34 citations · 83 across the 11 of their papers we have counts for
6 papers · 1 filter
Three Conjectures on Binary Channels for the Doubly Symmetric Binary Source
Georg Pichler
We settle three conjectures concerning a doubly symmetric binary source with crossover . Consider Markov chains with binary, and let …
On the Estimation of Information Measures of Continuous Distributions
Georg Pichler, Pablo Piantanida, Günther Koliander
The estimation of information measures of continuous distributions based on samples is a fundamental problem in statistics and machine learning. In this paper, we analyze estimates…
Information Bottleneck on General Alphabets
Georg Pichler, Günther Koliander
We prove rigorously a source coding theorem that can probably be considered folklore, a generalization to arbitrary alphabets of a problem motivated by the Information Bottleneck m…
Dictator Functions Maximize Mutual Information
Georg Pichler, Pablo Piantanida, Gerald Matz
Let denote independent, identically distributed copies of two arbitrarily correlated Rademacher random variables . We prove that the inequality…
Distributed Information-Theoretic Clustering
Georg Pichler, Pablo Piantanida, Gerald Matz
We study a novel multi-terminal source coding setup motivated by the biclustering problem. Two separate encoders observe two i.i.d. sequences and , respectively. The goa…
Entropy and Source Coding for Integer-Dimensional Singular Random Variables
Günther Koliander, Georg Pichler, Erwin Riegler +1
Entropy and differential entropy are important quantities in information theory. A tractable extension to singular random variables-which are neither discrete nor continuous-has no…