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NonnegativeRank

Geometry of Nonnegative Rank

Total Cost €

0

EC-Contrib. €

0

Partnership

0

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Project "NonnegativeRank" data sheet

The following table provides information about the project.

Coordinator
UNIVERSITE PIERRE ET MARIE CURIE - PARIS 6 

There are not information about this coordinator. Please contact Fabio for more information, thanks.

 Coordinator Country France [FR]
 Project website https://sites.google.com/view/nonnegativerank/home
 Total cost 166˙603 €
 EC max contribution 166˙603 € (100%)
 Programme 1. H2020-EU.1.3.2. (Nurturing excellence by means of cross-border and cross-sector mobility)
 Code Call H2020-MSCA-IF-2016
 Funding Scheme MSCA-IF-GF
 Starting year 2017
 Duration (year-month-day) from 2017-09-01   to  2019-08-31

 Partnership

Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    SORBONNE UNIVERSITE FR (PARIS) coordinator 166˙603.00
2    UNIVERSITE PIERRE ET MARIE CURIE - PARIS 6 FR (PARIS) coordinator 0.00
3    MASSACHUSETTS INSTITUTE OF TECHNOLOGY US (CAMBRIDGE) partner 0.00

Map

 Project objective

This proposal is centered on nonnegative rank - a notion that modifies the definition of matrix rank. This project is basic research aimed to better understand the geometry of matrices and tensors of nonnegative rank at most r, how this knowledge can be employed to improve exact and numerical nonnegative matrix algorithms, obtain an algorithm for nested polytopes in dimension three, and address questions about mixture models in statistics. Computing and understanding nonnegative rank is truly interdisciplinary. Completing this project requires techniques from polyhedral geometry, real algebraic geometry, optimization, statistics, symbolic algebra, and numerics.

 Publications

year authors and title journal last update
List of publications.
2019 Krone, Robert; Kubjas, Kaie
Uniqueness of nonnegative matrix factorizations by rigidity theory
published pages: , ISSN: , DOI:
Submitted to SIAM Journal on Matrix Analysis and Applications 1 2020-01-27
2019 Améndola, Carlos; Kosta, Dimitra; Kubjas, Kaie
Maximum Likelihood Estimation of Toric Fano Varieties
published pages: , ISSN: , DOI:
Under revision in Journal of Algebraic Statistics 1 2020-01-27
2019 Anastasiya Belyaeva, Kaie Kubjas, Lawrence J. Sun, and Caroline Uhler
Identifying 3D Genome Organizationin Diploid Organismsvia Euclidean Distance Geometry
published pages: , ISSN: , DOI:
In preparation 2020-01-27
2019 Allman, Elizabeth S.; Cervantes, Hector Baños; Evans, Robin; Hoşten, Serkan; Kubjas, Kaie; Lemke, Daniel; Rhodes, John A.; Zwiernik, Piotr
Maximum likelihood estimation of the Latent Class Model through model boundary decomposition
published pages: TBA, ISSN: 1309-3452, DOI:
Journal of Algebraic Statistics (to appear) TBA 2020-01-27

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

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

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