Publications related to Design and Practical Use of Probabilistic Observers for Mass-Balance-Based Bioprocess Models

Towards Interactions Through Differentiable-Non-Differentiable Scale Transitions In Scale Relativity Theory

It is shown that, in the framework of Scale Relativity Theory, correlations of type informational entropy/cross entropy - probability density, in the description of the dynamics of any complex system, can be perceived as interactions. Explaining these inte ...

UNIV POLITEHNICA BUCHAREST, SCI BULL2021

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

Robert Dalang, Fei Pu

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

Compressed sensing with signal averaging for improved sensitivity and motion artifact reduction in fluorine-19 MRI

Tobias Kober, Tom Hilbert, Jérôme Yerly, Ruud van Heeswijk, Elena Najdenovska

Fluorine-19 (F-19) MRI of injected perfluorocarbon emulsions (PFCs) allows for the non-invasive quantification of inflammation and cell tracking, but suffers from a low signal-to-noise ratio and extended scan time. To address this limitation, we tested the ...

WILEY2020

Non-perturbative probability distribution function for cosmological counts in cells

Sergey Sibiryakov, Mikhail Ivanov

We present a non-perturbative calculation of the 1-point probability distribution function (PDF) for the spherically-averaged matter density field. The PDF is represented as a path integral and is evaluated using the saddle-point method. It factorizes into ...

IOP PUBLISHING LTD2019

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

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

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

Dimitri Nestor Alice Van De Ville

Diffuse correlation spectroscopy (DCS) is the technique of choice for non-invasive assessments of human bone blood flow. However, DCS classical algorithms are based on the fundamental assumption that the electric field of the light reaching the DCS photode ...

Optical Soc Amer2016

Distributionally Robust Multi-Item Newsvendor Problems with Multimodal Demand Distributions

Daniel Kuhn, Grani Adiwena Hanasusanto

We present a risk-averse multi-dimensional newsvendor model for a class of products whose demands are strongly correlated and subject to fashion trends that are not fully understood at the time when orders are placed. The demand distribution is known to be ...

Springer Verlag2015

Design and Practical Use of Probabilistic Observers for Mass-Balance-Based Bioprocess Models

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Towards Interactions Through Differentiable-Non-Differentiable Scale Transitions In Scale Relativity Theory

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

Compressed sensing with signal averaging for improved sensitivity and motion artifact reduction in fluorine-19 MRI

Non-perturbative probability distribution function for cosmological counts in cells

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

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

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

Distributionally Robust Multi-Item Newsvendor Problems with Multimodal Demand Distributions

Non-perturbative probability distribution function for cosmological counts in cells

Distributionally Robust Multi-Item Newsvendor Problems with Multimodal Demand Distributions

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

Towards Interactions Through Differentiable-Non-Differentiable Scale Transitions In Scale Relativity Theory

Compressed sensing with signal averaging for improved sensitivity and motion artifact reduction in fluorine-19 MRI

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

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