Abstract: Many dimensionality and model reduction techniques rely on estimating dominant eigenfunctions of associated dynamical operators from data. Important examples include the Koopman operator…

Abstract: Many models in machine learning and PDE-based inverse problems exhibit intrinsic spectral properties, which have been used to explain the generalization capacity and the ill-posedness of…

Abstract: Mapping landforms on the surface of the Moon and the planets is important for resources exploration and future human settlements, and it presents interesting and difficult mathematical…

Abstract - The flow of a thin film down an inclined plane is a canonical setup in fluid mechanics and associated technologies, with applications such as coating, where the liquid-gas interface should…

Abstract: Semi-supervised learning is the problem of finding missing labels; more precisely one has a data set of feature vectors of which a (often small) subset are labelled. The semi-supervised…

Abstract: Many structured-output prediction (SOP) tasks in machine learning sport both soft (probabilistic) and hard (symbolic) constraints. Extending current deep learning architectures to correctly…

Abstract: Numerous real-world phenomena exhibit mechanisms evolving on greatly different time scales. In this talk, we focus on delayed loss of stability in two classes of mathematical models, namely…

Abstract: Partial Differential Equations (PDEs) are ubiquitous in the sciences and engineering. Although very successful, traditional numerical methods can be very expensive, even infeasible, for a…

Abstract: To solve a large-scale boundary value problem on a supercomputer, the problem domain is partitioned into smaller subdomains that can be tackled by individual processors. Since those…

In this final video, we offer suggestions for how to prepare for the thematic readings and discussions

It’s Election Week and the campaigns are in their final stages. Our focus is now on the key policy areas at issue in Scotland and in Wales.

Euler structures and noncommutative volume formsCalabi-Yau structures on dg categories provide a noncommutative analog of symplectic structures. In this talk I will introduce a noncommutative analog…

The sphere of spherical objectsConsider the 2-Calabi--Yau triangulated category arising from the zigzag algebra of the An quiver. The braid group acts on this category by twists in spherical objects.…

One World Virtual Seminar Series - Stochastic Numerics and Inverse Problems, 30 March 2022 Gilles Vilmart (Université de Genève)Superconvergent methods inspired by the Crank-Nicolson…

Love of the Distant, Obedience to Proximity Contradicting a long tradition of purgative, curative, redemptive, contemplative soul journeys – a tradition which still casts its shadows –…

Abstract: Complex dynamical systems like molecular systems or stochastic climate models often involve a variety of different time and length scales. We propose a strategy for coarse graining of such…