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Title: Stability of matrix factorization for collaborative filtering
Authors: Wang, Y.-X.
Xu, H. 
Issue Date: 2012
Citation: Wang, Y.-X.,Xu, H. (2012). Stability of matrix factorization for collaborative filtering. Proceedings of the 29th International Conference on Machine Learning, ICML 2012 1 : 417-424. ScholarBank@NUS Repository.
Abstract: We study the stability vis a vis adversarial noise of matrix factorization algorithm for matrix completion. In particular, our results include: (I) we bound the gap between the solution matrix of the factorization method and the ground truth in terms of root mean square error; (II) we treat the matrix factorization as a subspace fitting problem and analyze the difference between the solution subspace and the ground truth; (III) we analyze the prediction error of individual users based on the subspace stability. We apply these results to the problem of collaborative filtering under manipulator attack, which leads to useful insights and guidelines for collaborative filtering system design. Copyright 2012 by the author(s)/owner(s).
Source Title: Proceedings of the 29th International Conference on Machine Learning, ICML 2012
ISBN: 9781450312851
Appears in Collections:Staff Publications

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