How can you determine the split for each node of a decision tree? 1 pointFind the split that induces the largest entropy.Randomly select the split.Find the split that minimizes the gini impurity. Use a nonlinear decision boundary to find the best split.
Question
How can you determine the split for each node of a decision tree? 1 pointFind the split that induces the largest entropy.Randomly select the split.Find the split that minimizes the gini impurity. Use a nonlinear decision boundary to find the best split.
Solution
To determine the split for each node of a decision tree, you typically use a metric to measure the "goodness" of a split. Here are the steps:
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Calculate the impurity of the parent node: This can be done using different metrics. Two common ones are Gini Impurity and Entropy. Both of these metrics give a measure of how "mixed" the classes in the parent node are.
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For each possible split, calculate the impurity of the child nodes: Again, this can be done using the same metric (Gini Impurity or Entropy). For each possible split, you calculate the impurity of the resulting child nodes.
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Calculate the information gain for each possible split: The information gain is the impurity of the parent node minus the weighted sum of the impurities of the child nodes. The weights are the proportions of instances that would go to each child node if that split was chosen.
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Choose the split with the highest information gain: The split that results in the highest information gain is the one that reduces the impurity the most, and is therefore the "best" split.
Note: While the question mentions finding the split that induces the largest entropy, this is not correct. We actually want to find the split that reduces the entropy the most (i.e., gives the largest information gain). Similarly, we want to find the split that minimizes the Gini impurity, not maximizes it.
Similar Questions
How is the best split determined at each node while building a Decision Tree?Answer choicesSelect only one optionREVISITWe split the data using the first independent variable and so on. based on the alphabetical orderThe first split is determined randomly and from then on we start choosing the best split.We make at most 5 splits on the data using only one independent variable and choose the split that gives the highest Information Gain.
When evaluating all possible splits of a decision tree what can be used to find the best split regardless of what happened in prior or future steps?1 pointGreedy SearchRegularizationClassificationLogistic regression
How is the Gini index used in the context of a decision tree?To determine the splitting attributeTo determine the depth of the treeTo determine the leaf node valuesTo prune the tree branches
Which of the following statements is not true about the Decision tree?1 pointa) It starts with a tree with a single leaf and assign this leaf a label according to a majority vote among all labels over the training setb) It performs a series of iterations and on each iteration, it examine the effect of splitting a single leafc) It defines some gain measure that quantifies the improvement due to the splitd) Among all possible splits, it either choose the one that minimizes the gain and perform it, or choose not to split the leaf at all
In a decision tree used to predict whether a stocks will have a "good" or a "bad" return, the Gini Impurity coefficient is:Group of answer choiceshigher if a node has a similar number of good and bad stocks.lower if a node has a similar number of good and bad stocks.lower if a node has many stocks.higher if a node has many stocks.
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