Publications related to Probability density function of the electric field in diffuse correlation spectroscopy of human bone in vivo

Optimal lower bounds on hitting probabilities for non-linear systems of stochastic fractional heat equations

We consider a system of d non-linear stochastic fractional heat equations in spatial dimension 1 driven by multiplicative d-dimensional space-time white noise. We establish a sharp Gaussian-type upper bound on the two-point probability density function of ...

ELSEVIER2021

On the density of the supremum of the solution to the linear stochastic heat equation

Robert Dalang, Fei Pu

We study the regularity of the probability density function of the supremum of the solution to the linear stochastic heat equation. Using a general criterion for the smoothness of densities for locally nondegenerate random variables, we establish the smoot ...

SPRINGER2020

Global turbulence features across marginality and non-local pedestal-core interactions

Olivier Sauter, Laurent Villard, Stephan Brunner, Emmanuel Lanti, Alberto Bottino, Ben McMillan, Noé Thomas Elie Ohana

Spatially non-local aspects of turbulent transport in tokamak plasmas are examined with global gyrokinetic simulations using the ORB5 code. Inspired by very accurate measurements in the TCV tokamak in L-mode, we initialise plasma profiles with constant log ...

2019

Statistical Aspects of Wasserstein Distances

Victor Panaretos, Yoav Zemel

Wasserstein distances are metrics on probability distributions inspired by the problem of optimal mass transportation. Roughly speaking, they measure the minimal effort required to reconfigure the probability mass of one distribution in order to recover th ...

ANNUAL REVIEWS2019

Detection of movement onset using EMG signals for upper-limb exoskeletons in reaching tasks

Silvestro Micera

BackgroundTo assist people with disabilities, exoskeletons must be provided with human-robot interfaces and smart algorithms capable to identify the user's movement intentions. Surface electromyographic (sEMG) signals could be suitable for this purpose, bu ...

BMC2019

Extracting the Critical Rooting Length in Plant Uprooting by Flow From Pullout Experiments

Paolo Perona, Giulio Calvani

The growth and establishment of riparian vegetation on river bedforms is of hydrological as well as ecological importance as it helps in enhancing spatial heterogeneity and thus the biodiversity of river corridors. Yet, during floods, flow drag and scourin ...

AGU2019

The stochastic heat equation: hitting probabilities and the probability density function of the supremum via Malliavin calculus

Fei Pu

In this thesis, we study systems of linear and/or non-linear stochastic heat equations and fractional heat equations in spatial dimension

1

driven by space-time white noise. The main topic is the study of hitting probabilities for the solutions to these ...

EPFL2018

Solving Stochastic AC Power Flow via Polynomial Chaos Expansion

Timm Faulwasser

The present contribution demonstrates the applicability of polynomial chaos expansion to stochastic (optimal) AC power flow problems that arise in the operation of power grids. For rectangular power flow, polynomial chaos expansion together with Galerkin p ...

IEEE2016

Learning Search Strategies from Human Demonstrations

Guillaume Pierre Luc De Chambrier

Decision making and planning with partial state information is a problem faced by all forms of intelligent entities. The formulation of a problem under partial state information leads to an exorbitant set of choices with associated probabilistic outcomes m ...

EPFL2016

Design and quality evaluation of micro-optical freeform beam shapers

Hans Peter Herzig, Daniel Infante Gómez

A method to generate thin micro-optical freeform (MOF) beam shapers by wrapping a much thicker freeform surface is provided. The influence of parameters such as the clipping factor q, the design wavelength and the spectrum of the light source into the qual ...

2016

Probability density function of the electric field in diffuse correlation spectroscopy of human bone in vivo

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Optimal lower bounds on hitting probabilities for non-linear systems of stochastic fractional heat equations

On the density of the supremum of the solution to the linear stochastic heat equation

Global turbulence features across marginality and non-local pedestal-core interactions

Statistical Aspects of Wasserstein Distances

Detection of movement onset using EMG signals for upper-limb exoskeletons in reaching tasks

Extracting the Critical Rooting Length in Plant Uprooting by Flow From Pullout Experiments

The stochastic heat equation: hitting probabilities and the probability density function of the supremum via Malliavin calculus

Solving Stochastic AC Power Flow via Polynomial Chaos Expansion

Learning Search Strategies from Human Demonstrations

Design and quality evaluation of micro-optical freeform beam shapers

On the density of the supremum of the solution to the linear stochastic heat equation

Detection of movement onset using EMG signals for upper-limb exoskeletons in reaching tasks

Optimal lower bounds on hitting probabilities for non-linear systems of stochastic fractional heat equations

The stochastic heat equation: hitting probabilities and the probability density function of the supremum via Malliavin calculus

Global turbulence features across marginality and non-local pedestal-core interactions

Statistical Aspects of Wasserstein Distances

Extracting the Critical Rooting Length in Plant Uprooting by Flow From Pullout Experiments

Solving Stochastic AC Power Flow via Polynomial Chaos Expansion

Learning Search Strategies from Human Demonstrations

Design and quality evaluation of micro-optical freeform beam shapers