Fetching the paper…
Reading the bibliography…
Optimization problems with rank constraints appear in many diverse fields such as control, machine learning and image analysis.
Convex Analysis
R Tyrrell Rockafellar · 1970
Earlier work this paper cites.
Reduced-rank regression for the multivariate linear model
Alan Julian Izenman · 1975
Earlier work this paper cites.
Matrix Perturbation Theory
Gilbert W Stewart and Ji-guang Sun · 1990
Earlier work this paper cites.
Characterization of the subdifferential of some matrix norms
G.A. Watson · 1992
Earlier work this paper cites.
Convex Analysis and Minimization Algorithms II: Advanced Theory and Bundle Methods
Jean-Baptiste Hiriart-Urruty and Claude Lemaréchal · 1993
Earlier work this paper cites.
Convex Analysis and Minimization Algorithms I: Fundamentals
Jean-Baptiste Hiriart-Urruty and Claude Lemaréchal · 1996
Earlier work this paper cites.
Multivariate Reduced-Rank Regression: Theory and Applications
Gregory C Reinsel and Raja Velu · 1998
Earlier work this paper cites.
A rank minimization heuristic with application to minimum order system approximation
M. Fazel, H. Hindi, and S. P. Boyd · 2001
Earlier work this paper cites.
Matrix Rank Minimization with Applications
Maryam Fazel · 2002
Earlier work this paper cites.
Spectral analysis based on the state covariance: the maximum entropy spectrum and linear fractional parametrization
T. T. Georgiou · 2002
Earlier work this paper cites.
The structure of state covariances and its relation to the power spectrum of the input
T. T. Georgiou · 2002
Earlier work this paper cites.
User’s guide for SEDUMI INTERFACE 1.04
Dimitri Peaucelle, Didier Henrion, Yann Labit, and Krysten Taitz · 2002
Earlier work this paper cites.
On the implementation of SDPT3 (version 3.1) – a MATLAB software package for semidefinite-quadratic-linear programming
K. C. Toh, R. H. Tutuncu, and M. J. Todd · 2004
Earlier work this paper cites.
Approximation of Large-Scale Dynamical Systems
A.C. Antoulas · 2005
Earlier work this paper cites.
Exact matrix completion via convex optimization
Emmanuel J. Candès and Benjamin Recht · 2009
Cited alongside, same era.
Matrix completion with noise
E. J. Candès and Y. Plan · 2010
Cited alongside, same era.
Guaranteed minimum-rank solutions of linear matrix equations via nuclear norm minimization
Benjamin Recht, Maryam Fazel, and Pablo A. Parrilo · 2010
Cited alongside, same era.
Rank-sparsity incoherence for matrix decomposition
Venkat Chandrasekaran, Sujay Sanghavi, Pablo A. Parrilo, and Alan S. Willsky · 2011
Cited alongside, same era.
Proximal Splitting Methods in Signal Processing
Patrick L. Combettes and Jean-Christophe Pesquet · 2011
Cited alongside, same era.
Optimization with sparsity-inducing penalties
Francis Bach, Rodolphe Jenatton, Julien Mairal, and Guillaume Obozinski · 2012
Cited alongside, same era.
On optimal low-rank approximation of non-negative matrices
C. Grussler and A. Rantzer · 2015
Later among the works it cites.
Statistical Learning with Sparsity: The Lasso and Generalizations
Trevor Hastie, Robert Tibshirani, and Martin Wainwright · 2015
Later among the works it cites.
New perspectives on k k -support and cluster norms
Andrew M. McDonald, Massimiliano Pontil, and Dimitris Stamos · 2015
Later among the works it cites.
Alternating direction optimization algorithms for covariance completion problems
A. Zare, M. R. Jovanović, and T. T. Georgiou · 2015
Later among the works it cites.
Finding the largest low-rank clusters with Ky Fan 2 2 - k k -norm and ℓ 1 \ell_{1} -Norm
Xuan Vinh Doan and Stephen Vavasis · 2016
Closest in time.
Low-rank inducing norms with optimality interpretations, 2016
Christian Grussler and Pontus Giselsson · 2016
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
The convex geometry of linear inverse problems
Venkat Chandrasekaran, Benjamin Recht, Pablo A. Parrilo, and Alan S. Willsky · 2012
Cited alongside, same era.
Matrix Analysis
Roger A. Horn and Charles R. Johnson · 2012
Cited alongside, same era.
On the approximation of hankel matrices
A. C. Antoulas · 2013
Cited alongside, same era.
State covariances and the matrix completion problem
Y. Chen, M. R. Jovanović, and T. T. Georgiou · 2013
Cited alongside, same era.
An ADMM algorithm for matrix completion of partially known state covariances
F. Lin, M. R. Jovanović, and T. T. Georgiou · 2013
Cited alongside, same era.
Proximal algorithms
Neal Parikh and Stephen Boyd · 2014
Cited alongside, same era.
Closest in time.
The use of the r ∗ r\ast heuristic in covariance completion problems
Christian Grussler, Armin Zare, Mihailo R Jovanovic, and Anders Rantzer · 2016
Closest in time.
Convex low rank approximation
Viktor Larsson and Carl Olsson · 2016
Closest in time.
Generalized Principal Component Analysis
René Vidal, Yi Ma, and S Shankar Sastry · 2016
Closest in time.
Local convergence of proximal splitting methods for rank constrained problems
C. Grussler and P. Giselsson · 2017
Closest in time.
Low-complexity modeling of partially available second-order statistics: Theory and an efficient matrix completion algorithm
A. Zare, Y. Chen, M. R. Jovanović, and T. T. Georgiou · 2017
Closest in time.
Colour of turbulence
Armin Zare, Mihailo R. Jovanović, and Tryphon T. Georgiou · 2017
Closest in time.
Low-rank optimization with convex constraints
C. Grussler, A. Rantzer, and P. Giselsson · 2018
Closest in time.