Concept

Compound Poisson distribution

Publications associées (67)

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We consider the reconstruction of multi-dimensional signals from noisy samples. The problem is formulated within the framework of the theory of continuous-domain sparse stochastic processes. In particular, we study the fractional Laplacian as the whitening ...

SampTA2013

The Analog Formulation of Sparsity Implies Infinite Divisibility and Rules Out Bernoulli-Gaussian Priors

Michaël Unser, Arash Amini, Ulugbek Kamilov

Motivated by the analog nature of real-world signals, we investigate continuous-time random processes. For this purpose, we consider the stochastic processes that can be whitened by linear transformations and we show that the distribution of their samples ...

Ieee2012

The Analog Formulation of Sparsity Implies Infinite Divisibility and Rules Out Bernoulli-Gaussian Priors

Michaël Unser, Azin Amini, Ulugbek Kamilov

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Stochastic dynamics of snow avalanche occurrence by superposition of Poisson processes

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We study the dynamics of systems with deterministic trajectories randomly forced by instantaneous discontinuous jumps occurring according to two different compound Poisson processes. One process, with constant frequency, causes instantaneous positive rando ...

Royal Soc2012

How to prove the Maxwell conjecture via spatial coupling — A proof of concept

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Investigations on spatially coupled codes have lead to the conjecture that, in the infinite size limit, the average input-output conditional entropy for spatially coupled low-density parity-check ensembles, over binary memoryless symmetric channels, equals ...

2012

How to Prove the Maxwell Conjecture Via Spatial Coupling - A Proof of Concept

Rüdiger Urbanke, Nicolas Macris, Andrei Giurgiu

Ieee2012

A Probabilistic Framework for Multiple Speaker Localization

This paper presents a novel probabilistic framework for localizing multiple speakers with a microphone array. In this framework, the generalized cross correlation function (GCC) of each microphone pair is interpreted as a probability distribution of the ti ...

Idiap2012

Elasto-static micropolar behavior of a chiral auxetic lattice

Alessandro Spadoni

Auxetic materials expand when stretched, and shrink when compressed. This is the result of a negative Poisson's ratio ν. Isotropic configurations with ν≈−1 have been designed and are expected to provide increased shear stiffness G. This assumes that Young' ...

Elsevier2012

Reoptimized interaction parameters for the peptide-backbone model compound N-methylacetamide in the GROMOS force field: Influence on the folding properties of two beta-peptides in methanol

Wei Huang, Bruno Araujo Cautiero Horta

Considering N-methylacetamide (NMA) as a model compound, new interaction parameters are developed for the amide function in the GROMOS force field that are compatible with the recently derived 53A6OXY parameter set for oxygen-containing chemical functions. ...

Wiley-Blackwell2012

Invariant generators for generalized distributions

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2011

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