Search for dissertations about: "algebraisk geometri"
Showing result 1 - 5 of 17 swedish dissertations containing the words algebraisk geometri.
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1. Topological and geometrical methods in data analysis
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
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2. Geometric Decompositions and Networks - Approximation Bounds and Algorithms
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
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3. Geometric Models of Similarity
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
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4. Multivariable Orthogonal Polynomials as Coupling Coefficients for Lie and Quantum Algebra Representations
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
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5. Topics in projective algebraic optimization
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