Moving from geochemical to contamination maps using incomplete chemical information from long-term high-density monitoring of Czech agricultural soils
T Matys Grygar, J Elznicová, Š Tůmová, T Kylich… - Environmental Earth …, 2023 - Springer
The aim of this work was to show how to construct maps of anthropogenic contamination of
agricultural soils in Czech Republic by risk elements. The geochemical datasets for this work …
agricultural soils in Czech Republic by risk elements. The geochemical datasets for this work …
[HTML][HTML] Orthogonal decomposition of multivariate densities in Bayes spaces and relation with their copula-based representation
C Genest, K Hron, JG Nešlehová - Journal of Multivariate Analysis, 2023 - Elsevier
Bayes spaces were initially designed to provide a geometric framework for the modeling and
analysis of distributional data. It has recently come to light that this methodology can be …
analysis of distributional data. It has recently come to light that this methodology can be …
Compositional splines for representation of density functions
J Machalová, R Talská, K Hron, A Gába - Computational Statistics, 2021 - Springer
In the context of functional data analysis, probability density functions as non-negative
functions are characterized by specific properties of scale invariance and relative scale …
functions are characterized by specific properties of scale invariance and relative scale …
Sliced wasserstein regression
While statistical modeling of distributional data has gained increased attention, the case of
multivariate distributions has been somewhat neglected despite its relevance in various …
multivariate distributions has been somewhat neglected despite its relevance in various …
Principal Component Analysis for Distributions Observed by Samples in Bayes Spaces
I Pavlů, J Machalová, R Tolosana-Delgado… - Mathematical …, 2024 - Springer
Distributional data have recently become increasingly important for understanding
processes in the geosciences, thanks to the establishment of cost-efficient analytical …
processes in the geosciences, thanks to the establishment of cost-efficient analytical …
Multivariate scalar on multidimensional distribution regression
R Ghosal, M Matabuena - arXiv preprint arXiv:2310.10494, 2023 - arxiv.org
We develop a new method for multivariate scalar on multidimensional distribution
regression. Traditional approaches typically analyze isolated univariate scalar outcomes or …
regression. Traditional approaches typically analyze isolated univariate scalar outcomes or …
Functional outlier detection for density-valued data with application to robustify distribution-to-distribution regression
X Lei, Z Chen, H Li - Technometrics, 2023 - Taylor & Francis
Distributional data analysis, concerned with the statistical analysis of data objects consisting
of random probability distributions in the framework of functional data analysis (FDA), has …
of random probability distributions in the framework of functional data analysis (FDA), has …
Classification of probability density functions in the framework of Bayes spaces: methods and applications
I Pavlů, A Menafoglio, E Bongiorno, K Hron - SORT-Statistics and …, 2023 - raco.cat
The process of supervised classification when the data set consists of probability density
functions is studied. Due to the relative information contained in densities, it is necessary to …
functions is studied. Due to the relative information contained in densities, it is necessary to …
Bayes hilbert spaces for posterior approximation
G Wynne - arXiv preprint arXiv:2304.09053, 2023 - arxiv.org
Performing inference in Bayesian models requires sampling algorithms to draw samples
from the posterior. This becomes prohibitively expensive as the size of data sets increase …
from the posterior. This becomes prohibitively expensive as the size of data sets increase …
Orthogonal decomposition of multivariate densities in Bayes spaces and its connection with copulas
C Genest, K Hron, JG Nešlehová - arXiv preprint arXiv:2206.13898, 2022 - arxiv.org
Bayes spaces were initially designed to provide a geometric framework for the modeling and
analysis of distributional data. It has recently come to light that this methodology can be …
analysis of distributional data. It has recently come to light that this methodology can be …