École doctorale de Mathématiques et Informatique (Bordeaux)

Overview
Works: 318 works in 319 publications in 2 languages and 466 library holdings 996, Editor, Degree grantor QA37.2, 510
Publication Timeline
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Most widely held works by École doctorale de Mathématiques et Informatique (Bordeaux)
Leçons de mathématiques d'aujourd'hui by Jean-Pierre Kahane( Book )

2 editions published between 2007 and 2012 in French and held by 100 WorldCat member libraries worldwide

Leçons de mathématiques d'aujourd'hui( Book )

1 edition published in 2010 in French and held by 49 WorldCat member libraries worldwide

Conception et analyse de schémas d'ordre très élevé distribuant le résidu application à la mécanique des fluides by Adam Larat( )

1 edition published in 2009 in French and held by 2 WorldCat member libraries worldwide

La simulation numérique est aujourd'hui un outils majeur dans la conception des objets aérodynamiques, que ce soit dans l'aéronautique, l'automobile, l'industrie navale, etc... Un des défis majeurs pour repousser les limites des codes de simulation est d'améliorer leur précision, tout en utilisant une quantité fixe de ressources (puissance et/ou temps de calcul). Cet objectif peut être atteint par deux approches différentes, soit en construisant une discrétisation fournissant sur un maillage donné une solution d'ordre très élevé, soit en construisant un schéma compact et massivement parallèlisable, de manière à minimiser le temps de calcul en distribuant le problème sur un grand nombre de processeurs. Dans cette thèse, nous tentons de rassembler ces deux approches par le développement et l'implémentation de Schéma Distribuant le Résidu (RDS) d'ordre très élevé et de compacité maximale. Ce manuscrit commence par un rappel des principaux résultats mathématiques concernant les Lois de Conservation hyperboliques (CLs). Le but de cette première partie est de mettre en évidence les propriétés des solutions analytiques que nous cherchons à approcher, de manière à injecter ces propriétés dans celles de la solution discrète recherchée. Nous décrivons ensuite les trois étapes principales de la construction d'un schéma RD d'ordre très élevé : - la représentation polynomiale d'ordre très élevé de la solution sur des polygones et des polyèdres; - la description de méthodes distribuant le résidu de faible ordre, compactes et conservatives, consistantes avec une représentation polynomiale des données de très haut degré. Parmi elles, une attention particulière est donnée à la plus simple, issue d'une généralisation du schéma de Lax-Friedrichs (\LxF); - la mise en place d'une procédure préservant la positivité qui transforme tout schéma stable et linéaire, en un schéma non linéaire d'ordre très élevé, capturant les chocs de manière non oscillante. Dans le manuscrit, nous montrons que les schémas obtenus par cette procédure sont consistants avec la CL considérée, qu'ils sont stables en norme $\L^{\infty}$ et qu'ils ont la bonne erreur de troncature. Même si tous ces développements théoriques ne sont démontrés que dans le cas de CLs scalaires, des remarques au sujet des problèmes vectoriels sont faites dès que cela est possible. Malheureusement, lorsqu'on considère le schéma \LxF, le problème algébrique non linéaire associé à la recherche de la solution stationnaire est en général mal posé. En particulier, on observe l'apparition de modes parasites de haute fréquence dans les régions de faible gradient. Ceux-ci sont éliminés grâce à un terme supplémentaire de stabilisation dont les effets et l'évaluation numérique sont précisément détaillés. Enfin, nous nous intéressons à une discrétisation correcte des conditions limites pour le schéma d'ordre élevé proposé. Cette théorie est ensuite illustrée sur des cas test scalaires bidimensionnels simples. Afin de montrer la généralité de notre approche, des maillages composés uniquement de triangles et des maillages hybrides, composés de triangles et de quandrangles, sont utilisés. Les résultats obtenus par ces tests confirment ce qui est attendu par la théorie et mettent en avant certains avantages des maillages hybrides. Nous considérons ensuite des solutions bidimensionnelles des équations d'Euler de la dynamique des gaz. Les résultats sont assez bons, mais on perd les pentes de convergence attendues dès que des conditions limite de paroi sont utilisées. Ce problème nécessite encore d'être étudié. Nous présentons alors l'implémentation parallèle du schéma. Celle-ci est analysée et illustrée à travers des cas test tridimensionnel de grande taille
Polynominalité des coefficients de structures des algèbres de doubles-classes by Omar Tout( )

1 edition published in 2014 in French and held by 1 WorldCat member library worldwide

In this thesis we studied the structure coefficients and especially their dependence on n in the case of a sequence of double-class algebras. The first chapter is dedicated to the study of the structure coefficients in the general cases of centers of group algebras and double-class algebras. We recall in it the representation theory of finite groups and its link with structure coefficients. We show also that the study of the structure coefficients of double-class algebras is related to the theory of Gelfand pairs and zonal spherical functions by giving, in the case of Gelfand pairs, a theorem similar to that of Frobenius which writes the structure coefficients of the double-class algebra associated to a Gelfand pair in terms of zonal spherical functions. In the second chapter, we recall the Farahat and Higman's theorem about the polynomiality of the structure coefficients of the center of the symmetric group algebra as well as the Ivanov and Kerov's approach to prove this theorem. We give a combinatorial proof to the polynomiality property of the structure coefficients of the Hecke algebra of thepair (S2n, Bn) in the third chapter. Our proof uses a universal algebra which projects on the Hecke algebra of (S2n, Bn) for each n. We show that this universal algebra is isomorphic to the algebra of 2-shifted symmetric functions. In the fourth and last chapter we build a general framework which gives us the form of the structure coefficients in the case of a sequence of double-class algebras. This framework implies the polynomiality property of the structure coefficients of both the center of the symmetric group algebra and the Hecke algebra of (S2n, Bn). In addition, we give a polynomiality property for the structure coefficients of both the center of the hyperoctahedral group algebra and the double-class algebra of diag (Sn-1) in Sn x Sopp n-1
Analysis, structure and organization of complex networks by Faraz Zaidi( )

1 edition published in 2010 in English and held by 1 WorldCat member library worldwide

La Science des réseaux est apparue comme un domaine d'étude fondamental pour modéliser un grand nombre de systèmes synthétiques ou du monde réel.La découverte du graphe petit monde et du graphe sans échelle dans ces réseaux a révolutionné la façon d'étudier, d'analyser, de modéliser et de traiter ces réseaux. Dans cette thèse, nous nous intéressons à l'étude des réseaux ayant ces propriétés et souvent qualifiés de réseaux complexes.A notre avis, les recherches menées dans ce domaine peuvent être regroupées en quatre catégories: l'analyse, la structure, le processus/organisation et la visualisation.Nous abordons des problèmes relatifs à chacune de ces catégories tout au long de cette thèse. (...)
Contrôle de la dynamique de la leucémie myéloïde chronique par Imatinib by Chahrazed Benosman( )

1 edition published in 2010 in French and held by 1 WorldCat member library worldwide

Modelling hematopoiesis represents a feature of our research. Hematopoietic stem cells (HSC) are undifferentiated cells, located in bone marrow, with unique abilities of self-renewal and differentiation (production of white cells, red blood cells and platelets).The process of hematopoiesis often exhibits abnormalities causing hematological diseases. In modelling Chronic Myeloid Leukemia (CML), a frequent hematological disease, we represent hematopoiesis of normal and leukemic cells by means of ordinary differential equations (ODE). Homeostasis of normal and leukemic cells are supposed to be different and depend on some lines of normal and leukemic HSC. We analyze the global dynamics of the model to obtain the conditions for regeneration of hematopoiesis and persistence of CML. We prove as well that normal and leukemic cells can not coexist for a long time. Imatinib is the main treatment of CML, with posology varying from 400 to 1000 mg per day. Some affected individuals respond to therapy with various levels being hematologic, cytogenetic and molecular. Therapy fails in two cases: the patient takes a long time to react, then suboptimal response occurs; or the patient resists after an initial response. Determining the optimal dosage required to reduce leukemic cells is another challenge. We approach therapy effects as an optimal control problem to minimize the cost of treatment and the level of leukemic cells. Suboptimal response, resistance and recovery forms are obtained through the influence of imatinib onto the division and mortality rates of leukemic cells. Hematopoiesis can be investigated according to age of cells. An age-structured system, describing the evolution of normal and leukemic HSC shows that the division rate of leukemic HSC plays a crucial role when determining the optimal control. When controlling the growth of cells under interspecific competition within normal and leukemic HSC, we prove that optimal dosage is related to homeostasis of leukemic HSC
Approximation numérique sur maillage cartésien de lois de conservation écoulements compressibles et élasticité non linéaire by Yannick Gorsse( )

1 edition published in 2012 in French and held by 1 WorldCat member library worldwide

We are interested in numerical simulation of compressible flows with interfaces. Theses interfaces can separatea fluid and a rigid solid, two fluids with differents constitutive law, or a fluid and an elastic solid. First, we havedevelopped an immersed boundary method to impose precisely a non penetration condition at the border of anobstacle. Then, a sharp interface method for compressible multimaterials have been studied and validated. Theimmersed boundary method of the first part is applied in this context
Contribution à la modélisation de l'écoulement dans un compresseur centrifuge et développement de critères d'optimisation by Paul Le Sausse( )

1 edition published in 2014 in French and held by 1 WorldCat member library worldwide

This thesis is the result of a partnership between the company Johnson Controls and the university Bordeaux1. The objective is part of a project to develop innovative heat pump and involves the design of a high head centrifugal compressor. To do this, a numerical model is created to simulate the flow in this kind of compressor. To observe industriel deadlines, a first geometry was established by iterative changes of various parameters in analysing induced effiencies. The flow was then studied further, especially to better understand the onset of flow separation. Finally, a study of unsteady flow in the diffuser was performed. Beyond the physical phenomena investigated and comprehended during this process, it is firstly a methodology that values this work
Securing wireless sensor and vehicular networks by Wafa Ben Jaballah( )

1 edition published in 2014 in English and held by 1 WorldCat member library worldwide

Mise au point d'un formalisme syntaxique de haut niveau pour le traitement automatique des langues by Jerome Kirman( )

1 edition published in 2015 in French and held by 1 WorldCat member library worldwide

The goal of computational linguistics is to provide a formal account linguistical knowledge, and to produce algorithmic tools for natural languageprocessing. Often, this is done in a so-called generative framework, where grammars describe sets of valid sentences by iteratively applying some set of rewrite rules. Another approach, based on model theory, describes instead grammaticality as a set of well-formedness logical constraints, relying on deep links between logic and automata in order to produce efficient parsers. This thesis favors the latter approach. Making use of several existing results in theoretical computer science, we propose a tool for linguistical description that is both expressive and designed to facilitate grammar engineering. It first tackles the abstract structure of sentences, providing a logical language based on lexical properties of words in order to concisely describe the set of grammaticaly valid sentences. It then draws the link between these abstract structures and their representations (both in syntax and semantics), through the use of linearization rules that rely on logic and lambda-calculus. Then in order to validate this proposal, we use it to model various linguistic phenomenas, ending with a specific focus on languages that include free word order phenomenas (that is, sentences which allow the free reordering of some of their words or syntagmas while keeping their meaning), and on their algorithmic complexity
Circular coloring and acyclic choosability of graphs by Nicolas Roussel( )

1 edition published in 2009 in English and held by 1 WorldCat member library worldwide

In this thesis, we study the circular coloring of planar graphs. Upper bounds have been given for graphs with bounded maximum degree, with bounded girth, that is the length of its smallest cycle, with missing cycles, and so on. It has also been studied for graphs with bounded maximum average degree. Here we give new upper bounds for that latter case. We also study the total coloring and ($d,1$)-total labeling of a few infinite families of graphs and describe the new concept of circular ($d,1$)-total labeling of graphs. In the last part, we will discuss conditions for a planar graph to be acyclically $4$-choosable
Dépendances fonctionnelles extraction et exploitation by Eve Garnaud( )

1 edition published in 2013 in French and held by 1 WorldCat member library worldwide

Les dépendances fonctionnelles fournissent une information sémantique sur les données d'une table en mettant en lumière les liens de corrélation qui les unient. Dans cette thèse, nous traitons du problème de l'extraction de ces dépendances en proposant un contexte unifié permettant la découverte de n'importe quel type de dépendances fonctionnelles (dépendances de clé, dépendances fonctionnelles conditionnelles, que la validité soit complète ou approximative). Notre algorithme, ParaCoDe, s'exécute en parallèle sur les candidats, réduisant ainsi le temps global de calcul. De ce fait, il est très compétitif vis-à-vis des approches séquentielles connues à ce jour. Les dépendances satisfaites sur une table nous servent à résoudre le problème de la matérialisation partielle du cube de données. Nous présentons une caractérisation de la solution optimale dans laquelle le coût de chaque requête est borné par un seuil de performance fixé préalablement et dont la taille est minimale. Cette spécification de la solution donne un cadre unique pour décrire et donc comparer formellement les techniques de résumé de cubes de données
Analysis of 3D objects at multiple scales application to shape matching by Nicolas Mellado( )

1 edition published in 2012 in English and held by 1 WorldCat member library worldwide

Over the last decades, the evolution of acquisition techniques yields the generalization of detailed 3D objects, represented as huge point sets composed of millions of vertices. The complexity of the involved data often requires to analyze them for the extraction and characterization of pertinent structures, which are potentially defined at multiple scales. Amongthe wide variety of methods proposed to analyze digital signals, the scale-space analysis istoday a standard for the study of 2D curves and images. However, its adaptation to 3D dataleads to instabilities and requires connectivity information, which is not directly availablewhen dealing with point sets.In this thesis, we present a new multi-scale analysis framework that we call the GrowingLeast Squares (GLS). It consists of a robust local geometric descriptor that can be evaluatedon point sets at multiple scales using an efficient second-order fitting procedure. We proposeto analytically differentiate this descriptor to extract continuously the pertinent structuresin scale-space. We show that this representation and the associated toolbox define an effi-cient way to analyze 3D objects represented as point sets at multiple scales. To this end, we demonstrate its relevance in various application scenarios.A challenging application is the analysis of acquired 3D objects coming from the CulturalHeritage field. In this thesis, we study a real-world dataset composed of the fragments ofthe statues that were surrounding the legendary Alexandria Lighthouse. In particular, wefocus on the problem of fractured object reassembly, consisting of few fragments (up to aboutten), but with missing parts due to erosion or deterioration. We propose a semi-automaticformalism to combine both the archaeologist's knowledge and the accuracy of geometricmatching algorithms during the reassembly process. We use it to design two systems, andwe show their efficiency in concrete cases
Quelques problèmes de dynamique linéaire dans les espaces de Banach by Jean-Matthieu Augé( )

1 edition published in 2012 in French and held by 1 WorldCat member library worldwide

This work is mainly devoted to some problems of linear dynamics in Banach spaces. In particular, we answer a recent question of Hajek and Smith by constructing, in any separable Banach space, a bounded operator such that its orbits tending to infinity form a set which is neither empty, nor dense. We also connect the behaviour of bounded operators with the asymptotic modulus of smoothness
Analyse semi-classique des opérateurs périodiques perturbés by Youssef Sbai( )

1 edition published in 2015 in French and held by 1 WorldCat member library worldwide

This Ph.D thesis deals with some spectral properties of two specific classes of two periodic operators. We are firstly interested in the model periodic perturbed by operator depending on a small semi-classical constant. We obtain an asymptotic behavior of the eigenvalue counting function in the spectral gaps with scharp remainder estimate. The second model studied in this thesis is a two-dimensional periodic elliptic second order opera-tor perturbed by operator depending on a large coupling constant. We also give the description of the counting function of eigenvalues when the coupling constant tends to infinity. The last part of this thesis highlights the study the spectrum of a Schrödinger operator perturbed by a fast oscillatingdecaying potential depending on a small parameter
Réduction de dimension en apprentissage supervisé applications à l'étude de l'activité cérébrale by Laurent Vezard( )

1 edition published in 2013 in French and held by 1 WorldCat member library worldwide

The aim of this work is to develop a method able to automatically determine the alertness state of humans. Such a task is relevant to diverse domains, where a person is expected or required to be in a particular state. For instance, pilots, security personnel or medical personnel are expected to be in a highly alert state, and this method could help to confirm this or detect possible problems. In this work, electroencephalographic data (EEG) of 58 subjects in two distinct vigilance states (state of high and low alertness) were collected via a cap with $58$ electrodes. Thus, a binary classification problem is considered. In order to use of this work on a real-world applications, it is necessary to build a prediction method that requires only a small number of sensors (electrodes) in order to minimize the time needed by the cap installation and the cap cost. During this thesis, several approaches have been developed. A first approach involves use of a pre-processing method for EEG signals based on the use of a discrete wavelet decomposition in order to extract the energy of each frequency in the signal. Then, a linear regression is performed on the energies of some of these frequencies and the slope of this regression is retained. A genetic algorithm (GA) is used to optimize the selection of frequencies on which the regression is performed. Moreover, the GA is used to select a single electrode .A second approach is based on the use of the Common Spatial Pattern method (CSP). This method allows to define linear combinations of the original variables to obtain useful synthetic signals for the task classification. In this work, a GA and a sequential search method have been proposed to select a subset of electrode which are keep in the CSP calculation.Finally, a sparse CSP algorithm, based on the use of existing work in the sparse principal component analysis, was developed.The results of the different approaches are detailed and compared. This work allows us to obtaining a reliable model to obtain fast prediction of the alertness of a new individual
Extraction des utilisations typiques à partir de données hétérogènes en vue d'optimiser la maintenance d'une flotte de véhicules by Asma Ben Zakour( )

1 edition published in 2012 in French and held by 1 WorldCat member library worldwide

The present work is part of an industrial project driven by 2MoRO Solutions company.It aims to develop a high value service enabling aircraft operators to optimize their maintenance actions.Given the large amount of data available around aircraft exploitation, we aim to analyse the historical events recorded with each aircraft in order to extract maintenance forecasting. Theresults are used to integrate and consolidate maintenance tasks in order to minimize aircraft downtime and risk of failure. The proposed method involves three steps : (i) streamlining information in order to combinethem, (ii) organizing this data for easy analysis and (iii) an extraction step of useful knowledgein the form of interesting sequences. [...]
Opérateurs de composition sur les espaces de fonctions holomorphes de plusieurs variables complexes universalité dans les espaces de Banach et de Fréchet by Stéphane Charpentier( )

1 edition published in 2010 in French and held by 1 WorldCat member library worldwide

In the first part of my thesis, a result on the existence of a closed infinite-dimensional subspace, whose non-zero elements are universal series, is given in Banach and Fréchet spaces framework.The second part is devoted to the study of composition operators on spaces of several variables analytic functions. First, the spectrum and the dynamics of hyperbolic composition operators acting on Hardy spaces on the ball are completely described.Second, continuity and compactness of composition operators on Hardy-Orlicz and Bergman-Orlicz spaces on the ball are characterized. In particular, we deduce from the treatment of the continuity that there exists a class of Orlicz functions which define Hardy-Orlicz and Bergman-Orlicz spaces, on which every composition operator is bounded
Les systèmes cognitifs dans les réseaux autonomes une méthode d'apprentissage distribué et collaboratif situé dans le plan de connaissance pour l'auto-adaptation by Maïssa Mbaye( )

1 edition published in 2009 in French and held by 1 WorldCat member library worldwide

One of the major challenges for decades to come, in the field of information technologies and the communication, is realization of autonomic paradigm. It aims to enable network equipments to self-manage, enable them to self-configure, self-optimize, self-protect and self-heal according to high-level objectives of their designers. Major architectures of autonomic networking are based on closed control loop allowing self-adapting (self-configuring and self-optimizing) of the network equipment according to the events which arise on their environment. Knowledge plane is one approach, very emphasis these last years by researchers, which suggests the use of the cognitive systems (machine learning and the reasoning) to realize closed control loop. However, although the major autonomic architectures integrate machine learning modules as functional block, few researches are really interested in the contents of these blocks. It is in this context that we made a study on the potential contribution machine learning and proposed a method of distributed and collaborative machine learning. We propose a formalization self-adapting problem in term of learning configuration strategies (state-actions) problem. This formalization allows us to define a strategies machine learning method for self-adapting which is based on the history observed transitions and uses inductive logic programming to discover new strategies from those already discovered. We defined, also a knowledge sharing algorithm which makes network components collaborate to improve learning process. Finally, we tested our approach in DiffServ context and showed its transposition on multimedia streaming in 802.11 wireless networks
Segmentation spatio-temporelle et indexation vidéo dans le domaine des représentations hiérarchiques by Claire Morand( )

1 edition published in 2009 in French and held by 1 WorldCat member library worldwide

This thesis aims at proposing a solution of scalable object-based indexing of HD video flow compressed by MJPEG2000. In this context, on the one hand, we work in the hierarchical transform domain of the 9/7 Daubechies' wavelets and, on the other hand, the scalable representation implies to search for multiscale methods, from low to high resolution. The first part of this manuscript is dedicated to the definition of a method for automatic extraction of objects having their own motion. It is based on a combination of a robust global motion estimation with a morphological color segmentation at low resolution. The obtained result is then refined following the data order of the scalable flow. The second part is the definition of an object descriptor which is based on the multiscale histograms of the wavelet coefficients. Finally, the performances of the proposed method are evaluated in the context of scalable content-based queries

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Alternative Names
École doctorale 039

École doctorale 39

École doctorale de Mathématiques et Informatique (Talence ; Gironde)

École doctorale Mathématiques et Informatique (Bordeaux)

École doctorale Mathématiques et Informatique (Talence ; Gironde)

ED 039

ED 39

ED039

ED39

Mathématiques et Informatique (Bordeaux)

Mathématiques et Informatique (Talence ; Gironde)

Université Bordeaux I. UFR de Mathématiques et Informatique

Université de Bordeaux 1. École doctorale de Mathématiques et Informatique

Université de Bordeaux. École doctorale de Mathématiques et Informatique

Université de Bordeaux I, École doctorale de mathématiques et informatique

Languages
French (17)

English (4)