Question: When using Extra Tree, only a random subset of the features is considered for splitting at each node ( just as in Random Forest )

When using Extra Tree, only a random subset of the features is considered for splitting at each node (just as in Random Forest) but in addition, instead of looking for the best threshold for each feature it uses a random threshold for each feature. This increases the randomness in the trees thus lowering the variance and combating overfitting.
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