Concept
Base orthonormée
Publications associées (167)
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 Publications2024Wandering principal optical axes in van der Waals triclinic materials
Nature is abundant in material platforms with anisotropic permittivities arising from symmetry reduction that feature a variety of extraordinary optical effects. Principal optical axes are essential characteristics for these effects that define light-matte ...
Nature Portfolio2024A Reduced Order Model for Domain Decompositions with Non-conforming Interfaces
Alfio Quarteroni, Andrea Manzoni
In this paper, we propose a reduced-order modeling strategy for two-way Dirichlet-Neumann parametric coupled problems solved with domain-decomposition (DD) sub-structuring methods. We split the original coupled differential problem into two sub-problems wi ...
New York2024Randomized 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 ...
Springer2024CFD-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 Ltd2024Plane Waves Versus Correlation-Consistent Basis Sets: A Comparison of MP2 Non-Covalent Interaction Energies in the Complete Basis Set Limit
Ursula Röthlisberger, Justin Villard, Martin Peter Bircher
Second-order Moller-Plesset perturbation theory (MP2) is the most expedient wave function-based method for considering electron correlation in quantum chemical calculations and, as such, provides a cost-effective framework to assess the effects of basis se ...
Washington2023Advancing Computational Chemistry with Stochastic and Artificial Intelligence Approaches
Computational chemistry aims to simulate reactions and molecular properties at the atomic scale, advancing the design of novel compounds and materials with economic, environmental, and societal implications. However, the field relies on approximate quantum ...
EPFL2023Spectral 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 ...
Oxford2023Dynamically 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 ...
2023DARE-GRAM : Unsupervised Domain Adaptation Regression by Aligning Inverse Gram Matrices
Unsupervised Domain Adaptation Regression (DAR) aims to bridge the domain gap between a labeled source dataset and an unlabelled target dataset for regression problems. Recent works mostly focus on learning a deep feature encoder by minimizing the discrepa ...
IEEE2023