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\min BPR\_OPT + \frac{\lambda_f}{2}\sum\limits_{i,j}^{I} \|q_i-q_j\|^2 \cdot W_{ij}
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\min BPR\_OPT + \frac{\lambda_f}{2}\sum\limits_{i,j}^{I} \|q_i-q_j\|^2 \cdot W_{ij}
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\min BPR\_OPT +\frac{\lambda_m}{2}\sum\limits_{i}^{I}\sum\limits_{j}^{I}\sum\limits_{c}^{C}\|q_i-q_j\|^2 \cdot W_{ijc}
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\min BPR\_OPT +\frac{\lambda_m}{2}\sum\limits_{i}^{I}\sum\limits_{j}^{I}\sum\limits_{c}^{C}\|q_i-q_j\|^2 \cdot W_{ijc}
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W_{ijc} = \begin{cases} A_{ic} \cdot A_{jc} \cdot sim(f_{ic},\ f_{jc}) & both\ i,\ j \in co \_cluster\ c \\ 0 & else \end{cases}
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W_{ijc} = \begin{cases} A_{ic} \cdot A_{jc} \cdot sim(f_{ic},\ f_{jc}) & both\ i,\ j \in co \_cluster\ c \\ 0 & else \end{cases}
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W_{ijc} = \begin{cases} sim(f_{ic},\ f_{jc}) & both\ i,\ j \in co \_cluster\ c \\ 0 & else \end{cases}
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W_{ijc} = \begin{cases} sim(f_{ic},\ f_{jc}) & both\ i,\ j \in co \_cluster\ c \\ 0 & else \end{cases}
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\frac{\partial F}{\partial V_j} = Y_{ij}[g(-f_{ij})+\sum\limits_{k=1}^{N}\frac{Y_{ik}g'(f_{ik}-f_{ij})}{1-Y_{ik}g(f_{ik}-f_{ij})}]U_i-\lambda V_j
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\frac{\partial F}{\partial V_j} = Y_{ij}[g(-f_{ij})+\sum\limits_{k=1}^{N}\frac{Y_{ik}g'(f_{ik}-f_{ij})}{1-Y_{ik}g(f_{ik}-f_{ij})}]U_i-\lambda V_j
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\min BPR\_OPT + \frac{\lambda_f}{2}\sum\limits_{i,j}^{I} \|q_i-q_j\|^2 \cdot \textbf{W}_{ij}
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\min BPR\_OPT + \frac{\lambda_f}{2}\sum\limits_{i,j}^{I} \|q_i-q_j\|^2 \cdot \textbf{W}_{ij}
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\frac{\partial F}{\partial V_j} = Y_{ij}[g(-f_{ij})+\sum\limits_{k=1}^{N}Y_{ik}g'(f_{ij}-f_{ik})(\frac{1}{1-Y_{ik}g(f_{ik}-f_{ij})}-\frac{1}{1-Y_{ij}g(f_{ij}-f_{ik})})U_i]-\lambda V_j
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\frac{\partial F}{\partial V_j} = Y_{ij}[g(-f_{ij})+\sum\limits_{k=1}^{N}Y_{ik}g'(f_{ij}-f_{ik})(\frac{1}{1-Y_{ik}g(f_{ik}-f_{ij})}-\frac{1}{1-Y_{ij}g(f_{ij}-f_{ik})})U_i]-\lambda V_j
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\epsilon(A,B)=\sum\limits_{u=1}^{U}\sum\limits_{i=1}^{I}{\|\frac{A_u}{\sqrt{D_{uu}} - \frac{B_i}{\sqrt{D_{ii}}}\|}^2
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