text: This paper combines the tensor contraction method and the tensor regression method and applies them to CNN. This paper is well written and easy to read. However, I cannot find a strong or unique contribution from this paper. Both of the methods (tensor contraction and tensor decomposition) are well developed in the existing studies, and combining these ideas does not seem non-trivial. --Main question Why authors focus on the combination of the methods? Both of the two methods can perform independently. Is there a special synergy effect? --Minor question The performance of the tensor contraction method depends on a size of tensors. Is there any effective way to determine the size of tensors?