Relevant bibliographies by topics / Variational methods / Dissertations / Theses
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Dissertations / Theses on the topic 'Variational methods'

Author: Grafiati
Published: 4 June 2021
Last updated: 25 July 2025

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1

Liero, Matthias. "Variational methods for evolution." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, 2013. http://dx.doi.org/10.18452/16685.

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Das Thema dieser Dissertation ist die Anwendung von Variationsmethoden auf Evolutionsgleichungen parabolischen und hyperbolischen Typs. Im ersten Teil der Arbeit beschäftigen wir uns mit Reaktions-Diffusions-Systemen, die sich als Gradientensysteme schreiben lassen. Hierbei verstehen wir unter einem Gradientensystem ein Tripel bestehend aus einem Zustandsraum, einem Entropiefunktional und einer Dissipationsmetrik. Wir geben Bedingungen an, die die geodätische Konvexität des Entropiefunktionals sichern. Geodätische Konvexität ist eine wertvolle aber auch starke strukturelle Eigenschaft und sc
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2

Money, James H. "Variational methods for image deblurring and discretized Picard's method." Lexington, Ky. : [University of Kentucky Libraries], 2006. http://lib.uky.edu/ETD/ukymath2006d00415/DISSERT.PDF.

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Thesis (Ph. D.)--University of Kentucky, 2006.<br>Title from document title page (viewed on May 31, 2006). Document formatted into pages; contains x, 97 p. : ill. (some col.). Includes abstract and vita. Includes bibliographical references (p. 90-96).
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3

Iqbal, Zamin. "Variational methods in solid mechanics." Thesis, University of Oxford, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.301901.

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4

Forclaz, A. "Variational methods in materials science." Thesis, University of Oxford, 2002. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.249532.

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Three problems are being investigated in this thesis. The first two relate to the modelling and analysis of martensitic phase transitions, while the third is concerned with some mathematical tools used in this setting. After a short introduction (Chapter 1) and overviews of the calculus of variations and martensitic phase transformations (Chapter 2), the research part of this thesis is divided into three chapters. We show in Chapter 3 that for the two wells $\mathrm{SO}(3)U$ and $\mathrm{SO}(3)V$ to be rank-one connected, where the $3\times 3$ symmetric positive definite $U$ and $V$ have the s
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5

Spencer, Jack A. "Variational methods for image segmentation." Thesis, University of Liverpool, 2016. http://livrepository.liverpool.ac.uk/3003758/.

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The work in this thesis is concerned with variational methods for two-phase segmentation problems. We are interested in both the obtaining of numerical solutions to the partial differential equations arising from the minimisation of a given functional, and forming variational models that tackle some practical problem in segmentation (e.g. incorporating prior knowledge, dealing with intensity inhomogeneity). With that in mind we will discuss each aspect of the work as follows. A seminal two-phase variational segmentation problem in the literature is that of Active Contours Without Edges, introd
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Fetecau, Razvan Constantin Marsden Jerrold E. "Variational methods for nonsmooth mechanics /." Diss., Pasadena, Calif. : California Institute of Technology, 2003. http://resolver.caltech.edu/CaltechETD:etd-05222003-110241.

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7

Litke, Nathan Jacob Schröder Peter. "Variational methods in surface parameterization /." Diss., Pasadena, Calif. : California Institute of Technology, 2005. http://resolver.caltech.edu/CaltechETD:etd-05312005-224704.

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8

Thorpe, Matthew. "Variational methods for geometric statistical inference." Thesis, University of Warwick, 2015. http://wrap.warwick.ac.uk/74241/.

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Estimating multiple geometric shapes such as tracks or surfaces creates significant mathematical challenges particularly in the presence of unknown data association. In particular, problems of this type have two major challenges. The first is typically the object of interest is infinite dimensional whilst data is finite dimensional. As a result the inverse problem is ill-posed without regularization. The second is the data association makes the likelihood function highly oscillatory. The focus of this thesis is on techniques to validate approaches to estimating problems in geometric statistica
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9

Valente, Fabio. "Variational bayesian methods for audio indexing." Nice, 2005. http://www.theses.fr/2005NICE4037.

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Dans cette thèse, nous considérons un nouveau type de méthodes approximatives appelées Apprentissage Variationnel (connu aussi comme Apprentissage d'ensemble) qui offre une solution sous forme explicite mais approximative du problème de l'intégration des paramètres. La clé des méthodes variationnelles est le remplacement des distributions réelles mais inconnues des paramètres par des distributions approximées (distributions variationnelles) qui permettent de traiter la solution analytiquement. Evidemment l'efficacité de cette approche dépend de la qualité de ces distributions approximées. Nous
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10

Hermosillo, Valadez Gerardo. "Variational methods for multimodal image matching." Nice, 2002. http://www.theses.fr/2002NICE5729.

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11

Yang, Zhaoqing. "Variational inverse methods for transport problems." W&M ScholarWorks, 1996. https://scholarworks.wm.edu/etd/1539616917.

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Variational inverse data assimilation schemes are developed for three types of parameter identification problems in transport models: (1) the tracer inverse for the Lagrangian mean transport velocity in a long-term advection-diffusion transport model; (2) determination of inflow salinity open boundary condition in an intra-tidal salinity transport model; and (3) determination of settling velocity and resuspension rate for a cohesive sediment transport model. The gradient of the cost function with respect to the control variables is obtained by the adjoint model. A series of twin experiments ar
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12

King, Nathaniel John. "Fast variational methods for non-Gaussian likelihoods." Thesis, University of Sheffield, 2008. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.487598.

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In this thesis we present a modular algorithm for supervised learning which we refer to as probabilistic point assimilation (PPA). Three interpretations of the PPA framework are develop.ed: a linear, a regularized linear and Gaussian process model. Learning tasks are performed by 'plugging' in different noise models. These noise models can be included easily with out recalculation of the model as a whole by just the calculation of three simple forms found from a univariate Gaussian integral involving that noise model. Experiments show comparable comparisons for PPA against other state of the a
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13

Choudrey, Rizwan A. "Variational methods for Bayesian independent component analysis." Thesis, University of Oxford, 2002. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.275566.

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14

Foures, Dimitry Paul Gilles. "Generalised flow optimisation using constrained variational methods." Thesis, University of Cambridge, 2014. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.708177.

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15

Matthews, Alexander Graeme de Garis. "Scalable Gaussian process inference using variational methods." Thesis, University of Cambridge, 2017. https://www.repository.cam.ac.uk/handle/1810/278022.

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Gaussian processes can be used as priors on functions. The need for a flexible, principled, probabilistic model of functional relations is common in practice. Consequently, such an approach is demonstrably useful in a large variety of applications. Two challenges of Gaussian process modelling are often encountered. These are dealing with the adverse scaling with the number of data points and the lack of closed form posteriors when the likelihood is non-Gaussian. In this thesis, we study variational inference as a framework for meeting these challenges. An introductory chapter motivates the use
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16

Liu, Pan. "Variational and PDE Methods for Image Processing." Research Showcase @ CMU, 2017. http://repository.cmu.edu/dissertations/945.

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17

Battaglia, Luca. "Variational aspects of singular Liouville systems." Doctoral thesis, SISSA, 2015. http://hdl.handle.net/20.500.11767/4857.

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I studied singular Liouville systems on compact surfaces from a variational point of view. I gave sufficient and necessary conditions for the existence of globally minimizing solutions, then I found min-max solutions for some particular systems. Finally, I also gave some non-existence results.
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18

Scott, Matthew. "Theory of electrode polarization, application of variational methods." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2000. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape3/PQDD_0015/MQ55238.pdf.

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19

Dolzmann, Georg. "Variational methods for crystalline microstructure : analysis and computation /." Berlin [u.a.] : Springer, 2003. http://www.loc.gov/catdir/enhancements/fy0813/2002036690-d.html.

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20

Ennaji, Hamza. "Variational methods for Hamilton-Jacobi equations and applications." Thesis, Limoges, 2021. http://www.theses.fr/2021LIMO0013.

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L’objectif de cette thèse est de proposer des méthodes variationnelles pour l’analyse mathématiques et numérique d’une classe d’équations d’HJ. Le caractère métrique de ces équations permet de caractériser l’ensemble des sous-solutions, à savoir, elles sont 1-Lipschitz par rapport à la distance Finslerienne associée au Hamiltonien. De manière équivalente, cela revient à dire que le gradient de ces fonctions appartient à une certaine boule Finslerienne. La solution recherchée est la sous-solution maximale, qui peut être décrite par une formule du type Hopf-Lax, qui résout un problème de maximis
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21

Yang, Yin. "Study of variational ensemble methods for image assimilation." Thesis, Rennes 1, 2014. http://www.theses.fr/2014REN1S118/document.

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Les méthodes hybrides combinant les méthodes de 4D Variationnelle et le filtre de Kalman d'ensemble fournissent un cadre flexible. Dans ce cadre, les avantages potentiels par rapport à chaque méthode (e.g. la matrice de covariances d'erreur d'ébauche dépendant d'écoulement, la capacité d'obtenir explicitement la matrice de covariances d'erreur d'analyse, la procédure de minimisation itérative et l'assimilation simultanée de toutes les observations dans un intervalle de temps etc.) peuvent être conservés. Dans cette thèse, un système d'ensemblist-4DVar renforcé a été proposé
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22

Huska, Martin. "Variational Methods and Numerical Algorithms for Geometry Processing." Doctoral thesis, Università degli studi di Padova, 2018. http://hdl.handle.net/11577/3423161.

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In this work we address the problem of shape partitioning which enables the decomposition of an arbitrary topology object into smaller and more manageable pieces called partitions. Several applications in Computer Aided Design (CAD), Computer Aided Manufactury (CAM) and Finite Element Analysis (FEA) rely on object partitioning that provides a high level insight of the data useful for further processing. In particular, we are interested in 2-manifold partitioning, since the boundaries of tangible physical objects can be mathematically defined by two-dimensional manifolds embedded into three-dim
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23

SOAVE, NICOLA. "Variational and geometric methods for nonlinear differential equations." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2014. http://hdl.handle.net/10281/49889.

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This thesis is devoted to the study of several problems arising in the field of nonlinear analysis. The work is divided in two parts: the first one concerns existence of oscillating solutions, in a suitable sense, for some nonlinear ODEs and PDEs, while the second one regards the study of qualitative properties, such as monotonicity and symmetry, for solutions to some elliptic problems in unbounded domains. Although the topics faced in this work can appear far away one from the other, the techniques employed in different chapters share several common features. In the firts part, the variationa
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24

Andujar, Moreno Rabindranath. "Variational mechanics and stochastic methods applied to structural design." Doctoral thesis, Universitat Politècnica de Catalunya, 2015. http://hdl.handle.net/10803/286230.

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This thesis explores a very well understood area of physics: computational structural dynamics. The aim is to stretch its boundaries by merging it with another very well established discipline such as structural design and optimization. In the recent past both of them have made significant advances, often unaware one of each other for different reasons. It is the aim of this thesis to serve as a bridging tool between the realms of physics and engineering. The work in divided in three parts: variational mechanics, structural optimization and implementation. The initial part deals with determi
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25

Favorite, Jeffrey Alan. "Variational methods applied to nuclear reactor space-time neutronics." Diss., Georgia Institute of Technology, 1998. http://hdl.handle.net/1853/16670.

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26

Copper, Bridgette. "Benchmark calculations of projection and variational coupled cluster methods." Thesis, Cardiff University, 2010. http://orca.cf.ac.uk/55031/.

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27

Pant, Dibakar Raj. "Line element and variational methods for color difference metrics." Phd thesis, Université Jean Monnet - Saint-Etienne, 2012. http://tel.archives-ouvertes.fr/tel-00981484.

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Visual sensitivity to small color difference is an important factor for precision color matching. Small color differences can be measured by the line element theory in terms of color distances between a color point and neighborhoods of points in a color space. This theory gives a smooth positive definite symmetric metric tensor which describes threshold of color differences by ellipsoids in three dimensions and ellipses in two dimensions. The metric tensor is also known as the Riemannian metric tensor. In regard to the color differences, there are many color difference formulas and color space
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28

Vergottis, Panaghis. "Implementation of variational methods for problems of frictional contact." Thesis, Imperial College London, 1989. http://hdl.handle.net/10044/1/47697.

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29

Jaakkola, Tommi S. (Tommi Sakari). "Variational methods for inference and estimation in graphical models." Thesis, Massachusetts Institute of Technology, 1997. http://hdl.handle.net/1721.1/10307.

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30

Lenglet, Christophe. "Geometric and variational methods for diffusion tensor MRI processing." Nice, 2006. http://www.theses.fr/2006NICE4083.

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Cette thèse est consacrée au développement d'outils de traitement pour l'Imagerie par Résonance Magnétique du Tenseur de Diffusion (IRM-TD). Cette technique d'IRM récente est d'une grande importance pour comprendre le fonctionnement du cerveau ou pour améliorer le diagnostic de pathologies neurologiques. Nous proposons des méthodes de traitement basées sur la géométrie Riemannienne, les équations aux dérivées partielles et les techniques de propagation de front. La première partie de ce travail est théorique. Après des rappels sur le système nerveux humain, l'IRM et la géométrie différentielle
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31

Badshah, Noor. "Fast iterative methods for variational models in image segmentation." Thesis, University of Liverpool, 2009. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.501735.

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Image segmentation is an important branch of computer vision. It aims at extracting meaningM objects lying in images either by dividing images 5 into contiguous semantic regions, or by extracting one or more specific objects in images such as left kidney in CT image. The image segmentation task is, in general, very difficult to achieve since natural images are diverse and complex, and the way we perceive them varies according to individuals.
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Hodyss, Daniel, Craig H. Bishop, and Matthias Morzfeld. "To what extent is your data assimilation scheme designed to find the posterior mean, the posterior mode or something else?" CO-ACTION PUBLISHING, 2016. http://hdl.handle.net/10150/621807.

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Recently there has been a surge in interest in coupling ensemble-based data assimilation methods with variational methods (commonly referred to as 4DVar). Here we discuss a number of important differences between ensemble-based and variational methods that ought to be considered when attempting to fuse these methods. We note that the Best Linear Unbiased Estimate (BLUE) of the posterior mean over a data assimilation window can only be delivered by data assimilation schemes that utilise the 4-dimensional (4D) forecast covariance of a prior distribution of non-linear forecasts across the data as
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33

Sarbu, Lavinia. "Primal-dual active set methods for Allen-Cahn variational inequalities." Thesis, University of Sussex, 2010. http://sro.sussex.ac.uk/id/eprint/6267/.

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This thesis aims to introduce and analyse a primal-dual active set strategy for solving Allen-Cahn variational inequalities. We consider the standard Allen-Cahn equation with non-local constraints and a vector-valued Allen-Cahn equation with and without non-local constraints. Existence and uniqueness results are derived in a formulation involving Lagrange multipliers for local and non-local constraints. Local Convergence is shown by interpreting the primal-dual active set approach as a semi-smooth Newton method. Properties of the method are discussed and several numerical simulations in two an
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34

Liu, Chen. "Variational methods and their applications to frustrated quantum spin models." Thesis, Boston University, 2012. https://hdl.handle.net/2144/32030.

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Thesis (Ph.D.)--Boston University<br>PLEASE NOTE: Boston University Libraries did not receive an Authorization To Manage form for this thesis or dissertation. It is therefore not openly accessible, though it may be available by request. If you are the author or principal advisor of this work and would like to request open access for it, please contact us at open-help@bu.edu. Thank you.<br>Quantum spin models are useful in many areas of physics, such as strongly correlated materials and quantum phase transitions, or, generally, quantum many-body systems. Most of the models of interest are not a
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35

Richardson, Thomas J. (Thomas Joseph) 1961. "Scale independent piecewise smooth segmentation of images via variational methods." Thesis, Massachusetts Institute of Technology, 1990. http://hdl.handle.net/1721.1/14261.

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36

Taji, Kouichi. "Studies on Optimization Based Solution Methods for Variational Inequality Problems." Kyoto University, 1996. http://hdl.handle.net/2433/160816.

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本文データは平成22年度国立国会図書館の学位論文(博士)のデジタル化実施により作成された画像ファイルを基にpdf変換したものである<br>Kyoto University (京都大学)<br>0048<br>新制・論文博士<br>博士(工学)<br>乙第9380号<br>論工博第3163号<br>新制||工||1055(附属図書館)<br>UT51-97-B317<br>(主査)教授 茨木 俊秀, 教授 福嶋 雅夫, 教授 足立 紀彦<br>学位規則第4条第2項該当
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Wollbo, Hilding. "Secondary Carrier Prediction in Cellular Networks Using Compressive Variational Methods." Thesis, KTH, Skolan för elektroteknik och datavetenskap (EECS), 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-286674.

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A new method for predicting coverage on secondary frequencies in cellular networks is proposed and evaluated against previous studies in the field. Data is aggregated from several frequencies and cells, greatly reducing the number of Machine Learning models employed in the network. An implementation of a variational approximation of the Information Bottleneck method is studied for different data and compression levels. The model is evaluated using several metrics in relation to a baseline decision tree model. The new model is shown to have improved performance for simulated network data, while
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Santos, Sandrina Rafaela Andrade. "Nonlinear elliptic equations with nonsmooth potential : variational and topological methods." Doctoral thesis, Universidade de Aveiro, 2009. http://hdl.handle.net/10773/2945.

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Doutoramento em Matemática<br>Nesta tese de doutoramento, estudamos a existência e a multiplicidade de soluções para algumas classes de equações elípticas não lineares com potencial não suave. Os resultados originais foram obtidos, utilizando métodos variacionais e da teoria de grau. A nossa abordagem variacional é baseada em descobertas recentes na teoria não suave (nonsmooth) dos pontos críticos. A teoria de grau é aplicada a determinadas perturbações multívocas de operadores de tipo monótono (operadores do tipo (S)+ ). O primeiro problema que consideramos é um problema de valor próprio semi
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McPhail, Jeff (Jeffrey Alfred) Carleton University Dissertation Mathematics and Statistics. "Variational methods in general relativity and the positive energy theorems." Ottawa, 1996.

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40

Hammond, Janice H., and Thomas L. Magnanti. "Generalized Descent Methods for Asymmetric Systems of Equations and Variational Inequalities." Massachusetts Institute of Technology, Operations Research Center, 1985. http://hdl.handle.net/1721.1/5331.

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We consider generalizations of the steepest descent algorithm for solving asymmetric systems of equations. We first show that if the system is linear and is defined by a matrix M, then the method converges if M2 is positive definite. We also establish easy to verify conditions on the matrix M that ensure that M is positive definite, and develop a scaling procedure that extends the class of matrices that satisfy the convergence conditions. In addition, we establish a local convergence result for nonlinear systems defined by uniformly monotone maps, and discuss a class of general descent methods
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Deniţiu, Andreea-Marieta [Verfasser], and Stefania [Akademischer Betreuer] Petra. "Variational Methods for Discrete Tomography / Andreea-Marieta Denitiu ; Betreuer: Stefania Petra." Heidelberg : Universitätsbibliothek Heidelberg, 2016. http://d-nb.info/1180616669/34.

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Noureddine, Mohamed. "Fourier variational methods for the analysis of optical waveguides and lasers." Thesis, University of Nottingham, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.263466.

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Alshammery, Anas Obeed Adras. "Modelling sintering at particle scale using variational and molecular dynamic methods." Thesis, University of Leicester, 2018. http://hdl.handle.net/2381/42879.

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Sintering is the thermal process that uses powders to form a new dense product by increasing temperature but holding it under the melting point of the material in use. Modelling the sintering process is important for fundamental understanding the behaviour of the particles during the sintering process instead of through empirical experimental work. In the first part of this thesis, a simplified method is developed to model the solid state sintering process which depends on the coupling between grain boundary and surface diffusion. A curve fitting method was developed to create a new relationsh
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Mueller, Martin F. "Physics-driven variational methods for computer vision and shape-based imaging." Diss., Georgia Institute of Technology, 2014. http://hdl.handle.net/1853/54034.

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In this dissertation, novel variational optical-flow and active-contour methods are investigated to address challenging problems in computer vision and shape-based imaging. Starting from traditional applications of these methods in computer vision, such as object segmentation, tracking, and detection, this research subsequently applies similar active contour techniques to the realm of shape-based imaging, which is an image reconstruction technique estimating object shapes directly from physical wave measurements. In particular, the first and second part of this thesis deal with the following
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Fairbairn, David. "Comparing variational and ensemble data assimilation methods for numerical weather prediction." Thesis, University of Surrey, 2014. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.616485.

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Data assimilation (DA) methods combine a prior forecast (background state) with the latest observations of the atmosphere, to estimate the initial conditions for a weather forecast. Accurate and early forecasts of extreme weather events allow time for actions to be taken to protect populations from injury and death, and for the preservation of infrastructure as far as possible. Climate change is expected to increase the severity frequency of some extreme weather events over the coming Century. Advances in DA should improve the forecasts of these events.
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Deniţiu, Andreea-Marieta Verfasser], and Stefania [Akademischer Betreuer] [Petra. "Variational Methods for Discrete Tomography / Andreea-Marieta Denitiu ; Betreuer: Stefania Petra." Heidelberg : Universitätsbibliothek Heidelberg, 2016. http://d-nb.info/1180616669/34.

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47

Tan, Lu. "Image Processing by Variational Methods, Stochastic Programming and Deep Learning Techniques." Thesis, Curtin University, 2020. http://hdl.handle.net/20.500.11937/82126.

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This thesis is to investigate effective approaches to tackle different problems in computer vision: variational methods are first studied for image processing, illusory contour reconstruction and segmentation as well as their efficiency improvement. Next, we develop variational segmentation methods by stochastic programming, tackling diverse problems with random noises. Third, the fusion approaches integrating varaitional models and deep neural networks are explored for challenging image tasks. These innovative ideas are validated by significant performance gains.
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Asur, Pavan Kumar. "Cohesive and Variational Methods for Fracture Mechanics in Statics and Fatigue." Thesis, IMT Alti Studi Lucca, 2022. http://e-theses.imtlucca.it/354/1/Asur_phdthesis.pdf.

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The widespread use of material over the past century has dramatically changed the world today. The reliability of any machine depends on the multiple com-plex interactions in the system leading to a failure. Hence, it is necessary to understand the failure mechanism of the structures with a multi-physics inter-action. The present thesis explores the role of complex multi-physics in failure tounderstand the overall structural performance, including an interface between different materials. Specifcally, in Chapter-2, a phase feld (PF) approximation of fracture for func-tionally graded material
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FRASSU, SILVIA. "Dirichlet problems for several nonlocal operators via variational and topological methods." Doctoral thesis, Università degli Studi di Cagliari, 2021. http://hdl.handle.net/11584/309589.

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The main topic of the thesis is the study of elliptic differential equations with fractional order driven by nonlocal operators, as the fractional p-Laplacian, the fractional Laplacian for p=2, the general nonlocal operator and its anisotropic version. Recently, great attention has been focused on the study of fractional and nonlocal operators of elliptic type, both for pure mathematical research and in view of concrete real-world applications. This type of operators arises in a quite natural way in many different contexts, such as, among others, game theory, image processing, optimization, ph
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BOLZONI, MATTIA. "Variational inference and semi-parametric methods for time-series probabilistic forecasting." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2021. http://hdl.handle.net/10281/313704.

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Prevedere la probabilità di eventi futuri è un problema comune. L'approccio più utilizzato assume una struttura fissa per questa probabilità, detta modello, dipendente da variabili latenti dette parametri. Dopo aver osservato dei dati è possibile inferire una distribuzione per queste variabili non osservabili. Il procedimento di inferenza non è sempre immediato, siccome selezionare un singolo valore per i parametri potrebbe portare a scarsi risultati, mentre approssimare una distribuzione usando MCMC potrebbe essere complicato. L'inferenza variazionale (VI) sta ricevendo una crescente attenzi
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