Sökning: "Sandra di Rocco"
Visar resultat 1 - 5 av 7 avhandlingar innehållade orden Sandra di Rocco.
1. Algebraic C*-actions and homotopy continuation
Sammanfattning : Let X be a smooth projective variety over C equipped with a C*-action whose fixed points are isolated. Let Y and Z be subvarieties of complementary dimentions in X which intersect properly. LÄS MER
2. Topics in computation, numerical methods and algebraic geometry
Sammanfattning : This thesis concerns computation and algebraic geometry. On the computational side we have focused on numerical homotopy methods. These procedures may be used to numerically solve systems of polynomial equations. The thesis contains four papers. LÄS MER
3. Topics in projective algebraic optimization
Sammanfattning : 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. LÄS MER
4. Topological and geometrical methods in data analysis
Sammanfattning : 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. LÄS MER
5. Topics in Computational Algebraic Geometry and Deformation Quantization
Sammanfattning : This thesis consists of two parts, a first part on computations in algebraic geometry, and a second part on deformation quantization. More specifically, it is a collection of four papers. In the papers I, II and III, we present algorithms and an implementation for the computation of degrees of characteristic classes in algebraic geometry. LÄS MER
