UniDistance Suisse Mathematics Colloquium

UniDistance Suisse Mathematics Colloquium is a series of hour-long talks organised by the mathematics faculty. They are held 2-3 times per semester on Thursdays at 5 p.m. on Zoom. The link for participation in the event is the following: https://fernuni.zoom.us/j/64850280617.

Spring 2022

Dates and speakers for the coming semester will be announced soon. Past events are listed below.

Registration

Registration is optional. Registered participants will receive an email reminder a day before the colloquium containing the Zoom link for the talk.


Previous events

Scientific machine learning of dynamical systems with operator inference and re-projection

Talk by Benjamin Peherstorfer, New York University

Thursday, November 18, 2021
5 p.m., on Zoom

This work introduces a method for learning low-dimensional dynamical-system models from data of high-dimensional black-box systems. The key contribution is a data sampling scheme that introduces a re-projection step to obtain trajectories corresponding to Markovian dynamics in low-dimensional subspaces. Models fitted to re-projected trajectories exactly match reduced models that are traditionally constructed with model reduction techniques from full knowledge of the governing equations and their discrete operators of the high-dimensional systems. Building on a posteriori error estimators from traditional model reduction, we derive probabilistic bounds for the generalization error of the models learned from data. Numerical results demonstrate the workflow of the proposed approach from data to reduced models to certified predictions for establishing trust in decisions made from data.

Speaker

Benjamin Peherstorfer is Assistant Professor at Courant Institute of Mathematical Sciences. His research focuses on computational methods for data- and compute-intensive science and engineering applications, including scientific machine learning, mathematics of data science, model reduction, and computational statistics.


The non-Abelian X-ray transform

Talk by Gabriel Paternain, University of Cambridge

Thursday, October 21st, 2021
5 p.m., on Zoom

Gabriel Paternain will describe the mathematics that underpins new experiments designed to measure magnetic fields inside materials by shooting them with neutron beams from different directions, like in a CT scan.

The problem is packed with some beautiful geometry and analysis, where the star of the show is a matrix in SO(3) obtained by solving a suitable linear ODE along straight lines in the plane.

Speaker

Gabriel Paternain is a professor of mathematics at the University of Cambridge, UK. His research interests include differential geometry, analysis, dynamical systems, and geometric inverse problems, especially geodesic ray transforms.

Scroll to top