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Dissertations / Theses on the topic 'Geometric theory probability'

Author: Grafiati

Published: 28 May 2022

Last updated: 31 July 2025

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1

Ma, Kin-Keung. "Infinite prefix codes for geometric distributions /." View abstract or full-text, 2004. http://library.ust.hk/cgi/db/thesis.pl?COMP%202004%20MA.

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Thesis (M. Phil.)--Hong Kong University of Science and Technology, 2004.<br>Includes bibliographical references (leaves 74-76). Also available in electronic version. Access restricted to campus users.

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Saive, Yannick. "DirCNN: Rotation Invariant Geometric Deep Learning." Thesis, KTH, Matematisk statistik, 2019. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-252573.

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Recently geometric deep learning introduced a new way for machine learning algorithms to tackle point cloud data in its raw form. Pioneers like PointNet and many architectures building on top of its success realize the importance of invariance to initial data transformations. These include shifting, scaling and rotating the point cloud in 3D space. Similarly to our desire for image classifying machine learning models to classify an upside down dog as a dog, we wish geometric deep learning models to succeed on transformed data. As such, many models employ an initial data transform in their mode

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3

Charmoy, Philippe H. A. "On the geometric and analytic properties of some random fractals." Thesis, University of Oxford, 2014. http://ora.ox.ac.uk/objects/uuid:a9bbee2c-9958-464a-ac9e-bb8c42e107ea.

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The heat content of a domain D of &Ropf;<sup>d</sup> is defined as</sp> < p >E(s) = ∫<sub>D</sub> u(s,x)dx, where u is the solution to the heat equation with zero initial condition and unit Dirichlet boundary condition. This thesis studies the behaviour of E(s) for small s with a particular emphasis on the case where $D$ is a planar domain whose boundary is a random Koch curve. When ∂D is spatially homogeneous, we show that we can recover the upper and lower Minkowski dimensions of ∂D from E(s). Furthermore, in some cases where the Minkowski dimension does exist, finer fluctuatio

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4

Ho, Pak-kei. "Parametric and non-parametric inference for Geometric Process." Click to view the E-thesis via HKUTO, 2005. http://sunzi.lib.hku.hk/hkuto/record/B31483859.

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5

Ho, Pak-kei, and 何柏基. "Parametric and non-parametric inference for Geometric Process." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2005. http://hub.hku.hk/bib/B31483859.

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6

Pereira, Carlos André Bogéa. "Alguns tópicos em probabilidade geométrica." [s.n.], 2011. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306582.

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Orientador: Simão Nicolau Stelmastchuk<br>Dissertação (mestrado profissional) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica<br>Made available in DSpace on 2018-08-17T21:15:56Z (GMT). No. of bitstreams: 1 Pereira_CarlosAndreBogea_M.pdf: 2160729 bytes, checksum: f46cc601d486b802f179e9fd8befb099 (MD5) Previous issue date: 2011<br>Resumo: Ao nosso entender, a Probabilidade Geométrica quantifica a probabilidade de ocorrer alguns fenômenos associados a entes geométricos. O primeiro estudo, talvez o mais famoso, a ser realizado neste sentido é o p

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7

Spencer, Steven Robert. "Renewal theory for uniform random variables." CSUSB ScholarWorks, 2002. https://scholarworks.lib.csusb.edu/etd-project/2248.

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This project will focus on finding formulas for E[N(t)] using one of the classical problems in the discipline first, and then extending the scope of the problem to include overall times greater than the time t in the original problem. The expected values in these cases will be found using the uniform and exponential distributions of random variables.

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8

Sisto, Alessandro. "Geometric and probabilistic aspects of groups with hyperbolic features." Thesis, University of Oxford, 2013. http://ora.ox.ac.uk/objects/uuid:bcf456c4-eef0-4fe8-bb7d-8b15f9cf7b18.

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The main objects of interest in this thesis are relatively hyperbolic groups. We will study some of their geometric properties, and we will be especially concerned with geometric properties of their boundaries, like linear connectedness, avoidability of parabolic points, etc. Exploiting such properties will allow us to construct, under suitable hypotheses, quasi-isometric embeddings of hyperbolic planes into relatively hyperbolic groups and quasi-isometric embeddings of relatively hyperbolic groups into products of trees. Both results have applications to fundamental groups of 3-manifolds. We

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9

Brodd, Tobias, and Adrian Djerf. "Monte Carlo Simulations of Stock Prices : Modelling the probability of future stock returns." Thesis, KTH, Skolan för elektroteknik och datavetenskap (EECS), 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-229752.

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The financial market is a stochastic and complex system that is challenging to model. It is crucial for investors to be able to model the probability of possible outcomes of financial investments and financing decisions in order to produce fruitful and productive investments. This study investigates how Monte Carlo simulations of random walks can be used to model the probability of future stock returns and how the simulations can be improved in order to provide better accuracy. The implemented method uses a mathematical model called Geometric Brownian Motion (GBM) in order to simulate stock pr

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10

Лук'янихін, О. В. "Статистичне обчислення числа Пі в досліді Бюффона". Thesis, Сумський державний університет, 2015. http://essuir.sumdu.edu.ua/handle/123456789/43351.

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У роботі розглянута класична задача теорії геометричних ймовірностей з експериментального обчислення числа Пі. Видатний французький вчений XVIII ст. Жорж-Луї Леклерк де Бюффон навів її разом із розв'язанням у доповненнях до "Природничої історії" в 1777 році. В рамках дистанційного курсу "Теорія ймовірностей та математична статистика" (http://dl.sumdu.edu.ua) створене інтерактивне практичне завдання для проведення досліду Бюффона.

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11

Bezerra, JosÃ Luciano Nascimento. "Probabilidade e probabilidade geomÃtrica: alÃm dos dados, moedas e cartas de baralho." Universidade Federal do CearÃ, 2015. http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=15608.

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CoordenaÃÃo de AperfeÃoamento de Pessoal de NÃvel Superior<br>O presente trabalho consiste numa abordagem didÃtico-pedagÃgica do estudo e do ensino da Teoria das Probabilidades na EducaÃÃo BÃsica, com Ãnfase no conceito de Probabilidade GeomÃtrica, sua importÃncia e relevÃncia para uma aprendizagem mais significativa, efetiva e atrativa. Inicia-se com a histÃria e evoluÃÃo deste singular ramo da MatemÃtica Aplicada, seguindo-se uma seÃÃo com teoria e prÃtica atravÃs da resoluÃÃo de exercÃcios. O conceito de probabilidade geomÃtrica Ã introduzido e desenvolvido a fim de mostrar quÃo mais abrang

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12

Villa, E. "Methods of geometric measure theory in stochastic geometry." Doctoral thesis, Università degli Studi di Milano, 2007. http://hdl.handle.net/2434/28369.

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All the results of the present thesis have been obtained facing problems related to the study of the so called birth-and-growth stochastic processes, relevant in several real applications, like crystallization processes, tumour growth, angiogenesis, etc. We have introduced a Delta formalism, à la Dirac-Schwartz, for the description of random measures associated with random closed sets in R^d of lower dimensions, such that the usual Dirac delta at a point follows as particular case, in order to provide a natural framework for deriving evolution equations for mean densities at integer Hausdorff

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13

Cao, Xiaoou. "Growth of Galton-Watson trees with lifetimes, immigrations and mutations." Thesis, University of Oxford, 2011. http://ora.ox.ac.uk/objects/uuid:beaa9fe1-d60c-4487-9520-e8f004b53e6f.

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In this work, we are interested in Growth of Galton-Watson trees under two different models: (1) Galton-Watson (GW) forests with lifetimes and/or immigrants, and (2) Galton-Watson forests with mutation, which we call Galton-Watson-Clone-Mutant forests, or GWCMforests. Under each model, we study certain consistent families (Fλ)λ≥0 of GW/GWCM forests and associated decompositions that include backbone decomposition as studied by many authors. Specifically, consistency here refers to the property that for each μ ≤ λ, the forest Fμ has the same distribution as the subforest of Fλ spanned by the bl

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14

Blanc, Guillaume. "Poisson processes of roads and random geometry." Electronic Thesis or Diss., université Paris-Saclay, 2024. http://www.theses.fr/2024UPASM024.

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Le thème général de cette thèse est la géométrie aléatoire.Nous commençons par étudier la métrique aléatoire construite par Kendall à partir d'un processus de Poisson de routes auto-similaire dans l'espace euclidien (par routes, nous entendons droites avec des limitations de vitesse).Dans un premier temps, nous nous intéressons aux propriétés fractales de cet espace métrique aléatoire, qui est presque sûrement homéomorphe à l'espace euclidien, et dont nous calculons la dimension de Hausdorff comme une constante strictement plus grande que la dimension ambiante.Dans un autre travail, nous consi

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15

Narváez, Clauss Marta. "Quantitative equidistribution of Galois orbits of points of small height on the algebraic torus." Doctoral thesis, Universitat de Barcelona, 2016. http://hdl.handle.net/10803/403982.

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El teorema de equidistribución de Bilu establece que, dada una sucesión estricta de puntos en el toro algebraico N-dimensional cuya altura de Weil tiende a cero, las órbitas de Galois de los puntos se equidistribuyen con respecto a la medida de Haar de probabilidad del policírculo unidad. Para el caso unidimensional, versiones cuantitativas de este resultado fueron obtenidas independientemente por Petsche y por Favre y Rivera-Letelier. Se presenta en esta tesis una versión cuantitativa del resultado de Bilu para el caso de dimensión cualquiera. Dado un punto en el toro algebraico de dimensión

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16

Tassouli, Siham. "Neurodynamic chance-constrained geometric optimization." Electronic Thesis or Diss., université Paris-Saclay, 2023. http://www.theses.fr/2023UPASG062.

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Dans de nombreux problèmes réels, les décideurs sont confrontés à des incertitudes qui peuvent affecter les résultats de leurs décisions. Ces incertitudes découlent de diverses sources, telles que la variabilité de la demande, les conditions fluctuantes du marché ou des informations incomplètes sur les paramètres du système. Les approches traditionnelles d'optimisation déterministe supposent que tous les paramètres sont connus avec certitude, ce qui peut ne pas refléter avec précision la réalité du problème. L'optimisation sous contraintes de probabilité offre une approche plus réaliste et rob

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17

Lehéricy, Thomas. "Cycles séparants, isopérimétrie et modifications de distances dans les grandes cartes planaires aléatoires." Thesis, Université Paris-Saclay (ComUE), 2019. http://www.theses.fr/2019SACLS476/document.

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Les cartes planaires sont des graphes planaires dessinés sur la sphère et vus à déformation près. De nombreuses propriétés des cartes sont supposées universelles, dans le sens où elles ne dépendent pas des détails du modèle choisi. Nous commençons par établir une inégalité isopérimétrique dans la quadrangulation infinie du plan. Nous confirmons également une conjecture de Krikun portant sur la longueur des cycles les plus courts séparant la boule de rayon $r$ de l'infini. Dans un deuxième temps, nous nous intéressons à l'effet de modifications de distances sur la géométrie à grande échelle des

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18

Hemsley, Ross. "Méthodes probabilistes pour l'analyse des algorithmes sur les tesselations aléatoires." Thesis, Nice, 2014. http://www.theses.fr/2014NICE4143/document.

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Dans cette thèse, nous exploitons les outils de la théorie des probabilités et de la géométrie stochastique pour analyser des algorithmes opérant sur les tessellations. Ce travail est divisé entre deux thèmes principaux, le premier traite de la navigation dans une tessellation de Delaunay et dans son dual, le diagramme de Voronoï avec des implications pour les algorithmes de localisation spatiales et de routage dans les réseaux en ligne. Nous proposons deux nouveaux algorithmes de navigation dans la triangulation de Delaunay, que nous appelons Pivot Walk et Cone Walk. Pour Cone Walk, nous four

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19

Chung, François. "Modélisation de l'apparence de régions pour la segmentation d'images basée modèle." Phd thesis, École Nationale Supérieure des Mines de Paris, 2011. http://pastel.archives-ouvertes.fr/pastel-00575796.

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Cette thèse est consacrée à un nouveau modèle d'apparence pour la segmentation d'images basée modèle. Ce modèle, dénommé Multimodal Prior Appearance Model (MPAM), est construit à partir d'une classification EM de profils d'intensité combinée avec une méthode automatique pour déterminer le nombre de classes. Contrairement aux approches classiques basées ACP, les profils d'intensité sont classifiés pour chaque maillage et non pour chaque sommet. Tout d'abord, nous décrivons la construction du MPAM à partir d'un ensemble de maillages et d'images. La classification de profils d'intensité et la dét

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20

Chu, Casey. "The Geometry of Data: Distance on Data Manifolds." Scholarship @ Claremont, 2016. https://scholarship.claremont.edu/hmc_theses/74.

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The increasing importance of data in the modern world has created a need for new mathematical techniques to analyze this data. We explore and develop the use of geometry—specifically differential geometry—as a means for such analysis, in two parts. First, we provide a general framework to discover patterns contained in time series data using a geometric framework of assigning distance, clustering, and then forecasting. Second, we attempt to define a Riemannian metric on the space containing the data in order to introduce a notion of distance intrinsic to the data, providing a novel way to prob

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21

Jackson, Henry Richard. "Exploring random geometry with the Gaussian free field." Thesis, University of Cambridge, 2016. https://www.repository.cam.ac.uk/handle/1810/263640.

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This thesis studies the geometry of objects from 2-dimensional statistical physics in the continuum. Chapter 1 is an introduction to Schramm-Loewner evolutions (SLE). SLEs are the canonical family of non-self-intersecting, conformally invariant random curves with a domain-Markov property. The family is indexed by a parameter, usually denoted by κ, which controls the regularity of the curve. We give the definition of the SLEκ process, and summarise the proofs of some of its properties. We give particular attention to the Rohde-Schramm theorem which, in broad terms, tells us that an SLEκ is a cu

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22

Yang, Le. "Médianes de mesures de probabilité dans les variétés riemanniennes et applications à la détection de cibles radar." Phd thesis, Université de Poitiers, 2011. http://tel.archives-ouvertes.fr/tel-00664188.

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Dans cette thèse, nous étudierons les médianes d'une mesure de probabilité dans une variété riemannienne. Dans un premier temps, l'existence et l'unicité des médianes locales seront montrées. Afin de calculer les médianes aux cas pratiques, nous proposerons aussi un algorithme de sous-gradient et prouverons sa convergence. Ensuite, les médianes de Fréchet seront étudiées. Nous montrerons leur cohérence statistique et donnerons des estimations quantitatives de leur robustesse à l'aide de courbures. De plus, nous montrerons que, dans les variétés riemanniennes compactes, les médianes de Fréchet

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23

Liu, Qiong. "Performance Analysis of Dynamic Downlink Cellular Networks." Electronic Thesis or Diss., Rennes, INSA, 2022. http://www.theses.fr/2022ISAR0017.

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Cette thèse caractérise de la région de stabilité d'un réseau aléatoire lorsqu'un modèle de trafic est intégré à la description de la géométrie du réseau. Premièrement, nous caractérisons la probabilité de couverture stable du réseau. À partir de la notion de probabilité de couverture dynamique, l'interaction entre les états des files d'attentes dans le réseau est prise en compte à l'aide d'une modélisation par chaîne de Markov discrète des files d'attente. Les cas des files d'attente à taille finie et infinie sont traités. La région de stabilité indique à partir de quelle intensité de trafic

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24

Javelle, Jérôme. "Cryptographie Quantique : Protocoles et Graphes." Thesis, Grenoble, 2014. http://www.theses.fr/2014GRENM093/document.

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Je souhaite réaliser un modèle théorique optimal pour les protocoles de partage de secret quantique basé sur l'utilisation des états graphes. Le paramètre représentatif d'un partage de secret à seuil est, entre autres la taille du plus grand ensemble de joueurs qui ne peut pas accéder au secret. Je souhaite donc trouver un famille de protocoles pour laquelle ce paramètre est le plus petit possible. J'étudie également les liens entre les protocoles de partage de secret quantique et des familles de courbes en géométrie algébrique<br>I want to realize an optimal theoretical model for quantum secr

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25

Myers, Ron Y. "The Effects of the Use of Technology In Mathematics Instruction on Student Achievement." FIU Digital Commons, 2009. http://digitalcommons.fiu.edu/etd/136.

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The purpose of this study was to examine the effects of the use of technology on students’ mathematics achievement, particularly the Florida Comprehensive Assessment Test (FCAT) mathematics results. Eleven schools within the Miami-Dade County Public School System participated in a pilot program on the use of Geometers Sketchpad (GSP). Three of these schools were randomly selected for this study. Each school sent a teacher to a summer in-service training program on how to use GSP to teach geometry. In each school, the GSP class and a traditional geometry class taught by the same teacher were th

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26

Sáez, Silvestre Carlos. "Probabilistic methods for multi-source and temporal biomedical data quality assessment." Doctoral thesis, Editorial Universitat Politècnica de València, 2016. http://hdl.handle.net/10251/62188.

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[EN] Nowadays, biomedical research and decision making depend to a great extent on the data stored in information systems. As a consequence, a lack of data quality (DQ) may lead to suboptimal decisions, or hinder the derived research processes and outcomes. This thesis aims to the research and development of methods for assessing two DQ problems of special importance in Big Data and large-scale repositories, based on multi-institutional, cross-border infrastructures, and acquired during long periods of time: the variability of data probability distributions (PDFs) among different data sources-

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27

(6368468), Daesung Kim. "Stability for functional and geometric inequalities and a stochastic representation of fractional integrals and nonlocal operators." Thesis, 2019.

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<div>The dissertation consists of two research topics.</div><div><br></div><div>The first research direction is to study stability of functional and geometric inequalities. Stability problem is to estimate the deficit of a functional or geometric inequality in terms of the distance from the class of optimizers or a functional that identifies the optimizers. In particular, we investigate the logarithmic Sobolev inequality, the Beckner-Hirschman inequality (the entropic uncertainty principle), and isoperimetric type inequalities for the expected lifetime of Brownian motion. </div><div><br></div>

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28

"A central limit theorem for the exodic tree and exodic matching in geometrical probability." Alfred p. Sloan School of Management, Massachusetts Institute of Technology, 1991. http://hdl.handle.net/1721.1/2363.

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Dimitris J. Bertsimas, Garrett van Ryzin.<br>Includes bibliographical references (p. 16-17).<br>Supported by the National Science Foundation. DDM-9014751 DDM-9010332 Supported by grants from the UPS Foundation.

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29

(11009496), Andrew M. Thomas. "Stochastic Process Limits for Topological Functionals of Geometric Complexes." Thesis, 2021.

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<p>This dissertation establishes limit theory for topological functionals of geometric complexes from a stochastic process viewpoint. Standard filtrations of geometric complexes, such as the Čech and Vietoris-Rips complexes, have a natural parameter <i>r </i>which governs the formation of simplices: this is the basis for persistent homology. However, the parameter <i>r</i> may also be considered the time parameter of an appropriate stochastic process which summarizes the evolution of the filtration.</p><p>Here we examine the stochastic behavior of two of the foremost classes of topological fun

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30

Bonnet, Gilles. "Poisson hyperplane tessellation: Asymptotic probabilities of the zero and typical cells." Doctoral thesis, 2017. https://repositorium.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2017021715545.

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We consider the distribution of the zero and typical cells of a (homogeneous) Poisson hyperplane tessellation. We give a direct proof adapted to our setting of the well known Complementary Theorem. We provide sharp bounds for the tail distribution of the number of facets. We also improve existing bounds for the tail distribution of size measurements of the cells, such as the volume or the mean width. We improve known results about the generalised D.G. Kendall's problem, which asks about the shape of large cells. We also show that cells with many facets cannot be close to a lower dimensional co

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(8802785), Abhiram Natarajan. "Betti numbers of deterministic and random sets in semi-algebraic and o-minimal geometry." Thesis, 2020.

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<p>Studying properties of random polynomials has marked a shift in algebraic geometry. Instead of worst-case analysis, which often leads to overly pessimistic perspectives, randomness helps perform average-case analysis, and thus obtain a more realistic view. Also, via Erdos' astonishing 'probabilistic method', one can potentially obtain deterministic results by introducing randomness into a question that apriori had nothing to do with randomness. </p> <p><br></p> <p>In this thesis, we study topological questions in real algebraic geometry, o-minimal geometry and random algebraic geometry, wit

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El-Khatib, Mayar. "Highway Development Decision-Making Under Uncertainty: Analysis, Critique and Advancement." Thesis, 2010. http://hdl.handle.net/10012/5741.

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While decision-making under uncertainty is a major universal problem, its implications in the field of transportation systems are especially enormous; where the benefits of right decisions are tremendous, the consequences of wrong ones are potentially disastrous. In the realm of highway systems, decisions related to the highway configuration (number of lanes, right of way, etc.) need to incorporate both the traffic demand and land price uncertainties. In the literature, these uncertainties have generally been modeled using the Geometric Brownian Motion (GBM) process, which has been used extens

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