Zobrazeno 1 - 10
of 159
pro vyhledávání: '"Krebs, Johannes"'
Autor:
Krebs, Johannes, Rademacher, Daniel
We study two-sample tests for relevant differences in persistence diagrams obtained from $L^p$-$m$-approximable data $(\mathcal{X}_t)_t$ and $(\mathcal{Y}_t)_t$. To this end, we compare variance estimates w.r.t.\ the Wasserstein metrics on the space
Externí odkaz:
http://arxiv.org/abs/2401.10349
Autor:
Krebs, Johannes, Rademacher, Daniel
In this paper, we study the stability of commonly used filtration functions in topological data analysis under small perturbations of the underlying nonrandom point cloud. Relying on these stability results, we then develop a test procedure to detect
Externí odkaz:
http://arxiv.org/abs/2311.11259
Autor:
Krebs, Johannes Heinrich
1. Bis(1-(4-tolyl)-carboran-2-yl)-(4-tolyl)-borane, a new bis(o-carboranyl)-(R)-borane 1 was synthesised by lithiation of the o-carboranyl precursor and subsequent salt metathesis reaction with (4-tolyl)BBr2. Cyclic voltammetry experiments on 1 show
Motivated by the rapidly increasing relevance of virtual material design in the domain of materials science, it has become essential to assess whether topological properties of stochastic models for a spatial tessellation are in accordance with a giv
Externí odkaz:
http://arxiv.org/abs/2209.13151
In this paper we treat statistical inference for an intrinsic wavelet estimator of curves of symmetric positive definite (SPD) matrices in a log-Euclidean manifold. This estimator preserves positive-definiteness and enjoys permutation-equivariance, w
Externí odkaz:
http://arxiv.org/abs/2202.07010
Publikováno v:
In Journal of Statistical Planning and Inference July 2024 231
Autor:
Krebs, Johannes
We establish the Bahadur representation of sample quantiles for stabilizing score functionals in stochastic geometry and study local fluctuations of the corresponding empirical distribution function. The scores are obtained from a Poisson process. We
Externí odkaz:
http://arxiv.org/abs/2105.06500
Autor:
Pavlović Saftić, Dijana, Ricker, Robert, Mentzel, Paul, Krebs, Johannes, Amini, Hashem, Lorenzen, Sabine, Schopper, Nils, Kenđel, Adriana, Miljanić, Snežana, Morvan, Jennifer, Mauduit, Marc, Trolez, Yann, Piantanida, Ivo, Marder, Todd B.
Publikováno v:
In Microchemical Journal January 2024 196
We study approximation theorems for the Euler characteristic of the Vietoris-Rips and Cech filtration. The filtration is obtained from a Poisson or binomial sampling scheme in the critical regime. We apply our results to the smooth bootstrap of the E
Externí odkaz:
http://arxiv.org/abs/2005.07557
The present contribution investigates multivariate bootstrap procedures for general stabilizing statistics, with specific application to topological data analysis. Existing limit theorems for topological statistics prove difficult to use in practice
Externí odkaz:
http://arxiv.org/abs/2005.01417