3 citations · 3 across the 10 of their papers we have counts for
5 papers · 1 filter
Arrangements and Likelihood
Thomas Kahle, Lukas Kühne, Leonie Mühlherr +2
We develop novel tools for computing the likelihood correspondence of an arrangement of hypersurfaces in a projective space. This uses the module of logarithmic derivations. This o…
Bivariate exponential integrals and edge-bicolored graphs
Michael Borinsky, Chiara Meroni, Maximilian Wiesmann
We show that specific exponential bivariate integrals serve as generating functions of labeled edge-bicolored graphs. Based on this, we prove an asymptotic formula for the number o…
Euler Stratifications of Hypersurface Families
Simon Telen, Maximilian Wiesmann
We stratify families of projective and very affine hypersurfaces according to their topological Euler characteristic. Our new algorithms compute all strata using algebro-geometric…
Pathological Regularization Regimes in Classification Tasks
Maximilian Wiesmann, Paul Larsen
In this paper we demonstrate the possibility of a trend reversal in binary classification tasks between the dataset and a classification score obtained from a trained model. This t…
Geometry of Polynomial Neural Networks
Kaie Kubjas, Jiayi Li, Maximilian Wiesmann
We study the expressivity and learning process for polynomial neural networks (PNNs) with monomial activation functions. The weights of the network parametrize the neuromanifold. I…