Appendix for " Beyond the Signs: Nonparametric Tensor Completion via Sign Series "

The appendix consists of proofs (Section A), additional theoretical results (Section B), and numerical experiments (Section C). When g is strictly increasing, the mapping x g(x) is sign preserving. See Section B.2 for constructive examples. Based on the definition of classification loss L(,), the function Risk() relies only on the sign pattern of the tensor. The equality (2) is attained when z = sgn(θ π) or θ = π.