(Co)-homologies généralisées des espaces $K(\Pi,1)$ et des formes sphériques

Espaces Des Formes Basés Sur Des Arbres : Définition Et Applications En Traitement D'images Et Vision Par Ordinateur

The classical framework of connected filters relies on the removal of some connected components of a graph. To apply those filters, it is often useful to transform an image into a component tree, and to prune the tree to simplify the original image. Those trees have some remarkable properties for computer vision. A first illustration of their usefulness is the proposition of a local feature det...

Approximations fonctionnelles des courbes des espaces projectifs

Dimensionalité intrinsèque dans les espaces de représentation des termes et des documents

Examining the properties of representation spaces for documents or words in IR (typically R with n large) brings precious insights to help the retrieval process. Recently, several authors have studied the real dimensionality of the datasets, called intrinsic dimensionality, in specific parts of these spaces (Houle et al., 2012a). In this paper, we propose to revisit this notion through a coeffi...

Topologies sur des Espaces Ordonnés

— Wefirst study the topological properties ofspaces of infinité words (or trees) when equipped with an already classical metric, where for example the distance between two trees is charac ter istic ofthe depth un til they are identicaL We then compare the continuityfor this me trie, and the "weak" continuity {where least upper bounds ofincreasing séquences arepreserved). A secondpart présents a...

Etude sur l'Agalaxic contagieuse des chèvres et des moutons