Objective
Multi-Way factor Analysis (MWA) is attracting growing interest in many disciplines of engineering, as described in this proposal. Because the applications are much more numerous than those that serve as focus for this project, the tools developed in the framework of the project will have major impact. MWA is probably the simplest extension of the well-known (linear) Factor Analysis. However, despite its extremely wide panel of applications and its apparently simple expression, it still, surprisingly, lacks theoretical background. The reason is that this identification problem disguises challenges of unexpected magnitude. In fact, several tensor problems still remain open for several decades, and the difficulties should not be overlooked. Yet, the lack of identifiability results (existence, uniqueness) prevents the design of efficient numerical algorithms.
The first objective is to address these theoretical problems and develop appropriate identification algorithms. Multilinear models underlying MWA are shown to be closely related to tensor algebra and multivariate polynomials, so that tools can be borrowed from Algebraic Geometry, with the goal of developing theoretical solutions and numerical algorithms. The second objective is to apply these solutions to practical problems in various realms of application. In particular, it centers on creating modified models, better matched to analysis of health (e.g. EEG) or environmental data (e.g. water resources, microbial ecosystems), to analyzing their identifiability, and to developing corresponding identification algorithms. The final goal is to design a device able to detect and track suspect or toxic molecules in river or tap waters.
This very challenging research proposal is positioned in close collaboration with specialists in the above-mentioned application fields, and is at the core of European population health.
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: https://op.europa.eu/en/web/eu-vocabularies/euroscivoc.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: https://op.europa.eu/en/web/eu-vocabularies/euroscivoc.
- natural sciences computer and information sciences data science
- natural sciences earth and related environmental sciences hydrology
- natural sciences biological sciences ecology ecosystems
- natural sciences mathematics pure mathematics geometry
- natural sciences mathematics pure mathematics algebra algebraic geometry
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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.
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.
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.
ERC-2012-ADG_20120216
See other projects for this call
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.
Host institution
75794 PARIS
France
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.