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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.

Call for proposal

H2020-MSCA-IF-2016
See other projects for this call

Coordinator

SORBONNE UNIVERSITE
Address
21 Rue De L'ecole De Medecine
75006 Paris
France
Activity type
Higher or Secondary Education Establishments
EU contribution
€ 166 603,20

Partners (1)

MASSACHUSETTS INSTITUTE OF TECHNOLOGY
United States
Address
Massachusetts Avenue 77
02139 Cambridge
Activity type
Higher or Secondary Education Establishments