Skip to main content
Go to the home page of the European Commission (opens in new window)
English English
CORDIS - EU research results
CORDIS
Content archived on 2024-06-18

Structured low-rank approximation: Theory, algorithms, and applications

Objective

Today's state-of-the-art methods for data processing are model based. We propose a fundamentally new approach that does not depend on an explicit model representation and can be used for model-free data processing. From a theoretical point of view, the prime advantage of the newly proposed paradigm is conceptual unification of existing methods. From a practical point of view, the proposed paradigm opens new possibilities for development of computational methods for data processing.

The underlying computational tool in the proposed setting is low-rank approximation. Recent work by the applicant, co-workers, and others has demonstrated advantages of computational methods based on low-rank approximation over classical methods, based on solution of linear systems of equations. In this proposal, we will further advance the theory and algorithms for low-rank approximation by developing robust and efficient local optimisation methods and methods based on convex relaxations.

Low-rank approximation has applications in systems and control, signal processing, computer algebra, and machine learning, to name a few. Generic examples in system theory and signal processing are model reduction and system identification. Dimensionality reduction, classification, and information retrieval problems in machine learning can be formulated and solved as low-rank approximation problems, thus benefiting from the theory, algorithms, and numerical software tools developed in this research proposal. Beyond the scope of the proposal, we envisage that the newly proposed paradigm will catalyse cross-disciplinary research, leading to selection of the best theoretical tools and computational methods available as well as development of new ones by a synergy of ideas from different application domains.

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.

You need to log in or register to use this function

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.

Call for proposal

Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.

ERC-2010-StG_20091028
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.

ERC-SG - ERC Starting Grant

Host institution

VRIJE UNIVERSITEIT BRUSSEL
EU contribution
€ 563 852,00
Address
PLEINLAAN 2
1050 BRUSSEL
Belgium

See on map

Region
Région de Bruxelles-Capitale/Brussels Hoofdstedelijk Gewest Région de Bruxelles-Capitale/ Brussels Hoofdstedelijk Gewest Arr. de Bruxelles-Capitale/Arr. Brussel-Hoofdstad
Activity type
Higher or Secondary Education Establishments
Links
Total cost

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.

No data

Beneficiaries (2)

My booklet 0 0