Abstract
This paper establishes a link between two supervised learning frameworks, namely multiple-instance learning (MIL) and learning from only positive and unlabelled examples (LOPU). MIL represents an object as a bag of instances. It is studied under the assumption that its instances are drawn from a mixture distribution of the concept and the non-concept. Based on this assumption, the classification of bags can be formulated as a classifier combining problem and the Bayes classifier for instances is shown to be closely related to the classification in LOPU. This relationship provides a possibility to adopt methods from LOPU to MIL or vice versa. In particular, we examine a parameter estimator in LOPU being applied to MIL. Experiments demonstrate the effectiveness of the instance classifier and the parameter estimator.
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References
Dietterich, T., Lathrop, R., Lozano-Pérez, T.: Solving the multiple instance problem with axis-parallel rectangles. Artificial Intelligence 89(1-2), 31–71 (1997)
Andrews, S., Tsochantaridis, I., Hofmann, T.: Support vector machines for multiple-instance learning. In: Adv. Neu. Inf. Proc. Sys., pp. 577–584 (2003)
Chen, Y., Bi, J., Wang, J.: MILES: Multiple-instance learning via embedded instance selection. IEEE Trans. PAMI 28(12), 1931–1947 (2006)
Zhou, Z., Sun, Y., Li, Y.: Multi-instance learning by treating instances as non-IID samples. In: Proc. 26th ICML, pp. 1249–1256 (2009)
Babenko, B., Yang, M., Belongie, S.: Visual tracking with online multiple instance learning. In: IEEE CVPR, pp. 983–990 (2009)
Denis, F.: PAC learning from positive statistical queries. In: Richter, M.M., Smith, C.H., Wiehagen, R., Zeugmann, T. (eds.) ALT 1998. LNCS (LNAI), vol. 1501, pp. 112–126. Springer, Heidelberg (1998)
Lee, W., Liu, B.: Learning with positive and unlabeled examples using weighted logistic regression. In: Proc. 20th ICML, pp. 448–455 (2003)
Liu, B., Dai, Y., Li, X., Lee, W., Yu, P.: Building text classifiers using positive and unlabeled examples. In: Proc. Int’l Conf. Data Mining, pp. 179–188 (2003)
Yu, H., Han, J., Chang, K.: PEBL: Web page classification without negative examples. IEEE Trans. Know. and Data Eng. 16(1), 70–81 (2004)
Zhou, K., Xue, G., Yang, Q., Yu, Y.: Learning with Positive and Unlabeled Examples Using Topic-Sensitive PLSA. IEEE Trans. on Knowledge and Data Engineering 22(1), 46–58 (2010)
Elkan, C., Noto, K.: Learning classifiers from only positive and unlabeled data. In: Proc. 14th ACM Conf. Knowledge Discovery and Data Mining, pp. 213–220 (2008)
Maron, O., Lozano-Pérez, T.: A framework for multiple-instance learning. In: Adv. Neu. Inf. Proc. Sys., pp. 570–576 (1998)
Li, W.J., Yeung, D.Y.: MILD: Multiple-instance learning via disambiguation. IEEE Transactions on Knowledge and Data Engineering 22(1), 76–89 (2010)
Ray, S., Craven, M.: Supervised versus multiple instance learning: An empirical comparison. In: Proc. 22nd Int’l Conf. Mach. Learn., pp. 697–704 (2005)
Foulds, J., Frank, E.: A review of multi-instance learning assumptions. The Knowledge Engineering Review 25(01), 1–25 (2010)
Li, Y., Tax, D., Duin, R., Loog, M.: Multiple-instance learning as a classifier combining problem. Pattern Recognition 46(3), 865–874 (2013)
Blum, A., Kalai, A.: A note on learning from multiple-instance examples. Machine Learning 30(1), 23–29 (1998)
Bishop, C.: Pattern Recognition and Machine Learning. Springer, New York (2006)
Zhou, Z., Xu, J.: On the relation between multi-instance learning and semi-supervised learning. In: Proc. 24th ICML, pp. 1167–1174 (2007)
Gehler, P., Chapelle, O.: Deterministic annealing for multiple-instance learning. In: Proc. 11th Int’l Conf. AISTAT, pp. 123–130 (2007)
Li, F., Sminchisescu, C.: Convex Multiple-Instance Learning by Estimating Likelihood Ratio. In: Adv. Neu. Inf. Proc. Sys., pp. 1–8 (2010)
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Li, Y., Tax, D.M.J., Duin, R.P.W., Loog, M. (2013). The Link between Multiple-Instance Learning and Learning from Only Positive and Unlabelled Examples. In: Zhou, ZH., Roli, F., Kittler, J. (eds) Multiple Classifier Systems. MCS 2013. Lecture Notes in Computer Science, vol 7872. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38067-9_14
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DOI: https://doi.org/10.1007/978-3-642-38067-9_14
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