Question: Show that the entropy of a node never increases after splitting it into smaller successor nodes.

Show that the entropy of a node never increases after splitting it into smaller successor nodes.

Step by Step Solution

★★★★★

3.51 Rating (161 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Let Y y 1 y 2 y c denote the c classes and X x 1 x 2 x k denote the k attribute values of an attribu... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Document Format (1 attachment)

Word file Icon

908-M-S-D-A (8610).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Q:

Show that if S. then -1

Q:

Show that and i=1 JY j-1 j-1

Q:

Show that is O(xy). Ley

Q:

A creative engineer suggests structuring the TLB so that not all the bits of the presented address need match to result in a hit. Suggest how this might be achieved, and what might be the costs and...

Q:

please help CS 1 2 3 31 initial state 2. Consider the Towers of Hanoi puzzle shown here consisting of three disks (labeled 1, 2 and 3 based on their size) on pegs labeled A, B, and C. States are...

Q:

Given the following rules in quotes directly below this: construct a 2-3-4 tree In Java with the 5 features: 1. Show the tree (use a simple display in the terminal). 2. Insert a value to the tree. 3....

Q:

URGENT: Question 1 (2 points) Consider the 2-3 tree whose level order traversal is 60 28-47 82 23 41 59 65-66 95. What is the level order traversal of the 2-3 tree that results after inserting the...

Q:

Programming Activity 14-2 Guidance ================================== 1. The list you work with is made up of items of the Node class. You must look at the framework's Node.java file to understand...

Q:

Programming Activity 14-2 Guidance ================================== 1. The list you work with is made up of items of the Node class. You must look at the framework's Node.java file to understand...

Q:

Programming Activity 14-2 Guidance ================================== 1. The list you work with is made up of items of the Node class. You must look at the framework's Node.java file to understand...

Q:

Alpha Company paid janitors $5 per hour to clean the production area. It initially set the standard cost of janitorial work at $4.50 per hour, and 530 hours were worked by the janitors. Question What...

Q:

For his final project, Jonathan examined the effects of two factors on how well stains are removed when washing clothes. On each of 16 new white handkerchiefs, he spread a teaspoon of dirty motor oil...

Q:

1 4 One difference between mortgage securities and corporate bonds is that mortgage securities tend to be "overcollateralized." 1 points True or False 0 1 : 3 0 : 0 2

Q:

24. Tracking hurricanes 2012 In a previous chapter, we saw data on the errors (in nautical miles) made by the National Hurricane Center in predicting the path of hurricanes. The following scatterplot...

Q:

For Exercises 1517, use the ClassifyRisk data set. Run an NN model predicting income based only on age. Use the default settings and make sure there is one hidden layer with one neuron.

Q:

For Exercises 1214, use the data set churn. Normalize the numerical data, recode the categorical variables, and deal with the correlated variables. Compare the neural network model with the CART and...

Q:

For Exercises 1214, use the data set churn. Normalize the numerical data, recode the categorical variables, and deal with the correlated variables. Which variables, in order of importance, are...

Q:

Consider a pool of 800 mortgages with the average size being $500 thousands, which is expected to be paid off in 25 years with fortnightly frequency (26 payments per year). The annual mortgage...

Q:

Which of the following is a forward contract that implicitly sets an interest rate for a future period? Question 4 Not yet answered Marked out of 1.00 P Flag question Select one: O a Forward forward...

Q:

Which of the following statements describes a negative correlation? The less I eat, the less I weigh. The more I eat, the less I weigh. The more I exercise,the greater my flexibility. Both the more I...