Low-Rank Spectral Optimization via Gauge Duality
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Publication:2811991
DOI10.1137/15M1034283zbMath1342.90115arXiv1508.00315OpenAlexW2288584783MaRDI QIDQ2811991
Ives MacÊdo, Michael P. Friedlander
Publication date: 10 June 2016
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1508.00315
convex optimizationsemidefinite optimizationphase retrievalsparse optimizationgauge dualitylow-rank solutions
Related Items
Applications of gauge duality in robust principal component analysis and semidefinite programming, Convex Geometry of the Generalized Matrix-Fractional Function, Revisiting Spectral Bundle Methods: Primal-Dual (Sub)linear Convergence Rates, Duality of optimization problems with gauge functions, Foundations of Gauge and Perspective Duality, Low-Rank Matrix Iteration Using Polynomial-Filtered Subspace Extraction, An Optimal-Storage Approach to Semidefinite Programming Using Approximate Complementarity, Total Variation--Based Phase Retrieval for Poisson Noise Removal, A semismooth Newton-based augmented Lagrangian algorithm for density matrix least squares problems
Uses Software
Cites Work
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- Solving quadratic equations via phaselift when there are about as many equations as unknowns
- Level-set methods for convex optimization
- Templates for convex cone problems with applications to sparse signal recovery
- The local convexity of solving systems of quadratic equations
- Phase recovery, MaxCut and complex semidefinite programming
- PhaseLift: Exact and Stable Signal Recovery from Magnitude Measurements via Convex Programming
- The spectral bundle method with second-order information
- A Stochastic Smoothing Algorithm for Semidefinite Programming
- Duality Between Subgradient and Conditional Gradient Methods
- An Extended Frank--Wolfe Method with “In-Face” Directions, and Its Application to Low-Rank Matrix Completion
- Phase Retrieval via Wirtinger Flow: Theory and Algorithms
- Blind Deconvolution Using Convex Programming
- Improved Algorithms for Convex Minimization in Relative Scale
- Unconstrained Convex Minimization in Relative Scale
- Self-calibration and biconvex compressive sensing
- Guaranteed Minimum-Rank Solutions of Linear Matrix Equations via Nuclear Norm Minimization
- Dual gauge programs, with applications to quadratic programming and the minimum-norm problem
- Two-Point Step Size Gradient Methods
- Large-Scale Optimization of Eigenvalues
- ARPACK Users' Guide
- A Spectral Bundle Method for Semidefinite Programming
- A Nonmonotone Line Search Technique and Its Application to Unconstrained Optimization
- Convex Analysis on the Hermitian Matrices
- Gauge Optimization and Duality
- Sparse Approximate Solutions to Semidefinite Programs
- Low-rank matrix completion using alternating minimization
- Convex Analysis
- Phase Retrieval via Matrix Completion