119 citations · 222 across the 16 of their papers we have counts for
22 papers
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…
Grid-Based Decimation for Wavelet Transforms with Stably Invertible Implementation
Nicki Holighaus, Günther Koliander, Clara Hollomey +1
The constant center frequency to bandwidth ratio (Q-factor) of wavelet transforms provides a very natural representation for audio data. However, invertible wavelet transforms have…
Fusion of Probability Density Functions
Günther Koliander, Yousef El-Laham, Petar M. Djurić +1
Fusing probabilistic information is a fundamental task in signal and data processing with relevance to many fields of technology and science. In this work, we investigate the fusio…
A Differential Entropy Estimator for Training Neural Networks
Georg Pichler, Pierre Colombo, Malik Boudiaf +2
Mutual Information (MI) has been widely used as a loss regularizer for training neural networks. This has been particularly effective when learn disentangled or compressed represen…
Lossy Compression of General Random Variables
Erwin Riegler, Helmut Bölcskei, Günther Koliander
This paper is concerned with the lossy compression of general random variables, specifically with rate-distortion theory and quantization of random variables taking values in gener…
Modelling the Utility of Group Testing for Public Health Surveillance
Günther Koliander, Georg Pichler
In epidemic or pandemic situations, resources for testing the infection status of individuals may be scarce. Although group testing can help to significantly increase testing capab…
Efficient computation of the zeros of the Bargmann transform under additive white noise
Luis Alberto Escudero, Naomi Feldheim, Günther Koliander +1
We study the computation of the zero set of the Bargmann transform of a signal contaminated with complex white noise, or, equivalently, the computation of the zeros of its short-ti…
Zeros of Gaussian Weyl-Heisenberg functions and hyperuniformity of charge
Antti Haimi, Günther Koliander, José Luis Romero
We study Gaussian random functions on the complex plane whose stochastics are invariant under the Weyl-Heisenberg group (twisted stationarity). The theory is modeled on translation…
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…
Minimal Achievable Sufficient Statistic Learning
Milan Cvitkovic, Günther Koliander
We introduce Minimal Achievable Sufficient Statistic (MASS) Learning, a training method for machine learning models that attempts to produce minimal sufficient statistics with resp…
Characterization of Analytic Wavelet Transforms and a New Phaseless Reconstruction Algorithm
Nicki Holighaus, Günther Koliander, Zdenĕk Průša +1
We obtain a characterization of all wavelets leading to analytic wavelet transforms (WT). The characterization is obtained as a by-product of the theoretical foundations of a new m…
Filtering with Wavelet Zeros and Gaussian Analytic Functions
Luis Daniel Abreu, Antti Haimi, Günther Koliander +1
We present the continuous wavelet transform (WT) of white Gaussian noise and establish a connection to the theory of Gaussian analytic functions. Based on this connection, we propo…
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…
Lossless Analog Compression
Giovanni Alberti, Helmut Bölcskei, Camillo De Lellis +2
We establish the fundamental limits of lossless analog compression by considering the recovery of arbitrary m-dimensional real random vectors x from the noiseless linear measuremen…
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…