Transductive inference on graphs such as label propagation algorithms is receiving a lot of attention. In this paper, we address a label propagation problem on multiple networks and present a new algorithm that automatically integrates structure information brought in by multiple networks. The proposed method is robust in that irrelevant networks are automatically deemphasized, which is an advantage over Tsuda et al.'s approach. We also show that the proposed algorithm can be interpreted as an

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... M algorithm with a Student-t prior. Finally, we demonstrate the usefulness of our method in protein function prediction and digit classification, and show experimentally that our algorithm is much more efficient than existing algorithms.