Objective
Models and Algorithms for Graph centrality grounded on Nonlinear Eigenvalues Techniques
The 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.
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
- natural sciences mathematics pure mathematics algebra linear algebra
- natural sciences biological sciences biochemistry biomolecules proteins proteomics
- natural sciences mathematics pure mathematics discrete mathematics graph theory
- natural sciences mathematics applied mathematics numerical analysis
- natural sciences mathematics applied mathematics mathematical model
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Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
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H2020-EU.1.3. - EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions
MAIN PROGRAMME
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H2020-EU.1.3.2. - Nurturing excellence by means of cross-border and cross-sector mobility
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Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
MSCA-IF-EF-ST - Standard EF
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Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
(opens in new window) H2020-MSCA-IF-2016
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Net EU financial contribution. The sum of money that the participant receives, deducted by the EU contribution to its linked third party. It considers the distribution of the EU financial contribution between direct beneficiaries of the project and other types of participants, like third-party participants.
G1 1XQ Glasgow
United Kingdom
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.