200 citations · 675 across the 45 of their papers we have counts for
Showing 2015Show all
3 papers · 1 filter
cs.IT2015★ 1 cited
Graph-Based Lossless Markov Lumpings
Bernhard C. Geiger, Christoph Hofer-Temmel
We use results from zero-error information theory to determine the set of non-injective functions through which a Markov chain can be projected without losing information. These lu…
cs.IT2015★ 3 cited
The Fractality of Polar and Reed-Muller Codes
Bernhard C. Geiger
The generator matrices of polar codes and Reed-Muller codes are obtained by selecting rows from the Kronecker product of a lower-triangular binary square matrix. For polar codes, t…
math.PR2015
Cepstral Analysis of Random Variables: Muculants
Christian Knoll, Bernhard C. Geiger, Gernot Kubin
An alternative parametric description for discrete random variables, called muculants, is proposed. In contrast to cumulants, muculants are based on the Fourier series expansion, r…