Publications related to Scheduling Reserved Traffic in Input-Queued Switches: New Delay Bounds via Probabilistic Techniques

Quadratic serendipity element shape functions on general planar polygons

This paper proposes a method for the construction of quadratic serendipity element (QSE) shape functions on planar convex and concave polygons. Existing approaches for constructing QSE shape functions are linear combinations of the pair-wise products of ge ...

ELSEVIER SCIENCE SA2022

Asymptotic Errors for Teacher-Student Convex Generalized Linear Models (Or: How to Prove Kabashima’s Replica Formula)

Florent Gérard Krzakala, Alia Abbara

There has been a recent surge of interest in the study of asymptotic reconstruction performance in various cases of generalized linear estimation problems in the teacher-student setting, especially for the case of i.i.d standard normal matrices. Here, we g ...

2022

Deep Boltzmann Machines: Rigorous Results at Arbitrary Depth

Emanuele Mingione, Diego Alberici

A class of deep Boltzmann machines is considered in the simplified framework of a quenched system with Gaussian noise and independent entries. The quenched pressure of a K-layers spin glass model is studied allowing interactions only among consecutive laye ...

2021

Convex Combination of Diffusion Strategies Over Networks

Ali H. Sayed, Jie Chen

Combining diffusion strategies with complementary properties enables enhanced performance when they can be run simultaneously. In this article, we first propose two schemes for the convex combination of two diffusion strategies, namely, the power-normalize ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2020

Functional Inverse Problems on Spheres: Theory, Algorithms and Applications

Matthieu Martin Jean-André Simeoni

Many scientific inquiries in natural sciences involve approximating a spherical field -namely a scalar quantity defined over a continuum of directions- from generalised samples of the latter (e.g. directional samples, local averages, etc). Such an approxim ...

EPFL2020

System-level, Input-output and New Parameterizations of Stabilizing Controllers, and Their Numerical Computation

Maryam Kamgarpour, Luca Furieri, Na Li

It is known that the set of internally stabilizing controller

\mathcal{C}_{\text{stab}}

is non-convex, but it admits convex characterizations using certain closed-loop maps: a classical result is the {Youla parameterization}, and two recent notions are t ...

2020

Numerical Modelling of Two-Phase Flow with Moving Boundary Fitted Meshes

Erik Gros

In this thesis, a computational approach is used to study two-phase flow including phase change by direct numerical simulation. This approach follows the interface with an adaptive moving mesh. The incompressible Navier-Stokes equations are solved, in tw ...

EPFL2018

Normal adhesive contact on rough surfaces: efficient algorithm for FFT-based BEM resolution

Jean-François Molinari, Guillaume Anciaux, Valentine Ginette Madeleine Rey

We introduce a numerical methodology to compute the solution of an adhesive normal contact problem on rough surfaces with the Boundary Element Method. Based on the Fast Fourier Transform and the Westergaard’s fundamental solution, the proposed algorithm en ...

2017

3D dynamic fragmentation with parallel dynamic insertion of cohesive elements

Jean-François Molinari, Nicolas Richart, Marco Vocialta

Dynamic fragmentation is a rapid and catastrophic failure of a material. During this process, the nucleation, propagation, branching, and coalescence of cracks results in the formation of fragments. The numerical modeling of this phenomenon is challenging ...

2017

Computation and Visualization in Multiscale Modelling of DNA Mechanics

Jaroslaw Glowacki

Amongst the substances found in any living organism one of the most central in the workings of each living cell is deoxyribonucleic acid (DNA). For that reason it has been the subject of research in many of its aspects. These range from DNA sequencing to a ...

EPFL2016

Scheduling Reserved Traffic in Input-Queued Switches: New Delay Bounds via Probabilistic Techniques

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Quadratic serendipity element shape functions on general planar polygons

Asymptotic Errors for Teacher-Student Convex Generalized Linear Models (Or: How to Prove Kabashima’s Replica Formula)

Deep Boltzmann Machines: Rigorous Results at Arbitrary Depth

Convex Combination of Diffusion Strategies Over Networks

Functional Inverse Problems on Spheres: Theory, Algorithms and Applications

System-level, Input-output and New Parameterizations of Stabilizing Controllers, and Their Numerical Computation

Numerical Modelling of Two-Phase Flow with Moving Boundary Fitted Meshes

Normal adhesive contact on rough surfaces: efficient algorithm for FFT-based BEM resolution

3D dynamic fragmentation with parallel dynamic insertion of cohesive elements

Computation and Visualization in Multiscale Modelling of DNA Mechanics

Functional Inverse Problems on Spheres: Theory, Algorithms and Applications

Convex Combination of Diffusion Strategies Over Networks

Numerical Modelling of Two-Phase Flow with Moving Boundary Fitted Meshes

Computation and Visualization in Multiscale Modelling of DNA Mechanics

Asymptotic Errors for Teacher-Student Convex Generalized Linear Models (Or: How to Prove Kabashima’s Replica Formula)

Deep Boltzmann Machines: Rigorous Results at Arbitrary Depth

System-level, Input-output and New Parameterizations of Stabilizing Controllers, and Their Numerical Computation

Normal adhesive contact on rough surfaces: efficient algorithm for FFT-based BEM resolution

3D dynamic fragmentation with parallel dynamic insertion of cohesive elements

Quadratic serendipity element shape functions on general planar polygons