Table 1 Notation.
From: A self-supervised group recommendation model with conformity awareness
Symbols | Definitions and Descriptions |
|---|---|
u, v, g | User u, item v, group g |
\({\hat{y}}_{uv}, {\hat{y}}_{gv}\) | The predicted rating of v for u or g |
\({\mathscr {G}}\) | Heterogeneous network |
\({\mathscr {G}}^I, {\mathscr {G}}^U, {\mathscr {G}}^G\) | Retail-/Social-/Groupon-motif hypergraph |
\(x_i, z_i\) | \(u_i\)’s embedding from the perspective of SS/SI |
\(x_i^I, x_i^C\) | \(u_i\)’s intra-/cross-hyperedge latent factor in \({\mathscr {G}}^I\) |
\(z_i^I, z_i^C\) | \(u_i\)’s intra-/cross-hyperedge latent factor in \({\mathscr {G}}^U\) |
\(p_i, q_i\) | \(g_i\)’s embedding from the perspective of SS/SI |
\(\Pi _{uv}^*, \Pi _{u{\overline{u}}}^*\) | The attention weight of u’s interaction with v/\({\overline{u}}\) |
\({\mathscr {M}}_u, {\mathscr {M}}_v\) | The final latent factor of u or v |
\(g^{U}, g^{G}\) | Member-level/group-level g’s embedding |