Concept

Gaussian blur

Publications associées (238)

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Causal coding and feedback in Gaussian sensor networks

Michael Christoph Gastpar

Varaiya and Walrand found an elegant insight regarding the use of feedback in a causal coding context: While generally useful, feedback becomes useless when the channel is sufficiently symmetric. The goal of this note is to extend this insight to scenarios ...

Birkhauser Boston, C/O Springer-Verlag, Service Center, 44 Hartz Way, Secaucus, Nj 07096-2491 Usa2005

Semiparametric Latent Factor Models

Matthias Seeger

We propose a semiparametric model for regression problems involving multiple response variables. The model makes use of a set of Gaussian processes that are linearly mixed to capture dependencies that may exist among the response variables. We propose an e ...

2005

On the optimal density for real-time data gathering of spatio-temporal processes in sensor networks

Martin Vetterli, Razvan Cristescu

We consider sensor networks that measure spatio-temporal correlated processes. An important task in such settings is the reconstruction at a certain node, called the sink, of the data at all points of the field. We consider scenarios where data is time cri ...

IEEE2005

Correspondence principle between spherical and Euclidean wavelets

Pierre Vandergheynst, Yves Wiaux, Laurent Jacques

Wavelets on the sphere are reintroduced and further developed independently of the original group theoretic formalism, in an equivalent, but more straightforward approach. These developments are motivated by the interest of the scale-space analysis of the ...

2005

Second-order linear hyperbolic SPDEs driven by isotropic Gaussian noise on a sphere

Robert Dalang, Olivier Lévêque

We study a class of linear hyperbolic stochastic partial differential equations in bounded domains, that includes the wave equation and the telegraph equation, driven by Gaussian noise that is white in time but not in space. We give necessary and sufficien ...

2004

Measurement of the CP asymmetry in B → Xsγ

Aurelio Bay, Stewart Cole, Tagir Aushev, Sun Hee Kim, Jing Li

The CP asymmetry in the B → Xsγ, where hadronic recoil system Xs is reconstructed, was investigated using pseudoreconstruction technique. Negligible contamination from b → dγ decays was observed, which were expected to have larger CP asymmetry. The qq̄ and ...

2004

Video Representation Using Greedy Approximations Over Redundant Parametric Dictionaries

Michel Bierlaire, Pierre Vandergheynst, Oscar Divorra Escoda

In this work, we explore a framework for the sparse representation of video sequences by means of spatio-temporal functions able to exploit the 2D nature of images as well as the temporal smoothness often associated to object trajectories. Decomposition ov ...

2004

Gaussian Processes for Machine Learning

Matthias Seeger

Gaussian processes (GPs) are natural generalisations of multivariate Gaussian random variables to infinite (countably or continuous) index sets. GPs have been applied in a large number of fields to a diverse range of ends, and very many deep theoretical an ...

World Scientific Publishing2004

Variational Information Maximization in Gaussian Channels

Recently, we introduced a simple variational bound on mutual information, that resolves some of the difficulties in the application of information theory to machine learning. Here we study a specific application to Gaussian channels. It is well known that ...

IDIAP2004

Hex-Splines: A Novel Spline Family for Hexagonal Lattices

Michaël Unser, Dimitri Nestor Alice Van De Ville, Thierry Blu

This paper proposes a new family of bivariate, non-separable splines, called hex-splines, especially designed for hexagonal lattices. The starting point of the construction is the indicator function of the Voronoi cell, which is used to define in a natural ...

IEEE2004