100 citations · 333 across the 26 of their papers we have counts for
29 papers
Duality of monoids up to symmetry
Dinh Van Le, Tim Römer, Nguyen Thi Vien
We study duality for monoids in an infinite-dimensional setting that are invariant under the action of the infinite symmetric group Sym. Our main result is an equivariant Minkowski…
On monoids up to symmetry
Dinh Van Le, Tim Römer, Nguyen Thi Vien
We study monoids in an infinite-dimensional setting that are invariant under the action of the infinite symmetric group Sym. Our main result establishes a local--global principle c…
PHEATPRUNER: Interpretable Data-centric Feature Selection for Multivariate Time Series Classification through Persistent Homology
Anh-Duy Pham, Olivier Basole Kashongwe, Martin Atzmueller +1
Balancing performance and interpretability in multivariate time series classification is a significant challenge due to data complexity and high dimensionality. This paper introduc…
Simplicial complexes in network intrusion profiling
Mandala von Westenholz, Martin Atzmueller, Tim Römer
For studying intrusion detection data we consider data points referring to individual IP addresses and their connections: We build networks associated with those data points, such…
Equivariant lattice bases
Dinh Van Le, Tim Römer
We study lattices in free abelian groups of infinite rank that are invariant under the action of the infinite symmetric group, with emphasis on finiteness of their equivariant base…
Covariance matrices of length power functionals of random geometric graphs -- an asymptotic analysis
Matthias Reitzner, Tim Römer, Mandala von Westenholz
Asymptotic properties of a vector of length power functionals of random geometric graphs are investigated. More precisely, its asymptotic covariance matrix is studied as the intens…