Fetching the paper…
Reading the bibliography…
We introduce a relaxed inertial forward-backward-forward (RIFBF) splitting algorithm for approaching the set of zeros of the sum of a maximally monotone operator and a single-valued monotone and Lipschitz continuous operator.
Boris T Polyak. Some methods of speeding up the convergence of iteration methods, USSR Computational Mathematics and Mathematical Physics
1964
Earlier work this paper cites.
Zdzisław Opial. Weak convergence of the sequence of successive approximations for nonexpansive mappings. Bulletin of the American Mathematical Society
1967
Earlier work this paper cites.
Richard W Cottle and Jacques A Ferland. On pseudo-convex functions of nonnegative variables. Mathematical Programming
1971
Earlier work this paper cites.
Galina M Korpelevich. The extragradient method for finding saddle points and other problems. Ekonomika i Matematicheskie Metody
1976
Earlier work this paper cites.
Yurii Nesterov. A method for unconstrained convex minimization problem with the rate of convergence O ( 1 / k 2 ) O(1/k^{2}) . Doklady Akademija Nauk USSR
1983
Earlier work this paper cites.
Jonathan Eckstein and Dimitri P Bertsekas. On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators. Mathematical Programming
1992
Earlier work this paper cites.
Anatoly S Antipin. Minimization of convex functions on convex sets by means of differential equations. Differential Equations
1994
Earlier work this paper cites.
Felipe Alvarez. On the minimizing property of a second order dissipative system in Hilbert spaces. SIAM Journal on Control and Optimization
2000
Earlier work this paper cites.
Felipe Alvarez and Hedy Attouch. An inertial proximal method for maximal monotone operators via discretization of a nonlinear oscillator with damping. Set-Valued Analysis
2001
Earlier work this paper cites.
Jérôme Bolte. Continuous gradient projection method in Hilbert spaces. Journal of Optimization Theory and its Applications
2003
Earlier work this paper cites.
2003
Earlier work this paper cites.
Jonathan M Borwein and Adrian S Lewis. Convex Analysis and Nonlinear Optimization: Theory and Examples
2006
Earlier work this paper cites.
Alex Krizhevsky. Learning multiple layers of features from tiny images
2009
Cited alongside, same era.
Hedy Attouch and Paul-Emile Maingé. Asymptotic behavior of second-order dissipative evolution equations combining potential with non-potential effects. ESAIM Control, Optimisation and Calculus of Variations
2011
Cited alongside, same era.
Nicolas Hadjisavvas, Siegfried Schaible, Ngai-Ching Wong. Pseudomonotone operators: a survey of the theory and its applications. Journal of Optimization Theory and Applications
2012
Cited alongside, same era.
Ian Goodfellow, Jean Pouget-Abadie, Mehdi Mirza, Bing Xu, David Warde-Farley, Sherjil Ozair, Aaron Courville, and Yoshua Bengio. Generative adversarial nets. Advances in Neural Information Processing Systems
2014
Cited alongside, same era.
Boushra Abbas and Hedy Attouch. Dynamical systems and forward-backward algorithms associated with the sum of a convex subdifferential and a monotone cocoercive operator. Optimization
Shane Barratt and Rishi Sharma. A note on the inception score. arXiv:1801.01973
2018
Later among the works it cites.
Radu I Boţ and Ernö R Csetnek. Convergence rates for forward-backward dynamical systems associated with strongly monotone inclusions. Journal of Mathematical Analysis and Applications
2018
Later among the works it cites.
2018
Later among the works it cites.
2018
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2015
Cited alongside, same era.
Radu I Boţ, Ernö R Csetnek, and Christopher Hendrich. Inertial Douglas-Rachford splitting for monotone inclusion problems. Applied Mathematics and Computation
2015
Cited alongside, same era.
Radu I Boţ and Ernö R Csetnek. An inertial forward-backward-forward primal-dual splitting algorithm for solving monotone inclusion problems. Numerical Algorithms
2016
Cited alongside, same era.
Radu I Boţ and Ernö R Csetnek. Second order forward-backward dynamical systems for monotone inclusion problems. SIAM Journal on Control and Optimization
2016
Cited alongside, same era.
2016
Cited alongside, same era.
Martin Arjovsky, Soumith Chintala, and Léon Bottou. Wasserstein Generative Adversarial Networks. Proceedings of the 34th International Conference on Machine Learning
2017
Cited alongside, same era.
Heinz H Bauschke and Patrick L Combettes. Convex Analysis and Monotone Operator Theory in Hilbert Spaces
2017
Cited alongside, same era.
Martin Heusel, Hubert Ramsauer, Thomas Unterthiner, Bernhard Nessler, and Sepp Hochreiter. GANs trained by a two time-scale update rule converge to a local Nash equilibrium. Advances in Neural Information Processing Systems
2017
Cited alongside, same era.
2018
Later among the works it cites.
2018
Later among the works it cites.
Hedy Attouch and Alexandre Cabot. Convergence of a relaxed inertial proximal algorithm for maximally monotone operators. Mathematical Programming
2019
Later among the works it cites.
Hedy Attouch and Alexandre Cabot. Convergence rate of a relaxed inertial proximal algorithm for convex minimization. Optimization
2019
Later among the works it cites.
Hedy Attouch and Alexandre Cabot. Convergence of a relaxed inertial forward-backward algorithm for structured monotone inclusions. Applied Mathematics & Optimization
2019
Later among the works it cites.
Franck Iutzeler and Julien M Hendrickx. A generic online acceleration scheme for optimization algorithms via relaxation and inertia. Optimization Methods and Software
2019
Later among the works it cites.
Maicon Marques Alves and Raul T. Marcavillaca. On inexact relative-error hybrid proximal extragradient, forward-backward and Tseng’s modified forward-backward methods with inertial effects. Set-Valued and Variational Analysis
2019
Later among the works it cites.
Maicon Marques Alves, Jonathan Eckstein, Marina Geremia, and Jefferson G. Melo. Relative-error inertial-relaxed inexact versions of Douglas-Rachford and ADMM splitting algorithms. Computational Optimization and Applications
2020
Closest in time.