59 citations · 165 across the 20 of their papers we have counts for
20 papers
Reverse Information Projections and Optimal E-statistics
Tyron Lardy, Peter Grünwald, Peter Harremoës
Information projections have found important applications in probability theory, statistics, and related areas. In the field of hypothesis testing in particular, the reverse inform…
Rate Distortion Theory for Descriptive Statistics
Peter Harremoës
Rate distortion theory was developed for optimizing lossy compression of data, but it also has a lot of applications in statistics. In this paper we will see how rate distortion th…
Unnormalized Measures in Information Theory
Peter Harremoës
Information theory is built on probability measures and by definition a probability measure has total mass 1. Probability measures are used to model uncertainty, and one may ask ho…
From Thermodynamic Sufficiency to Information Causality
Peter Harremoës
The principle called information causality has been used to deduce Tsirelson's bound. In this paper we derive information causality from monotonicity of divergence and relate it to…
Quantum Information on Spectral Sets
Peter Harremoës
For convex optimization problems Bregman divergences appear as regret functions. Such regret functions can be defined on any convex set but if a sufficiency condition is added the…
Divergence and Sufficiency for Convex Optimization
Peter Harremoës
Logarithmic score and information divergence appear in information theory, statistics, statistical mechanics, and portfolio theory. We demonstrate that all these topics involve som…