An Improvement of Matrix Factorization with Bound Constraints for Recommender Systems

Kazuki Mori, T. Nguyen, Tomohiro Harada, R. Thawonmas
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引用次数: 4

Abstract

This paper presents an improvement of bounded-SVD bias - a matrix factorization (MF) method for recommender systems. In bounded-SVD bias, the bound constraints are included in the objective function, which ensures that they are satisfied during the optimization process. As shown in one of our previous work, this helps bounded-SVD bias outperform an existing MF method with bound constraints, called Bounded Matrix Factorization. However, there is one issue with bounded-SVD bias that it is prone to overfitting. In this work, we introduce a new term to the objective function of bounded-SVD bias that can help it avoid overfitting. We also perform various experiments using real-world datasets, the results of which show an improvement in terms of accuracy and thus the superiority of the proposed method.
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推荐系统中有界约束矩阵分解的改进
本文提出了一种改进有界奇异值偏差的推荐系统矩阵分解(MF)方法。在有界svd偏差中,目标函数中包含了有界约束,保证了在优化过程中约束是满足的。正如我们之前的一项工作所示,这有助于有界svd偏差优于现有的具有有界约束的MF方法,称为有界矩阵分解。然而,有界奇异值偏差有一个问题,即它容易过度拟合。在这项工作中,我们为有界svd偏差的目标函数引入了一个新的术语,可以帮助它避免过拟合。我们还使用真实世界的数据集进行了各种实验,结果表明在准确性方面有所提高,从而表明了所提出方法的优越性。
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