Download or read book Mod lisation de Grands R seaux de Neurones Par Processus de Hawkes written by Julien Chevallier and published by . This book was released on 2016 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: How does the brain compute complex tasks? Is it possible to create en artificial brain? In order to answer these questions, a key step is to build mathematical models for information processing in the brain. Hence this manuscript focuses on biological neural networks and their modelling. This thesis lies in between three domains of mathematics - the study of partial differential equations (PDE), probabilities and statistics - and deals with their application to neuroscience. On the one hand, the bridges between two neural network models, involving two different scales, are highlighted. At a microscopic scale, the electrical activity of each neuron is described by a temporal point process. At a larger scale, an age structured system of PDE gives the global activity. There are two ways to derive the macroscopic model (PDE system) starting from the microscopic one: by studying the mean dynamics of one typical neuron or by investigating the dynamics of a mean-field network of n neurons when n goes to infinity. In the second case, we furthermore prove the convergence towards an explicit limit dynamics and inspect the fluctuations of the microscopic dynamics around its limit. On the other hand, a method to detect synchronisations between two or more neurons is proposed. To do so, tests of independence between temporal point processes are constructed. The level of the tests are theoretically controlled and the practical validity of the method is illustrated by a simulation study. Finally, the method is applied on real data.

Download or read book R seaux de neurones pour la mod lisation et la conduite de proc d s written by and published by . This book was released on 1995 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book R seaux de neurones pour la mod lisation et la conduite de proc d s written by Jean-Pierre Corriou and published by . This book was released on 1995 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book RESEAUX D ONDELETTES ET RESEAUX DE NEURONES POUR LA MODELISATION STATIQUE ET DYNAMIQUE DE PROCESSUS written by YACINE.. OUSSAR and published by . This book was released on 1998 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: DURANT LES DIX DERNIERES ANNEES, LES RESEAUX DE NEURONES A FONCTIONS SIGMOIDALES ONT CONNU DE GRANDS SUCCES DANS DE NOMBREUX DOMAINES. ASSOCIES A DES ALGORITHMES D'APPRENTISSAGE EFFICACES, ILS CONSTITUENT UN PUISSANT OUTIL DE MODELISATION NON LINEAIRE DE PROCESSUS, GRACE A LEUR PROPRIETE D'APPROXIMATION UNIVERSELLE PARCIMONIEUSE. CE TRAVAIL DE THESE PROPOSE UNE MISE EN UVRE DE RESEAUX D'ONDELETTES, ALTERNATIVE POSSIBLE AUX RESEAUX DE NEURONES, POUR LA MODELISATION STATIQUE ET DYNAMIQUE. LES ONDELETTES SONT UNE FAMILLE DE FONCTIONS ISSUES DU TRAITEMENT DU SIGNAL ET DE L'IMAGE, DONT IL A ETE RECEMMENT MONTRE QU'ELLES POSSEDENT LA PROPRIETE D'APPROXIMATEUR UNIVERSEL. LA MISE EN UVRE DES RESEAUX D'ONDELETTES EST EFFECTUEE SUIVANT DEUX APPROCHES : - APPROCHE FONDEE SUR LA TRANSFORMEE CONTINUE: LES PARAMETRES DES FONCTIONS SONT A VALEURS CONTINUES DANS L'ENSEMBLE DES NOMBRES REELS ET PEUVENT DONC ETRE AJUSTES, COMME CEUX D'UN RESEAU DE NEURONES CLASSIQUE, A L'AIDE DE METHODES DE GRADIENT. NOUS PROPOSONS DES RESEAUX ET DES ALGORITHMES D'APPRENTISSAGE POUR LA MODELISATION ENTREE-SORTIE ET D'ETAT. LES RESULTATS OBTENUS SUR DES PROCESSUS SIMULES ET REEL MONTRENT QUE CES RESEAUX PERMETTENT D'OBTENIR DES MODELES DE PERFORMANCE ET DE PARCIMONIE EQUIVALENTES A CELLES DES RESEAUX DE NEURONES SI DES PRECAUTIONS DE MISE EN UVRE SONT PRISES. - APPROCHE FONDEE SUR LA TRANSFORMEE DISCRETE: LES PARAMETRES DES FONCTIONS ETANT A VALEURS DISCRETES, LES APPRENTISSAGES FONDES SUR DES METHODES DE GRADIENT NE SONT PAS APPLICABLES. NOUS PROPOSONS DE CONSTRUIRE DES RESEAUX PAR SELECTION D'ONDELETTES DANS UNE BIBLIOTHEQUE PRE-ETABLIE. CETTE PROCEDURE EST EGALEMENT UTILISEE POUR L'INITIALISATION DES PARAMETRES DES ONDELETTES AVANT LEUR APPRENTISSAGE. LES RESULTATS OBTENUS MONTRENT QUE LA PROCEDURE PROPOSEE CONFERE A L'APPRENTISSAGE UNE MEILLEURE INDEPENDANCE VIS-A-VIS DE L'INITIALISATION ALEATOIRE DES AUTRES PARAMETRES AJUSTABLES DU RESEAU.

Download or read book R seaux de neurones pour la mod lisation et la conduite de proc d s written by Société française de génie des procédés and published by . This book was released on 1995 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book R seaux d ondelettes et r seaux de neurones pour la mod lisation statique et dynamique de processus written by Yacine Oussar and published by . This book was released on 1998 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Les r seaux de neurones pour la mod lisation et la commande des proc d s biotechnologiques written by and published by . This book was released on 2000 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dans ce travail nous réalisons une étude sur l'utilisation de réseaux de neurones pour la modélisation, la classification et la prédiction appliquées aux procédés de fermentation. Les modèles de type boîte noire (et nous classifions ici les réseaux de neurones) sont utiles pour la modélisation des procédés ou des phénomènes pour lesquels des modèles analytiques ne peuvent pas être déduits à partir de considérations physiques. Parmi les avantages des modèles neuronaux par rapport aux autres modèles boîte noire, nous mentionnons le fait qu'ils sont des approximateurs universels, leurs fonctions de base sont adaptatives, leur structure répétitive permet une facile implémentation logicielle et matérielle et ils ont la propriété de la régularisation implicite. Ceux-ci, combinés avec les caractéristiques de procédés biologiques (procédés non-linéaires et non-stationnaires dont la dynamique et peu connue), fournissent la raison pour laquelle les réseaux de neurones sont un outil très apprécié pour la modélisation des procédés biologiques, ou des procédés de fermentation, dans notre cas. Nous avons donc utilisé des structures de modèles neuronaux déjà existants et proposé aussi de nouvelles structures pour les cas ciblés de fermentations alcoolique et lactique. Nous présentons deux approches pour la caractérisation de la dynamique d'un procédé de fermentation: la modélisation du taux de croissance en biomasse, le paramètre dynamique principal du procédé et la caractérisation globale du type de la dynamique du procédé à l'aide d'un classifieur neuronal. Les deux approches sont testées en simulation et sur des données expérimentales pour une fermentation lactique et une fermentation alcoolique. La caractérisation globale de la dynamique d'un procédé de fermentation représente un outil potentiel pour la supervision des procédés en détectant les changements dans la dynamique du système où une aide à la modélisation des procédés de fermentation en mode discontinu. Nous avons considéré aussi la prédiction de la biomasse pour une fermentation en mode continu et les modèles neuronaux de prédiction ont été testés dans une stratégie de commande prédictive. Les résultats sont comparés avec la même stratégie prédictive mais utilisant une approche adaptative et l'approche neuronale a un succès incontestable pour les cas ou la dynamique du procédé change dans le temps. Finalement nous nous sommes intéressés à la prédiction du quotient respiratoire, proposant un modèle neuronal de prédiction. Il est réalisé en vue d'une commande prédictive du procédé pour la maintenance d'un certain régime de fonctionnement (oxydatif ou fermentaire).

Download or read book Les r seaux de neurones pour la mod lisation et le contr le du proc d d vaporation written by Michel Benne and published by . This book was released on 2010 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ce travail de recherche, consacré à la synthèse d'une commande prédictive à modèle neuronal du procédé d'évaporation en multiple - effets, s'inscrit dans la continuité des travaux menés au L.G.I. depuis plusieurs années. Le mémoire de thèse s'articule en cinq chapitres : le premier présente l'atelier d'évaporation dans la chaîne de fabrication du sucre, et les développements théoriques et expérimentaux nécessaires à l'identification d'un modèle dynamique du procédé. Le chapitre 2 pose les bases théoriques du transfert technologique que constitue l'application des réseaux de neurones pour la modélisation et le contrôle des procédés industriels. La première partie de ce transfert technologique, décrite dans le chapitre 3, concerne l'identification de modèles du procédé d'évaporation, à partir de données expérimentales issues des campagnes de mesure menées à la sucrerie de Bois Rouge de la Réunion en 1997 et 1998, et la simulation des modèles identifiés. Dans le chapitre 4, la problématique de l'autorisation du procédé, confrontée aux limites rencontrées par les schémas de régulation traditionnels, justifie la mise en oeuvre d'une stratégie de commande avancée. Cette démarche, qui constitue la deuxième partie du transfert technologique que nous avons entrepris, aboutit à la mise en oeuvre d'un schéma de commande prédictive mono variable basée sur un modèle à réseau de neurones, testé en simulation dans le chapitre 5. L'ensemble des résultats de simulation sont prometteurs, ce qui permet d'envisager l'implantation d'une stratégie similaire in situ dans les meilleurs délais.

Download or read book Stochastic Calculus of Variations in Mathematical Finance written by Paul Malliavin and published by Springer Science & Business Media. This book was released on 2006-02-25 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: Highly esteemed author Topics covered are relevant and timely

Download or read book Medical Image Computing and Computer Assisted Intervention MICCAI 2012 written by Nicholas Ayache and published by Springer. This book was released on 2012-08-28 with total page 645 pages. Available in PDF, EPUB and Kindle. Book excerpt: The three-volume set LNCS 7510, 7511, and 7512 constitutes the refereed proceedings of the 15th International Conference on Medical Image Computing and Computer-Assisted Intervention, MICCAI 2012, held in Nice, France, in October 2012. Based on rigorous peer reviews, the program committee carefully selected 252 revised papers from 781 submissions for presentation in three volumes. The third volume includes 79 papers organized in topical sections on diffusion imaging: from acquisition to tractography; image acquisition, segmentation and recognition; image registration; neuroimage analysis; analysis of microscopic and optical images; image segmentation; diffusion weighted imaging; computer-aided diagnosis and planning; and microscopic image analysis.

Download or read book Medical image computing and computer assisted intervention written by Nicholas Ayache and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Numerical Probability written by Gilles Pagès and published by Springer. This book was released on 2018-07-31 with total page 591 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a self-contained introduction to numerical methods in probability with a focus on applications to finance. Topics covered include the Monte Carlo simulation (including simulation of random variables, variance reduction, quasi-Monte Carlo simulation, and more recent developments such as the multilevel paradigm), stochastic optimization and approximation, discretization schemes of stochastic differential equations, as well as optimal quantization methods. The author further presents detailed applications to numerical aspects of pricing and hedging of financial derivatives, risk measures (such as value-at-risk and conditional value-at-risk), implicitation of parameters, and calibration. Aimed at graduate students and advanced undergraduate students, this book contains useful examples and over 150 exercises, making it suitable for self-study.

Download or read book Numerical Methods in Finance written by René Carmona and published by Springer Science & Business Media. This book was released on 2012-03-23 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical methods in finance have emerged as a vital field at the crossroads of probability theory, finance and numerical analysis. Based on presentations given at the workshop Numerical Methods in Finance held at the INRIA Bordeaux (France) on June 1-2, 2010, this book provides an overview of the major new advances in the numerical treatment of instruments with American exercises. Naturally it covers the most recent research on the mathematical theory and the practical applications of optimal stopping problems as they relate to financial applications. By extension, it also provides an original treatment of Monte Carlo methods for the recursive computation of conditional expectations and solutions of BSDEs and generalized multiple optimal stopping problems and their applications to the valuation of energy derivatives and assets. The articles were carefully written in a pedagogical style and a reasonably self-contained manner. The book is geared toward quantitative analysts, probabilists, and applied mathematicians interested in financial applications.

Download or read book Handbook of Numerical Analysis written by Philippe G. Ciarlet and published by Gulf Professional Publishing. This book was released on 1990 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Local Approximation Techniques in Signal and Image Processing written by Vladimir I︠A︡kovlevich Katkovnik and published by SPIE-International Society for Optical Engineering. This book was released on 2006 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with a wide class of novel and efficient adaptive signal processing techniques developed to restore signals from noisy and degraded observations. These signals include those acquired from still or video cameras, electron microscopes, radar, X-rays, or ultrasound devices, and are used for various purposes, including entertainment, medical, business, industrial, military, civil, security, and scientific. In many cases useful information and high quality must be extracted from the imaging. However, often raw signals are not directly suitable for this purpose and must be processed in some way. Such processing is called signal reconstruction. This book is devoted to a recent and original approach to signal reconstruction based on combining two independent ideas: local polynomial approximation and the intersection of confidence interval rule.

Download or read book Aspects of Mathematical Finance written by Marc Yor and published by Springer Science & Business Media. This book was released on 2008-02-13 with total page 83 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of essays is based on lectures given at the "Académie des Sciences" in Paris by internationally renowned experts in mathematical finance. The collection develops, in simple yet rigorous terms, some challenging topics such as risk measures, the notion of arbitrage, dynamic models involving fundamental stochastic processes like Brownian motion and Lévy processes. The book also features a description of the trainings of French financial analysts.

Download or read book Network Coding written by Khaldoun Al Agha and published by John Wiley & Sons. This book was released on 2012-12-27 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: Network coding, a relatively new area of research, has evolved from the theoretical level to become a tool used to optimize the performance of communication networks – wired, cellular, ad hoc, etc. The idea consists of mixing “packets” of data together when routing them from source to destination. Since network coding increases the network performance, it becomes a tool to enhance the existing protocols and algorithms in a network or for applications such as peer-to-peer and TCP. This book delivers an understanding of network coding and provides a set of studies showing the improvements in security, capacity and performance of fixed and mobile networks. This is increasingly topical as industry is increasingly becoming more reliant upon and applying network coding in multiple applications. Many cases where network coding is used in routing, physical layer, security, flooding, error correction, optimization and relaying are given – all of which are key areas of interest. Network Coding is the ideal resource for university students studying coding, and researchers and practitioners in sectors of all industries where digital communication and its application needs to be correctly understood and implemented. Contents 1. Network Coding: From Theory to Practice, Youghourta Benfattoum, Steven Martin and Khaldoun Al Agha. 2. Fountain Codes and Network Coding for WSNs, Anya Apavatjrut, Claire Goursaud, Katia Jaffrès-Runser and Jean-Marie Gorce. 3. Switched Code for Ad Hoc Networks: Optimizing the Diffusion by Using Network Coding, Nour Kadi and Khaldoun Al Agha. 4. Security by Network Coding, Katia Jaffrès-Runser and Cédric Lauradoux. 5. Security for Network Coding, Marine Minier, Yuanyuan Zhang and Wassim Znaïdi. 6. Random Network Coding and Matroids, Maximilien Gadouleau. 7. Joint Network-Channel Coding for the Semi-Orthogonal MARC: Theoretical Bounds and Practical Design, Atoosa Hatefi, Antoine O. Berthet and Raphael Visoz. 8. Robust Network Coding, Lana Iwaza, Marco Di Renzo and Michel Kieffer. 9. Flow Models and Optimization for Network Coding, Eric Gourdin and Jeremiah Edwards.