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🌌 Mathematics of Optimization

در دنیای یادگیری ماشین، بهینه‌سازی پارامترها از طریق توابع جریمه (Penalty Functions) برای جلوگیری از Overfitting حیاتی است:

$$ \min_{\beta} \left( \frac{1}{2n} \sum_{i=1}^{n} (y_i - X_i \beta)^2 + \lambda_1 \sum_{j=1}^{p} |\beta_j| + \lambda_2 \sum_{j=1}^{p} \beta_j^2 \right) $$

"Beyond the code, lies the elegance of mathematical convergence."

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