Artificial Intelligence: A Modern Approach
3rd Edition
ISBN: 9780136042594
Author: Stuart Russell, Peter Norvig
Publisher: Prentice Hall
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Chapter 5, Problem 18E
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Positive linear transformation of leaf values
- With a positive linear transformation of leaf values, a value x is ...
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Artificial Intelligence: A Modern Approach
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- 8. Compute a two-level decision tree using the greedy approach described in this chapter. Use the classification error rate as the criterion for splitting. What is the overall error rate of the induced tree? Note: To determine the test condition at the root note, you first need to computer the error rates for attributes X, Y, and Z. For attribute X the corresponding counts are: c1 60 c2 60 1 40 40 For Y the coresponding counts are: c1 40 60 c2 60 40 For Z the conesponding counts are: c1 30 70 c2 70 30 1 following set of attributes and attributevalues:arrow_forwardUnder what circumstances does A* tree search fail to return an optimal solutionarrow_forwardYou are given a tree T with n vertices, rooted at vertex 1. Each vertex i has an associated value ai , which may be negative. You wish to colour each vertex either red or black. However, you must ensure that for each pair of red vertices, the path between them in T consists only of red vertices.Design an algorithm which runs in O(n) time and finds the maximum possible sum of values of red vertices, satisfying the constraint above.arrow_forward
- Use alpha beta pruning to find out which branches of the game tree are explored. If a branch is not explored then cross it out. If a branch is explored then put a tick mark against it. Don't leave it blank. Also, show the values of alpha and beta wherever necessary. Alpha is the score for max and beta is the score for min. It is Max's turn to play at the root level. Xarrow_forwardLet G = (V, E) be a DAG, where every edge e = ij and every vertex x have positive weighs w(i,j) and w(x), respectively, associated with them. Design an algorithm for computing a maximum weight path. What is the time complexity of your algorithm? (You must start with the correct definitions, and then write a recurrence relation.)arrow_forwardAccording to the Minimax algorithm, identify a correct winning path using the abstract game tree given below. Heuristic measures of leaf nodes are s are shown in red. A МАX B D MIN E F G MAX H K MIN M 1 L MAX -1 Select one: O ADGJM O There is no correct winning path among other answers given АВЕHL O ADFIM O ACFIMarrow_forward
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- Is it true that A* tree search always returns an optimal solution?arrow_forward12. Let H be a graph with the following adjacency matrix: 0 1 1 1 1 0 0 1 1 0 0 1 1 0 A = 1 1 (a) Draw H. Is H a tree? Justify your answer.arrow_forwardou are given the following game tree. The top level is a maximizing level. Give the values calculated by minimax for all the nodes labeled by letters in the tree. Do not use alpha-beta pruning. For example, the answer for node D is 9 so you will write D:9 and do the same for all the other nodes. Indicate which labeled nodes of the tree will be pruned by alpha-beta pruning.arrow_forward
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