### Step 1: LaTeX Code Conversion & Formatting \begin{equation} \mathcal{L}_{\text{total}} = \frac{1}{N} \sum_{i=1}^{N} \left( y_i \log(\hat{y}_i) + (1 - y_i) \log(1 - \hat{y}_i) \right) + \lambda \|\mathbf{W}\|_2^2 \label{eq:total_loss} \end{equation} In \eqref{eq:total_loss}, $\mathcal{L}_{\text{total}}$ denotes the regularized cross-entropy loss function, where $N$ is the batch size, $y_i \in \{0, 1\}$ represents the ground-truth label, $\hat{y}_i$ is the predicted probability, and $\lambda$ controls the $L_2$ weight regularization penalty $\|\mathbf{W}\|_2^2$. ### Step 2: Error-Free BibTeX Citation Generation \cite{Goodfellow2016} ```bibtex @book{Goodfellow2016, author = {Ian Goodfellow and Yoshua Bengio and Aaron Courville}, title = {Deep Learning}, publisher = {MIT Press}, year = {2016}, address = {Cambridge, MA, USA} }