On the Complexity of Nonnegative Matrix Factorization
SIAM Journal on Optimization
On the nonnegative rank of distance matrices
Information Processing Letters
Linear vs. semidefinite extended formulations: exponential separation and strong lower bounds
STOC '12 Proceedings of the forty-fourth annual ACM symposium on Theory of computing
Extended Formulations for Polygons
Discrete & Computational Geometry
Lifts of Convex Sets and Cone Factorizations
Mathematics of Operations Research
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We provide a nontrivial upper bound for the nonnegative rank of rank-three matrices which allows us to prove that @?6n/7@? linear inequalities suffice to describe a convex n-gon up to a linear projection.