Sökning: "Convexity"
Visar resultat 11 - 15 av 46 avhandlingar innehållade ordet Convexity.
11. Convexity and norm in topological groups
Sammanfattning : .... LÄS MER
12. Scalable Optimization Methods for Machine Learning : Acceleration, Adaptivity and Structured Non-Convexity
Sammanfattning : This thesis aims at developing efficient optimization algorithms for solving large-scale machine learning problems. To cope with the increasing scale and complexity of such models, we focus on first-order and stochastic methods in which updates are carried out using only (noisy) information about function values and (sub)gradients. LÄS MER
13. Mathematics and mathematics education - two sides of the same coin : creative reasoning in university exams in mathematics
Sammanfattning : Avhandlingen består av två ganska olika delar som ändå har en del gemensamt. Del A är baserad på två artiklar i matematik och del B är baserad på två matematikdidaktiska artiklar. De matematiska artiklarna utgår från ett begrepp som heter polynomkonvexitet. LÄS MER
14. Clarkson type inequalities and geometric properties of banach spaces
Sammanfattning : In this thesis Clarkson's inequalities and their generalizations are the main tools. The technique that can be used to prove Clarkson type inequalities in more dimensions is shown. We also establish Clarkson type inequalities in general Banach spaces and point out the connections between Clarkson's inequalities and the concept of type and cotype. LÄS MER
15. Path-planning with obstacle-avoiding minimum curvature variation B-splines
Sammanfattning : We study the general problem of computing an obstacle-avoiding path that, for a prescribed weight, minimizes the weighted sum of a smoothness measure and a safety measure of the path. We consider planar curvature-continuous paths, that are functions on an interval of a room axis, for a point-size vehicle amidst obstacles. LÄS MER