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NonnegativeRank

Geometry of Nonnegative Rank

Total Cost €

EC-Contrib. €

Partnership

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Outcomes and
results

NonnegativeRank project word cloud

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

numerics notion statistics dimension exact interdisciplinary centered algorithm computing nonnegative basic numerical optimization understand geometry tensors definition models modifies polytopes truly symbolic algorithms matrices nested employed matrix algebraic questions rank obtain techniques algebra mixture completing polyhedral

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 SORBONNE UNIVERSITE Organization address address: 21 RUE DE L'ECOLE DE MEDECINE city: PARIS postcode: 75006 website: n.a. contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	FR (PARIS)	coordinator	166˙603.00
2	UNIVERSITE PIERRE ET MARIE CURIE - PARIS 6 UNIVERSITE PIERRE ET MARIE CURIE - PARIS 6 Organization address address: Place Jussieu 4 city: PARIS postcode: 75252 website: www.upmc.fr contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	FR (PARIS)	coordinator	0.00
3	MASSACHUSETTS INSTITUTE OF TECHNOLOGY MASSACHUSETTS INSTITUTE OF TECHNOLOGY Organization address address: MASSACHUSETTS AVENUE 77 city: CAMBRIDGE postcode: 2139 website: n.a. contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	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

List of publications.
year	authors and title	journal	last update
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	AmÃ©ndola, 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 BaÃ±os; Evans, Robin; HoÅŸten, 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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Send me an email (fabio@fabiodisconzi.com) and I put them in your project's page as son as possible.

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