Bayesian games for adversarial regression problems

30th International Conference on Machine Learning, ICML 2013

Volumn , Issue PART 2, 2013, Pages 1092-1100

  Grohßans, Michael ^a   Sawade, Christoph ^a   Brückner, Michael ^b   Scheffer, Tobias ^a  

^a UNIVERSITY OF POTSDAM   (Germany)

^b SoundCloud Ltd   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

LEARNING SYSTEMS;

BAYESIAN EQUILIBRIUM; BAYESIAN GAME; BAYESIAN PRIORS; DATA GENERATION; MINIMAX STRATEGY; NASH EQUILIBRIUM STRATEGIES; REGRESSION PROBLEM;

GAME THEORY;

EID: 84897500325     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (13)

1. Brückner, M., Kanzow, C., and Scheffer, T. Static prediction games for adversarial learning problems. Journal of Machine Learning Research, 13:2589-2626, 2012.
2. Carlson, D. A. The existence and uniqueness of equilibria in convex games with strategies in Hilbert spaces. Advances in Dynamic Games and Applications, 6:79-97, 2001.
3. El Ghaoui, L., Lanckriet, G., and Natsoulis, G. Robust classification with interval data. Technical Report UCB/CSD-03-1279, Computer Science Division (EECS), University of California, 2003.
4. Freund, Y. and Schapire, R. Game theory, on-line prediction and boosting. In Proceedings of the 9th Annual Conference on Computational Learning Theory, 1996.
5. Globerson, A. and Roweis, S. Nightmare at test time: Robust learning by feature deletion. In Proceedings of the 23rd International Conference on Machine Learning, 2006.
6. Harsanyi, J. C. Games with incomplete information played by Bayesian players, i-iii. part i. the basic model. Management Science, 14(3): 159-182, 1967.
7. Harsanyi, J. C. Games with incomplete information played by Bayesian players, i-iii. part ii. Bayesian equilibrium points. Management Science, 14(5): 320-334, 1968.
8. Hirsch, M. D., Papadimitriou, C. H., and Vavasis, S. A. Exponential lower bounds for finding Brouwer fix points. Journal of Complexity, 5(4):379-416, 1989.
9. Lanckriet, G., El Ghaoui, L., Bhattacharyya, C., and Jordan, M. A robust minimax approach to classification. Journal of Machine Learning Research, 3: 552-582, 2002.
10. Sayed, A. H. and Chen, H. A uniqueness result concerning a robust regularized least-squares solution. Systems and Control Letters, 46(5):361-369, 2002.
11. Teo, C. H., Globerson, A., Roweis, S., and Smola, A. Convex learning with invariances. In Proceedings of the 20th Annual Conference on Neural Information Processing Systems, 2007.
12. Van der Laan, G. and Talman, A. J. J. On the computation of fixed points in the product space of unit simplices and an application to noncooperative n person games. Mathematics of Operations Research, 7(1):1-13, 1982.
13. Zinkevich, M., Johanson, M., Bowling, M., and Piccione, C. Regret minimization in games with incomplete information. In Proceedings of the 21st Annual Conference on Neural Information Processing Systems, 2008.