Collaborative Rating Allocation

Yali Du, Chang Xu, Dacheng Tao
2017 Proceedings of the Twenty-Sixth International Joint Conference on Artificial Intelligence  
This paper studies the collaborative rating allocation problem, in which each user has limited ratings on all items. These users are termed "energy limited". Different from existing methods which treat each rating independently, we investigate the geometric properties of a user's rating vector, and design a matrix completion method on the simplex. In this method, a user's rating vector is estimated by the combination of user profiles as basis points on the simplex. Instead of using Euclidean
more » ... ric, a non-linear pull-back distance measurement from the sphere is adopted since it can depict the geometric constraints on each user's rating vector. The resulting objective function is then efficiently optimized by a Riemannian conjugate gradient method on the simplex. Experiments on real-world data sets demonstrate our model's competitiveness versus other collaborative rating prediction methods.
doi:10.24963/ijcai.2017/224 dblp:conf/ijcai/DuXT17a fatcat:z2wkk4kvszho3bmcq652imx6ry