Fetching the paper…
Reading the bibliography…
Variational inequalities have recently attracted considerable interest in machine learning as a flexible paradigm for models that go beyond ordinary loss function minimization (such as generative adversarial networks and related deep learning systems).
On finding local nash equilibria (and only local nash equilibria) in zero-sum games
Mazumdar, Eric V, Michael I Jordan, S Shankar Sastry. 2019 · 1901
Earlier work this paper cites.
Mokhtari, Aryan, Asuman Ozdaglar, Sarath Pattathil. 2019b · 1901
Earlier work this paper cites.
Forward-backward-forward methods with variance reduction for stochastic variational inequalities
Boţ, Radu Ioan, Panayotis Mertikopoulos, Mathias Staudigl, Phan Tu Vuong. 2019 · 1902
Earlier work this paper cites.
Training GANs with centripetal acceleration
Peng, Wei, Yu-Hong Dai, Hui Zhang, Lizhi Cheng. 2019 · 1902
Earlier work this paper cites.
Reducing noise in GAN training with variance reduced extragradient
Chavdarova, Tatjana, Gauthier Gidel, François Fleuret, Simon Lacoste-Julien. 2019 · 1904
Earlier work this paper cites.
Mokhtari, Aryan, Asuman Ozdaglar, Sarath Pattathil. 2019a · 1906
Earlier work this paper cites.
On a stochastic approximation method
Chung, Kuo-Liang. 1954 · 1954
Earlier work this paper cites.
Note on non-cooperative convex games
Nikaido, Hukukane, Kazuo Isoda. 1955 · 1955
Earlier work this paper cites.
Existence and uniqueness of equilibrium points for concave N {N} -person games
Rosen, J. B. 1965 · 1965
Earlier work this paper cites.
The extragradient method for finding saddle points and other problems
Korpelevich, G. M. 1976 · 1976
Earlier work this paper cites.
A modification of the Arrow–Hurwicz method for search of saddle points
Popov, Leonid Denisovich. 1980 · 1980
Earlier work this paper cites.
On linear convergence of iterative methods for the variational inequality problem
Tseng, Paul. 1995 · 1995
Earlier work this paper cites.
Nonlinear programming
Bertsekas, Dimitri P. 1997 · 1997
Earlier work this paper cites.
A modified forward-backward splitting method for maximal monotone mappings
Tseng, Paul. 2000 · 2000
Earlier work this paper cites.
Quasi-Fejérian analysis of some optimization algorithms
Combettes, Patrick L. 2001 · 2001
Earlier work this paper cites.
Finite-Dimensional Variational Inequalities and Complementarity Problems
Facchinei, Francisco, Jong-Shi Pang. 2003 · 2003
Cited alongside, same era.
Prox-method with rate of convergence O ( 1 / t ) {O}(1/t) for variational inequalities with Lipschitz continuous monotone operators and smooth convex-concave saddle point problems
Nemirovski, Arkadi Semen. 2004 · 2004
Cited alongside, same era.
Introductory Lectures on Convex Optimization: A Basic Course
Nesterov, Yurii. 2004 · 2004
Cited alongside, same era.
Generalized Nash equilibrium problems
Facchinei, Francisco, Christian Kanzow. 2007 · 2007
Cited alongside, same era.
Dual extrapolation and its applications to solving variational inequalities and related problems
Nesterov, Yurii. 2007 · 2007
Cited alongside, same era.
Primal-dual subgradient methods for convex problems
On the analysis of reflected gradient and splitting methods for monotone stochastic variational inequality problems
Cui, Shisheng, Uday V. Shanbhag. 2016 · 2016
Later among the works it cites.
Convex Analysis and Monotone Operator Theory in Hilbert Spaces
Bauschke, Heinz H., Patrick L. Combettes. 2017 · 2017
Later among the works it cites.
Extragradient method with variance reduction for stochastic variational inequalities
Iusem, Alfredo N., Alejandro Jofré, Roberto I. Oliveira, Philip Thompson. 2017 · 2017
Later among the works it cites.
The mechanics of n n -player differentiable games
Balduzzi, David, Sebastien Racaniere, James Martens, Jakob Foerster, Karl Tuyls, Thore Graepel. 2018 · 2018
Later among the works it cites.
Training GANs with optimism
Daskalakis, Constantinos, Andrew Ilyas, Vasilis Syrgkanis, Haoyang Zeng. 2018 · 2018
Later among the works it cites.
The limit points of (optimistic) gradient descent in min-max optimization
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Nesterov, Yurii. 2009 · 2009
Cited alongside, same era.
A first-order primal-dual algorithm for convex problems with applications to imaging
Chambolle, Antonin, Thomas Pock. 2011 · 2011
Cited alongside, same era.
Solving variational inequalities with stochastic mirror-prox algorithm
Juditsky, Anatoli, Arkadi Semen Nemirovski, Claire Tauvel. 2011 · 2011
Cited alongside, same era.
Online optimization with gradual variations
Chiang, Chao-Kai, Tianbao Yang, Chia-Jung Lee, Mehrdad Mahdavi, Chi-Jen Lu, Rong Jin, Shenghuo Zhu. 2012 · 2012
Cited alongside, same era.
Characterization and computation of local nash equilibria in continuous games
Ratliff, Lillian J, Samuel A Burden, S Shankar Sastry. 2013 · 2013
Cited alongside, same era.
Generative adversarial nets
Goodfellow, Ian J., Jean Pouget-Abadie, Mehdi Mirza, Bing Xu, David Warde-Farley, Sherjil Ozair, Aaron Courville, Yoshua Bengio. 2014 · 2014
Cited alongside, same era.
Convex optimization: Algorithms and complexity
Bubeck, Sébastien. 2015 · 2015
Cited alongside, same era.
Daskalakis, Constantinos, Ioannis Panageas. 2018 · 2018
Later among the works it cites.
Stabilizing adversarial nets with prediction methods
Yadav, Abhay, Sohil Shah, Zheng Xu, David Jacobs, Tom Goldstein. 2018 · 2018
Later among the works it cites.
Local saddle point optimization: a curvature exploitation approach
Adolphs, Leonard, Hadi Daneshmand, Aurelien Lucchi, Thomas Hofmann. 2019 · 2019
Closest in time.
A universal algorithm for variational inequalities adaptive to smoothness and noise
Bach, Francis, Kfir Y. Levy. 2019 · 2019
Closest in time.
A variational inequality perspective on generative adversarial networks
Gidel, Gauthier, Hugo Berard, Gaëtan Vignoud, Pascal Vincent, Simon Lacoste-Julien. 2019a · 2019
Closest in time.
Interaction matters: A note on non-asymptotic local convergence of generative adversarial networks
Liang, Tengyuan, James Stokes. 2019 · 2019
Closest in time.
Golden ratio algorithms for variational inequalities
Malitsky, Yura. 2019 · 2019
Closest in time.
Optimistic mirror descent in saddle-point problems: Going the extra (gradient) mile
Mertikopoulos, Panayotis, Bruno Lecouat, Houssam Zenati, Chuan-Sheng Foo, Vijay Chandrasekhar, Georgios Piliouras. 2019 · 2019
Closest in time.
Learning in games with continuous action sets and unknown payoff functions
Mertikopoulos, Panayotis, Zhengyuan Zhou. 2019 · 2019
Closest in time.