activity
20112023
most citedRelative Information Loss in the PCA

48 citations · 124 across the 12 of their papers we have counts for

collaborators

13 papers

physics.class-ph2023★ 9 cited

A Validated Finite Element Model for Room Acoustic Treatments with Edge Absorbers

Florian Kraxberger, Eric Kurz, Werner Weselak +3

Porous acoustic absorbers have excellent properties in the low-frequency range when positioned in room edges, therefore they are a common method for reducing low-frequency reverber…

cs.CL2023★ 3 cited

Using Kaldi for Automatic Speech Recognition of Conversational Austrian German

Julian Linke, Saskia Wepner, Gernot Kubin +1

As dialogue systems are becoming more and more interactional and social, also the accurate automatic speech recognition (ASR) of conversational speech is of increasing importance.…

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…

cs.IT2013

Information Loss and Anti-Aliasing Filters in Multirate Systems

Bernhard C. Geiger, Gernot Kubin

This work investigates the information loss in a decimation system, i.e., in a downsampler preceded by an anti-aliasing filter. It is shown that, without a specific signal model in…

cs.IT2013

On the Rate of Information Loss in Memoryless Systems

Bernhard C. Geiger, Gernot Kubin

In this work we present results about the rate of (relative) information loss induced by passing a real-valued, stationary stochastic process through a memoryless system. We show t…

cs.IT2013★ 1 cited

Information Measures for Deterministic Input-Output Systems

Bernhard C. Geiger, Gernot Kubin

In this work the information loss in deterministic, memoryless systems is investigated by evaluating the conditional entropy of the input random variable given the output random va…

eess.SY2013★ 18 cited

Optimal Kullback-Leibler Aggregation via Information Bottleneck

Bernhard C. Geiger, Tatjana Petrov, Gernot Kubin +1

In this paper, we present a method for reducing a regular, discrete-time Markov chain (DTMC) to another DTMC with a given, typically much smaller number of states. The cost of redu…

cs.IT2012★ 13 cited

Signal Enhancement as Minimization of Relevant Information Loss

Bernhard C. Geiger, Gernot Kubin

We introduce the notion of relevant information loss for the purpose of casting the signal enhancement problem in information-theoretic terms. We show that many algorithms from mac…

cs.IT2012★ 48 cited

Relative Information Loss in the PCA

Bernhard C. Geiger, Gernot Kubin

In this work we analyze principle component analysis (PCA) as a deterministic input-output system. We show that the relative information loss induced by reducing the dimensionality…

cs.IT2012★ 3 cited

Relative Information Loss - An Introduction

Bernhard C. Geiger, Gernot Kubin

We introduce a relative variant of information loss to characterize the behavior of deterministic input-output systems. We show that the relative loss is closely related to Renyi's…

cs.IT2011★ 8 cited

On the Information Loss in Memoryless Systems: The Multivariate Case

Bernhard C. Geiger, Gernot Kubin

In this work we give a concise definition of information loss from a system-theoretic point of view. Based on this definition, we analyze the information loss in static input-outpu…

cs.IT2011★ 10 cited

Some Results on the Information Loss in Dynamical Systems

Bernhard C. Geiger, Gernot Kubin

In this work we investigate the information loss in (nonlinear) dynamical input-output systems and provide some general results. In particular, we present an upper bound on the inf…

cs.IT2011★ 11 cited

Information Loss in Static Nonlinearities

Bernhard C. Geiger, Christian Feldbauer, Gernot Kubin

In this work, conditional entropy is used to quantify the information loss induced by passing a continuous random variable through a memoryless nonlinear input-output system. We de…