119 citations · 222 across the 16 of their papers we have counts for
11 papers · 1 filter
Completion of Matrices with Low Description Complexity
Erwin Riegler, Günther Koliander, David Stotz +1
We propose a theory for matrix completion that goes beyond the low-rank structure commonly considered in the literature and applies to general matrices of low description complexit…
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…
Rate-Distortion Theory for General Sets and Measures
Erwin Riegler, Günther Koliander, Helmut Bölcskei
This paper is concerned with a rate-distortion theory for sequences of i.i.d. random variables with general distribution supported on general sets including manifolds and fractal s…
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…
Rate-Distortion Theory of Finite Point Processes
Günther Koliander, Dominic Schuhmacher, Franz Hlawatsch
We study the compression of data in the case where the useful information is contained in a set rather than a vector, i.e., the ordering of the data points is irrelevant and the nu…
Lossless Linear Analog Compression
Giovanni Alberti, Helmut Bölcskei, Camillo De Lellis +2
We establish the fundamental limits of lossless linear analog compression by considering the recovery of random vectors from the noisele…
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…
Oversampling Increases the Pre-Log of Noncoherent Rayleigh Fading Channels
Meik Dörpinghaus, Günther Koliander, Giuseppe Durisi +2
We analyze the capacity of a continuous-time, time-selective, Rayleigh block-fading channel in the high signal-to-noise ratio (SNR) regime. The fading process is assumed stationary…
Degrees of Freedom of Generic Block-Fading MIMO Channels without A Priori Channel State Information
Günther Koliander, Erwin Riegler, Giuseppe Durisi +1
We studynthe high-SNR capacity of generic MIMO Rayleigh block-fading channels in the noncoherent setting where neither transmitter nor receiver has a priori channel state informati…
Generic Correlation Increases Noncoherent MIMO Capacity
Günther Koliander, Erwin Riegler, Giuseppe Durisi +1
We study the high-SNR capacity of MIMO Rayleigh block-fading channels in the noncoherent setting where neither transmitter nor receiver has a priori channel state information. We s…
A Lower Bound on the Noncoherent Capacity Pre-log for the MIMO Channel with Temporally Correlated Fading
Günther Koliander, Erwin Riegler, Giuseppe Durisi +2
We derive a lower bound on the capacity pre-log of a temporally correlated Rayleigh block-fading multiple-input multiple-output (MIMO) channel with T transmit antennas and R receiv…