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docs/api-reference/regularization-l1-l2.md
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-This class uses [empricial risk minimization](https://en.wikipedia.org/wiki/Empirical_risk_minimization) (i.e., ERM)
+This class uses [empirical risk minimization](https://en.wikipedia.org/wiki/Empirical_risk_minimization) (i.e., ERM)
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to formulate the optimization problem built upon collected data.
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-Note that empricial risk is usually measured by applying a loss function on the model's predictions on collected data points.
+Note that empirical risk is usually measured by applying a loss function on the model's predictions on collected data points.
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If the training data does not contain enough data points
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(for example, to train a linear model in $n$-dimensional space, we need at least $n$ data points),
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[overfitting](https://en.wikipedia.org/wiki/Overfitting) may happen so that
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