In the present contribution we tackle the problem of nonlinear independent component analysis by non-Euclidean Hebbian-like learning. Independent component analysis (ICA) and blind source separation originally were introduced as tools for the linear unmixing of the signals to detect the underlying sources. Hebbian methods became very popular and succesfully in this context. Many nonlinear ICA e...

We are interested in the discretization of parabolic equations, either linear or semilinear, by an implicit Euler scheme with respect to the time variable and finite elements with respect to the space variables. The main result of this paper consists of building error indicators with respect to both time and space approximations and proving their equivalence with the error, in order to work wit...

The aim of this paper is to show that, for a linear second-order hyperbolic equation discretized by the backward Euler scheme in time and continuous piecewise linear finite elements in space, the adaptation of the time steps can be combined with spatial mesh adaptivity in an optimal way. We derive a priori and a posteriori error estimates which admit, as much as it is possible, the decoupling o...

Résumé. L'orientation service est un paradigme qui permet l'unification dans les approches d'intégration des systèmes d'information. Il inclut l’intégration des données de part la description sémantique des données manipulées par les services. Cette intégration « implicite » des données est plus souple vu le nombre limité des concepts utilisés par les services. Ceci nous a donc conduit à propos...

An attractive feature of discontinuous Galerkin (DG) spatial discretization is the possibility of using locally refined space grids to handle geometrical details. However, locally refined meshes lead to severe stability constraints on explicit integration methods to numerically solve a time-dependent partial differential equation. If the ratio of fine to coarse elements is small, the time step ...

customers extend robust trust to a business when they believe the business puts their interests first. good experience of banking services and recommendations of other customers can increase trust. loyalty and word of mouth (wom) is accepted as key factors successes of marketing. this paper seeks to discover the affecting factors on positive word of mouth and loyalty based on trust enhancement ...

Shape warping is a key problem in statistical shape analysis. This paper proposes a framework for geometric shape warping based on both shape distances and landmarks. Taking advantage of the recently proposed spatially coherent flows, our method is mathematically well-posed and uses only intrinsic shape information, namely some similarity measure between shapes and the correspondence of landmar...