Concept

Stable count distribution

Publications associées (32)

Left-inverses of fractional Laplacian and sparse stochastic processes

The fractional Laplacian (-Delta)(gamma/2) commutes with the primary coordination transformations in the Euclidean space Rd: dilation, translation and rotation, and has tight link to splines, fractals and stable Levy processes. For 0 < gamma < d, its inver ...

Springer2012

Rate Distortion Behavior of Sparse Sources

Martin Vetterli

The rate distortion behavior of sparse memoryless sources is studied. These serve as models of sparse signal representations and facilitate the performance analysis of "sparsifying" transforms like the wavelet transform and nonlinear approximation schemes. ...

Institute of Electrical and Electronics Engineers2012

Multi-level Spatial Modeling for Stochastic Distributed Robotic Systems

Alcherio Martinoli, Nicolaus Correll, Amanda Stella Markowska Prorok

We propose a combined spatial and non-spatial probabilistic modeling methodology motivated by an inspection task performed by a group of miniature robots. Our models explicitly consider spatiality and yield accurate predictions on system performance. An ag ...

2011

Adhesively bonded joints composed of pultruded adherends: considerations at the upper tail of material strength statistical distribution

Thomas Keller, Till Vallée

The Weibull distribution, used to describe the scaling of strength of materials, has been verified on a wide range of materials and geometries; however, the quality of the fitting tended to be less good towards the upper tail. Based on a previously develop ...

2009

Deconvolution of 3D fluorescence micrographs with automatic risk minimization

Michaël Unser, Cédric René Jean Vonesch, Sathish Ramani

We investigate the problem of automatic tuning of a deconvolution algorithm for three-dimensional (3D) fluorescence microscopy; specifically, the selection of the regularization parameter lambda. For this, we consider a realistic noise model for data obtai ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2008

An optimal prediction problem in financial modelling

Violetta Bernyk

The subject of the present thesis is an optimal prediction problem concerning the ultimate maximum of a stable Lévy process over a finite interval of time. Such "optimal prediction" problems are of both theoretical and practical interest, in particular the ...

EPFL2007

Wetting properties of flat-top periodically structured superhydrophobic surfaces

Laura Barbieri

In recent years, superhydrophobic surfaces have attracted a considerable amount of attention from the academic and industrial communities. This growing interest is mainly caused by the fundamental physico-chemical theoretical aspects that remain obscure an ...

EPFL2007

Transport at basin scales: 1. Theoretical framework

Andrea Rinaldo, Enrico Bertuzzo, Gianluca Botter

The paper describes the theoretical framework for a class of general continuous models of the hydrologic response including both flow and transport of reactive solutes. The approach orders theoretical results appeared in disparate fields into a coherent th ...

2006

A Laplace mixture model for the identification of differential expression in microarrays

Anthony Christopher Davison, Darlene Goldstein, Yann Ruffieux

Microarrays have become an important tool for studying the molecular basis of complex disease traits and fundamental biological processes. A common purpose of microarray experiments is the detection of genes that are differentially expressed under two cond ...

2006

A Complete Family of Scaling Functions: The (α, τ)-Fractional Splines

Michaël Unser, Thierry Blu

We describe a new family of scaling functions, the (α, τ)-fractional splines, which generate valid multiresolution analyses. These functions are characterized by two real parameters: α, which controls the width of the scaling functions; and τ, which specif ...

IEEE2003

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