Search for dissertations about: "algebraisk geometri"

Showing result 1 - 5 of 17 swedish dissertations containing the words algebraisk geometri.

  2. 1. Topological and geometrical methods in data analysis

    Author : Oliver Gäfvert; Sandra di Rocco; Henry Schenck; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; multiparameter persistent homology; computational algebraic geometry; algorithms; complexity; Mathematics; Matematik;

    Abstract : This thesis concerns two related data analysis pipelines, using topological and geometrical methods respectively, to extract relevant information. The first pipeline, referred to as the topological data analysis (TDA) pipeline, constructs a filtered simplicial complex on a given data set in order to describe its shape. READ MORE

  4. 2. Geometric Decompositions and Networks - Approximation Bounds and Algorithms

    Author : Joachim Gudmundsson; Institutionen för datavetenskap; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; computer technology; Systems engineering; kontroll; system; Delaunay triangulation; Computational geometry; TSP with neighborhoods; geometric spanners; covering polygons; Computer science; numerical analysis; systems; control; numerisk analys; Datalogi; algebraisk topologi; algebraic topology; Geometry; Data- och systemvetenskap; Geometri;

    Abstract : In this thesis we focus on four problems in computational geometry: In the first four chapters we consider the problem of covering an arbitrary polygon with simpler polygons, i.e., rectangles. READ MORE

  5. 3. Geometric Models of Similarity

    Author : Mikael Johannesson; Kognitionsvetenskap; []
    Keywords : HUMANIORA; HUMANITIES; symmetry; similarity; separable dimensions; prominence; multidimensional scaling; Minkowski metric; machine learning; integral dimensions; familiarity; geometric models; distance metric; asymmetry; conceptual spaces; Computer science; numerical analysis; systems; control; Datalogi; numerisk analys; system; kontroll; Geometry; algebraic topology; Geometri; algebraisk topologi;

    Abstract : This dissertation examines and discusses some phenomena related to the geometric representation of similarity. It takes its inspiration from the existing body of empirical research within the fields of perceptual and cognitive psychology, but also connects to certain areas of machine learning. READ MORE

  6. 4. Multivariable Orthogonal Polynomials as Coupling Coefficients for Lie and Quantum Algebra Representations

    Author : Hjalmar Rosengren; Matematik (naturvetenskapliga fakulteten); []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; higher order Hankel form; Wigner symbol; quadratic algebra; Clebsch-Gordan coefficient; quantum group; Lie group; highest weight representation; multivariable orthogonal and biorthogonal polynomials; multivariable hypergeometric and basic hypergeometric functions; algebraisk topologi; Geometry; Geometri; algebraic topology;

    Abstract : The main topic of the thesis is the connection between representation theory and special functions. We study matrix elements, coupling coefficient, and recoupling coefficients for the simplest Lie and quantum groups. READ MORE

  7. 5. Topics in projective algebraic optimization

    Author : Lukas Gustafsson; Sandra Di Rocco; Kathlén Kohn; Cordian Riener; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : This thesis explores optimization challenges within algebraic statistics, employing both topological and geometrical methodologies to derive new insights. The main focus is the optimization degree of nearest point and Gaussian maximum likelihood estimation problems with algebraic constraints. READ MORE