58 citations · 72 across the 6 of their papers we have counts for
6 papers
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…
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…
A precise bare simulation approach to the minimization of some distances. Foundations
Michel Broniatowski, Wolfgang Stummer
In information theory -- as well as in the adjacent fields of statistics, machine learning, artificial intelligence, signal processing and pattern recognition -- many flexibilizati…
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…
Some distance bounds of branching processes and their diffusion limits
Niels B. Kammerer, Wolfgang Stummer
We compute exact values respectively bounds of "distances" - in the sense of (transforms of) power divergences and relative entropy - between two discrete-time Galton-Watson branch…
On Bregman Distances and Divergences of Probability Measures
Wolfgang Stummer, Igor Vajda
The paper introduces scaled Bregman distances of probability distributions which admit non-uniform contributions of observed events. They are introduced in a general form covering…