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On Gaussian Process based Koopman Operator

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Steerable Features for Statistical 3D Dendrite Detection

Michaël Unser, Pascal Fua, François Fleuret, François Aguet

Most state-of-the-art algorithms for filament detection in 3-D image-stacks rely on computing the Hessian matrix around individual pixels and labeling these pixels according to its eigenvalues. This approach, while very effective for clean data in which li ...

Springer2009

Steerable Features for Statistical 3D Dendrite Detection

Michaël Unser, Pascal Fua, François Fleuret, François Aguet, Germán González Serrano

2009

A Simple Alternative Derivation of the Expectation Correction Algorithm

Bertrand Mesot

The switching linear dynamical system (SLDS) is a popular model in time-series analysis. However, the complexity of inferring the state of the latent variables scales exponentially with the length of the time-series, resulting in many approximation strateg ...

2009

Roll waves in floods on inclines

The unstable nature of kinematic waves, resulting from outburst floods on steep inclines, is investigated theoretically using the shallow water equations. A numerical experiment is designed in order to efficiently perform a stability analysis. By analysing ...

Taylor and Francis2007

Second-order hyperbolic S.P.D.E.'s driven by homogeneous Gaussian noise on a hyperplane

Robert Dalang, Olivier Lévêque

We study a class of hyperbolic stochastic partial di®erential equations in Euclidean space, that includes the wave equation and the telegraph equation, driven by Gaussian noise concentrated on a hyperplane. The noise is assumed to be white in time but spat ...

2006

Scientific Computing with MATLAB and Octave

Alfio Quarteroni

This textbook is an introduction to Scientific Computing, in which several numerical methods for the computer solution of certain classes of mathematical problems are illustrated. The authors show how to compute the zeros or the integrals of continuous fun ...

Springer2006

Perceptual learning with spatial uncertainties

Michael Herzog, Thomas Otto

In perceptual learning, stimuli are usually assumed to be presented to a constant retinal location during training. However, due to tremor, drift, and microsaccades of the eyes, the same stimulus covers different retinal positions on sequential trials. Bec ...

Elsevier2006

Principal axes for structural fatigue

Jamie Paik, Xiao Wang

Recent advances in the analysis of joint seakeeping processes are applied to the accumulation of spectral fatigue cycles. The methods of cross co-spectral moments and techniques adopted from the determination of principal angles for seakeeping processes ar ...

2006

On Matrix Rigidity and the Complexity of Linear Forms

Mahdi Cheraghchi Bashi Astaneh

The rigidity function of a matrix is defined as the minimum number of its entries that need to be changed in order to reduce the rank of the matrix to below a given parameter. Proving a strong enough lower bound on the rigidity of a matrix implies a nontri ...

2005

Variational reconstruction of scalar and vector images from non-uniform samples

Muthuvel Arigovindan

We address the problem of reconstructing scalar and vector functions from non-uniform data. The reconstruction problem is formulated as a minimization problem where the cost is a weighted sum of two terms. The first data term is the quadratic measure of go ...

EPFL2005