Homework Answers
Decision tree growing is done by creating a decision tree from a data set. Splits are selected, and class labels are assigned to leaves when no further splits are required or possible.
The growing starts from a single root node, where a table that contains a training data set is used as input table. The table contains several columns that represent attributes and a single column that represents the class attribute. When you do a split, each of the created descendant nodes corresponds to the applicable subset of the training data set. Further splits of these nodes result in new nodes that correspond to smaller subsets of data sets, and so on. Nodes that are not split further become leaves.
A decision tree would calculate a quality function based on each split of the data, and it does this for each feature in every node that is not a leaf node. This happens as long as there are levels (depth) to continue to.
The worst case of depth being in
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1. (Exercise 8.4 in Chapter 8 of the textbook) It is important to calculate the worst-case computational complexity of...
Exercise 7.3.5: Worst-case time complexity - mystery algorithm. The algorithm below makes some changes to an...
Exercise 7.3.5: Worst-case time complexity - mystery algorithm. The algorithm below makes some changes to an input sequence of numbers. MysteryAlgorithm Input: a1, a2....,an n, the length of the sequence. p, a number Output: ?? i != 1 j:=n While (i < j) While (i <j and a < p) i:= i + 1 End-while While (i <j and a 2 p) j:=j-1 End-while If (i < j), swap a, and a End-while Return( aj, a2,...,an) (a) Describe in English...
1. What is the worst case time complexity of insertion into a binary search tree with...
1. What is the worst case time complexity of insertion into a binary search tree with n elements? You should use the most accurate asymptotic notation for your answer. 2. A binary search tree is given in the following. Draw the resulting binary search tree (to the right of the given tree) after deleting the node with key value 8. 10 3. You have a sorted array B with n elements, where n is very large. Array C is obtained...
Exercise 1 Use Top-Down Design to “design” a set of instructions to write an algorithm for...
Exercise 1 Use Top-Down Design to “design” a set of instructions to write an algorithm for “travel arrangement”. For example, at a high level of abstraction, the algorithm for “travel arrangement” is: book a hotel buy a plane ticket rent a car Using the principle of stepwise refinement, write more detailed pseudocode for each of these three steps at a lower level of abstraction. Exercise 2 Asymptotic Complexity (3 pts) Determine the Big-O notation for the following growth functions: 1....
QUESTION 8 What is the worst-case complexity of line 7 of function bar? A. O(1) B....
QUESTION 8
What is the worst-case complexity of line 7 of function bar?
A.
O(1)
B.
O(N)
C.
O(i)
D.
O(log N)
E.
O(sqrt N)
F.
O(A[i])
G.
O(N sqrt N)
H.
O(N log N)
I.
O(N^2)
J.
O(i^2)
K.
None of the above
QUESTION 9
What is the worst-case complexity of lines 6-11 of function
bar?
A.
O(1)
B.
O(N)
C.
O(i)
D.
O(log N)
E.
O(sqrt N)
F.
O(A[i])
G.
O(N sqrt N)
H.
O(N log N)
I....
QUESTION 5 What is the worst-case complexity of line 10 of function bar? A. O(1) B....
QUESTION 5
What is the worst-case complexity of line 10 of function
bar?
A.
O(1)
B.
O(N)
C.
O(i)
D.
O(log N)
E.
O(sqrt N)
F.
O(A[i])
G.
O(N sqrt N)
H.
O(N log N)
I.
O(N^2)
J.
O(i^2)
K.
None of the above
QUESTION 6
What is the worst-case complexity of lines 8-11 of function
bar?
A.
O(1)
B.
O(N)
C.
O(i)
D.
O(log N)
E.
O(sqrt N)
F.
O(A[i])
G.
O(N sqrt N)
H.
O(N log N)
I....
Question 2 (8 marks) (From the DPU textbook, Exercise 2.5) Using the Master theorem or recursion...
Question 2 (8 marks) (From the DPU textbook, Exercise 2.5) Using the Master theorem or recursion tree methods, solve the following recurence relations and give Θ bound for each of them a) T(n) 9T(n/3) +3n2 12n - 4, where n 21 b) T(n)-T(n-1) + n", where n > 1 and c > 0 c) T(n) = T(Vn) + 1, where n > b and T(b) = 2. Question 3: 10 marks) Suppose we have a subroutine merge2 to merge two...
2. (25) [Rising trend] Textbook Exercise 17 in Chapter 6. The problem to solve is, in other words...
2. (25) [Rising trend] Textbook Exercise 17 in Chapter 6. The problem to solve is, in other words, to select from a sequence of n numbers a subset, including the first number, such that the selected numbers make a longest monotonously increasing sequence. In the exercise b, (i) write an optimal substructure (with an explanation),ii) write the iterative dynamic programming algorithm (pseudocode), and (iii) show the running-time analysis. Hints: the algorithm in the exercise a is a greedy algorithm; the...
Meet is an operation between zero-one matrices and uses Boolean products (C. Join is an operation...
Meet is an operation between zero-one matrices and uses Boolean products (C. Join is an operation between zero-one matrices and uses Boolean products d. Join is an operation between zero-one matrices and uses conjunctions 29. Given set S (-2, -1, 0, 1, 2), R is a relation on S. i. R ( (x, y)| x-y 1} Write R as a set of ordered pairs. (Use roster method to write R as a set of tuples) 3pts ill. and matrix representation...
JAVA 3 PLEASE ANSWER AS MANY QUESTIONS AS POSSIBLE! ONLY 2 QUESTIONS LEFT THIS MONTH!!! Question...
JAVA 3 PLEASE ANSWER AS MANY QUESTIONS AS POSSIBLE! ONLY 2 QUESTIONS LEFT THIS MONTH!!! Question 12 pts Which is a valid constructor for Thread? Thread ( Runnable r, int priority ); Thread ( Runnable r, String name ); Thread ( int priority ); Thread ( Runnable r, ThreadGroup g ); Flag this Question Question 22 pts What method in the Thread class is responsible for pausing a thread for a specific amount of milliseconds? pause(). sleep(). hang(). kill(). Flag...
Read Case Study 1: Gormand and Food—A Fable in Chapter 1 of your textbook. Identify the...
Read Case Study 1: Gormand and Food—A Fable in Chapter 1 of your textbook. Identify the commonalities between this case study and the delivery of healthcare in the United States. What in this case study is not likely to occur to healthcare in the United States? Why? Gourmand and Food—A Fable225 The people of Gourmand loved good food. They ate in good restaurants, donated money for cooking research, and instructed their government to safeguard all matters having to do with...
Exercise 7.3.5: Worst-case time complexity - mystery algorithm. The algorithm below makes some changes to an input sequence of numbers. MysteryAlgorithm Input: a1, a2....,an n, the length of the sequence. p, a number Output: ?? i != 1 j:=n While (i < j) While (i <j and a < p) i:= i + 1 End-while While (i <j and a 2 p) j:=j-1 End-while If (i < j), swap a, and a End-while Return( aj, a2,...,an) (a) Describe in English...
1. What is the worst case time complexity of insertion into a binary search tree with n elements? You should use the most accurate asymptotic notation for your answer. 2. A binary search tree is given in the following. Draw the resulting binary search tree (to the right of the given tree) after deleting the node with key value 8. 10 3. You have a sorted array B with n elements, where n is very large. Array C is obtained...
QUESTION 8
What is the worst-case complexity of line 7 of function bar?
A.
O(1)
B.
O(N)
C.
O(i)
D.
O(log N)
E.
O(sqrt N)
F.
O(A[i])
G.
O(N sqrt N)
H.
O(N log N)
I.
O(N^2)
J.
O(i^2)
K.
None of the above
QUESTION 9
What is the worst-case complexity of lines 6-11 of function
bar?
A.
O(1)
B.
O(N)
C.
O(i)
D.
O(log N)
E.
O(sqrt N)
F.
O(A[i])
G.
O(N sqrt N)
H.
O(N log N)
I....
QUESTION 5
What is the worst-case complexity of line 10 of function
bar?
A.
O(1)
B.
O(N)
C.
O(i)
D.
O(log N)
E.
O(sqrt N)
F.
O(A[i])
G.
O(N sqrt N)
H.
O(N log N)
I.
O(N^2)
J.
O(i^2)
K.
None of the above
QUESTION 6
What is the worst-case complexity of lines 8-11 of function
bar?
A.
O(1)
B.
O(N)
C.
O(i)
D.
O(log N)
E.
O(sqrt N)
F.
O(A[i])
G.
O(N sqrt N)
H.
O(N log N)
I....
Question 2 (8 marks) (From the DPU textbook, Exercise 2.5) Using the Master theorem or recursion tree methods, solve the following recurence relations and give Θ bound for each of them a) T(n) 9T(n/3) +3n2 12n - 4, where n 21 b) T(n)-T(n-1) + n", where n > 1 and c > 0 c) T(n) = T(Vn) + 1, where n > b and T(b) = 2. Question 3: 10 marks) Suppose we have a subroutine merge2 to merge two...
2. (25) [Rising trend] Textbook Exercise 17 in Chapter 6. The problem to solve is, in other words, to select from a sequence of n numbers a subset, including the first number, such that the selected numbers make a longest monotonously increasing sequence. In the exercise b, (i) write an optimal substructure (with an explanation),ii) write the iterative dynamic programming algorithm (pseudocode), and (iii) show the running-time analysis. Hints: the algorithm in the exercise a is a greedy algorithm; the...
Meet is an operation between zero-one matrices and uses Boolean products (C. Join is an operation between zero-one matrices and uses Boolean products d. Join is an operation between zero-one matrices and uses conjunctions 29. Given set S (-2, -1, 0, 1, 2), R is a relation on S. i. R ( (x, y)| x-y 1} Write R as a set of ordered pairs. (Use roster method to write R as a set of tuples) 3pts ill. and matrix representation...
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