Search for dissertations about: "Rank reduction"

Showing result 1 - 5 of 40 swedish dissertations containing the words Rank reduction.

  2. 1. Rank Reduction with Convex Constraints

    Author : Christian Grussler; Institutionen för reglerteknik; []
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; low-rank approximation; model reduction; non-convex optimization; Douglas-Rachford; matrix completion; overlapping norm; k-support norm; atomic norm;

    Abstract : This thesis addresses problems which require low-rank solutions under convex constraints. In particular, the focus lies on model reduction of positive systems, as well as finite dimensional optimization problems that are convex, apart from a low-rank constraint. READ MORE

  4. 2. 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

  5. 3. Modeling and Model Reduction by Analytic Interpolation and Optimization

    Author : Giovanna Fanizza; Anders Lindquist; György Michaletzky; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Analytic Interpolation theory with a degree constraint; rational covariance extension problem; spectral estimation; model reduction; optimization; passive system; Optimization; systems theory; Optimeringslära; systemteori;

    Abstract : This thesis consists of six papers. The main topic of all these papers is modeling a class of linear time-invariant systems. The system class is parameterized in the context of interpolation theory with a degree constraint. READ MORE

  6. 4. On subspace-based instrumental variable methods with application to time-varying systems

    Author : Tony Gustafsson; Chalmers tekniska högskola; []
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; recursive algorithms; change-detection; subspace tracking; system identification; direction of arrival estimation; instrumental variables; subspace methods; correlated noise fields; rank reduction; state-space models;

    Abstract : .... READ MORE

  7. 5. 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