Mathematical Colloquium
Upcoming talks:
| Tue 20 Jan 2026, 16:30: Sjoerd Dirksen (Utrecht University) Random hyperplane tessellations and their applications in mathematical data science |
| In my talk I will consider the following question: how many random hyperplanes are needed to uniformly tessellate a given subset of Rn with high probability? In my talk I will present an optimal answer to this question for selected distributions for the random hyperplanes and sketch three applications of these results in the mathematical foundations of data science. First, I will show how to create a fast encoding of any given dataset into a minimal number of bits. Second, I will consider performance guarantees for one-bit compressed sensing methods, which aim to reconstruct a signal from a small number of measurements that are each quantized to a single bit using an efficient analog-to-digital converter. Third, I will discuss implications for the robustness of ReLU neural networks. The talk will be a survey-style presentation for a general mathematical audience. Based on joint works with Shahar Mendelson (ANU Canberra), Alexander Stollenwerk (Louvain), Patrick Finke, Nigel Strachan (Utrecht), Paul Geuchen, Dominik Stöger, Felix Voigtlaender (Eichstätt-Ingolstadt) ___________________________ Invited by Prof. Johannes Maly |
| Theresienstr. 39, München. Room A 027 |
All lectures are on Tuesdays at 4:30 pm in lecture hall A027 unless otherwise noticed.
Looking for past events? You may find them in the Munich Mathematical Calendar.