Self-scaled bounds for atomic cone ranks: applications to nonnegative rank and cp-rank

Fixed points of the EM algorithm and nonnegative rank boundaries

(2015) Kaie Kubjas et al.   ANNALS OF STATISTICS

Tensors of nonnegative rank two

(2015) Elizabeth S. Allman et al.   LINEAR ALGEBRA AND ITS APPLICATIONS

Positive semidefinite rank

(2015) Hamza Fawzi et al.   MATHEMATICAL PROGRAMMING

Lower bounds on nonnegative rank via nonnegative nuclear norms

(2014) Hamza Fawzi et al.   MATHEMATICAL PROGRAMMING

On maximum, typical and generic ranks

(2014) Grigoriy Blekherman et al.   MATHEMATISCHE ANNALEN

On the computational complexity of membership problems for the completely positive cone and its dual

(2013) Peter J. C. Dickinson et al.   COMPUTATIONAL OPTIMIZATION AND APPLICATIONS

Lifts of Convex Sets and Cone Factorizations

(2013) João Gouveia et al.   MATHEMATICS OF OPERATIONS RESEARCH

On the cp-Rank and Minimal cp Factorizations of a Completely Positive Matrix

(2013) Naomi Shaked-Monderer et al.   SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS

Finding Approximately Rank-One Submatrices with the Nuclear Norm and $\ell_1$-Norm

(2013) Xuan Vinh Doan et al.   SIAM JOURNAL ON OPTIMIZATION

Combinatorial bounds on nonnegative rank and extended formulations

(2012) Samuel Fiorini et al.   DISCRETE MATHEMATICS

The Convex Geometry of Linear Inverse Problems

(2012) Venkat Chandrasekaran et al.   FOUNDATIONS OF COMPUTATIONAL MATHEMATICS

On the geometric interpretation of the nonnegative rank

(2012) Nicolas Gillis et al.   LINEAR ALGEBRA AND ITS APPLICATIONS

Perturbation of Matrices and Nonnegative Rank with a View toward Statistical Models

(2011) Cristiano Bocci et al.   SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS

Nonnegative approximations of nonnegative tensors

(2009) Lek-Heng Lim et al.   JOURNAL OF CHEMOMETRICS

On the Complexity of Nonnegative Matrix Factorization

(2009) Stephen A. Vavasis   SIAM JOURNAL ON OPTIMIZATION

Symmetric Tensors and Symmetric Tensor Rank

(2008) Pierre Comon et al.   SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS