Opendata, web and dolomites

NORIA SIGNED

Numerical Optimal tRansport for ImAging

Total Cost €

0

EC-Contrib. €

0

Partnership

0

Views

0

 NORIA project word cloud

Explore the words cloud of the NORIA project. It provides you a very rough idea of what is the project "NORIA" about.

color    graphics    regularization    bottlenecks    provides    optimization    intuitive    flows    sensitive    distributions    probability    practical    geometric    metric    give    noria    broad    ing    point    parallelizable    exploration    spaces    time    bregman    restricted    school    embodiment    computer    generation    tool    algorithms    favorable    fast    standard    neuroimaging    consumes    divergences    framework    stochastic    algorithmic    imaging    niche    manipulate    alternatives    suitable    mathematically    interfaced    clouds    distances    compare    entropic    powerful    barely    reaching    euclidean    optimal    quantization    opportunity    wealth    material    members    transport    confidential    imag    notably    hinders    computations    routinely    texture    sense    vision    naively    metrics    rely    language    mathematical    flagship    principles    data    gradient    visual    players    breakthroughs    theory    computational    substantial    theoretical    scripting    science    schemes    ot    cortex    sciences    favorably    codes    synthesis    outputs    numerical   

Project "NORIA" data sheet

The following table provides information about the project.

Coordinator
CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS 

Organization address
address: RUE MICHEL ANGE 3
city: PARIS
postcode: 75794
website: www.cnrs.fr

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country France [FR]
 Total cost 1˙996˙720 €
 EC max contribution 1˙996˙720 € (100%)
 Programme 1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC))
 Code Call ERC-2016-COG
 Funding Scheme ERC-COG
 Starting year 2017
 Duration (year-month-day) from 2017-10-01   to  2022-09-30

 Partnership

Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS FR (PARIS) coordinator 1˙996˙720.00

Map

 Project objective

Optimal Transport (OT) theory provides a powerful framework to manipulate probability distributions using simple and intuitive geometric principles. OT distances compare favorably to all other alternatives, notably Euclidean metrics or information divergences, whose outputs are particularly sensitive to changes in quantization and are not suitable to compare point clouds. Because of these and many more favorable properties, OT should be a standard tool in imaging sciences where probability distributions are routinely used. However, at this time, OT is but a confidential tool restricted to niche applications. OT is barely used because it is complex mathematically, which hinders its dissemination in more applied fields, and because it consumes substantial computational resources when used naively. NORIA will address these two bottlenecks and develop the next generation of theoretical, numerical and algorithmic advances to enable large-scale optimal transport computations in imag- ing sciences. The algorithms developed by NORIA will rely on several mathematical breakthroughs: highly parallelizable entropic regularization schemes, Bregman stochastic optimization and gradient flows for metric spaces. They will be implemented using fast optimization codes that will be interfaced through a high-level, easy to use, scripting language. These algorithms will have far reaching applications in imaging sciences and data science in a broad sense. In particular, they will be used in three flagship applications: color and material processing in computer graphics, texture analysis and synthesis in computer vision, and exploration of the visual cortex in neuroimaging. NORIA’s members are key players in the European mathematical school of optimal transport, which is very strong. NORIA is the unique opportunity to give a computational and practical embodiment to this wealth of theoretical knowledge.

 Publications

year authors and title journal last update
List of publications.
2019 A. Genevay, L. Chizat, F. Bach, M. Cuturi, G. Peyré
Sample Complexity of Sinkhorn divergences
published pages: , ISSN: , DOI:
Proc AISTATS2019 2019-08-05
2018 Jingwei Liang, Jalal Fadili, Gabriel Peyré
Local linear convergence analysis of Primal–Dual splitting methods
published pages: 821-853, ISSN: 0233-1934, DOI: 10.1080/02331934.2018.1426584
Optimization 67/6 2019-08-06
2018 Lénaïc Chizat, Gabriel Peyré, Bernhard Schmitzer, François-Xavier Vialard
An Interpolating Distance Between Optimal Transport and Fisher–Rao Metrics
published pages: 1-44, ISSN: 1615-3375, DOI: 10.1007/s10208-016-9331-y
Foundations of Computational Mathematics 18/1 2019-08-06
2019 C. Poon, N. Keriven, G. Peyré
Support localization and the fisher metric for off-the-grid sparse regularization
published pages: , ISSN: , DOI:
Proc AISTATS 2019 2019-08-05
2018 Marco Cuturi, Gabriel Peyré
Semidual Regularized Optimal Transport
published pages: 941-965, ISSN: 0036-1445, DOI: 10.1137/18m1208654
SIAM Review 60/4 2019-08-06
2018 Lénaïc Chizat, Gabriel Peyré, Bernhard Schmitzer, François-Xavier Vialard
Unbalanced optimal transport: Dynamic and Kantorovich formulations
published pages: 3090-3123, ISSN: 0022-1236, DOI: 10.1016/j.jfa.2018.03.008
Journal of Functional Analysis 274/11 2019-08-06
2018 Gabriel Peyré, Marco Cuturi
Computational Optimal Transport
published pages: 355-206, ISSN: 1935-8237, DOI: 10.1561/2200000073
Foundations and Trends® in Machine Learning 11/5-6 2019-08-05
2019 Clarice Poon, Gabriel Peyré
MultiDimensional Sparse Super-Resolution
published pages: 1-44, ISSN: 0036-1410, DOI: 10.1137/17m1147822
SIAM Journal on Mathematical Analysis 51/1 2019-08-05
2018 Jalal Fadili, Jérôme Malick, Gabriel Peyré
Sensitivity Analysis for Mirror-Stratifiable Convex Functions
published pages: 2975-3000, ISSN: 1052-6234, DOI: 10.1137/17m113825x
SIAM Journal on Optimization 28/4 2019-08-06
2019 J. Fadili, G. Garrigos, J. Malick, G. Peyré
Model Consistency for Learning with Mirror-Stratifiable Regularizers
published pages: , ISSN: , DOI:
Proc AISTATS2019 2019-08-05

Are you the coordinator (or a participant) of this project? Plaese send me more information about the "NORIA" project.

For instance: the website url (it has not provided by EU-opendata yet), the logo, a more detailed description of the project (in plain text as a rtf file or a word file), some pictures (as picture files, not embedded into any word file), twitter account, linkedin page, etc.

Send me an  email (fabio@fabiodisconzi.com) and I put them in your project's page as son as possible.

Thanks. And then put a link of this page into your project's website.

The information about "NORIA" are provided by the European Opendata Portal: CORDIS opendata.

More projects from the same programme (H2020-EU.1.1.)

ENUF (2019)

Evaluation of Novel Ultra-Fast selective III-V Epitaxy

Read More  

MITOvTOXO (2020)

Understanding how mitochondria compete with Toxoplasma for nutrients to defend the host cell

Read More  

PonD (2019)

Particles-on-Demand for Multiscale Fluid Dynamics

Read More