8 citations · 8 across the 8 of their papers we have counts for
8 papers
Realising atomless laws as distance distributions on metric measure spaces
Christoph Thäle, Philipp Tuchel
We study which probability measures on can occur as the distribution of the distance between two independent points sampled from a complete separable metric space equi…
Mod-phi convergence for random variables with cyclotomic generating functions
Christoph Thäle, Philipp Tuchel
We consider a sequence of discrete random variables whose generating functions are polynomials only having roots on the unit circle in the complex plane. For such sequences we prov…
Benchmarks in Leipzig
Andrei Balakin, Miklós Bóna, Marie-Charlotte Brandenburg +45
Between April 1 and May 15, 2026, a group of 49 mathematicians compiled a dataset of research-level mathematics questions with known answers. Most of the work was done during the t…
Large deviations for sums of multivariate stretched-exponential random variables: the few-big-jumps principle
Nina Gantert, Joscha Prochno, Philipp Tuchel
Large deviations for sums of i.i.d.\ random variables with stretched-exponential tails (also called Weibull or semi-exponential tails) have been well understood since the 60's, goi…
On the Universal Representation Property of Spiking Neural Networks
Shayan Hundrieser, Philipp Tuchel, Insung Kong +1
Inspired by biology, spiking neural networks (SNNs) process information via discrete spikes over time, offering an energy-efficient alternative to the classical computing paradigm…
Large and Moderate Deviations for Entries of Orthogonal Matrices and the Stiefel Manifold
Philipp Tuchel
Let be distributed according to the Haar probability measure on the orthogonal group for each . It is well-known that the upper left $m_N\tim…
Limit Theorems for the Volume of Random Projections and Sections of -balls
Joscha Prochno, Christoph Thaele, Philipp Tuchel
Let be the -dimensional unit ball corresponding to the -norm. For each we sample a uniform random subspace of fixed dimension $m\i…
A Continual and Incremental Learning Approach for TinyML On-device Training Using Dataset Distillation and Model Size Adaption
Marcus Rüb, Philipp Tuchel, Axel Sikora +1
A new algorithm for incremental learning in the context of Tiny Machine learning (TinyML) is presented, which is optimized for low-performance and energy efficient embedded devices…