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Introduction

This is a test post to verify the deployment pipeline and LaTeX rendering.

Here is the objective function for empirical risk minimization with parameter \(\theta \in \mathbb{R}^d\):

\[ \min_{\theta \in \mathbb{R}^d} \left\{ \frac{1}{N} \sum_{i=1}^N \mathcal{L}(f(x_i; \theta), y_i) + \frac{\lambda}{2} \|\theta\|_2^2 \right\} \tag{1}\]

As shown in Equation 1, regularization controls overfitting.