Abstract
In this paper, we discuss generalized mixture models and related semi-supervised learning methods, and show how they can be used to provide explicit methods for unknown class inference. After a brief description of standard mixture modeling and current model-based semi-supervised learning methods, we provide the generalization and discuss its computational implementation using three-stage expectation–maximization algorithm.
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References
Aitkin M, Rubin D (1985) Estimation and hypothesis testing in finite mixture models. J R Stat Soc Ser B (Methodol) 47:67–75
Dean N, Downey G, Murphy T (2006). Using unlabeled data to update classification rules with applications in food authenticity studies. J R Stat Soc Ser C (Appl Stat) 1–14
Frame S, Miller D (2005) Machine learning for robust automatic target recognition: phase 1—final report. Phase 1 Final Report for U.S. Air Force Research Laboratory Contract, FA8650-04-M-1659
Hastie T, Tibshirani R, Friedman J (2001). Elements of statistical learning. Springer, Heidelberg
Little R, Rubin D (1987) Statistical analysis with missing data. Wiley, New York
Manjunath BS, Newsam S, Wang L (2006) Using texture to analyze and manage large collections of remote sensed image and video. Appl Optics 43:2210–2217
McLachlan G, Krishnan T (2004) The EM algorithm and extensions. Wiley, New York
Miller D, Browning J (2003) A mixture model and EM-based algorithm for class discovery, robust classification, and outlier rejection in mixed labeled/unlabeled data sets. IEEE Trans Pattern Anal Mach Intell 1468–1483
Miller D, Uyar H (1997) A mixture of experts classifier with learning based on both labelled and unlabelled data. Adv NIPS 571–577
Schwarz G (1978) Estimating the dimension of a model. Ann Stat 6:461–464
Zhu X (1996) Semi-supervised learning literature survey. Tech. Report No. 1530, Computer Sciences Department, University of Wisconsin, Madison
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The first author is partially supported by NSF Grant ITR-03316979, US Air Force Grants FA8650-04-M-1659, F33615-98-C1210, and US Army Grant DAMD-17-02-C-0119. The second author is partially supported by NSF Grant ITR-03316979
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Frame, S.J., Jammalamadaka, S.R. Generalized mixture models, semi-supervised learning, and unknown class inference. ADAC 1, 23–38 (2007). https://doi.org/10.1007/s11634-006-0001-9
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DOI: https://doi.org/10.1007/s11634-006-0001-9