Search for dissertations about: "Product manifolds"

Showing result 1 - 5 of 13 swedish dissertations containing the words Product manifolds.

  2. 1. Algorithms in data mining using matrix and tensor methods

    Author : Berkant Savas; Lars Eldén; Lieven De Lathauwer; Linköpings universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Volume; Minimization criterion; Determinant; Rank deficient matrix; Reduced rank regression; System identification; Rank reduction; Volume minimization; General algorithm; Handwritten digit classification; Tensors; Higher order singular value decomposition; Tensor approximation; Least squares; Tucker model; Multilinear algebra; Notation; Contraction; Tensor matricization; Newton s method; Grassmann manifolds; Product manifolds; Quasi-Newton algorithms; BFGS and L-BFGS; Symmetric tensor approximation; Local intrinsic coordinates; Global embedded coordinates; ; Numerical analysis; Numerisk analys;

    Abstract : In many fields of science, engineering, and economics large amounts of data are stored and there is a need to analyze these data in order to extract information for various purposes. Data mining is a general concept involving different tools for performing this kind of analysis. READ MORE

  4. 2. The Bergman Kernel on Toric Kähler Manifolds

    Author : Florian T. Pokorny; Michael Singer; Toby Bailey; The University of Edinburgh School of Mathematics; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : Let $(L,h)\to (X, \omega)$ be a compact toric polarized Kähler manifold of complex dimension $n$. For each $k\in N$, the fibre-wise Hermitian metric $h^k$ on $L^k$ induces a natural inner product on the vector space $C^{\infty}(X, L^k)$ of smooth global sections of $L^k$ by integration with respect to the volume form $\frac{\omega^n}{n!}$. READ MORE

  5. 3. BRST and Topological Gauge Theories

    Author : Niclas Sandström; Chalmers tekniska högskola; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; gauge theory; BRST-quantization; topological field theory; BV-quantization; almost product structure APS ; superfield formulation;

    Abstract : In this thesis, the BRST-quantization of gauge theories is discussed. A detailed analysis of the BRST-quantization on inner product spaces is performed for a class of abelian models, including reparametrization invariant ones. General rules how to obtain physical wave functions and propagators are proposed. READ MORE

  6. 4. On various aspects of extended objects

    Author : Mariusz Hynek; Jens Hoppe; Volker Bach; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

    Abstract : This thesis concerns classical and quantum aspects of minimal manifolds embedded in flat Minkowski space. In particular, we study the Lie algebra of diffeomorphisms on 2 dimensional compact manifolds as well as discuss singularity formation for relativistic minimal surfaces in co-dimension one. READ MORE

  7. 5. Free loop spaces, Koszul duality and A-infinity algebras

    Author : Kaj Börjeson; Alexander Berglund; Pascal Lambrechts; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Koszul duality; free loop spaces; a-infinity algebras; BV-algebras; string topology; Mathematics; matematik;

    Abstract : This thesis consists of four papers on the topics of free loop spaces, Koszul duality and A∞-algebras. In Paper I we consider a definition of differential operators for noncommutative algebras. This definition is inspired by the connections between differential operators of commutative algebras, L∞-algebras and BV-algebras. READ MORE