Sökning: "Quasi-Newton algorithms"

Visar resultat 1 - 5 av 9 avhandlingar innehållade orden Quasi-Newton algorithms.

  1. 1. Numerical algorithms for nonlinear eigenproblems with eigenvector nonlinearities

    Författare :Parikshit Upadhyaya; Elias Jarlebring; Robert Corless; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; numerical algorithms; nonlinear eigenproblems; multiparameter eigenvalue problem; nonlinear eigenvalue problem; eigenvector nonlinearities; nepv; scf; p-laplacian; quasi-newton; Numerical Analysis; Numerisk analys;

    Sammanfattning : Eigenproblems and their nonlinear generalizations appear as important problems in a wide variety of fields, ranging from quantum chemistry and vibration analysis to macroeconomics and data science. Hence, the development and analysis of numerical algorithms to solve such problems has a broad multiplicative effect on our ability to answer several crucial scientific questions. LÄS MER

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

    Författare :Berkant Savas; Lars Eldén; Lieven De Lathauwer; Linköpings universitet; []
    Nyckelord :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;

    Sammanfattning : 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. LÄS MER

  4. 3. Numerical Algorithms for Optimization Problems in Genetical Analysis

    Författare :Kateryna Mishchenko; Sverker Holmgren; Dmitrii Silvestrov; Lars Rönnegård; Ann-Charlotte Berglund Sonnhammer; Mälardalens högskola; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Quantitative Trait Loci QTL ; restricted maximum likelihood REML ; variance components; average information AI matrix; Local optimization; Quasi-Newton method; Active Set method; Hessian approximation; BFGS update; Applied mathematics; Tillämpad matematik; Matematik tillämpad matematik;

    Sammanfattning : The focus of this thesis is on numerical algorithms for efficient solution of QTL analysis problem in genetics.Firstly, we consider QTL mapping problems where a standard least-squares model is used for computing the model fit. LÄS MER

  5. 4. Novel Hessian approximations in optimization algorithms

    Författare :Erik Berglund; Mikael Johansson; Pontus Giselsson; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Electrical Engineering; Elektro- och systemteknik;

    Sammanfattning : There are several benefits of taking the Hessian of the objective function into account when designing optimization algorithms. Compared to using strictly gradient-based algorithms, Hessian-based algorithms usually require fewer iterations to converge. LÄS MER

  7. 5. Vehicle Size and Orientation Estimation Using Geometric Fitting

    Författare :Christina Carlsson; Mille Millnert; Linköpings universitet; []
    Nyckelord :TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY;

    Sammanfattning : Over the years imaging laser radar systems have been developed for both military and civilian applications. Among the applications we note collection of 3D data for terrain modelling and object recognition. One part of the object recognition process is to estimate the size and orientation of the object. LÄS MER