Stable rank-one matrix completion is solved by the level \(2\) Lasserre relaxation
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Publication:2231643
DOI10.1007/s10208-020-09471-yzbMath1478.90076arXiv1801.00368OpenAlexW3088458178MaRDI QIDQ2231643
Augustin Cosse, Laurent Demanet
Publication date: 30 September 2021
Published in: Foundations of Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.00368
convex optimizationsemidefinite programmingmatrix completionsum-of-squares polynomialsduality in optimizationsemidefinite programming hierarchies
Numerical mathematical programming methods (65K05) Semidefinite programming (90C22) Convex programming (90C25) Approximation methods and heuristics in mathematical programming (90C59)
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- A nonlinear programming algorithm for solving semidefinite programs via low-rank factorization
- Semidefinite programming relaxations for semialgebraic problems
- An exact Jacobian SDP relaxation for polynomial optimization
- Local minima and convergence in low-rank semidefinite programming
- Exact matrix completion via convex optimization
- Global Optimization with Polynomials and the Problem of Moments
- PhaseLift: Exact and Stable Signal Recovery from Magnitude Measurements via Convex Programming
- Uniqueness of Low-Rank Matrix Completion by Rigidity Theory
- Theta Bodies for Polynomial Ideals
- Guaranteed Minimum-Rank Solutions of Linear Matrix Equations via Nuclear Norm Minimization
- Sparse SOS Relaxations for Minimizing Functions that are Summations of Small Polynomials
- Class of global minimum bounds of polynomial functions
- An approach to obtaining global extremums in polynomial mathematical programming problems
- Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming
- All Real Eigenvalues of Symmetric Tensors
- Matrix Completion From a Few Entries
- The Power of Convex Relaxation: Near-Optimal Matrix Completion
- A Simpler Approach to Matrix Completion
- Towards a Mathematical Theory of Super‐resolution
- The Algebraic Combinatorial Approach for Low-Rank Matrix Completion
- Convergent SDP‐Relaxations in Polynomial Optimization with Sparsity
- Phase Retrieval via Matrix Completion
- Propagation Connectivity of Random Hypergraphs