Variable selection in nonparametric regression with functional covariates We consider a nonparametric regression model with multiple functional covariates, allowing for additional covariates of other types (categorical, continuous). The estimation method is based on an extension of the Nadaraya-Watson estimator, where a kernel function is applied to a linear combination of distance measures, each computed on […]
Molecular Classification of Ependymomas Using Histological Images and Deep Neural Networks Ependymomas represent a rare type of tumor in the central nervous system that affects both children and adults. For these tumors, strong differences in quality of diagnostic healthcare exist between medical centers in Germany. Thus, molecular analyses (e.g., DNA methylation profiling) are increasingly used […]
Vine Copula based Probabilistic Weather Forecasting ... text follows soon ...
Generalised Covariance and Correlations The covariance of two random variables measures the average joint deviations from their respective means. We generalise this well-known measure by replacing the means with other statistical functionals such as quantiles, expectiles, or thresholds. Deviations from these functionals are defined via generalised errors, often induced by identification or moment functions. As […]
tidyfun: Tidy Exploratory Analysis for Functional Data R packages "tf" and "tidyfun" implement a unified interface for working with regularly or irregularly observed function-valued data. The packages follow the tidyverse design philosophy of R packages and are aimed at lowering the barrier of entry for analysts in order to quickly and painlessly analyse and interact […]
Die Techno- und Wirtschaftsmathematikerin Iris Runge (1888-1966): Ihr Weg in die und in der Industrieforschung (Osram und Telefunken) Iris Runge, älteste Tochter des Numerikers Carl Runge (1856-1927), studierte (Ma, Ph, Erdk., Ch) in Göttingen und ein Semester in München, promovierte mit math. Methoden in Physikalischer Chemie (Göttingen 1922). Sie wurde bereits als Studentin in Projekte […]
Bivariate change point detection in cell biology and neuroscience (Moving kernel statistics for change point detection in cell biology and neuroscience) Neuronal spike trains show a diversity of patterns, including short- and long-term changes in their intensity or regularity of spike events. To analyze their impact on information processing, point process models are needed that […]
Efficient Algorithms for Improved Information Retention in Integration of Incomplete Omics Datasets The acquisition of high-quality data in the biomedical field, particularly in omics studies such as proteomics or transcriptomics, poses a significant challenge due to incomplete measurements during data acquisition or simply small sample sizes. This issue results in datasets with low statistical power […]
Two Types of Time Reversals for Markov Processes The talk is divided into three parts: In the first part, the classical time reversal for stationary Markov processes is discussed for Piecewise Deterministic Markov Processes (joint work with Zbigniew Palmowski, Wroclaw). As an example we show how one can describe the inverse of the M/G/1-workload process. […]
Granger Causality in Expectiles: a M-vine copula test Expectile-based Granger causality allows for a more comprehensive assessment of directional dependence, capturing heterogeneous causal relationships across the entire distribution, including tail regions associated with extreme risks or rare events. Furthermore, methods grounded in copula theory provide a powerful and model-free way to describe and estimate non-linear […]