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We introduce the Stochastic Monotone Aggregated Root-Finding (SMART) algorithm, a new randomized operator-splitting scheme for finding roots of finite sums of operators.
Transactions of the American Mathematical Society 44
Pettis, B.J.: On Integration in Vector Spaces · 1938
Earlier work this paper cites.
Journal of Research of the National Bureau of Standards 49
Hoffman, A.J.: On Approximate Solutions of Systems of Linear Inequalities · 1952
Earlier work this paper cites.
Nonlinear functional analysis 18
Rockafellar, R.: Monotone Operators Associated with Saddle-functions and Minimax Problems · 1970
Earlier work this paper cites.
Israel Journal of Mathematics 26
Baillon, J.B., Haddad, G.: Quelques propriétés des opérateurs angle-bornés et n n -cycliquement monotones · 1977
Earlier work this paper cites.
In: Herbert Robbins Selected Papers, pp. 111–135. Springer (1985)
Robbins, H., Siegmund, D.: A Convergence Theorem for Non Negative Almost Supermartingales and Some Applications · 1985
Earlier work this paper cites.
SIAM Journal on Optimization 12
Nedic, A., Bertsekas, D.P.: Incremental Subgradient Methods for Nondifferentiable Optimization · 2001
Earlier work this paper cites.
Journal of Fourier Analysis and Applications 15
Strohmer, T., Vershynin, R.: A randomized Kaczmarz algorithm with exponential convergence · 2009
Earlier work this paper cites.
Springer Publishing Company, Incorporated (2011)
Bauschke, H.H., Combettes, P.L.: Convex Analysis and Monotone Operator Theory in Hilbert Spaces, 1st edn · 2011
Earlier work this paper cites.
Mathematical Programming 129
Bertsekas, D.P.: Incremental proximal methods for large scale convex optimization · 2011
Earlier work this paper cites.
In: Advances in Neural Information Processing Systems, pp. 693–701 (2011)
Recht, B., Re, C., Wright, S., Niu, F.: Hogwild: A Lock-Free Approach to Parallelizing Stochastic Gradient Descent · 2011
Earlier work this paper cites.
SIAM Journal on Optimization 22
Nesterov, Y.: Efficiency of Coordinate Descent Methods on Huge-Scale Optimization Problems · 2012
Earlier work this paper cites.
In: Advances in Neural Information Processing Systems, pp. 315–323 (2013)
Johnson, R., Zhang, T.: Accelerating Stochastic Gradient Descent Using Predictive Variance Reduction · 2013
Earlier work this paper cites.
arXiv preprint arXiv:1312.1666 (2013)
Konečnỳ, J., Richtárik, P.: Semi-Stochastic Gradient Descent Methods · 2013
Cited alongside, same era.
SIAM Journal on Imaging Sciences 6
Lai, M.J., Yin, W.: Augmented $ ℓ _ 1 \ell\_1 $ and Nuclear-Norm Models with a Globally Linearly Convergent Algorithm · 2013
Cited alongside, same era.
arXiv preprint arXiv:1309.2388 (2013)
Schmidt, M., Roux, N.L., Bach, F.: Minimizing finite sums with the stochastic average gradient · 2013
Cited alongside, same era.
Journal of Mathematical Analysis and Applications 425
Combettes, P.L., Yamada, I.: Compositions and convex combinations of averaged nonexpansive operators · 2014
Cited alongside, same era.
arXiv preprint arXiv:1407.5210v3 (2014)
Davis, D., Yin, W.: Faster convergence rates of relaxed Peaceman-Rachford and ADMM under regularity assumptions · 2014
In: Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP), 2015 IEEE 6th International Workshop on
Bianchi, P.: A stochastic proximal point algorithm: convergence and application to convex optimization · 2015
Later among the works it cites.
arXiv preprint arXiv:1510.08234 (2015)
Bolte, J., Nguyen, T.P., Peypouquet, J., Suter, B.: From error bounds to the complexity of first-order descent methods for convex functions · 2015
Later among the works it cites.
arXiv preprint arXiv:1507.03291 (2015)
Combettes, P.L., Eckstein, J.: Asynchronous Block-Iterative Primal-Dual Decomposition Methods for Monotone Inclusions · 2015
Later among the works it cites.
SIAM Journal on Optimization 25
Combettes, P.L., Pesquet, J.C.: Stochastic Quasi-Fejér Block-Coordinate Fixed Point Iterations with Random Sweeping · 2015
Later among the works it cites.
SIAM Journal on Optimization 25
Davis, D.: Convergence Rate Analysis of Primal-Dual Splitting Schemes · 2015
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Cited alongside, same era.
In: Advances in Neural Information Processing Systems, pp. 1646–1654 (2014)
Defazio, A., Bach, F., Lacoste-Julien, S.: SAGA: A Fast Incremental Gradient Method With Support for Non-Strongly Convex Composite Objectives · 2014
Cited alongside, same era.
In: Proceedings of the 31st International Conference on Machine Learning (ICML-14), pp. 1125–1133 (2014)
Defazio, A., Domke, J., Caetano, T.: Finito: A Faster, Permutable Incremental Gradient Method for Big Data Problems · 2014
Cited alongside, same era.
arXiv preprint arXiv:1410.4744 (2014)
Konečnỳ, J., Liu, J., Richtárik, P., Takáč, M.: mS2GD: Mini-Batch Semi-Stochastic Gradient Descent in the Proximal Setting · 2014
Cited alongside, same era.
arXiv preprint arXiv:1412.6293 (2014)
Konečnỳ, J., Qu, Z., Richtárik, P.: Semi-stochastic coordinate descent · 2014
Cited alongside, same era.
arXiv preprint arXiv:1401.4780 (2014)
Liu, J., Wright, S.J., Sridhar, S.: An Asynchronous Parallel Randomized Kaczmarz Algorithm · 2014
Cited alongside, same era.
SIAM Journal on Optimization 25
Bauschke, H.H., Wang, C., Wang, X., Xu, J.: On Subgradient Projectors · 2015
Cited alongside, same era.
arXiv preprint arXiv:1509.09257 (2015)
Bertsekas, D.P.: Incremental Aggregated Proximal and Augmented Lagrangian Algorithms · 2015
Cited alongside, same era.
Later among the works it cites.
SIAM Journal on Optimization 25
Davis, D.: Convergence Rate Analysis of the Forward-Douglas-Rachford Splitting Scheme · 2015
Later among the works it cites.
SIAM Journal on Optimization 25
Fercoq, O., Richtárik, P.: Accelerated, Parallel, and Proximal Coordinate Descent · 2015
Later among the works it cites.
arXiv preprint arXiv:1506.03662v3 (2015)
Hofmann, T., Lucchi, A., Lacoste-Julien, S., McWilliams, B.: Neighborhood Watch: Stochastic Gradient Descent with Neighbors · 2015
Later among the works it cites.
Journal of Machine Learning Research 16
Liu, J., Wright, S.J., Ré, C., Bittorf, V., Sridhar, S.: An Asynchronous Parallel Stochastic Coordinate Descent Algorithm · 2015
Later among the works it cites.
arXiv preprint arXiv:1506.02396 (2015)
Peng, Z., Xu, Y., Yan, M., Yin, W.: ARock: an Algorithmic Framework for Asynchronous Parallel Coordinate Updates · 2015
Later among the works it cites.
arXiv preprint arXiv:1511.01635 (2015)
Zhang, H.: The restricted strong convexity revisited: analysis of equivalence with error bound and quadratic growth · 2015
Later among the works it cites.
SIAM Journal on Optimization 26
Wang, M., Bertsekas, D.P.: Stochastic First-Order Methods with Random Constraint Projection · 2016
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