[Solution]Machine Learning Question

(Rule-Based Classifier) Consider the decision tree Convert the decision tree into a set of classification rule sets Are the rules mutually exclusive? Is the rule…

(Rule-Based Classifier) Consider the decision tree

Convert the decision tree into a set of classification rule sets
Are the rules mutually exclusive?
Is the rule set exhaustive?
Is ordering needed for this set of rules?
Do you need a default class for the rule set?

 
 

(Nearest Neighbor Classifier) The table below lists a dataset that was used to create a nearest neighbor model that predicts whether it will be a good day to go surfing

 

ID
Wave Size (Ft)
Wave Period (secs)
Wind Speed (mph)
Good Surf

1
6
15
5
Yes

2
1
6
9
No

3
7
10
4
Yes

4
7
12
3
Yes

5
2
2
10
No

6
10
2
20
No

 
Assuming that the model uses Euclidean distance to find the k-nearest neighbor, what prediction will the model return for the following query instances when k = 1, 3?
 

Wave Size (Ft)
Wave Period (secs)
Wind Speed (mph)
Good Surf

5
6
7
?

 
 

(Naïve Bayes Classifier) The table below gives details of symptoms that patients presented and whether they were suffering from

 

ID
Headache
Fever
Vomiting
Meningitis

1
True
True
False
False

2
False
True
False
False

3
True
False
True
False

4
True
False
True
False

5
False
True
False
True

6
True
False
True
False

7
True
False
True
False

8
True
False
True
True

9
False
True
False
False

10
True
False
True
True

 

Headache
Fever
Vomit
Meningitis

False
False
True
?

 
Using a naïve Bayes classifier to determine whether a patient with the above symptoms have meningitis.
 

(Bayesian Network) Given the Bayesian Network below, what is the joint probability distribution P(Exercise = Yes, Diet = Healthy, Heart Disease = No, Chest Pain = No, Blood Pressure = low)?

 
 

(Perceptron) Given the perceptron Y = sign(0.4X1+0.3X2+0.7X3-0.5). What is the prediction when X1=0.5, X2=-0.5, X3=0.8?

 

(SVM) Given w = (0.4, 0.3, 0.7) and b = -0.5.

What is the margin of the SVM?
What is the prediction when X1=-0.5, X2=-0.5, X3=0.8? (2 points)

 

(Performance Evaluations) Given the confusion matrix

Calculate the accuracy
Calculate the F-measure

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