Algebraic boundary of matrices of nonnegative rank at most three
From MaRDI portal
Publication:307808
DOI10.1016/j.laa.2016.06.036zbMath1350.13009arXiv1412.1654OpenAlexW330045883MaRDI QIDQ307808
Rob H. Eggermont, Emil Horobeţ, Kaie Kubjas
Publication date: 5 September 2016
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1412.1654
Geometric invariant theory (14L24) Actions of groups on commutative rings; invariant theory (13A50) Group actions on affine varieties (14R20) Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) (13P25)
Related Items (3)
Nonnegative Matrix Factorization Requires Irrationality ⋮ Nonnegative rank depends on the field ⋮ Fixed points of the EM algorithm and nonnegative rank boundaries
Cites Work
- Unnamed Item
- Self-scaled bounds for atomic cone ranks: applications to nonnegative rank and cp-rank
- Nonnegative ranks, decompositions, and factorizations of nonnegative matrices
- Solving the 100 swiss francs problem
- Fixed points of the EM algorithm and nonnegative rank boundaries
- Lie groups. An approach through invariants and representations
- Maximum Likelihood for Matrices with Rank Constraints
- Stochastic factorizations, sandwiched simplices and the topology of the space of explanations
- Equivariant Gröbner bases and the Gaussian two-factor model
- Perturbation of Matrices and Nonnegative Rank with a View toward Statistical Models
- Maximum likelihood geometry in the presence of data zeros
- On the Complexity of Nonnegative Matrix Factorization
- The Maximum Likelihood Degree of Mixtures of Independence Models
- Learning the parts of objects by non-negative matrix factorization
- Algebraic Statistics for Computational Biology
- An Almost Optimal Algorithm for Computing Nonnegative Rank
This page was built for publication: Algebraic boundary of matrices of nonnegative rank at most three
