  Latent factor models (LFMs) such as matrix factorization achieve the
state-of-the-art performance among various Collaborative Filtering (CF)
approaches for recommendation. Despite the high recommendation accuracy of
LFMs, a critical issue to be resolved is the lack of explainability. Extensive
efforts have been made in the literature to incorporate explainability into
LFMs. However, they either rely on auxiliary information which may not be
available in practice, or fail to provide easy-to-understand explanations. In
this paper, we propose a fast influence analysis method named FIA, which
successfully enforces explicit neighbor-style explanations to LFMs with the
technique of influence functions stemmed from robust statistics. We first
describe how to employ influence functions to LFMs to deliver neighbor-style
explanations. Then we develop a novel influence computation algorithm for
matrix factorization with high efficiency. We further extend it to the more
general neural collaborative filtering and introduce an approximation algorithm
to accelerate influence analysis over neural network models. Experimental
results on real datasets demonstrate the correctness, efficiency and usefulness
of our proposed method.
