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Content archived on 2024-06-18

Harmonic Analysis for optimal coding and the design principles of brain's Visual corteX

Objective

HAViX is an interdisciplinary project on the interplay between frame theory, nonlinear approximation and group theory, aimed to obtain results relevant to the understanding of the functional architecture of brain's visual cortex and to applications to artificial vision.

The objectives are highly relevant mathematical results with respect to deep current problems in harmonic analysis, and concern the characterization of noncommutative shift-invariant systems, the study of geometric properties of continuous wavelet transforms and the introduction of new techniques in nonlinear approximation. New approaches will be developed to address such topics, involving techniques from different areas of mathematical analysis such as abstract harmonic analysis and noncommutative Fourier duality, complex analysis, geometric and nonlinear analysis on groups.

The expected results will permit to severely improve the present models of the functional architecture of the visual cortex and provide solid instruments for geometric data encoding and compression.

The proposed mobility is from France, research center CAMS, mixed unit CNRS - EHESS, to Spain, Autonoma University of Madrid, Mathematics Department, and is motivated by the complementarity of competencies between the applicant, D. Barbieri, whose research activity in Italy and France allowed him to develop a strong interdisciplinary experience on different techniques of Analysis on Groups and on Modeling of the Visual Cortex, and the Scientist in Charge, E. Hernandez, who has an extremely high research expertise in Wavelet Theory, Nonlinear Approximation and Function Spaces, and belongs to a Host Institution that is a world excellence in Harmonic Analysis.

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.

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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.

Call for proposal

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

FP7-PEOPLE-2013-IEF
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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.

MC-IEF - Intra-European Fellowships (IEF)

Coordinator

UNIVERSIDAD AUTONOMA DE MADRID
EU contribution
€ 166 336,20
Address
CALLE EINSTEIN 3 CIUDAD UNIV CANTOBLANCO RECTORADO
28049 MADRID
Spain

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Region
Comunidad de Madrid Comunidad de Madrid Madrid
Activity type
Higher or Secondary Education Establishments
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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.

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