general' formalism for interacting particle PDEs and some challenges in parameter inference
Refreshment Break
Student flash talks
Free Time
Dinner
Poster Session and welcome drinks
Tuesday 24 May
Marie-Therese Wolfram, University of Warwick Optimal transport in a nutshell
Refreshment Break
Jana de Wiljes, University of Potsdam Challenges in high dimensional nonlinear filtering
Dan Crisan, Imperial College London Infinite dimensional McKean-Vlasov processes. Application to fluid dynamics models
Lunch
Joris Bierkens, TU Delft TBC
Anastasia Borovykh, Warwick Business School On the benefits of interacting agents in optimization
Refreshment Break
Franca Hoffman, University of Bonn Covariance modulated optimal transport
Free Time
Dinner
Discussion Session for Early Career with refreshments
Wednesday 25 May
Sebastian Reich, University of Potsdam Ensemble Kalman methods for inference, optimisation and sampling
Refreshment Break
Andrew Duncan, Imperial College London & Improbable Interacting particle system strategies to sampling from unnormalised probability distributions
Greg Pavliotis, Imperial College London Mean field limits for weakly interacting diffusions: phase transitions, multiscale analysis and inference
Lunch
Free afternoon
Dinner
Thursday 26 May
Sebastian Reich, University of Potsdam Ensemble Kalman methods for inference, optimisation and sampling
Refreshment Break
Juan Kuntz-Nussio, University of Warwick Scalable particle-based alternatives to EM
Aretha Teckentrup, University of Edinburgh Convergence and robustness of Gaussian process regression
Lunch
Carsten Hartmann, BTU Cottbus-Senftenberg Particle-based optimisation with the cross-entropy method
Oliver Tse, Eindhoven University of Technology Global optimization with particle systems
Refreshment Break
Free Time
Dinner
Discussion session: future perspectives (with drinks)
Friday 27 May
Goodbye to Skye! Coach departs around 09.15 and returns to Edinburgh (arrival 16.00 approx)

Sponsors and Funders:

The organisers acknowledge the generous support of the Glasgow Mathematical Journal Trust for this workshop.