2 citations · 2 across the 7 of their papers we have counts for
9 papers
Robust functional PCA for relative data
Jeremy Oguamalam, Peter Filzmoser, Karel Hron +2
This paper introduces a robust approach to functional principal component analysis (FPCA) for relative data, particularly density functions. While recent papers have studied densit…
Identifying Important Pairwise Logratios in Compositional Data with Sparse Principal Component Analysis
Viktorie Nesrstová, Ines Wilms, Karel Hron +1
Compositional data are characterized by the fact that their elemental information is contained in simple pairwise logratios of the parts that constitute the composition. While pair…
Orthogonal decomposition of multivariate densities in Bayes spaces and its connection with copulas
Christian Genest, Karel Hron, Johanna G. Nešlehová
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…
Compositional Cubes: A New Concept for Multi-factorial Compositions
Kamila Fačevicová, Peter Filzmoser, Karel Hron
Compositional data are commonly known as multivariate observations carrying relative information. Even though the case of vector or even two-factorial compositional data (compositi…
Bivariate Densities in Bayes Spaces: Orthogonal Decomposition and Spline Representation
Karel Hron, Jitka Machalová, Alessandra Menafoglio
A new orthogonal decomposition for bivariate probability densities embedded in Bayes Hilbert spaces is derived. It allows one to represent a density into independent and interactiv…
Changing reference measure in Bayes spaces with applications to functional data analysis
R. Talska, A. Menafoglio, K. Hron +2
Probability density functions (PDFs) can be understood as continuous compositions by the theory of Bayes spaces. The origin of a Bayes space is determined by a given reference meas…
Compositional splines for representation of density functions
Jitka Machalova, Renata Talska, Karel Hron +1
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…
Robust Principal Component Analysis for Compositional Tables
Julie Rendlová, Karel Hron, Kamila Fačevicová +1
A data table which is arranged according to two factors can often be considered as a compositional table. An example is the number of unemployed people, split according to gender a…
Interpretation of Compositional Regression with Application to Time Budget Analysis
Ivo Muller, Karel Hron, Eva Fiserova +3
Regression with compositional response or covariates, or even regression between parts of a composition, is frequently employed in social sciences. Among other possible application…