3 papers
cs.IT2024
A precise bare simulation approach to the minimization of some distances. II. Further Foundations
Michel Broniatowski, Wolfgang Stummer
The constrained minimization (respectively maximization) of directed distances and of related generalized entropies is a fundamental task in information theory as well as in the ad…
math.ST2022
A Unifying Framework for Some Directed Distances in Statistics
Michel Broniatowski, Wolfgang Stummer
Density-based directed distances -- particularly known as divergences -- between probability distributions are widely used in statistics as well as in the adjacent research fields…
cs.IT2021
Optimal transport with some directed distances
Wolfgang Stummer
We present a toolkit of directed distances between quantile functions. By employing this, we solve some new optimal transport (OT) problems which e.g. considerably flexibilize some…