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Geometry of Nonnegative Rank

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.

Fields of science (EuroSciVoc)

Programme(s)

Topic(s)

Funding Scheme

MSCA-IF-GF - Global Fellowships

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Call for proposal

(opens in new window) H2020-MSCA-IF-2016

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Coordinator

SORBONNE UNIVERSITE
Net EU contribution
€ 166 603,20
Address
21 RUE DE L'ECOLE DE MEDECINE
75006 Paris
France
Region
Ile-de-France Ile-de-France Paris
Activity type
Higher or Secondary Education Establishments
Links
Total cost
€ 166 603,20

Partners (1)