a. Find each of the possible parses of the sentence using the grammar, and draw the parse tree for each of these parses. Show the probability at each node. b. For each parse, calculate its probability, which will be the product of the probabilities for all the rules used in generating it. Which one is the most probable and the most likely parse for a human reader?

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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Chapter1: Computer Networks And The Internet
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Consider the following simple Probabilistic Context-Free Grammar (PCFG), which we will use to parse the sentence "student types
program with keyboard".
S
PP
VP
VP
VP
VP
P
↑ ↑
↑↑
NP VP
P NP
VP NP
VP PP
types
program
with
1.0
1.0
0.3
0.3
0.15
0.25
1.0
NP →>> NP PP
NP →>>
NP NP
NP →>>
student
NP →>>>
types
NP →>>
program
NP →>>
keyboard
0.25
0.2
0.2
0.07
0.14
0.14
a. Find each of the possible parses of the sentence using the grammar, and draw the parse tree for each of these parses. Show
the probability at each node.
b. For each parse, calculate its probability, which will be the product of the probabilities for all the rules used in generating it.
Which one is the most probable and the most likely parse for a human reader?
Transcribed Image Text:Consider the following simple Probabilistic Context-Free Grammar (PCFG), which we will use to parse the sentence "student types program with keyboard". S PP VP VP VP VP P ↑ ↑ ↑↑ NP VP P NP VP NP VP PP types program with 1.0 1.0 0.3 0.3 0.15 0.25 1.0 NP →>> NP PP NP →>> NP NP NP →>> student NP →>>> types NP →>> program NP →>> keyboard 0.25 0.2 0.2 0.07 0.14 0.14 a. Find each of the possible parses of the sentence using the grammar, and draw the parse tree for each of these parses. Show the probability at each node. b. For each parse, calculate its probability, which will be the product of the probabilities for all the rules used in generating it. Which one is the most probable and the most likely parse for a human reader?
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