Publications related to Kullback–Leibler divergence

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Graph-based representation for multiview image geometry

Pascal Frossard, Thomas Maugey

In this paper, we propose a new representation for multiview image sets. Our approach relies on graphs to describe geometry information in a compact and controllable way. The links of the graph connect pixels in different images and describe the proximity ...

Institute of Electrical and Electronics Engineers2015

Kullback-Leibler Proximal Variational Inference

Pascal Fua, François Fleuret, Pierre Bruno Baqué, Mohammad Emtiyaz Khan

We propose a new variational inference method based on a proximal framework that uses the Kullback-Leibler (KL) divergence as the proximal term. We make two contributions towards exploiting the geometry and structure of the variational bound. Firstly, we p ...

2015

Divergence-Free Wavelet Frames

Michaël Unser, Emrah Bostan, John Paul Ward

We propose an efficient construction of wavelet frames in any number of dimensions that are divergence-free. Our approach is based on applying the Leray projector, which is scale-invariant, to a standard wavelet frame. We prove that the projected wavelets ...

Ieee-Inst Electrical Electronics Engineers Inc2015

Data Compression via Logic Synthesis

Giovanni De Micheli, Andreas Peter Burg, Pierre-Emmanuel Julien Marc Gaillardon, Luca Gaetano Amarù

Nowadays, most software and hardware applications are committed to reduce the footprint and resource usage of data. In this general context, lossless data compression is a beneficial technique that encodes information using fewer (or at most equal number o ...

2014

A New Entropy Power Inequality for Integer-Valued Random Variables

Emmanuel Abbé, Saeid Haghighatshoar

The entropy power inequality (EPI) yields lower bounds on the differential entropy of the sum of two independent real-valued random variables in terms of the individual entropies. Versions of the EPI for discrete random variables have been obtained for spe ...

Institute of Electrical and Electronics Engineers2014

EXIT-based Side Information Refinement in Wyner-Ziv Video Coding

Pascal Frossard, Yiqiang Chen

The accuracy of the side information (SI) is critical in the performance of distributed video coding algorithms. The SI is typically built at a decoder based on the reconstructed data and on channel coding parity bits transmitted by the encoder. The optima ...

Institute of Electrical and Electronics Engineers2014

A counterexample to well-posedness of entropy solutions to the compressible Euler system

Elisabetta Chiodaroli

We consider entropy solutions to the Cauchy problem for the isentropic compressible Euler equations in the spatially periodic case. In more than one space dimension, the methods developed by De Lellis-Szekelyhidi enable us to show here failure of uniquenes ...

World Scientific Publ Co Pte Ltd2014

An information-theoretical perspective on weighted ensemble forecasts

Steven Vincent Weijs, Nicolaas Cornelis van de Giesen

This paper presents an information--theoretical method for weighting ensemble forecasts with new information. Weighted ensemble forecasts can be used to adjust the distribution that an existing ensemble of time series represents, without modifying the valu ...

Elsevier2013

Kullback–Leibler divergence

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Graph-based representation for multiview image geometry

Kullback-Leibler Proximal Variational Inference

Divergence-Free Wavelet Frames

Appearance-based Active, Monocular, Dense Reconstruction for Micro Aerial Vehicle

Data Compression via Logic Synthesis

Multi Terminal Probabilistic Compressed Sensing

A New Entropy Power Inequality for Integer-Valued Random Variables

EXIT-based Side Information Refinement in Wyner-Ziv Video Coding

A counterexample to well-posedness of entropy solutions to the compressible Euler system

An information-theoretical perspective on weighted ensemble forecasts

Divergence-Free Wavelet Frames

Multi Terminal Probabilistic Compressed Sensing

A counterexample to well-posedness of entropy solutions to the compressible Euler system

A New Entropy Power Inequality for Integer-Valued Random Variables

Graph-based representation for multiview image geometry

Appearance-based Active, Monocular, Dense Reconstruction for Micro Aerial Vehicle

EXIT-based Side Information Refinement in Wyner-Ziv Video Coding

An information-theoretical perspective on weighted ensemble forecasts

Kullback-Leibler Proximal Variational Inference

Data Compression via Logic Synthesis