个体及团体异构多方面评分行为建模
刘鲲鹏,赵宵飒,胡一睿,傅衍杰

Modeling the Effects of Individual and Group Heterogeneity on Multi-Aspect Rating Behavior
Kunpeng Liu,Xiaosa Zhao,Yirui Hu,Yanjie Fu
Table 4 MFRL: a hierarchical view
Overall Rating ${{y}_{ij}}\tilde{\ }N(\mu _{ij}^{y},{{\sigma }^{2}})$
Aspect-1 Rating ${{g}_{ij}}\tilde{\ }N(\mu _{ij}^{g},{{\sigma }^{2}})$
Aspect-2 Rating ${{h}_{ij}}\tilde{\ }N(\mu _{ij}^{h},{{\sigma }^{2}})$
Overall Utility $\mu _{ij}^{y}=p\cdot u_{i}^{T}{{e}_{j}}+q\cdot u_{i}^{T}{{c}_{j}}$
Aspect-1 Utility $\mu _{ij}^{g}=u_{i}^{T}{{e}_{j}}$
Aspect-2 Utility $\mu _{ij}^{h}=u_{i}^{T}{{c}_{j}}$
User Latent Factors ${{u}_{ki}}\tilde{\ }Exp(\alpha )$
Aspect-1 Latent Factors ${{e}_{kj}}\tilde{\ }Exp(\beta )$
Aspect-2 Latent Factors ${{c}_{kj}}\tilde{\ }Exp(\beta )$
Variance ${{\sigma }^{2}}\tilde{\ }Inv-Gamma(a,b)$