Reviews: Minimax Optimal Alternating Minimization for Kernel Nonparametric Tensor Learning

This paper presents a new non-parametric tensor regression method based on kernels. More specifically, the authors proposed a regularization based optimization approach with alternating minimization for non-parametric tensor regression model [15]. Moreover, the theoretical guarantee for the proposed method is presented the paper. Through experiments on various datasets, the proposed method compares favorably with existing state-of-the-art. The paper is clearly written and easy to read. I understand the key contribution of this paper is the theoretical analysis of the non-parametric tensor regression.