In the context of polynomial regression models, which of the following statements are true about the coefficient of determination (R²)? Select all that apply.多项选择题

A

R² always increases or stays the same when additional polynomial terms are added to the model

B

A high R² guarantees that the model will generalize well to new data

C

R² values closer to 1 indicate that the model explains more of the variance in the training data

D

Adding too many polynomial terms can lead to overfitting, despite increasing R²

E

R² is the only criterion needed to determine the optimal polynomial degree

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