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Let s say our training set consists of n data points in d - dimensional space. At the top node of the tree, we have

Lets say our training set consists of n data points in d-dimensional space. At the top node of the tree, we have to pick a split, which involves choosing (i) a feature and (ii) a split value along that feature. How many possibilities do we need to try out, roughly? Hint: How many ways to choose a feature? And once we have a feature, what is the effective number of splits?

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