Appendix: Leveraging Distribution Alignment via Stein Path for Cross-Domain Cold-Start Recommendation

We first present the procedures of Stein path distance calculation in Algorithm 1. The calculation of Stein path distance mainly has three steps. (line 1). A.2 Procedure of multiple-proxies As mentioned in Section 2.3.3, the multiple-proxies algorithm is given by: min We now provide the optimization details on the multiple-proxies algorithm. A.3 Procedure of proxy Stein path loss As we have presented in Section 2.3.3, the proxy Stein path distance is defined as: P We conduct extensive experiments on two popularly used real-world datasets, i.e., Douban [ The details of Douban and Amazon datasets are shown in Table 1 and Table 2. B.2 Visualization Amazon Music are shown in Figure 1.