Assignment #1 (Due 11:59pm, 14 July 2020)
Instructions:- Answer all questions.
-Interpret the questions logically, show your steps and write down your assumption(s) when necessary.
-Please submit your answer to L@PU before the due date.
-Late Submission Policy
o3-hour “grace period” is given.
o10% off for every 3-hour late
-Plagiarism Policy
oBoth giver and receiver subject to the same penalty below
oAll the students involved not only will receive 0 marks for this assessment, but also will have an additional 50% penalty applied, e.g., 5 marks for a 10-mark assessment.
1.Suppose you are asked by the Octopus Card Company to analyze the following Card Database.
Octopus Card Database for Training
Octopus IDDay of the WeekFromToTransportation Taken
1Mon-ThursHKHKMTR
2Mon-ThursKlnKlnBus
3Mon-ThursNTKlnBus
4Fri-SunHKHKMTR
5Mon-ThursKlnKlnMTR
6Mon-ThursNTNTBus
7Mon-ThursHKHKBus
8Fri-SunKlnKlnMTR
9Mon-ThursKlnKlnBus
10Mon-ThursHKHKBus
11Fri-SunHKHKMTR
12Mon-ThursKlnKlnBus
13Mon-ThursHKHKBus
14Mon-ThursKlnKlnMTR
15Fri-SunHKNTMTR
16Mon-ThursNTKlnBus
17Mon-ThursHKNTBus
18Mon-ThursKlnHKMTR
19Fri-SunHKNTMTR
20Mon-ThursHKHKMTR
Octopus Card Database for Testing
Octopus IDDay of the WeekFromToTransportation Taken
21Mon-ThursKlnKlnBus
22Mon-ThursHKHKMTR
23Mon-ThursKlnKlnBus
24Mon-ThursKlnKlnBus
25Fri-SunKlnHKMTR
Your project team member tried to construct a decision tree for the first 20 records above, i.e., the training dataset, and obtained the result as follows.
a)Write down the classification rules that can be extracted from the constructed tree.
b)Another project team member commented that the decision tree above is too deep. Prune the tree as much as possible so that the classification rate (accuracy) of the pruned tree for the testing database can be maintained, i.e., as high as that obtained in part (a).
c)If some more database records are available and added to the training database above, describe the situations for
i)reconstruction of the decision tree is NOT necessary
ii)partial reconstruction of the decision tree is necessary
iii)full reconstruction of the decision tree is necessary
2.In our lecture notes, we have already seen the derivative of a sigmoid function wrt its weight parameters as follows.
we have
Let us now consider the softmax function with the function form
.
Derive the derivative of softmax wrt . You MUST use the symbols above, i.e., , , etc., to present your answer.
Hint:
Using the quotient rule and let and , we have
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