School of Mathematics

We show that Viterbo‘s conjecture (for the EHZ-capacity) for convex Lagrangian products in ℝ4 holds for all Lagrangian products (any trapezoid in ℝ2) x (any convex body in ℝ2). Moreover, we classify all equality cases of Viterbo’s conjecture within...

In computer vision, generalization of neural representations is usually measured on i.i.d. data. This hides the fact that representations often struggle to generalize to non-i.i.d data and fail to overcome the biases inherent in visual datasets. I...

Recent deep learning models have achieved impressive predictive performance by learning complex functions of many variables, often at the cost of interpretability. This lecture first defines interpretable machine learning in general and introduces...

In computer vision, generalization of neural representations is usually measured on i.i.d. data. This hides the fact that representations often struggle to generalize to non-i.i.d data and fail to overcome the biases inherent in visual datasets. I...

In computer vision, generalization of neural representations is usually measured on i.i.d. data. This hides the fact that representations often struggle to generalize to non-i.i.d data and fail to overcome the biases inherent in visual datasets. I...

To an element in the completion of the set of Lagrangians for the spectral distance we associate a support.  We show that such a support is γ-coisotropic (a notion we shall define in the talk) and we shall give examples and counterexamples of γ...