<math>J = \sum_{i,j=1}^{V} f(X_{ij}) \cdot \left( \mathbf{w}_i^\top \tilde{\mathbf{w}}_j + b_i + \tilde{b}_j - \log X_{ij} \right)^2 | <math>J = \sum_{i,j=1}^{V} f(X_{ij}) \cdot \left( \mathbf{w}_i^\top \tilde{\mathbf{w}}_j + b_i + \tilde{b}_j - \log X_{ij} \right)^2 |