MOOC
Algèbre Linéaire (Deparis)
Publications associées (1 000)
Analytical Computation of the Sensitivity Coefficients in Hybrid AC/DC Networks
Mario Paolone, Willem Lambrichts
In this paper, we present a model for the analytical computation of the power flow sensitivity coefficients (SCs) for hybrid AC/DC networks. The SCs are defined as the partial derivates of the nodal voltages with respect to the active and reactive power in ...
2024Probabilistic and Deterministic Wellposedness for Low Regularity Dispersive Equations
Katie Sabrina Catherine Rosie Marsden
In this thesis we will present two results on global existence for nonlinear dispersive equations with data at or below the scaling regularity. In chapter 1 we take a probabilistic perspective to study the energy-critical nonlinear Schrödinger equation in ...
EPFL2024Isogeny Problems with Level Structure
Given two elliptic curves and the degree of an isogeny between them, finding the isogeny is believed to be a difficult problem—upon which rests the security of nearly any isogeny-based scheme. If, however, to the data above we add information about the beh ...
2024Learning the intrinsic dynamics of spatio-temporal processes through Latent Dynamics Networks
Alfio Quarteroni, Francesco Regazzoni, Stefano Pagani
Predicting the evolution of systems with spatio-temporal dynamics in response to external stimuli is essential for scientific progress. Traditional equations-based approaches leverage first principles through the numerical approximation of differential equ ...
Nature Portfolio2024Heterotopias and the History of Spaces
In this essay Georges Teyssot explores Michel Foucault’s notion of heterotopia as applied to architecture and its implications in terms of language, governance, and space. This analytical approach marked a significant shift in the late 1970s, redirecting a ...
2024Non-negative matrix factorization-aided phase unmixing and trace element quantification of STEM-EDXS data
Cécile Hébert, Duncan Thomas Lindsay Alexander, James Badro, Farhang Nabiei, Hui Chen
Energy-dispersive X-ray spectroscopy (EDXS) mapping with a scanning transmission electron microscope (STEM) is commonly used for chemical characterization of materials. However, STEM-EDXS quantification becomes challenging when the phases constituting the ...
Elsevier2024High-Dimensional Kernel Methods under Covariate Shift: Data-Dependent Implicit Regularization
This paper studies kernel ridge regression in high dimensions under covariate shifts and analyzes the role of importance re-weighting. We first derive the asymptotic expansion of high dimensional kernels under covariate shifts. By a bias-variance decomposi ...
2024Study of impurity C transport and plasma rotation in negative triangularity on the TCV tokamak
Olivier Sauter, Basil Duval, Stefano Coda, Benoît Labit, Alessandro Pau, Laurie Porte, Alexander Karpushov, Antoine Pierre Emmanuel Alexis Merle, Justin Richard Ball, Dmytry Mykytchuk, Filippo Bagnato
Carbon impurity transport is studied in the TCV tokamak using a charge exchange recombination diagnostic. TCVs flexible shaping capabilities were exploited to extend previous impurity transport studies to negative triangularity (delta < 0). A practical way ...
Iop Publishing Ltd2024Hybrid ground-state quantum algorithms based on neural Schrödinger forging
Giuseppe Carleo, Sofia Vallecorsa
Entanglement forging based variational algorithms leverage the bipartition of quantum systems for addressing ground-state problems. The primary limitation of these approaches lies in the exponential summation required over the numerous potential basis stat ...
Amer Physical Soc2024Global existence for perturbations of the 2D stochastic Navier-Stokes equations with space-time white noise
We prove global in time well-posedness for perturbations of the 2D stochastic Navier-Stokes equations partial derivative( t)u + u center dot del u = Delta u - del p + sigma + xi, u(0, center dot ) = u(0),div (u) = 0, driven by additive space-time white noi ...
London2024