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Towards an Algebraic Network Information Theory: Distributed Lossy Computation of Linear Functions

Related publications (32)

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Analysis of an algebraic Petrov-Galerkin smoothed aggregation multigrid method

We give a convergence estimate for a Petrov-Galerkin Algebraic Multigrid method. In this method, the prolongations are defined using the concept of smoothed aggregation while the restrictions are simple aggregation operators. The analysis is carried out by ...

2008

Flexible Motion-Adaptive Video Coding with Redundant Expansions

Pascal Frossard, Pierre Vandergheynst, Adel Rahmoune

This paper presents a highly flexible video coding scheme (MP3D), based on the use of a redundant 3-D spatio-temporal dictionary of functions. Directionality and anisotropic scaling are key ingredients to the spatial components, that form a rich collection ...

2006

Image security and processing in the JPEG 2000 compressed domain

Raphaël Grosbois

Digital images are becoming increasingly successful thanks to the development and the facilitated access to systems permitting their generation (i.e. camera, scanner, imaging software, etc). A digital image basically corresponds to a 2D discrete set of reg ...

EPFL2003

MOMS: Maximal-Order Interpolation of Minimal Support

Michaël Unser, Philippe Thévenaz, Thierry Blu

We consider the problem of interpolating a signal using a linear combination of shifted versions of a compactly-supported basis function φ(x). We first give the expression of the φ's that have minimal support for a given accuracy (also known as "approximat ...

IEEE2001

Joint Source/FEC Rate Selection for Quality-Optimal MPEG-2 Video Delivery

Pascal Frossard

This paper deals with the optimal allocation of MPEG-2 encoding and media-independent Forward Error Correction (FEC) rates under a total given bandwidth. The optimality is defined in terms of minimum perceptual end-to-end distortion given a set of video an ...

2001

On optimal low-complexity source/channel coding

Martin Vetterli, Michael Christoph Gastpar, Bixio Rimoldi

Shannon's separation theorem gives a conceptually and practically appealing way to construct an optimal communication system in two independent steps, namely source compression and channel coding. However, sometimes it is worth considering {\em joint} sour ...

2000

Joint Source/FEC Rate Selection for Optimal MPEG-2 Video Delivery

Pascal Frossard

This paper deals with the optimal allocation of MPEG-2 encoding and media-independent FEC rates under a total given bandwidth. The optimality is defined in terms of minimum perceptual end-to-end distortion given a set of video and network parameters. We fi ...

EUSIPCO2000

Data binarization by discriminant elimination

This paper is concerned with the problem of constructing a mapping from an arbitrary input space

\Input

into a binary output space

\Bin^\BinDim

, based on a given data set

\DataSet \subset \Input

partitioned into classes. The aim is to reduce the tota ...

IDIAP1999

Data binarization by discriminant elimination

This paper is concerned with the problem of constructing a mapping from an arbitrary input space

\Input

into a binary output space

\Bin^\BinDim

, based on a given data set

\DataSet \subset \Input

partitioned into classes. The aim is to reduce the tota ...

1999

Preisach model identification from higher harmonics

Bertrand Dutoit, Marten Sjöström

The classic Preisach model is used to describe a general hysteretic behaviour, and as most nonlinear systems, its output contains higher harmonics. A Fourier analysis of a specific class of weighting functions for the Preisach model relates some free param ...

1998

Data binarization by discriminant elimination

This paper is concerned with the problem of constructing a mapping from an arbitrary input space

\Input

into a binary output space

\Bin^\BinDim

, based on a given data set

\DataSet \subset \Input

partitioned into classes. The aim is to reduce the tota ...

IDIAP1999

Data binarization by discriminant elimination

This paper is concerned with the problem of constructing a mapping from an arbitrary input space

\Input

into a binary output space

\Bin^\BinDim

, based on a given data set

\DataSet \subset \Input

partitioned into classes. The aim is to reduce the tota ...

1999