Représenter l’espace sans en réduire la complexité est une préoccupation centrale du travail du cartographe. Commuting Scale tente de relever ce défi en proposant plusieurs manières de répondre cartographiquement à la même question: quel est l’espace des p ...
We show that if a smooth multiplicative subbundle S subset of T G on a groupoid G P is involutive and satisfies completeness conditions, then its leaf space G/S inherits a groupoid structure over the space of leaves of TP boolean AND S in P. As an applicat ...
The starting point for this project is the article of Kathryn Hess [11]. In this article, a homotopic version of monadic descent is developed. In the classical setting, one constructs a category D(𝕋) of coalgebras in the Eilenberg-Moore category of ...
This thesis is divided in four independent parts related to four different research projects. Each chapter describes one of the multiple aspects covered by organic chemistry, such as the generation of functional interfaces, understanding of biological proc ...
Let r and w be a fixed positive numbers, w < r. In a bold drawing of a graph, every vertex is represented by a disk of radius r, and every edge by a narrow rectangle of width w. We solve a problem of van Kreveld [K09] by showing that every graph admits a b ...
We provide upper and lower bounds on the escape rate of the Bhattacharyya process corresponding to polar codes where transmission takes place over the the binary erasure channel. More precisely, we bound the exponent of the number of sub-channels whose Bha ...
Classical list scheduling is a very popular and efficient technique for scheduling jobs in parallel platforms. However, with the increasing number of processors, the cost for managing a single centralized list becomes prohibitive. The objective of this wor ...
We present a new and computationally efficient scheme for classifying signals into a fixed number of known classes. We model classes as subspaces in which the corresponding data is well represented by a dictionary of features. In order to ensure low miscla ...
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A method and computer program for segmentation of an MRI image of tissue in presence of partial volume effects, include storing the MRI image in K-space representation as raw dataset, reconstructing N images, each represented by N sets of voxels and N sets ...