Low-dimensional embedding using adaptively selected ordinal data

2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011

Volumn , Issue , 2011, Pages 1077-1084

  Jamieson, Kevin G ^a   Nowak, Robert D ^a  

^a UNIVERSITY OF WISCONSIN MADISON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EUCLIDEAN SPACES; EXPERIMENTAL STUDIES; HUMAN SUBJECTS; LOWER BOUNDS; NON-METRIC MULTIDIMENSIONAL SCALING; OBJECTS-BASED; ORDINAL DATA; OVER-CONSTRAINED; PAIR-WISE COMPARISON;

COMMUNICATION;

EID: 84856105679     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/Allerton.2011.6120287     Document Type: Conference Paper

References (18)

1. N. Stewart, G.D.A. Brown, and N. Chater. Absolute identification by relative judgment. Psychological Review, 112(4):881-911, 2005. (Pubitemid 41677522)
2. I. Borg and P.J.F. Groenen. Modern multidimensional scaling: Theory and applications. Springer Verlag, 2005.
3. S. Agarwal, J. Wills, L. Cayton, G. Lanckriet, D. Kriegman, and S. Belongie. Generalized non-metric multidimensional scaling. In Proceedings of the Twelfth International Conference on Artificial Intelligence and Statistics, 2007.
4. O. Tamuz, C. Liu, S. Belongie, O. Shamir, and A.T. Kalai. Adaptively learning the crowd kernel. Arxiv preprint arXiv:1105.1033, 2011.
5. T.H.A. Bijmolt and M. Wedel. The effects of alternative methods of collecting similarity data for multidimensional scaling*1. International Journal of Research in Marketing, 12(4):363-371, 1995.
6. B. McFee. Distance metric learning from pairwise proximities.
7. R.M. Johnson. Pairwise nonmetric multidimensional scaling. Psychometrika, 38(1):11-18, 1973.
8. K. Jamieson and R. Nowak. Active ranking using pairwise comparisons. Neural Information Processing Systems (NIPS), 2011.
9. C.H. Coombs. A theory of data. Psychological review, 67(3):143-159, 1960.
10. R.N. Shepard. Metric structures in ordinal data. Journal of Mathematical Psychology, 3(2):287-315, 1966.
11. R. C. Buck. Partition of space. The American Mathematical Monthly, 50(9):pp. 541-544, 1943.
12. L. Devroye, L. Györfi, and G. Lugosi. A probabilistic theory of pattern recognition, volume 31. Springer Verlag, 1996.
13. V. De Silva and J.B. Tenenbaum. Sparse multidimensional scaling using landmark points. Dept. Math., Stanford University, Stanford, CA, Tech. Rep, 2004.
14. D. Cohn, L. Atlas, and R. Ladner. Improving generalization with active learning. Machine Learning, 15(2):201-221, 1994.
15. S.P. Boyd and L. Vandenberghe. Convex optimization. Cambridge Univ Pr, 2004.
16. J. Nocedal and S.J. Wright. Numerical optimization. Springer verlag, 1999.
17. K. Jamieson. Projects. [http://homepages.cae.wisc.edu/~jamieson/me/ Projects.html], September 2011.
18. R. Bissett and B. Schneider. Spatial and conjoint models based on pairwise comparisons of dissimilarities and combined effects: Complete and incomplete designs. Psychometrika, 56(4):685-698, 1991.