25 citations · 42 across the 5 of their papers we have counts for
5 papers
Variational Representations and Neural Network Estimation of Rényi Divergences
Jeremiah Birrell, Paul Dupuis, Markos A. Katsoulakis +2
We derive a new variational formula for the Rényi family of divergences, , between probability measures and . Our result generalizes the classical Donsker-Varadha…
Distributional Robustness and Uncertainty Quantification for Rare Events
Jeremiah Birrell, Paul Dupuis, Markos A. Katsoulakis +2
Rare events, and more general risk-sensitive quantities-of-interest (QoIs), are significantly impacted by uncertainty in the tail behavior of a distribution. Uncertainty in the tai…
DTATG: An Automatic Title Generator based on Dependency Trees
Liqun Shao, Jie Wang
We study automatic title generation for a given block of text and present a method called DTATG to generate titles. DTATG first extracts a small number of central sentences that co…
How biased is your model? Concentration Inequalities, Information and Model Bias
Konstantinos Gourgoulias, Markos A. Katsoulakis, Luc Rey-Bellet +1
We derive tight and computable bounds on the bias of statistical estimators, or more generally of quantities of interest, when evaluated on a baseline model P rather than on the ty…
Scalable Information Inequalities for Uncertainty Quantification
Markos A. Katsoulakis, Luc Rey-Bellet, Jie Wang
In this paper we demonstrate the only available scalable information bounds for quantities of interest of high dimensional probabilistic models. Scalability of inequalities allows…