Near-Optimal MAP Inference for Determinantal Point Processes, J. Gillenwater, A. Kulesza, and B. Taskar. Neural Information Processing Systems (NIPS), Lake Tahoe, Nevada, December 2012. (most of these papers can be found on Ben Taskar's home page)
Learning Determinantal Point Processes, A. Kulesza, and B. Taskar. Conference on Uncertainty in Artificial Intelligence (UAI), Barcelona, Spain, July 2011.
k-DPPs: Fixed-Size Determinantal Point Processes, A. Kulesza, and B. Taskar. International Conference on Machine Learning (ICML), Bellevue, WA, June 2011.
Structured Determinantal Point Processes, A. Kulesza, and B. Taskar. Neural Information Processing Systems Conference (NIPS), Vancouver, BC, December 2010. (Warning: complex experiments!)
Resources
Determinantal Point Processes for Machine Learning, A. Kulesza and B. Taskar. Foundations and Trends in Machine Learning: Vol. 5, No 2-3, December 2012. (arXiv version) an extended paper containing the three above papers plus a lot of background.
RoySpectral
clustering and the high-dimensional stochastic blockmodel Karl
Rohe, Sourav Chatterjee, and Bin Yu, Annals of Statistiscs, Volume 39,
Number 4 (2011), 1878-1915. (You are not responsible for the proof
details in this paper, only for understanding the results and the
assumptions.)
Justin Latent Multi-group Membership Graph Model by M. Kim, J. Leskovec. International Conference on Machine Learning (ICML), 2012.
Fligner, M.A., and J.S. Verducci. "Distance Based Ranking Models." Journal of the Royal Statistical Society, B 48, no. 3 (1986): 359--369. (original Generalized Mallows paper)
Fligner, Michael A., and Joseph S. Verducci. "Multistage Ranking Models." Journal of the American Statistical Association 83, no. 403 (1988): 892- 901 (Generalized Mallows - some more results)
Csiszar, V. "Markov Bases of Conditional Independence Models for Permutations." Kybernetika 45, no. 2 (2009).??
Huang, Jonathan, and Carlos Guestrin. "Uncovering the Riffled Independence structure of rankings." Electronic Journal of Statistics 6 (2012): 1999-230. (precursor to RIM models -- note there are 2 more follow-up papers by the same authors on this topic)
(Huang, Jonathan, Carlos Guestrin, and Leonidas Guibas. "Fourier Theoretic Probabilistic Inference Over Permutations." Journal of Machine Learning Research 10 (2009): 997-1070. This is not quite background, but gives some perspective on the previous paper.)
Hunter, David. "MM Algorithms for Generalized Bradley-Terry Models." The Annals of Statistics384-406 32, no. 1 (2004): 384-406. (relates to the Plackett-Luce paper)
Technical Report no. 515
Consensus Ranking Under the Exponential Model
Marina Meila, Kapil Phadnis, Arthur Patterson and Jeff Bilmes
April 2007 (Generalized Mallows)
J. He, H. Tong, Q. Mei, and B. Szymanski. Gender: A generic
diversified ranking algorithm. In Neural Information Processing
Systems (NIPS), pages 1151-1159, 2012 (See also H. Tong, J. He,
Z. Wen, and C.Y. Lin. Diversified Ranking on Large Graphs: an
Optimization Viewpoint. KDD 2011.)
The asymptotics of
ranking algorithms John Duchi, Lester Mackey, Michael Jordan The
Annals of Statistics 2013, Vol. 41, No. 5, 2292–2323. See also
conference paper and
slides here.
(You are not responsible for the proof
details in this paper, only for understanding the results and the
assumptions.)