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Nonlocal Methods for Arbitrary Data Sources

Objective

In NoMADS we focus on data processing and analysis techniques which can feature potentially very complex, nonlocal, relationships within the data. In this context, methodologies such as spectral clustering, graph partitioning, and convolutional
neural networks have gained increasing attention in computer science and engineering within the last years, mainly from a combinatorial point of view. However, the use of nonlocal methods is often still restricted to academic pet projects. There is a large gap between the academic theories for nonlocal methods and their practical application to real-world problems. The reason these methods work so well in practice is far from fully understood.
Our aim is to bring together a strong international group of researchers from mathematics (applied and computational analysis, statistics, and optimisation), computer vision, biomedical imaging, and remote sensing, to fill the current gaps between theory and applications of nonlocal methods. We will study discrete and continuous limits of nonlocal models by means of mathematical analysis and optimisation techniques, resulting in investigations on scale-independent
properties of such methods, such as imposed smoothness of these models and their stability to noisy input data, as well as the development of resolution-independent, efficient and reliable computational techniques which scale well
with the size of the input data. As an overarching applied theme we focus in particular on image data arising in biology and medicine, which offers a rich playground for structured data processing and has direct impact on society, as well as discrete point clouds, which represent an ambitious target for unstructured data processing. Our long-term vision is to discover fundamental mathematical principles for the characterisation of nonlocal operators, the development of new robust and efficient algorithms, and the implementation of those in high quality software products for real-world application.

Coordinator

FRIEDRICH-ALEXANDER-UNIVERSITAET ERLANGEN-NUERNBERG
Net EU contribution
€ 166 500,00
Address
Schlossplatz 4
91054 Erlangen
Germany

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Region
Bayern Mittelfranken Erlangen, Kreisfreie Stadt
Activity type
Higher or Secondary Education Establishments
Non-EU contribution
€ 0,00

Participants (24)

UNIVERSIDAD POMPEU FABRA
Spain
Net EU contribution
€ 22 500,00
Address
Placa De La Merce, 10-12
08002 Barcelona

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Region
Este Cataluña Barcelona
Activity type
Higher or Secondary Education Establishments
Non-EU contribution
€ 0,00
UNIVERSITE DE BORDEAUX
France
Net EU contribution
€ 76 500,00
Address
Place Pey Berland 35
33000 Bordeaux

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Region
Nouvelle-Aquitaine Aquitaine Gironde
Activity type
Higher or Secondary Education Establishments
Non-EU contribution
€ 0,00
UNIVERSITE DE CAEN NORMANDIE
France
Net EU contribution
€ 36 000,00
Address
Esplanade De La Paix
14032 Caen Cedex 5

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Region
Normandie Basse-Normandie Calvados
Activity type
Higher or Secondary Education Establishments
Non-EU contribution
€ 0,00
ECOLE NATIONALE SUPERIEURE D'INGENIEURS DE CAEN
France
Net EU contribution
€ 54 000,00
Address
Boulevard Marechal Juin 6
14050 Caen

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Region
Normandie Basse-Normandie Calvados
Activity type
Higher or Secondary Education Establishments
Non-EU contribution
€ 0,00
THE CHANCELLOR MASTERS AND SCHOLARS OF THE UNIVERSITY OF CAMBRIDGE
United Kingdom
Net EU contribution
€ 238 500,00
Address
Trinity Lane The Old Schools
CB2 1TN Cambridge

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Region
East of England East Anglia Cambridgeshire CC
Activity type
Higher or Secondary Education Establishments
Non-EU contribution
€ 0,00
UNIVERSITA DEGLI STUDI DI GENOVA
Italy
Net EU contribution
€ 40 500,00
Address
Via Balbi 5
16126 Genova

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Region
Nord-Ovest Liguria Genova
Activity type
Higher or Secondary Education Establishments
Non-EU contribution
€ 0,00
TECHNION - ISRAEL INSTITUTE OF TECHNOLOGY
Israel
Net EU contribution
€ 36 000,00
Address
Senate Building Technion City
32000 Haifa

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Activity type
Higher or Secondary Education Establishments
Non-EU contribution
€ 0,00
INSTITUTO SUPERIOR TECNICO
Portugal
Net EU contribution
€ 54 000,00
Address
Avenida Rovisco Pais 1
1049 001 Lisboa

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Region
Continente Área Metropolitana de Lisboa Área Metropolitana de Lisboa
Activity type
Higher or Secondary Education Establishments
Non-EU contribution
€ 0,00
POLITECNICO DI MILANO

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Italy
Net EU contribution
€ 0,00
Address
Piazza Leonardo Da Vinci 32
20133 Milano

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Region
Nord-Ovest Lombardia Milano
Activity type
Higher or Secondary Education Establishments
Non-EU contribution
€ 0,00
THE UNIVERSITY OF NOTTINGHAM
United Kingdom
Net EU contribution
€ 45 000,00
Address
University Park
NG7 2RD Nottingham

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Region
East Midlands (England) Derbyshire and Nottinghamshire Nottingham
Activity type
Higher or Secondary Education Establishments
Non-EU contribution
€ 0,00
ECOLE POLYTECHNIQUE

Participation ended

France
Net EU contribution
€ 4 500,00
Address
Route De Saclay
91128 Palaiseau Cedex

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Region
Ile-de-France Ile-de-France Essonne
Activity type
Higher or Secondary Education Establishments
Non-EU contribution
€ 0,00
UNIVERSITEIT TWENTE
Netherlands
Net EU contribution
€ 58 500,00
Address
Drienerlolaan 5
7522 NB Enschede

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Region
Oost-Nederland Overijssel Twente
Activity type
Higher or Secondary Education Establishments
Non-EU contribution
€ 0,00
UNIVERSITE LYON 1 CLAUDE BERNARD
France
Net EU contribution
€ 31 500,00
Address
Boulevard Du 11 Novembre 1918 Num43
69622 Villeurbanne Cedex

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Region
Auvergne-Rhône-Alpes Rhône-Alpes Rhône
Activity type
Higher or Secondary Education Establishments
Non-EU contribution
€ 0,00
ASTRAZENECA UK LIMITED
United Kingdom
Net EU contribution
€ 0,00
Address
1 Francis Crick Avenue Cambridge Biomedical Campus
CB2 0AA Cambridge

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Region
East of England East Anglia Cambridgeshire CC
Activity type
Private for-profit entities (excluding Higher or Secondary Education Establishments)
Non-EU contribution
€ 0,00
MEDIGUIDE LTD

Participation ended

Israel
Net EU contribution
€ 0,00
Address
Matam
3190500 Haifa

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Activity type
Private for-profit entities (excluding Higher or Secondary Education Establishments)
Non-EU contribution
€ 0,00
CAMELOT BIOMEDICAL SYSTEMS SRL
Italy
Net EU contribution
€ 27 000,00
Address
Via Ponte Reale 2/20
16124 Genova

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Region
Nord-Ovest Liguria Genova
Activity type
Private for-profit entities (excluding Higher or Secondary Education Establishments)
Non-EU contribution
€ 0,00
THE MATHWORKS LIMITED
United Kingdom
Net EU contribution
€ 0,00
Address
Matrix House Cowley Park
CB4 0HH Cambridge Cambs

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Region
East of England East Anglia Cambridgeshire CC
Activity type
Private for-profit entities (excluding Higher or Secondary Education Establishments)
Non-EU contribution
€ 0,00
CLK GMBH
Germany
Net EU contribution
€ 0,00
Address
Zur Steinkuhle 3
48341 Altenberge

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SME

The organization defined itself as SME (small and medium-sized enterprise) at the time the Grant Agreement was signed.

Yes
Region
Nordrhein-Westfalen Münster Steinfurt
Activity type
Private for-profit entities (excluding Higher or Secondary Education Establishments)
Non-EU contribution
€ 0,00
DATEXIM
France
Net EU contribution
€ 0,00
Address
51 Avenue De La Cote De Nacre Pericentre 5
14000 Caen

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SME

The organization defined itself as SME (small and medium-sized enterprise) at the time the Grant Agreement was signed.

Yes
Region
Normandie Basse-Normandie Calvados
Activity type
Private for-profit entities (excluding Higher or Secondary Education Establishments)
Non-EU contribution
€ 0,00
CLINICAL SCIENCE SYSTEMS
Netherlands
Net EU contribution
€ 0,00
Address
Rijnsburgerweg 10
2333 AA Leiden

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SME

The organization defined itself as SME (small and medium-sized enterprise) at the time the Grant Agreement was signed.

Yes
Region
West-Nederland Zuid-Holland Agglomeratie Leiden en Bollenstreek
Activity type
Private for-profit entities (excluding Higher or Secondary Education Establishments)
Non-EU contribution
€ 0,00
WESTFAELISCHE WILHELMS-UNIVERSITAET MUENSTER
Germany
Net EU contribution
€ 94 500,00
Address
Schlossplatz 2
48149 Muenster

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Region
Nordrhein-Westfalen Münster Münster, Kreisfreie Stadt
Activity type
Higher or Secondary Education Establishments
Non-EU contribution
€ 0,00
TECHNISCHE UNIVERSITEIT DELFT
Netherlands
Net EU contribution
€ 36 000,00
Address
Stevinweg 1
2628 CN Delft

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Region
West-Nederland Zuid-Holland Delft en Westland
Activity type
Higher or Secondary Education Establishments
Non-EU contribution
€ 0,00
UNIVERSITE COTE D'AZUR
France
Net EU contribution
€ 63 000,00
Address
Grand Chateau 28 Avenue Valrose
06100 Nice

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Region
Provence-Alpes-Côte d’Azur Provence-Alpes-Côte d’Azur Alpes-Maritimes
Activity type
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€ 0,00
THE UNIVERSITY OF MANCHESTER
United Kingdom
Net EU contribution
€ 27 000,00
Address
Oxford Road
M13 9PL Manchester

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Region
North West (England) Greater Manchester Manchester
Activity type
Higher or Secondary Education Establishments
Non-EU contribution
€ 0,00

Partners (2)

Partner

Partner organisations contribute to the implementation of the action, but do not sign the Grant Agreement.

THE REGENTS OF THE UNIVERSITY OF CALIFORNIA
United States
Net EU contribution
€ 0,00
Address
Franklin Street 1111 12 Floor
94607 Oakland Ca

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Activity type
Higher or Secondary Education Establishments
Non-EU contribution
€ 0,00
Partner

Partner organisations contribute to the implementation of the action, but do not sign the Grant Agreement.

CARNEGIE MELLON UNIVERSITY
United States
Net EU contribution
€ 0,00
Address
Forbes Avenue 5000
15213 Pittsburgh

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Activity type
Higher or Secondary Education Establishments
Non-EU contribution
€ 0,00