Objetivo Models and Algorithms for Graph centrality grounded on Nonlinear Eigenvalues TechniquesThe main objective of the project is to use nonlinear eigenvalue equations to model the importance of components in complex, large-scale and time-varying networks. Based on the nonlinear Perron-Frobenius theory, we will develop the theory to rigorously formalize the model from a mathematical viewpoint (existence, uniqueness, maximality). Based on the nonlinear spectral method for multi-homogeneous functions, we will develop numerical methods to compute the vector of nonlinear importances of the nodes. We will develop convergence analysis and quality guarantees for the algorithms and will use the methods to investigate the influence of nodes in large-scale networks arising from real-world applications. These theoretical and algorithmic advances will contribute the highly active research field of network centrality.Current tools for network centrality are based on linear models, and they can be shown to be inadequate in many realistic scenarios. The new methods developed here will have provably better performance. In addition to theoretical validation, the tools will be tested and refined on realistic data sets supplied by collaborators and external partners associated with the Institute for Future Cities at the University of Strathclyde.The Researcher's expertise include nonlinear eigenvalue theory, graph theory and their use in machine learning. The Host and the research group at University of Strathclyde have strong internationally recognized experience in mathematics of network science and numerical mathematics. Thus the two-way transfer of knowledge will ensure to reach the research goals with highest quality and impact. Moreover, this will represent a great training opportunity for the researcher to jump-start his academic career. Ámbito científico natural sciencesmathematicspure mathematicsalgebralinear algebranatural sciencesbiological sciencesbiochemistrybiomoleculesproteinsproteomicsnatural sciencesmathematicspure mathematicsdiscrete mathematicsgraph theorynatural sciencesmathematicsapplied mathematicsnumerical analysisnatural sciencesmathematicsapplied mathematicsmathematical model Programa(s) H2020-EU.1.3. - EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions Main Programme H2020-EU.1.3.2. - Nurturing excellence by means of cross-border and cross-sector mobility Tema(s) MSCA-IF-2016 - Individual Fellowships Convocatoria de propuestas H2020-MSCA-IF-2016 Consulte otros proyectos de esta convocatoria Régimen de financiación MSCA-IF-EF-ST - Standard EF Coordinador UNIVERSITY OF STRATHCLYDE Aportación neta de la UEn € 183 454,80 Dirección Richmond Street 16 G1 1XQ Glasgow Reino Unido Ver en el mapa Región Scotland West Central Scotland Glasgow City Tipo de actividad Higher or Secondary Education Establishments Enlaces Contactar con la organización Opens in new window Sitio web Opens in new window Participación en los programas de I+D de la UE Opens in new window Red de colaboración de HORIZON Opens in new window Coste total € 183 454,80