Supplemental Material for TKDE - 2015 - 05 - 0359

1 PROPOSED METHODS 1.1 Proofs of Update Rules In this section, we present the proofs of the update rules in Section 3.5 of the main paper. Specifically, we prove the CDTF update rule for L1 regularization (Theorem 7), the CDTF update rule for the nonnegativity constraint (Theorem 8), the SALS update rule for coupled tensor factorization (Theorem 9), and the update rule for bias terms commonly used by CDTF and SALS for the bias model (Theorem 10).