Fetching the paper…
Reading the bibliography…
The majority of First Order methods for large-scale convex-concave saddle point problems and variational inequalities with monotone operators are proximal algorithms which at every iteration need to minimize over problem's domain X the sum of a linear form and a strongly convex function.
Frank, M., Wolfe, P. “An algorithm for quadratic programming” – Naval Res. Logist. Q
1956
Earlier work this paper cites.
Bellman, R. “On Colonel Blotto and analogous games” – SIAM Review
1969
Earlier work this paper cites.
Demyanov, V., Rubinov, A. Approximate Methods in Optimization Problems
1970
Earlier work this paper cites.
Dunn, J. C., Harshbarger, S. “Conditional gradient algorithms with open loop step size rules” – Journal of Mathematical Analysis and Applications
1978
Earlier work this paper cites.
Pshenichnyi, B.N., Danilin, Y.M. Numerical Methods in Extremal Problems
1978
Earlier work this paper cites.
Gol’shtein, E.G. “Direct-Dual Block Method of Lnear Programming” – Avtomat. i Telemekh
1996
Earlier work this paper cites.
Gol’shtein, E.G., Sokolov, N.A., Golshtein E.G., Sokolov N.A. ”A decomposition algorithm for solving multicommodity production-and-transportation problem” – Ekonomika i Matematicheskie Metody
1997
Earlier work this paper cites.
Robertson, B. “The Colonel Blotto game” – Economic Theory
2006
Earlier work this paper cites.
Jaggi, M., Sulovsky, M. “A simple algorithm for nuclear norm regularized problems” – In ICML, 2010
2010
Cited alongside, same era.
Nemirovski, A., Onn, S., Rothblum, U., “Accuracy certificates for computational problems with convex structure” – Mathematics of Operations Research
2010
Cited alongside, same era.
Cox, B., “Applications of accuracy certificates for problems with convex structure” (2011) – Ph.D. Thesis, Georgia Institute of Technology https://smartech.gatech.edu/jspui/bitstream/1853/39489/1/cox_bruce_a_201105_phd.pdf
2011
Cited alongside, same era.
Tewari, A., Ravikumar, P. K., Dhillon, I. S. “Greedy algorithms for structurally constrained high dimensional problems” – in: J. Shawe-Taylor, R.S. Zemel, P.L. Bartlett, F. Pereira, and K.Q. Weinberger, Eds., Advances in Neural Information Processing Systems 24
2011
Cited alongside, same era.
Jaggi, M. “Revisiting Frank-Wolfe: Projection-free sparse convex optimization” – In ICML, 2013
2013
Later among the works it cites.
Argyriou, A., Signoretto, M., and Suykens, J. A. K. “Hybrid Conditional Gradient-Smoothing Algorithms with Applications to Sparse and Low Rank Regularization”, in Regularization, Optimization, Kernels, and Support Vector Machines
2014
Later among the works it cites.
Freund, R., Grigas, P. “New Analysis and Results for the Conditional Gradient Method” – Mathematical Programming
2014
Later among the works it cites.
2014
Later among the works it cites.
Harchaoui, Z., Juditsky, A., Nemirovski, A. “Conditional Gradient Algorithms for Norm-Regularized Smooth Convex Optimization” – Mathematical Programming
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Harchaoui, Z., Douze, M., Paulin, M., Dudik, M., Malick, J. “Large-scale image classification with trace-norm regularization” – In CVPR, 2012
2012
Cited alongside, same era.
Ying, Y., Peng, L. “Distance metric learning with eigenvalue optimization”, The Journal of Machine Learning Research
2012
Cited alongside, same era.
2013
Cited alongside, same era.
Grant, M., Boyd, S. CVX: Matlab software for disciplined convex programming, version 2.0 beta. http://cvxr.com/cvx
2013
Cited alongside, same era.
2014
Later among the works it cites.
Pierucci, F., Harchaoui, Z., Malick, J. “A smoothing approach for composite conditional gradient with nonsmooth loss”, http://hal.inria.fr/hal-01096630/document
2014
Later among the works it cites.
Juditsky, A., Nemirovski, A. “Solving Variational Inequalities with Monotone Operators on Domains Given by Linear Minimization Oracles” – Mathematical Programming
2015
Closest in time.
Lan, G., Zhou, Y. (2014) “Conditional Gradient Sliding for Convex Optimization” – submitted to SIAM Journal on Optimization
2015
Closest in time.