Fetching the paper…
Reading the bibliography…
In a recent paper, Parikh and Boyd describe a method for solving a convex optimization problem, where each iteration involves evaluating a proximal operator and projection onto a subspace.
Methods of conjugate gradients for solving linear systems
M. R. Hestenes and E. Stiefel · 1952
Earlier work this paper cites.
On the numerical solution of heat conduction problems in two and three space variables
J. Douglas and H. H. Rachford · 1956
Earlier work this paper cites.
Robust estimation of a location parameter
P. J. Huber · 1964
Earlier work this paper cites.
Concerning nonnegative matrices and doubly stochastic matrices
R. Sinkhorn and P. Knopp · 1967
Earlier work this paper cites.
Sur l’approximation, par élḿents finis d’ordre un, et la résolution, par pénalisation-dualité d’une classe de problémes de Dirichlet non linéaires
R. Glowinski and A. Marroco · 1975
Earlier work this paper cites.
Solution of sparse indefinite systems of linear equations
C. C. Paige and M. A. Saunders · 1975
Earlier work this paper cites.
Splitting algorithms for the sum of two nonlinear operators
P. L. Lions and B. Mercier · 1979
Earlier work this paper cites.
LSQR: An algorithm for sparse linear equations and sparse least squares
C. C. Paige and M. A. Saunders · 1982
Earlier work this paper cites.
Applications of the method of partial inverses to convex programming: decomposition
J. E. Spingarn · 1985
Earlier work this paper cites.
Projected gradient methods for linearly constrained problems
P. H. Calamai and J. J. Moré · 1987
Earlier work this paper cites.
Introduction to optimization
B. Polyak · 1987
Earlier work this paper cites.
On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators
J. Eckstein and D. P. Bertsekas · 1992
Earlier work this paper cites.
The arbitrage pricing theory and multifactor models of asset returns
G. Connor and R. A. Korajczyk · 1993
Earlier work this paper cites.
Linear matrix inequalities in system and control theory
S. Boyd, L. El Ghaoui, E. Feron, and V. Balakrishnan · 1994
Earlier work this paper cites.
Support-vector networks
C. Cortes and V. Vapnik · 1995
Earlier work this paper cites.
Symmetric quasidefinite matrices
R. J. Vanderbei · 1995
Earlier work this paper cites.
Regression shrinkage and selection via the lasso
R. Tibshirani · 1996
Earlier work this paper cites.
Atomic decomposition by basis pursuit
S. S. Chen, D. L. Donoho, and M. A. Saunders · 1998
Earlier work this paper cites.
Nondifferentiable optimization and polynomial problems
N. Z. Shor · 1998
Earlier work this paper cites.
Numerical Optimization
J. Nocedal and S. Wright · 1999
Cited alongside, same era.
SDPT3-a MATLAB software package for semidefinite programming, version 1.3
K. Toh, M. J. Todd, and R. H. Tütüncü · 1999
Cited alongside, same era.
Alternating direction method with self-adaptive penalty parameters for monotone variational inequalities
B. S. He, H. Yang, and S. L. Wang · 2000
Cited alongside, same era.
Lectures on modern convex optimization: Analysis, algorithms, and engineering applications
A. Ben-Tal and A. Nemirovski · 2001
Cited alongside, same era.
A scaling algorithm to equilibrate both rows and columns norms in matrices
D. Ruiz · 2001
Cited alongside, same era.
Convex Optimization
S. Boyd and L. Vandenberghe · 2004
Cited alongside, same era.
An ADMM algorithm for solving ℓ 1 \ell_{1} regularized MPC
M. Annergren, A. Hansson, and B. Wahlberg · 2012
Later among the works it cites.
Imagenet classification with deep convolutional neural networks
A. Krizhevsky, I. Sutskever, and G. E. Hinton · 2012
Later among the works it cites.
Performance bounds and suboptimal policies for multi-period investment
S. Boyd, M. Mueller, B. O’Donoghue, and Y. Wang · 2013
Later among the works it cites.
Deep learning with COTS HPC systems
A. Coates, B. Huval, T. Wang, D. Wu, B. Catanzaro, and A. Y. Ng · 2013
Later among the works it cites.
A primal-dual operator splitting method for conic optimization
E. Chu, B. O’Donoghue, N. Parikh, and S. Boyd · 2013
Later among the works it cites.
Optimal parameter selection for the alternating direction method of multipliers (ADMM): quadratic problems
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
The IMRT information process — Mastering the degrees of freedom in external beam therapy
A. Ahnesjö, B. Hårdemark, U. Isacsson, and A. Montelius · 2006
Cited alongside, same era.
Efficient schemes for robust IMRT treatment planning
A. Olafsson and S. Wright · 2006
Cited alongside, same era.
Algorithm 887: CHOLMOD, supernodal sparse Cholesky factorization and update/downdate
Y. Chen, T. A. Davis, W. W. Hager, and S. Rajamanickam · 2008
Cited alongside, same era.
A family of projective splitting methods for the sum of two maximal monotone operators
J. Eckstein and B. F. Svaiter · 2008
Cited alongside, same era.
Nonnegativity constraints in numerical analysis
D. Chen and R. J. Plemmons · 2009
Cited alongside, same era.
The elements of statistical learning
T. Hastie, R. Tibshirani, and T. Friedman · 2009
Cited alongside, same era.
E. Ghadimi, A. Teixeira, I. Shames, and M. Johansson · 2013
Later among the works it cites.
A splitting method for optimal control
B. O’Donoghue, G. Stathopoulos, and S. Boyd · 2013
Later among the works it cites.
Block splitting for distributed optimization
N. Parikh and S. Boyd · 2013
Later among the works it cites.
Proximal algorithms
N. Parikh and S. Boyd · 2013
Later among the works it cites.
Convergence rate analysis of several splitting schemes
D. Davis and W. Yin · 2014
Later among the works it cites.
Diagonal scaling in Douglas-Rachford splitting and ADMM
P. Giselsson and S. Boyd · 2014
Later among the works it cites.
Metric selection in Douglas-Rachford splitting and ADMM
P. Giselsson and S. Boyd · 2014
Later among the works it cites.
Preconditioning in fast dual gradient methods
P. Giselsson and S. Boyd · 2014
Later among the works it cites.
Fast alternating direction optimization methods
T. Goldstein, B. O’Donoghue, S. Setzer, and R. Baraniuk · 2014
Later among the works it cites.
Primal-dual decomposition by operator splitting and applications to image deblurring
D. O’Connor and L. Vandenberghe · 2014
Later among the works it cites.
Bregman alternating direction method of multipliers
H. Wang and A. Banerjee · 2014
Later among the works it cites.
Tight linear convergence rate bounds for Douglas-Rachford splitting and ADMM
P. Giselsson · 2015
Closest in time.
A general analysis of the convergence of ADMM
R. Nishihara, L. Lessard, B. Recht, A. Packard, and M. I. Jordan · 2015
Closest in time.