Publications related to Theory and methodology for estimation and control of errors due to modeling, approximation, and uncertainty

Certification of the efficient random number generation technique based on single-photon detector arrays and time-to-digital converters

True random number generators (TRNGs) allow the generation of true random bit sequences, guaranteeing the unpredictability and perfect balancing of the generated values. TRNGs can be realised from the sampling of quantum phenomena, for instance, the detect ...

Hoboken2021

Deterministic error bounds for kernel-based learning techniques under bounded noise

Colin Neil Jones, Paul Scharnhorst, Emilio Maddalena

We consider the problem of reconstructing a function from a finite set of noise-corrupted samples. Two kernel algorithms are analyzed, namely kernel ridge regression and epsilon-support vector regression. By assuming the ground-truth function belongs to th ...

PERGAMON-ELSEVIER SCIENCE LTD2021

Modeling Supply Chain Disruptions: A Network Flow Approach

René Yves Glogg

Globalization, outsourcing and cost optimization have all contributed to increased supply chain vulnerability, yet our understanding of effective mitigation strategies remains limited. In our research, we study the effects of disruptions on supply chain ne ...

EPFL2021

Interleaved Weighted Round-Robin: A Network Calculus Analysis

Jean-Yves Le Boudec, Seyed Mohammadhossein Tabatabaee

Weighted Round-Robin (WRR) is often used, due to its simplicity, for scheduling packets or tasks. With WRR, a number of packets equal to the weight allocated to a flow can be served consecutively, which leads to a bursty service. Interleaved Weighted Round ...

IEICE-INST ELECTRONICS INFORMATION COMMUNICATION ENGINEERS2021

Convergence of random walks with Markovian cookie stacks to Brownian motion perturbed at extrema

Thomas Mountford

We consider one-dimensional excited random walks (ERWs) with i.i.d. Markovian cookie stacks in the non-boundary recurrent regime. We prove that under diffusive scaling such an ERW converges in the standard Skorokhod topology to a multiple of Brownian motio ...

2021

Adaptive algorithms for two fluids flows with anisotropic finite elements and order two time discretizations

Samuel Dubuis

This thesis is devoted to the derivation of a posteriori error estimates for the numerical approximation of fluids flows separated by a free surface. Based on these estimates, error indicators are introduced and adaptive algorithms are proposed to solve th ...

EPFL2020

Probabilistic small data global Well-Posedness of the energy-critical Maxwell-Klein-Gordon equation

Joachim Krieger

We establish probabilistic small data global well-posedness of the energy-critical Maxwell-Klein-Gordon equation relative to the Coulomb gauge for scaling super-critical random initial data. The proof relies on an induction on frequency procedure and a mod ...

2020

Interleaved Weighted Round-Robin: A Network Calculus Analysis

Jean-Yves Le Boudec, Seyed Mohammadhossein Tabatabaee

Weighted Round-Robin (WRR) is often used, due to its simplicity, for scheduling packets or tasks. With WRR, a number of packets equal to the weight allocated to a flow can be served consecutively, which leads to a bursty service. Interleaved Weighted Round ...

2020

Numerical Approximation Of Orthogonal Maps

Marco Picasso, Alexandre Caboussat, Dimitrios Gourzoulidis

Orthogonal maps are the solutions of the mathematical model of paper-folding, also called the origami problem. They consist of a system of first-order fully nonlinear equations involving the gradient of the solution. The Dirichlet problem for orthogonal ma ...

2019

Rational Krylov for Stieltjes matrix functions: convergence and pole selection

Stefano Massei

Evaluating the action of a matrix function on a vector, that is

x=f(\mathcal M)v

, is an ubiquitous task in applications. When

\mathcal M

is large, one usually relies on Krylov projection methods. In this paper, we provide effective choices for the pole ...

2019

Theory and methodology for estimation and control of errors due to modeling, approximation, and uncertainty

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Certification of the efficient random number generation technique based on single-photon detector arrays and time-to-digital converters

Deterministic error bounds for kernel-based learning techniques under bounded noise

Modeling Supply Chain Disruptions: A Network Flow Approach

Interleaved Weighted Round-Robin: A Network Calculus Analysis

Convergence of random walks with Markovian cookie stacks to Brownian motion perturbed at extrema

Adaptive algorithms for two fluids flows with anisotropic finite elements and order two time discretizations

Probabilistic small data global Well-Posedness of the energy-critical Maxwell-Klein-Gordon equation

Interleaved Weighted Round-Robin: A Network Calculus Analysis

Numerical Approximation Of Orthogonal Maps

Rational Krylov for Stieltjes matrix functions: convergence and pole selection

Interleaved Weighted Round-Robin: A Network Calculus Analysis

Modeling Supply Chain Disruptions: A Network Flow Approach

Convergence of random walks with Markovian cookie stacks to Brownian motion perturbed at extrema

Rational Krylov for Stieltjes matrix functions: convergence and pole selection

Deterministic error bounds for kernel-based learning techniques under bounded noise

Certification of the efficient random number generation technique based on single-photon detector arrays and time-to-digital converters

Interleaved Weighted Round-Robin: A Network Calculus Analysis

Probabilistic small data global Well-Posedness of the energy-critical Maxwell-Klein-Gordon equation

Adaptive algorithms for two fluids flows with anisotropic finite elements and order two time discretizations

Numerical Approximation Of Orthogonal Maps