200 citations · 675 across the 45 of their papers we have counts for
4 papers · 1 filter
Lumpings of Markov chains, entropy rate preservation, and higher-order lumpability
Bernhard C. Geiger, Christoph Temmel
A lumping of a Markov chain is a coordinate-wise projection of the chain. We characterise the entropy rate preservation of a lumping of an aperiodic and irreducible Markov chain on…
Signal Enhancement as Minimization of Relevant Information Loss
Bernhard C. Geiger, Gernot Kubin
We introduce the notion of relevant information loss for the purpose of casting the signal enhancement problem in information-theoretic terms. We show that many algorithms from mac…
Relative Information Loss in the PCA
Bernhard C. Geiger, Gernot Kubin
In this work we analyze principle component analysis (PCA) as a deterministic input-output system. We show that the relative information loss induced by reducing the dimensionality…
Relative Information Loss - An Introduction
Bernhard C. Geiger, Gernot Kubin
We introduce a relative variant of information loss to characterize the behavior of deterministic input-output systems. We show that the relative loss is closely related to Renyi's…