200 citations · 675 across the 45 of their papers we have counts for
5 papers · 1 filter
On the Information Dimension of Multivariate Gaussian Processes
Bernhard C. Geiger, Tobias Koch
The authors have recently defined the Rényi information dimension rate of a stationary stochastic process as the entropy rate of the uniform…
A Generalized Framework for Kullback-Leibler Markov Aggregation
Rana Ali Amjad, Clemens Blöchl, Bernhard C. Geiger
This paper proposes an information-theoretic cost function for aggregating a Markov chain via a (possibly stochastic) mapping. The cost function is motivated by two objectives: 1)…
Semi-supervised cross-entropy clustering with information bottleneck constraint
Marek Śmieja, Bernhard C. Geiger
In this paper, we propose a semi-supervised clustering method, CEC-IB, that models data with a set of Gaussian distributions and that retrieves clusters based on a partial labeling…
On the Information Dimension of Stochastic Processes
Bernhard C. Geiger, Tobias Koch
In 1959, Rényi proposed the information dimension and the -dimensional entropy to measure the information content of general random variables. This paper proposes a generalizati…
Divergence Scaling of Fixed-Length, Binary-Output, One-to-One Distribution Matching
Patrick Schulte, Bernhard C. Geiger
Distribution matching is the process of invertibly mapping a uniformly distributed input sequence onto sequences that approximate the output of a desired discrete memoryless source…