Fetching the paper…
Reading the bibliography…
We present and analyse a backtracking strategy for a general Fast Iterative Shrinkage/Thresholding Algorithm which has been recently proposed in (Chambolle, Pock, 2016) for strongly convex objective functions.
A. A. Goldstein, Convex programming in hilbert space , Bulletin of the American Mathematical Society 70
1964
Earlier work this paper cites.
L. Armijo, Minimization of functions having Lipschitz continuous first partial derivatives , Pacific Journal of Mathematics 16
1966
Earlier work this paper cites.
Y. Nesterov, A method for solving the convex programming problem with convergence rate O ( 1 / k 2 ) {O}(1/k^{2}) , Soviet Mathematics Doklady 269
1983
Earlier work this paper cites.
O. Güler, New proximal point algorithms for convex minimization , SIAM Journal on Optimization 2
1992
Earlier work this paper cites.
L. Rudin, S. Osher, and E. Fatemi, Nonlinear Total Variation based noise removal algorithms , Physica D 60
1992
Earlier work this paper cites.
A. Chambolle, An algorithm for total variation minimization and applications , Journal of Mathematical Imaging and Vision 20
2004
Earlier work this paper cites.
by same author, Introductory lectures on convex optimization , vol. 87 ed., Boston : Kluwer Academic Publishers, 2004
2004
Earlier work this paper cites.
P. L. Combettes and V. R. Wajs, Signal recovery by proximal forward-backward splitting , Multiscale Modeling & Simulation 4
2005
Earlier work this paper cites.
by same author, Smooth minimization of non-smooth functions , Mathematical Programming 103
2005
Earlier work this paper cites.
Hui Zou and Trevor Hastie, Regularization and variable selection via the elastic net , Journal of the Royal Statistical Society. Series B (Statistical Methodology) 67
2005
Earlier work this paper cites.
Li Wang, Ji Zhu, and Hui Zou, The doubly regularized support vector machine , Statistica Sinica 16
2006
Earlier work this paper cites.
P. Tseng, On accelerated proximal gradient methods for convex-concave optimization , (2008), http://www.csie.ntu.edu.tw/~b97058/tseng/papers/apgm.pdf
2008
Earlier work this paper cites.
A. Beck and M. Teboulle, Fast gradient-based algorithms for constrained total variation image denoising and deblurring problems , IEEE Transactions on Image Processing 18
2009
Cited alongside, same era.
by same author, A fast iterative shrinkage-thresholding algorithm for linear inverse problems , SIAM Journal on Imaging Sciences 2
2009
Cited alongside, same era.
A. Sawatzky, (nonlocal) total variation in medical imaging , Ph.D. thesis, University of Muenster, Germany, 2011
2011
Cited alongside, same era.
M. Schmidt, N. Roux, and F. Bach, Convergence rates of inexact proximal-gradient methods for convex optimization , Advances in Neural Information Processing Systems 24 (J. Shawe-taylor, R.s. Zemel, P. Bartlett, F.c.n. Pereira, and K.q. Weinberger, eds.), 2011, pp. 1458–1466
2011
Cited alongside, same era.
S. Salzo and S. Villa, Inexact and accelerated proximal point algorithms , Journal of Convex Analysis 19
H. Lin, J. Mairal, and Z. Harchaoui, A universal catalyst for first-order optimization , Proceedings of the 28th International Conference on Neural Information Processing Systems (Cambridge, MA, USA), NIPS’15, MIT Press, 2015, pp. 3384–3392
2015
Later among the works it cites.
Qihang Lin and Lin Xiao, An adaptive accelerated proximal gradient method and its homotopy continuation for sparse optimization , Computational Optimization and Applications 60
2015
Later among the works it cites.
Brendan O’Donoghue and Emmanuel Candès, Adaptive restart for accelerated gradient schemes , Foundations of Computational Mathematics 15
2015
Later among the works it cites.
S. Bonettini, F. Porta, and V. Ruggiero, A variable metric forward– backward method with extrapolation , SIAM Journal of Scientific Computing 38
2016
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2012
Cited alongside, same era.
by same author, Gradient methods for minimizing composite functions , Mathematical Programming 140
2013
Cited alongside, same era.
S. Villa, S. Salzo, L. Baldassarre, and A. Verri, Accelerated and inexact forward-backward algorithms , SIAM Journal on Optimization 23
2013
Cited alongside, same era.
K. Scheinberg, D. Goldfarb, and X. Bai, Fast first-order methods for composite convex optimization with backtracking , Foundations of Computational Mathematics 14
2014
Cited alongside, same era.
J.-F. Aujol and C. Dossal, Stability of over-relaxations for the forward-backward algorithm, application to FISTA , SIAM Journal on Optimization 25
2015
Cited alongside, same era.
A. Chambolle and C. Dossal, On the convergence of the iterates of the “fast iterative shrinkage/thresholding algorithm” , Journal of Optimization theory and Applications 166
2015
Cited alongside, same era.
A. Chambolle and T. Pock, A remark on accelerated block coordinate descent for computing the proximity operators of a sum of convex functions , SMAI-Journal of Computational Mathematics 1
2015
Cited alongside, same era.
2016
Later among the works it cites.
by same author, An introduction to continuous optimization for imaging , Acta Numerica 25
2016
Later among the works it cites.
2016
Later among the works it cites.
S. Tao, D. Boley, and S. Zhang, Local linear convergence of ISTA and FISTA on the LASSO problems , SIAM Journal on Optimization 26
2016
Later among the works it cites.
2017
Closest in time.
A. Chambolle, M. Ehrhardt, P. Richtárik, and C. Schönlieb, Stochastic primal-dual hybrid gradient algorithm with arbitrary sampling and imaging applications , SIAM Journal on Optimization 28
2018
Closest in time.
M. I. Florea and S. A. Vorobyov, An accelerated composite gradient method for large-scale composite objective problems , IEEE Transactions on Signal Processing 67
2019
Closest in time.