Concept
Pullback (differential geometry)
Related publications (11)
Structure-function coupling increases during interictal spikes in temporal lobe epilepsy: A graph signal processing study
Dimitri Nestor Alice Van De Ville, Maria Giulia Preti, Patric Hagmann
Objective: Structure-function coupling remains largely unknown in brain disorders. We studied this coupling during interictal epileptic discharges (IEDs), using graph signal processing in temporal lobe epilepsy (TLE). Methods: We decomposed IEDs of 17 pati ...
ELSEVIER IRELAND LTD2023Non-smooth solutions in incompressible fluid dynamics
This work is devoted to the study of the main models which describe the motion of incompressible fluids, namely the Navier-Stokes, together with their hypodissipative version, and the Euler equations. We will mainly focus on the analysis of non-smooth weak ...
EPFL2021Sparse approximation of multilinear problems with applications to kernel-based methods in UQ
We provide a framework for the sparse approximation of multilinear problems and show that several problems in uncertainty quantification fit within this framework. In these problems, the value of a multilinear map has to be approximated using approximation ...
2018MATHICSE Technical Report : Perturbation of higher-order singular values
Daniel Kressner, André Uschmajew
The higher-order singular values for a tensor of order d are defined as the singular values of the d different matricizations associated with the multilinear rank. When d≥3, the singular values are generally different for different matricizations but not c ...
MATHICSE2016Splitting the Smoothed Primal-Dual Gap: Optimal Alternating Direction Methods
We develop rigorous alternating direction optimization methods for a prototype constrained convex optimization template, which has broad applications in computational sciences. We build upon our earlier work on the model-based gap reduction (MGR) technique ...
Tech. Report. LIONS-EPFL (2015)2015Invariant Higher-Order Variational Problems II
Tudor Ratiu, François Gay-Balmaz
Motivated by applications in computational anatomy, we consider a second-order problem in the calculus of variations on object manifolds that are acted upon by Lie groups of smooth invertible transformations. This problem leads to solution curves known as ...
Springer Verlag2012L'équation de rappel
In this thesis we are interested in the following problem : given two differential k–forms g and f, most of the time they will be assumed closed, on what conditions can we pullback g to f by a map φ ? In other words we ask when it is possible to solve the ...
EPFL2011Metastable supersymmetry breaking in N=2 non-linear sigma-models
Claudio Scrucca, Jean-Claude Jacot
We perform a general study of the issue of metastability for supersymmetry-breaking vacua in theories with N=1 and N=2 global supersymmetry. This problem turns out to capture all the important qualitative features of the corresponding question in theories ...
Elsevier2010Geodesic flows on semidirect-product Lie groups: geometry of singular measure-valued solutions
The EPDiff equation (or dispersionless Camassa-Holm equation in 1D) is a well known example of geodesic motion on the Diff group of smooth invertible maps (diffeomorphisms). Its recent two-component extension governs geodesic motion on the semidirect produ ...
2009Wavelets on non-Euclidean manifolds
This dissertation investigates wavelets as a multiscale tool on non-Euclidean manifolds. The growing importance of using non-Euclidean manifolds as a geometric model for data comes from the diversity of the data collected. In this work we mostly deal with ...
EPFL2006