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Dissertations / Theses on the topic 'Algebraic kernel'

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Published: 8 June 2024

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1

Bhattacharjee, Papiya. "Minimal Prime Element Space of an Algebraic Frame." Bowling Green State University / OhioLINK, 2009. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1243364652.

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2

Peñaranda, Luis. "Géométrie algorithmique non linéaire et courbes algébriques planaires." Electronic Thesis or Diss., Nancy 2, 2010. http://www.theses.fr/2010NAN23002.

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Nous abordons dans cette thèse le problème du calcul de la topologie de courbes algébriques planes. Nous présentons un algorithme qui, grâce à l’application d’outils algébriques comme les bases de Gröbner et les représentations rationnelles univariées, ne nécessite pas de traitement particulier de cas dégénérés. Nous avons implanté cet algorithme et démontré son efficacité par un ensemble de comparaisons avec les logiciels similaires. Nous présentons également une analyse de complexité sensible a la sortie de cet algorithme. Nous discutons ensuite des outils nécessaires pour l’implantation d’a

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3

Laske, Michael. "Le K1 des courbes sur les corps globaux : conjecture de Bloch et noyaux sauvages." Thesis, Bordeaux 1, 2009. http://www.theses.fr/2009BOR13861/document.

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Pour X une courbe sur un corps global k, lisse, projective et géométriquement connexe, nous déterminons la Q-structure du groupe de Quillen K1(X) : nous démontrons que dimQ K1(X) ? Q =2r, où r désigne le nombre de places archimédiennes de k (y compris le cas r = 0 pour un corps de fonctions). Cela con?rme une conjecture de Bloch annoncée dans les années 1980. Dans le langage de la K-théorie de Milnor, que nous dé?nissons pour les variétés algébriques via les groupes de Somekawa, le premier K-groupe spécial de Milnor SKM1 (X) est de torsion. Pour la preuve, nous développons une théorie des haut

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4

Sondecker, Victoria L. "Kernel-trace approach to congruences on regular and inverse semigroups." Instructions for remote access. Click here to access this electronic resource. Access available to Kutztown University faculty, staff, and students only, 1994. http://www.kutztown.edu/library/services/remote_access.asp.

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Thesis (M.A.)--Kutztown University of Pennsylvania, 1994.<br>Source: Masters Abstracts International, Volume: 45-06, page: 3173. Abstract precedes thesis as [2] preliminary leaves. Typescript. Includes bibliographical references (leaves 52-53).

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5

Speck, Robert [Verfasser]. "Generalized Algebraic Kernels and Multipole Expansions for massively parallel Vortex Particle Methods / Robert Speck." Wuppertal : Universitätsbibliothek Wuppertal, 2011. http://d-nb.info/1018299866/34.

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6

Kumar, Suraj. "Scheduling of Dense Linear Algebra Kernels on Heterogeneous Resources." Thesis, Bordeaux, 2017. http://www.theses.fr/2017BORD0572/document.

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Du fait des énormes capacités de calculs des accélérateurs tels que les GPUs et les Xeon Phi, l’utilisation de machines multicoques pourvues d’accélérateurs est devenue commune dans le domaine du calcul haute performance (HPC). La complexité induite par ces accélérateurs a suscité le développement de systèmes d’exécution à base de tâches, dans lesquels les dépendances entre les applications sont exprimées sous la forme de graphe de tâches et où les tâches sont ordonnancées dynamiquement sur les ressources de calcul. La difficulté est alors de concevoir des stratégies d’ordonnancement qui font

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7

Tachibana, Kanta, Takeshi Furuhashi, Tomohiro Yoshikawa, Eckhard Hitzer, and MINH TUAN PHAM. "Clustering of Questionnaire Based on Feature Extracted by Geometric Algebra." 日本知能情報ファジィ学会, 2008. http://hdl.handle.net/2237/20676.

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Session ID: FR-G2-2<br>Joint 4th International Conference on Soft Computing and Intelligent Systems and 9th International Symposium on advanced Intelligent Systems, September 17-21, 2008, Nagoya University, Nagoya, Japan

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8

Good, Jennifer Rose. "Weighted interpolation over W*-algebras." Diss., University of Iowa, 2015. https://ir.uiowa.edu/etd/1843.

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An operator-theoretic formulation of the interpolation problem posed by Nevanlinna and Pick in the early twentieth century asks for conditions under which there exists a multiplier of a reproducing kernel Hilbert space that interpolates a specified set of data. Paul S. Muhly and Baruch Solel have shown that their theory for operator algebras built from W*-correspondences provides an appropriate context for generalizing this classic question. Their reproducing kernel W*-correspondences are spaces of functions that generalize the reproducing kernel Hilbert spaces. Their Nevanlinna-Pick interpola

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9

Shinde, Sachin Dilip. "SuperTaco : Taco Tensor Algebra kernels on distributed systems using Legion." Thesis, Massachusetts Institute of Technology, 2019. https://hdl.handle.net/1721.1/121683.

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This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections.<br>Thesis: M. Eng., Massachusetts Institute of Technology, Department of Electrical Engineering and Computer Science, 2019<br>Cataloged from student-submitted PDF version of thesis.<br>Includes bibliographical references (pages 89-91).<br>Tensor algebra is a powerful language for expressing computation on multidimensional data. While many tensor datasets are sparse, most tensor algebra libraries have limited support for handling sparsity. The Tensor

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10

Wilding, David. "Linear algebra over semirings." Thesis, University of Manchester, 2015. https://www.research.manchester.ac.uk/portal/en/theses/linear-algebra-over-semirings(1dfe7143-9341-4dd1-a0d1-ab976628442d).html.

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Motivated by results of linear algebra over fields, rings and tropical semirings, we present a systematic way to understand the behaviour of matrices with entries in an arbitrary semiring. We focus on three closely related problems concerning the row and column spaces of matrices. This allows us to isolate and extract common properties that hold for different reasons over different semirings, yet also lets us identify which features of linear algebra are specific to particular types of semiring. For instance, the row and column spaces of a matrix over a field are isomorphic to each others' dua

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11

Wu, Wenhao. "High-performance matrix multiplication hierarchical data structures, optimized kernel routines, and qualitative performance modeling /." Master's thesis, Mississippi State : Mississippi State University, 2003. http://library.msstate.edu/etd/show.asp?etd=etd-07092003-003633.

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12

DiPaolo, Conner. "Randomized Algorithms for Preconditioner Selection with Applications to Kernel Regression." Scholarship @ Claremont, 2019. https://scholarship.claremont.edu/hmc_theses/230.

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The task of choosing a preconditioner M to use when solving a linear system Ax=b with iterative methods is often tedious and most methods remain ad-hoc. This thesis presents a randomized algorithm to make this chore less painful through use of randomized algorithms for estimating traces. In particular, we show that the preconditioner stability || I - M-1A ||F, known to forecast preconditioner quality, can be computed in the time it takes to run a constant number of iterations of conjugate gradients through use of sketching methods. This is in spite of folklore which suggests the quantity is im

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13

Kardell, Marcus. "Total positivity and oscillatory kernels : An overview, and applications to the spectral theory of the cubic string." Thesis, Linköpings universitet, Tillämpad matematik, 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-58005.

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In the study of the Degasperis-Procesi dierential equation, an eigenvalue problem called the cubic string occurs. This is a third order generalization of the second order problem describing the eigenmodes of a vibrating string. In this thesis we study the eigenfunctions of the cubic string for discrete and continuous mass distributions, using the theory of total positivity, via a combinatorial approach with planar networks.

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14

Issa, Hassan A. [Verfasser], Wolfram [Akademischer Betreuer] Bauer, and Ingo [Akademischer Betreuer] Witt. "The analysis of Toeplitz operators, commutative Toeplitz algebras and applications to heat kernel constructions / Hassan A. Issa. Gutachter: Wolfram Bauer ; Ingo Witt. Betreuer: Wolfram Bauer." Göttingen : Niedersächsische Staats- und Universitätsbibliothek Göttingen, 2012. http://d-nb.info/1042970947/34.

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15

Mascarenhas, Helena. "Convolution type operators on cones and asymptotic spectral theory." Doctoral thesis, [S.l. : s.n.], 2004. http://deposit.ddb.de/cgi-bin/dokserv?idn=970638809.

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16

Kernert, David [Verfasser], Wolfgang [Akademischer Betreuer] [Gutachter] Lehner, and Peter [Gutachter] Fischer. "Density-Aware Linear Algebra in a Column-Oriented In-Memory Database System / David Kernert ; Gutachter: Wolfgang Lehner, Peter Fischer ; Betreuer: Wolfgang Lehner." Dresden : Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2016. http://d-nb.info/1119362385/34.

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17

Wood, Nicholas Linder. "Extension of Similarity Functions and their Application toChemical Informatics Problems." The Ohio State University, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=osu1542299336598615.

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18

Herrero, Zaragoza Jose Ramón. "A framework for efficient execution of matrix computations." Doctoral thesis, Universitat Politècnica de Catalunya, 2006. http://hdl.handle.net/10803/5991.

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Matrix computations lie at the heart of most scientific computational tasks. The solution of linear systems of equations is a very frequent operation in many fields in science, engineering, surveying, physics and others. Other matrix operations occur frequently in many other fields such as pattern recognition and classification, or multimedia applications. Therefore, it is important to perform matrix operations efficiently. The work in this thesis focuses on the efficient execution on commodity processors of matrix operations which arise frequently in different fields.<br/><br/>We

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19

Fan, Yang, Hidehiko Masuhara, Tomoyuki Aotani, Flemming Nielson, and Hanne Riis Nielson. "AspectKE*: Security aspects with program analysis for distributed systems." Universität Potsdam, 2010. http://opus.kobv.de/ubp/volltexte/2010/4136/.

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Enforcing security policies to distributed systems is difficult, in particular, when a system contains untrusted components. We designed AspectKE*, a distributed AOP language based on a tuple space, to tackle this issue. In AspectKE*, aspects can enforce access control policies that depend on future behavior of running processes. One of the key language features is the predicates and functions that extract results of static program analysis, which are useful for defining security aspects that have to know about future behavior of a program. AspectKE* also provides a novel variable binding mech

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20

Hong, Guixiang. "Quelques problèmes en analyse harmonique non commutative." Phd thesis, Université de Franche-Comté, 2012. http://tel.archives-ouvertes.fr/tel-00979472.

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Cette thèse présente quelques résultats de la théorie des probabilités quantiques et de l'analyse harmonique non commutative. Elle est constituée de trois parties. La première partie démontre l'analogue non commutatif de l'inégalité de John-Nirenberg et la décomposition atomique pour les martingales non commutatives. Ces résultats étendent et améliorent ceux qui existent déjà, et correspondent exactement à ceux que l'on connaît dans le cas classique. La deuxième partie est consacrée à l'étude des espaces de Hardy à valeurs opérateurs via la méthode d'ondelettes. Il est montré que les espaces d

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21

Vasilescu, M. Alex O. "A Multilinear (Tensor) Algebraic Framework for Computer Graphics, Computer Vision and Machine Learning." Thesis, 2012. http://hdl.handle.net/1807/65327.

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This thesis introduces a multilinear algebraic framework for computer graphics, computer vision, and machine learning, particularly for the fundamental purposes of image synthesis, analysis, and recognition. Natural images result from the multifactor interaction between the imaging process, the scene illumination, and the scene geometry. We assert that a principled mathematical approach to disentangling and explicitly representing these causal factors, which are essential to image formation, is through numerical multilinear algebra, the algebra of higher-order tensors. Our new image modeling

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22

Kerber, Michael [Verfasser]. "Geometric algorithms for algebraic curves and surfaces / vorgelegt von Michael Kerber." 2009. http://d-nb.info/1002267331/34.

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23

Issa, Hassan. "The analysis of Toeplitz operators, commutative Toeplitz algebras and applications to heat kernel constructions." Doctoral thesis, 2012. http://hdl.handle.net/11858/00-1735-0000-000D-F066-5.

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24

"Accelerating Linear Algebra and Machine Learning Kernels on a Massively Parallel Reconfigurable Architecture." Master's thesis, 2019. http://hdl.handle.net/2286/R.I.55557.

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abstract: This thesis presents efficient implementations of several linear algebra kernels, machine learning kernels and a neural network based recommender systems engine onto a massively parallel reconfigurable architecture, Transformer. The linear algebra kernels include Triangular Matrix Solver (TRSM), LU Decomposition (LUD), QR Decomposition (QRD), and Matrix Inversion. The machine learning kernels include an LSTM (Long Short Term Memory) cell, and a GRU (gated Recurrent Unit) cell used in recurrent neural networks. The neural network based recommender systems engine consists of multiple k

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25

Abdelfattah, Ahmad. "Accelerating Scientific Applications using High Performance Dense and Sparse Linear Algebra Kernels on GPUs." Diss., 2015. http://hdl.handle.net/10754/346955.

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High performance computing (HPC) platforms are evolving to more heterogeneous configurations to support the workloads of various applications. The current hardware landscape is composed of traditional multicore CPUs equipped with hardware accelerators that can handle high levels of parallelism. Graphical Processing Units (GPUs) are popular high performance hardware accelerators in modern supercomputers. GPU programming has a different model than that for CPUs, which means that many numerical kernels have to be redesigned and optimized specifically for this architecture. GPUs usually outperform

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26

Zhou, Wei. "Fast Order Basis and Kernel Basis Computation and Related Problems." Thesis, 2012. http://hdl.handle.net/10012/7326.

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In this thesis, we present efficient deterministic algorithms for polynomial matrix computation problems, including the computation of order basis, minimal kernel basis, matrix inverse, column basis, unimodular completion, determinant, Hermite normal form, rank and rank profile for matrices of univariate polynomials over a field. The algorithm for kernel basis computation also immediately provides an efficient deterministic algorithm for solving linear systems. The algorithm for column basis also gives efficient deterministic algorithms for computing matrix GCDs, column reduced forms, and Popo

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27

Lee, Jia-Wei, and 李家瑋. "Application of the Clifford algebra valued boundary integral equations with Cauchy-type kernels to some engineering problems." Thesis, 2016. http://ndltd.ncl.edu.tw/handle/02351203973629353925.

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博士<br>國立臺灣海洋大學<br>河海工程學系<br>104<br>The conventional complex variable boundary integral equation (CVBIE) based on the conventional Cauchy integral formula is powerful and suitable to solve two-dimensional problems. In particular, the unknown function is a complex-valued holomorphic function. In other words, the unknown function satisfies the Cauchy-Riemann equations. However, the most part of practical engineering problems are three-dimensional problems and do not necessarily satisfies Cauchy-Riemann equations. Therefore, there are two targets in this dissertation. One is to extend the conventi

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28

Biswas, Prasenjit. "Hardware Consolidation Of Systolic Algorithms On A Coarse Grained Runtime Reconfigurable Architecture." Thesis, 2011. https://etd.iisc.ac.in/handle/2005/2108.

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Application domains such as Bio-informatics, DSP, Structural Biology, Fluid Dynamics, high resolution direction finding, state estimation, adaptive noise cancellation etc. demand high performance computing solutions for their simulation environments. The core computations of these applications are in Numerical Linear Algebra (NLA) kernels. Direct solvers are predominantly required in the domains like DSP, estimation algorithms like Kalman Filter etc, where the matrices on which operations need to be performed are either small or medium sized, but dense. Faddeev's Algorithm is often used for so

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29

Biswas, Prasenjit. "Hardware Consolidation Of Systolic Algorithms On A Coarse Grained Runtime Reconfigurable Architecture." Thesis, 2011. http://etd.iisc.ernet.in/handle/2005/2108.

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Application domains such as Bio-informatics, DSP, Structural Biology, Fluid Dynamics, high resolution direction finding, state estimation, adaptive noise cancellation etc. demand high performance computing solutions for their simulation environments. The core computations of these applications are in Numerical Linear Algebra (NLA) kernels. Direct solvers are predominantly required in the domains like DSP, estimation algorithms like Kalman Filter etc, where the matrices on which operations need to be performed are either small or medium sized, but dense. Faddeev's Algorithm is often used for so

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30

Sen, Samrat. "Geometric invariants for a class of submodules of analytic Hilbert modules." Thesis, 2019. https://etd.iisc.ac.in/handle/2005/4455.

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Let $\Omega \subseteq \mathbb C^m$ be a bounded connected open set and $\mathcal H \subseteq \mathcal O(\Omega)$ be an analytic Hilbert module, i.e., the Hilbert space $\mathcal H$ possesses a reproducing kernel $K$, the polynomial ring $\mathbb C[\underline{z}]\subseteq \mathcal H$ is dense and the point-wise multiplication induced by $p\in \mathbb C[\underline{z}]$ is bounded on $\mathcal H$. We fix an ideal $\mathcal I \subseteq \mathbb C[\underline{z}]$ generated by $p_1,\ldots,p_t$ and let $[\mathcal I]$ denote the completion of $\mathcal I$ in $\mathcal H$. Let $X:[\mathcal I] \to \math

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31

Mascarenhas, Helena. "Convolution type operators on cones and asymptotic spectral theory." Doctoral thesis, 2003. https://monarch.qucosa.de/id/qucosa%3A18097.

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Die Arbeit beschäftigt sich mit Faltungsoperatoren auf Kegeln, die in Lebesgueräumen L^p(R^2) (1<p<\infty) von Funktionen auf der Ebene wirken. Es werden asymptotische Spektraleigenschaften der zugehörigen Finite Sections studiert. Im Falle p=2 (Hilbertraum) wird das Invertierbarkeitsproblem von Operatoren vom Faltungstyp auf Kegeln mit Hilfe der Methode der Standard-Modell-Algebren untersucht.

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