Publications related to Uncertainty analysis for the steady-state flows in a dual throat nozzle

An Efficient Sampling Algorithm for Non-smooth Composite Potentials

We consider the problem of sampling from a density of the form p(x) ? exp(-f (x) - g(x)), where f : Rd-+ R is a smooth function and g : R-d-+ R is a convex and Lipschitz function. We propose a new algorithm based on the Metropolis-Hastings framework. Under ...

MICROTOME PUBL2022

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

Maria-Alexandra Paun

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

A critically degenerate elliptic Dirichlet problem, spectral theory and bifurcation

Charles Stuart

In an open, bounded subset Omega of R-N such that 0 is an element of Omega we consider the nonlinear eigenvalue problem -Sigma(N)(i,j,=1) partial derivative(i){A(ij)(x)partial derivative(j)u} + V(x)u + n(x,del u)+ g(x, u) = lambda u in Omega integral(Omega ...

2020

Gaplessness is not generic for translation-invariant spin chains

Marius Christopher Lemm

The existence of a spectral gap above the ground state has far-reaching consequences for the low-energy physics of a quantum many-body system. A recent work of Movassagh [R. Movassagh, Phys. Rev. Lett. 119, 220504 (2017)] shows that a spatially random loca ...

2019

Log Barriers for Safe Non-convex Black-box Optimization

Maryam Kamgarpour, Andreas Krause, Ilnura Usmanova

We address the problem of minimizing a smooth function f0(x) over a compact set D defined by smooth functional constraints fi(x)≤0, i=1,…,m given noisy value measurements of fi(x). This problem arises in safety-critical applications, where certain paramete ...

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

Characterization of input uncertainties in strategic energy planning models

Michel Bierlaire, François Maréchal, Stefano Moret, Victor Codina Gironès

Various countries and communities are defining strategic energy plans driven by concerns for climate change and security of energy supply. Energy models can support this decision-making process. The long-term planning horizon requires uncertainty to be acc ...

Elsevier Sci Ltd2017

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

Uncertainty analysis for the steady-state flows in a dual throat nozzle

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An Efficient Sampling Algorithm for Non-smooth Composite Potentials

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

A critically degenerate elliptic Dirichlet problem, spectral theory and bifurcation

Gaplessness is not generic for translation-invariant spin chains

Log Barriers for Safe Non-convex Black-box Optimization

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

Characterization of input uncertainties in strategic energy planning models

Solving Stochastic AC Power Flow via Polynomial Chaos Expansion

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

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

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

A critically degenerate elliptic Dirichlet problem, spectral theory and bifurcation

Gaplessness is not generic for translation-invariant spin chains

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

Solving Stochastic AC Power Flow via Polynomial Chaos Expansion

An Efficient Sampling Algorithm for Non-smooth Composite Potentials

Characterization of input uncertainties in strategic energy planning models

Log Barriers for Safe Non-convex Black-box Optimization