16 citations · 67 across the 20 of their papers we have counts for
21 papers
Single-Token Expected-Value Scoring for Cold-Start Candidate Ranking
Qihang Wang, Jinwei Tan, Mengyuan Shi +8
AI-assisted sourcing streamlines candidate review, reducing the administrative burden of manual screening for recruiters. However, deploying language models as production rankers r…
Helmut Karzel (1928-2021)
Hans Havlicek, Alexander Kreuzer, Hans-Joachim Kroll +1
Obituary for Professor Dr. Dr. h.c. Helmut Karzel, who passed away on June 22, 2021, at the age of 93.
WaLDORf: Wasteless Language-model Distillation On Reading-comprehension
James Yi Tian, Alexander P. Kreuzer, Pai-Hung Chen +1
Transformer based Very Large Language Models (VLLMs) like BERT, XLNet and RoBERTa, have recently shown tremendous performance on a large variety of Natural Language Understanding (…
Bayesian inference for dynamic vine copulas in higher dimensions
Alexander Kreuzer, Claudia Czado
We propose a class of dynamic vine copula models. This is an extension of static vine copulas and a generalization of dynamic C-vine and D-vine copulas studied by Almeida et al (20…
Bayesian Multivariate Nonlinear State Space Copula Models
Alexander Kreuzer, Luciana Dalla Valle, Claudia Czado
In this paper we propose a flexible class of multivariate nonlinear non-Gaussian state space models, based on copulas. More precisely, we assume that the observation equation and t…
A Bayesian Non-linear State Space Copula Model to Predict Air Pollution in Beijing
Alexander Kreuzer, Luciana Dalla Valle, Claudia Czado
Air pollution is a serious issue that currently affects many industrial cities in the world and can cause severe illness to the population. In particular, it has been proven that e…
Efficient Bayesian inference for nonlinear state space models with univariate autoregressive state equation
Alexander Kreuzer, Claudia Czado
Latent autoregressive processes are a popular choice to model time varying parameters. These models can be formulated as nonlinear state space models for which inference is not str…
Bayesian inference for a single factor copula stochastic volatility model using Hamiltonian Monte Carlo
Alexander Kreuzer, Claudia Czado
For modeling multivariate financial time series we propose a single factor copula model together with stochastic volatility margins. This model generalizes single factor models rel…
Heavy tailed spatial autocorrelation models
A. Kreuzer, T. Erhardt, T. Nagler +1
Appropriate models for spatially autocorrelated data account for the fact that observations are not independent. A popular model in this context is the simultaneous autoregressive…
Obituary: Walter Benz (1931-2017)
Alexander Kreuzer, Hans Havlicek
Emeritus Professor Dr. Dr. h.c. Walter Benz passed away on 13 January 2017.
A lower bound on Gowers' FIN_k theorem
Alexander P. Kreuzer
Gowers' FIN theorem, also called Gowers' pigeonhole principle or Gowers' theorem, is a Ramsey-type theorem. It first occurred in the study of Banach space theory and is a natur…
On the Uniform Computational Content of the Baire Category Theorem
Vasco Brattka, Matthew Hendtlass, Alexander P. Kreuzer
We study the uniform computational content of different versions of the Baire Category Theorem in the Weihrauch lattice. The Baire Category Theorem can be seen as a pigeonhole prin…
On the Uniform Computational Content of Computability Theory
Vasco Brattka, Matthew Hendtlass, Alexander P. Kreuzer
We demonstrate that the Weihrauch lattice can be used to classify the uniform computational content of computability-theoretic properties as well as the computational content of th…
Measure theory and higher order arithmetic
Alexander P. Kreuzer
We investigate the statement that the Lebesgue measure defined on all subsets of the Cantor space exists. As base system we take . The system $\mathsf{ACA}_0…
Bounded variation and the strength of Helly's selection theorem
Alexander P. Kreuzer
We analyze the strength of Helly's selection theorem HST, which is the most important compactness theorem on the space of functions of bounded variation. For this we utilize a new…
On principles between - and -induction, and monotone enumerations
Alexander P. Kreuzer, Keita Yokoyama
We show that many principles of first-order arithmetic, previously only known to lie strictly between -induction and -induction, are equivalent to the well-foundedness of…
Minimal idempotent ultrafilters and the Auslander-Ellis theorem
Alexander P. Kreuzer
We characterize the existence of minimal idempotent ultrafilters (on N) in the style of reverse mathematics and higher-order reverse mathematics using the Auslander-Ellis theorem a…
On idempotent ultrafilters in higher-order reverse mathematics
Alexander P. Kreuzer
We analyze the strength of the existence of idempotent ultrafilters in higher-order reverse mathematics. Let (Uidem) be the statement that an idempotent ultrafilter on the natural…
Non-principal ultrafilters, program extraction and higher order reverse mathematics
Alexander P. Kreuzer
We investigate the strength of the existence of a non-principal ultrafilter over fragments of higher order arithmetic. Let U be the statement that a non-principal ultrafilter exist…
On the strength of weak compactness
Alexander P. Kreuzer
We study the logical and computational strength of weak compactness in the separable Hilbert space \ell_2. Let weak-BW be the statement the every bounded sequence in \ell_2 has a w…
The cohesive principle and the Bolzano-Weierstraß principle
Alexander P. Kreuzer
The aim of this paper is to determine the logical and computational strength of instances of the Bolzano-Weierstraß principle (BW) and a weak variant of it. We show that BW is inst…