文章基本信息

标题：Self-measuring Similarity for Multi-task Gaussian Process
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作者：Kohei Hayashi ; Takashi Takenouchi ; Ryota Tomioka 等
期刊名称：人工知能学会論文誌
印刷版ISSN：1346-0714
电子版ISSN：1346-8030
出版年度：2012
卷号：27
期号：3
页码：103-110
DOI：10.1527/tjsai.27.103
出版社：The Japanese Society for Artificial Intelligence
摘要：Multi-task learning aims at transferring knowledge between similar tasks. The multi-task Gaussian process framework of Bonilla et al. models (incomplete) responses of C data points for R tasks (e.g., the responses are given by R × C matrix) by a Gaussian process; the covariance function is defined as the product of a covariance function on input-dependent features and the inter-task covariance matrix (which is empirically estimated as a model parameter). We extend this framework by incorporating a novel similarity measurement, which allows for the representation of much more complex data structures. The proposed framework also enables us to exploit additional information (e.g., the input-dependent features) by constructing the covariance matrices with combining them on the covariance function. We also derive an efficient learning algorithm to make prediction by using an iterative method. Finally, we apply our model to a real data set of recommender systems and show that the proposed method achieves the best prediction accuracy on the data set.
关键词：multi-task learning ; Gaussian process ; conjugate gradient ; collaborative filtering