Search for dissertations about: "tensor product decomposition"

Showing result 1 - 5 of 6 swedish dissertations containing the words tensor product decomposition.

  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. Tensor Products of Highest Weight Representations and Skew-Symmetric Matrix Equations A+B+C=0

    Author : Ida Säfström; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Highest weight respresentation; tensor product decomposition; orthogonal algebra; skew-symmetric matrix; Horn’s conjecture; moment map; coadjoint orbit; flag manifold; general linear algebra; infinite dimensional unitary representation; general linear algebra;

    Abstract : The question of characterizing the eigenvalues for the sum of two Hermitian matrices, was solved in 1999, after almost a century of efforts. The saturation conjecture for GL_C(n) was proven by Knutson and Tao, filling in the last gap in Horn’s conjecture. READ MORE

  5. 3. Exercising Mathematical Competence: Practising Representation Theory and Representing Mathematical Practice

    Author : Anna Ida Säfström; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; SAMHÄLLSVETENSKAP; SOCIAL SCIENCES; Mathematical competence; exercising competencies; young children; whole number arithmetic; tertiary level; proving; highest weight representation; tensor product decomposition; skew-symmetric matrix; moment map; infinite dimensional unitary representation; highest weight representation;

    Abstract : This thesis assembles two papers in mathematics and two papers in mathematics education. In the mathematics part, representation theory is practised. Two Clebsch-Gordan type problems are addressed. READ MORE

  6. 4. Algorithms in data mining : reduced rank regression and classification by tensor methods

    Author : Berkant Savas; Linköpings universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; MATHEMATICS; MATEMATIK;

    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

  7. 5. Data-Driven Approaches for Sparse Reflectance Modeling and Acquisition

    Author : Tanaboon Tongbuasirilai; Jonas Unger; Ehsan Miandji; Jakob Wenzel; Linköpings universitet; []
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; BRDF; Reflectance modeling; Sparse representation; Compressed sensing; Factorization;

    Abstract : Photo-realistic rendering and predictive image synthesis are becoming increasingly important and utilized in many application areas ranging from production of visual effects and product visualization to digital design and the generation of synthetic data for visual machine learning applications. Many essential components of the realistic image synthesis pipelines have been developed tremendously over the last decades. READ MORE