Publications related to Standard basis

Randomized flexible GMRES with deflated restarting

For a high dimensional problem, a randomized Gram-Schmidt (RGS) algorithm is beneficial in computational costs as well as numerical stability. We apply this dimension reduction technique by random sketching to Krylov subspace methods, e.g. to the generaliz ...

Springer2024

SPEEDING UP KRYLOV SUBSPACE METHODS FOR COMPUTING f(A)b VIA RANDOMIZATION

Daniel Kressner, Alice Cortinovis

This work is concerned with the computation of the action of a matrix function f(A), such as the matrix exponential or the matrix square root, on a vector b. For a general matrix A, this can be done by computing the compression of A onto a suitable Krylov ...

Siam Publications2024

CFD-based analysis of pumped storage power plants implementing hydraulic short circuit operations

Elena Vagnoni, Alessandro Morabito

Hydraulic short circuit (HSC), corresponding to the simultaneous operation of the pumps and turbines, enhances the power flexibility of a pumped storage power plant (PSPP). However, comprehensive analyses are imperative to guarantee a secure and reliable o ...

Elsevier Sci Ltd2024

Dynamically Orthogonal Approximation for Stochastic Differential Equations

Fabio Nobile, Yoshihito Kazashi, Fabio Zoccolan

In this paper, we set the mathematical foundations of the Dynamical Low Rank Approximation (DLRA) method for high-dimensional stochastic differential equations. DLRA aims at approximating the solution as a linear combination of a small number of basis vect ...

2023

Spectral representation of EEG data using learned graphs with application to motor imagery decoding

Dimitri Nestor Alice Van De Ville, Hamid Behjat, Maliheh Miri

Electroencephalography (EEG) data entail a complex spatiotemporal structure that reflects ongoing organi-zation of brain activity. Characterization of the spatial patterns is an indispensable step in numerous EEG processing pipelines. We present a novel me ...

Oxford2023

A smooth basis for atomistic machine learning

Michele Ceriotti, Kevin Kazuki Huguenin-Dumittan, Filippo Bigi

Machine learning frameworks based on correlations of interatomic positions begin with a discretized description of the density of other atoms in the neighborhood of each atom in the system. Symmetry considerations support the use of spherical harmonics to ...

AIP Publishing2022

Optimal radial basis for density-based atomic representations

Michele Ceriotti, Sergey Pozdnyakov, Jigyasa Nigam, Félix Benedito Clément Musil, Alexander Jan Goscinski

The input of almost every machine learning algorithm targeting the properties of matter at the atomic scale involves a transformation of the list of Cartesian atomic coordinates into a more symmetric representation. Many of the most popular representations ...

AIP Publishing2021

Catch Me If You Can Designing a Disobedient Object to Protest Against GSM Surveillance

Félicien Michel Marie Goguey

In this article, I discuss the process of designing an object to protest against a specific surveillance device: the IMSI catcher, a controversial object used to monitor GSM networks. Being widely used in protests, I develop a tactical approach based on ob ...

ASSOC COMPUTING MACHINERY2021

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Standard basis

Randomized flexible GMRES with deflated restarting

SPEEDING UP KRYLOV SUBSPACE METHODS FOR COMPUTING f(A)b VIA RANDOMIZATION

CFD-based analysis of pumped storage power plants implementing hydraulic short circuit operations

Entre droit et injonction à la mobilité : discussion d'une motilité (italique) "raisonnable" comme ressource pour l'insertion professionnelle

Dynamically Orthogonal Approximation for Stochastic Differential Equations

Spectral representation of EEG data using learned graphs with application to motor imagery decoding

Effective field theory of the two Higgs doublet model

A smooth basis for atomistic machine learning

Optimal radial basis for density-based atomic representations

Catch Me If You Can Designing a Disobedient Object to Protest Against GSM Surveillance

Graph Chatbot

Chat with Graph Search

Randomized flexible GMRES with deflated restarting

Entre droit et injonction à la mobilité : discussion d'une motilité (italique) "raisonnable" comme ressource pour l'insertion professionnelle

SPEEDING UP KRYLOV SUBSPACE METHODS FOR COMPUTING f(A)b VIA RANDOMIZATION

A smooth basis for atomistic machine learning

Optimal radial basis for density-based atomic representations

CFD-based analysis of pumped storage power plants implementing hydraulic short circuit operations

Dynamically Orthogonal Approximation for Stochastic Differential Equations

Spectral representation of EEG data using learned graphs with application to motor imagery decoding

Effective field theory of the two Higgs doublet model

Catch Me If You Can Designing a Disobedient Object to Protest Against GSM Surveillance