Viterbi-Sarah Saneei

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Viterbi algorithm step by step

ViterBi Algorithm
Sarah Saneei
Computational Linguistics

Pi
P(N|ø)= .29 P(P|ø)= 0
P(V|ø)= 0 P(ART|ø)= .71
P(N|N)= .13
P(N|V)= .35
P(N|P)= .26
P(N|ART)= 1
P(V|N)= .43
P(V|V)= 0
P(V|P)= 0
P(V|ART)= 0
P(ART|N)= 0
P(ART|V)= .65
P(ART|P)= .74
P(ART|ART)=0
P(P|N)= .44
P(P|V)= 0
P(P|P)= 0
P(P|ART)= 0
A(BigramProbabilities)B(LexicalGenerationProbabilities)
P(flies|N)= .025
P(flies|V)= .076
P(flies|P)= 0
P(flies|ART)=0
P(like|N)= .012
P(like|V)= .1
P(like|P)= .068
P(like|ART)=0
P(a|N)= .001
P(a|V)= 0
P(a|P)= 0
P(a|ART)=.36
P(birds|N)= .076
P(birds|V)= 0
P(birds|P)= 0
P(birds|ART)=0
P(the|N)= 0
P(the|V)= 0
P(the|P)= 0
P(the|ART)= .54

Pi
P(N|ø)= .29 P(P|ø)= 0
P(V|ø)= 0 P(ART|ø)= .71
P(N|N)= .13
P(N|V)= .35
P(N|P)= .26
P(N|ART)= 1
P(V|N)= .43
P(V|V)= 0
P(V|P)= 0
P(V|ART)= 0
P(ART|N)= 0
P(ART|V)= .65
P(ART|P)= .74
P(ART|ART)=0
P(P|N)= .44
P(P|V)= 0
P(P|P)= 0
P(P|ART)= 0
A(BigramProbabilities)
NULL
ø
Words
Tags
B(LexicalGenerationProbabilities)
P(flies|N)= .025
P(flies|V)= .076
P(flies|P)= 0
P(flies|ART)=0
P(like|N)= .012
P(like|V)= .1
P(like|P)= .068
P(like|ART)=0
P(a|N)= .001
P(a|V)= 0
P(a|P)= 0
P(a|ART)=.36
P(birds|N)= .076
P(birds|V)= 0
P(birds|P)= 0
P(birds|ART)=0
P(the|N)= 0
P(the|V)= 0
P(the|P)= 0
P(the|ART)= .54

Pi
P(N|ø)= .29 P(P|ø)= 0
P(V|ø)= 0 P(ART|ø)= .71
P(N|N)= .13
P(N|V)= .35
P(N|P)= .26
P(N|ART)= 1
P(V|N)= .43
P(V|V)= 0
P(V|P)= 0
P(V|ART)= 0
P(ART|N)= 0
P(ART|V)= .65
P(ART|P)= .74
P(ART|ART)=0
P(P|N)= .44
P(P|V)= 0
P(P|P)= 0
P(P|ART)= 0
A(BigramProbabilities)
NULL
ø
Words
Tags
a/V
a/N
a/P
a/ART
bird/
V
bird/
N
bird/
P
bird/
ART
flies/
V
flies/
N
flies/
P
flies/
ART
B(LexicalGenerationProbabilities)
P(flies|N)= .025
P(flies|V)= .076
P(flies|P)= 0
P(flies|ART)=0
P(like|N)= .012
P(like|V)= .1
P(like|P)= .068
P(like|ART)=0
P(a|N)= .001
P(a|V)= 0
P(a|P)= 0
P(a|ART)=.36
P(birds|N)= .076
P(birds|V)= 0
P(birds|P)= 0
P(birds|ART)=0
P(the|N)= 0
P(the|V)= 0
P(the|P)= 0
P(the|ART)= .54

Pi
P(N|ø)= .29 P(P|ø)= 0
P(V|ø)= 0 P(ART|ø)= .71
P(N|N)= .13
P(N|V)= .35
P(N|P)= .26
P(N|ART)= 1
P(V|N)= .43
P(V|V)= 0
P(V|P)= 0
P(V|ART)= 0
P(ART|N)= 0
P(ART|V)= .65
P(ART|P)= .74
P(ART|ART)=0
P(P|N)= .44
P(P|V)= 0
P(P|P)= 0
P(P|ART)= 0
A(BigramProbabilities)
NULL
ø
a/V
a/N
a/P
a/ART
bird/
V
bird/
N
bird/
P
bird/
ART
flies/
V
flies/
N
flies/
P
flies/
ART
B(LexicalGenerationProbabilities)
P(flies|N)= .025
P(flies|V)= .076
P(flies|P)= 0
P(flies|ART)=0
P(like|N)= .012
P(like|V)= .1
P(like|P)= .068
P(like|ART)=0
P(a|N)= .001
P(a|V)= 0
P(a|P)= 0
P(a|ART)=.36
P(birds|N)= .076
P(birds|V)= 0
P(birds|P)= 0
P(birds|ART)=0
P(the|N)= 0
P(the|V)= 0
P(the|P)= 0
P(the|ART)= .54

Pi
P(N|ø)= .29 P(P|ø)= 0
P(V|ø)= 0 P(ART|ø)= .71
P(N|N)= .13
P(N|V)= .35
P(N|P)= .26
P(N|ART)= 1
P(V|N)= .43
P(V|V)= 0
P(V|P)= 0
P(V|ART)= 0
P(ART|N)= 0
P(ART|V)= .65
P(ART|P)= .74
P(ART|ART)=0
P(P|N)= .44
P(P|V)= 0
P(P|P)= 0
P(P|ART)= 0
A(BigramProbabilities)
NULL
ø
a/V
a/N
a/P
a/ART
bird/
V
bird/
N
bird/
P
bird/
ART
flies/
V
flies/
N
flies/
P
flies/
ART
Score(a/V)= P(V|ø)P(a|V) = 0 x 0.076 = 0
Score(a/N)= P(N|ø)P(a|N) = 0.29 x 0.025 = 0.00725
Score(a/P)= P(P|ø)P(a|P) = 0 x 0.0001 = 0
Score(a/ART)= P(ART|ø)P(a|ART) = 0.71 x 0.36 = 0.2556
B(LexicalGenerationProbabilities)
P(flies|N)= .025
P(flies|V)= .076
P(flies|P)= 0
P(flies|ART)=0
P(like|N)= .012
P(like|V)= .1
P(like|P)= .068
P(like|ART)=0
P(a|N)= .001
P(a|V)= 0
P(a|P)= 0
P(a|ART)=.36
P(birds|N)= .076
P(birds|V)= 0
P(birds|P)= 0
P(birds|ART)=0
P(the|N)= 0
P(the|V)= 0
P(the|P)= 0
P(the|ART)= .54

Pi
P(N|ø)= .29 P(P|ø)= 0
P(V|ø)= 0 P(ART|ø)= .71
P(N|N)= .13
P(N|V)= .35
P(N|P)= .26
P(N|ART)= 1
P(V|N)= .43
P(V|V)= 0
P(V|P)= 0
P(V|ART)= 0
P(ART|N)= 0
P(ART|V)= .65
P(ART|P)= .74
P(ART|ART)=0
P(P|N)= .44
P(P|V)= 0
P(P|P)= 0
P(P|ART)= 0
A(BigramProbabilities)
NULL
ø
a/V
a/N
a/P
a/ART
bird/
V
bird/
N
bird/
P
bird/
ART
flies/
V
flies/
N
flies/
P
flies/
ART
Score(a/V)= P(V|ø)P(a|V) = 0 x 0.076 = 0
Score(a/N)= P(N|ø)P(a|N) = 0.29 x 0.025 = 0.00725
Score(a/P)= P(P|ø)P(a|P) = 0 x 0.0001 = 0
Score(a/ART)= P(ART|ø)P(a|ART) = 0.71 x 0.36 = 0.2556
B(LexicalGenerationProbabilities)
P(flies|N)= .025
P(flies|V)= .076
P(flies|P)= 0
P(flies|ART)=0
P(like|N)= .012
P(like|V)= .1
P(like|P)= .068
P(like|ART)=0
P(a|N)= .001
P(a|V)= 0
P(a|P)= 0
P(a|ART)=.36
P(birds|N)= .076
P(birds|V)= 0
P(birds|P)= 0
P(birds|ART)=0
P(the|N)= 0
P(the|V)= 0
P(the|P)= 0
P(the|ART)= .54

Pi
P(N|ø)= .29 P(P|ø)= 0
P(V|ø)= 0 P(ART|ø)= .71
P(N|N)= .13
P(N|V)= .35
P(N|P)= .26
P(N|ART)= 1
P(V|N)= .43
P(V|V)= 0
P(V|P)= 0
P(V|ART)= 0
P(ART|N)= 0
P(ART|V)= .65
P(ART|P)= .74
P(ART|ART)=0
P(P|N)= .44
P(P|V)= 0
P(P|P)= 0
P(P|ART)= 0
A(BigramProbabilities)
Score(a/V)= P(V|ø)P(a|V) = 0 x 0.076 = 0
Score(a/N)= P(N|ø)P(a|N) = 0.29 x 0.025 = 0.00725
Score(a/P)= P(P|ø)P(a|P) = 0 x 0.0001 = 0
Score(a/ART)= P(ART|ø)P(a|ART) = 0.71 x 0.36 = 0.2556
B(LexicalGenerationProbabilities)
P(flies|N)= .025
P(flies|V)= .076
P(flies|P)= 0
P(flies|ART)=0
P(like|N)= .012
P(like|V)= .1
P(like|P)= .068
P(like|ART)=0
P(a|N)= .001
P(a|V)= 0
P(a|P)= 0
P(a|ART)=.36
P(birds|N)= .076
P(birds|V)= 0
P(birds|P)= 0
P(birds|ART)=0
P(the|N)= 0
P(the|V)= 0
P(the|P)= 0
P(the|ART)= .54
NULL
ø
a/V
0
a/N
0.00725
a/P
0
a/ART
0.2556
bird/
V
bird/
N
bird/
P
bird/
ART
flies/
V
flies/
N
flies/
P
flies/
ART

Pi
P(N|ø)= .29 P(P|ø)= 0
P(V|ø)= 0 P(ART|ø)= .71
P(N|N)= .13
P(N|V)= .35
P(N|P)= .26
P(N|ART)= 1
P(V|N)= .43
P(V|V)= 0
P(V|P)= 0
P(V|ART)= 0
P(ART|N)= 0
P(ART|V)= .65
P(ART|P)= .74
P(ART|ART)=0
P(P|N)= .44
P(P|V)= 0
P(P|P)= 0
P(P|ART)= 0
A(BigramProbabilities)
Score(bird/V)= max[score(a/V) x P(V|V),
score(a/N) x P(V|N),
score(a/P) x P(V|P),
score(a/ART) x P(V|ART)]
x P(bird|V)
B(LexicalGenerationProbabilities)
P(flies|N)= .025
P(flies|V)= .076
P(flies|P)= 0
P(flies|ART)=0
P(like|N)= .012
P(like|V)= .1
P(like|P)= .068
P(like|ART)=0
P(a|N)= .001
P(a|V)= 0
P(a|P)= 0
P(a|ART)=.36
P(birds|N)= .076
P(birds|V)= 0
P(birds|P)= 0
P(birds|ART)=0
P(the|N)= 0
P(the|V)= 0
P(the|P)= 0
P(the|ART)= .54
NULL
ø
a/V
0
a/N
0.00725
a/P
0
a/ART
0.2556
bird/
V
bird/
N
bird/
P
bird/
ART
flies/
V
flies/
N
flies/
P
flies/
ART

Pi
P(N|ø)= .29 P(P|ø)= 0
P(V|ø)= 0 P(ART|ø)= .71
P(N|N)= .13
P(N|V)= .35
P(N|P)= .26
P(N|ART)= 1
P(V|N)= .43
P(V|V)= 0
P(V|P)= 0
P(V|ART)= 0
P(ART|N)= 0
P(ART|V)= .65
P(ART|P)= .74
P(ART|ART)=0
P(P|N)= .44
P(P|V)= 0
P(P|P)= 0
P(P|ART)= 0
A(BigramProbabilities)
Score(bird/V)= max[score(a/V) x P(V|V),
score(a/N) x P(V|N),
score(a/P) x P(V|P),
score(a/ART) x P(V|ART)]
x P(bird|V)
B(LexicalGenerationProbabilities)
P(flies|N)= .025
P(flies|V)= .076
P(flies|P)= 0
P(flies|ART)=0
P(like|N)= .012
P(like|V)= .1
P(like|P)= .068
P(like|ART)=0
P(a|N)= .001
P(a|V)= 0
P(a|P)= 0
P(a|ART)=.36
P(birds|N)= .076
P(birds|V)= 0
P(birds|P)= 0
P(birds|ART)=0
P(the|N)= 0
P(the|V)= 0
P(the|P)= 0
P(the|ART)= .54
0 x 0
0.00725 x 0.43
0 x 0
0.2556 x 0
0.0001
NULL
ø
a/V
0
a/N
0.00725
a/P
0
a/ART
0.2556
bird/
V
bird/
N
bird/
P
bird/
ART
flies/
V
flies/
N
flies/
P
flies/
ART

Pi
P(N|ø)= .29 P(P|ø)= 0
P(V|ø)= 0 P(ART|ø)= .71
P(N|N)= .13
P(N|V)= .35
P(N|P)= .26
P(N|ART)= 1
P(V|N)= .43
P(V|V)= 0
P(V|P)= 0
P(V|ART)= 0
P(ART|N)= 0
P(ART|V)= .65
P(ART|P)= .74
P(ART|ART)=0
P(P|N)= .44
P(P|V)= 0
P(P|P)= 0
P(P|ART)= 0
A(BigramProbabilities)
Score(bird/V)= max[score(a/V) x P(V|V),
score(a/N) x P(V|N),
score(a/P) x P(V|P),
score(a/ART) x P(V|ART)]
x P(bird|V)
B(LexicalGenerationProbabilities)
P(flies|N)= .025
P(flies|V)= .076
P(flies|P)= 0
P(flies|ART)=0
P(like|N)= .012
P(like|V)= .1
P(like|P)= .068
P(like|ART)=0
P(a|N)= .001
P(a|V)= 0
P(a|P)= 0
P(a|ART)=.36
P(birds|N)= .076
P(birds|V)= 0
P(birds|P)= 0
P(birds|ART)=0
P(the|N)= 0
P(the|V)= 0
P(the|P)= 0
P(the|ART)= .54
0 x 0
0.00725 x 0.43
0 x 0
0.2556 x 0
0.0001
NULL
ø
a/V
0
a/N
0.00725
a/P
0
a/ART
0.2556
bird/
V
bird/
N
bird/
P
bird/
ART
flies/
V
flies/
N
flies/
P
flies/
ART

Pi
P(N|ø)= .29 P(P|ø)= 0
P(V|ø)= 0 P(ART|ø)= .71
P(N|N)= .13
P(N|V)= .35
P(N|P)= .26
P(N|ART)= 1
P(V|N)= .43
P(V|V)= 0
P(V|P)= 0
P(V|ART)= 0
P(ART|N)= 0
P(ART|V)= .65
P(ART|P)= .74
P(ART|ART)=0
P(P|N)= .44
P(P|V)= 0
P(P|P)= 0
P(P|ART)= 0
A(BigramProbabilities)
NULL
ø
a/V
0
a/N
0.00725
a/P
0
a/ART
0.2556
bird/
N
bird/
P
bird/
ART
flies/
V
flies/
N
flies/
P
flies/
ART
Score(bird/V)= max[score(a/V) x P(V|V),
score(a/N) x P(V|N),
score(a/P) x P(V|P),
score(a/ART) x P(V|ART)]
x P(bird|V)
B(LexicalGenerationProbabilities)
P(flies|N)= .025
P(flies|V)= .076
P(flies|P)= 0
P(flies|ART)=0
P(like|N)= .012
P(like|V)= .1
P(like|P)= .068
P(like|ART)=0
P(a|N)= .001
P(a|V)= 0
P(a|P)= 0
P(a|ART)=.36
P(birds|N)= .076
P(birds|V)= 0
P(birds|P)= 0
P(birds|ART)=0
P(the|N)= 0
P(the|V)= 0
P(the|P)= 0
P(the|ART)= .54
0 x 0
0.00725 x 0.43
0 x 0
0.2556 x 0
0.0001
= 0.00725 x 0.43 x 0.0001= 3.11e-7
bird/
V

Pi
P(N|ø)= .29 P(P|ø)= 0
P(V|ø)= 0 P(ART|ø)= .71
P(N|N)= .13
P(N|V)= .35
P(N|P)= .26
P(N|ART)= 1
P(V|N)= .43
P(V|V)= 0
P(V|P)= 0
P(V|ART)= 0
P(ART|N)= 0
P(ART|V)= .65
P(ART|P)= .74
P(ART|ART)=0
P(P|N)= .44
P(P|V)= 0
P(P|P)= 0
P(P|ART)= 0
A(BigramProbabilities)
NULL
ø
a/V
0
a/N
0.00725
a/P
0
a/ART
0.2556
bird/V
3.11e-7
bird/
N
bird/
P
bird/
ART
flies/
V
flies/
N
flies/
P
flies/
ART
Score(bird/V)= max[score(a/V) x P(V|V),
score(a/N) x P(V|N),
score(a/P) x P(V|P),
score(a/ART) x P(V|ART)]
x P(bird|V)
B(LexicalGenerationProbabilities)
P(flies|N)= .025
P(flies|V)= .076
P(flies|P)= 0
P(flies|ART)=0
P(like|N)= .012
P(like|V)= .1
P(like|P)= .068
P(like|ART)=0
P(a|N)= .001
P(a|V)= 0
P(a|P)= 0
P(a|ART)=.36
P(birds|N)= .076
P(birds|V)= 0
P(birds|P)= 0
P(birds|ART)=0
P(the|N)= 0
P(the|V)= 0
P(the|P)= 0
P(the|ART)= .54
0 x 0
0.00725 x 0.43
0 x 0
0.2556 x 0
0.0001
= 0.00725 x 0.43 x 0.0001= 3.11e-7
N

Pi
P(N|ø)= .29 P(P|ø)= 0
P(V|ø)= 0 P(ART|ø)= .71
P(N|N)= .13
P(N|V)= .35
P(N|P)= .26
P(N|ART)= 1
P(V|N)= .43
P(V|V)= 0
P(V|P)= 0
P(V|ART)= 0
P(ART|N)= 0
P(ART|V)= .65
P(ART|P)= .74
P(ART|ART)=0
P(P|N)= .44
P(P|V)= 0
P(P|P)= 0
P(P|ART)= 0
A(BigramProbabilities)
NULL
ø
a/V
0
a/N
0.00725
a/P
0
a/ART
0.2556
bird/V
3.11e-7
bird/
N
bird/
P
bird/
ART
flies/
V
flies/
N
flies/
P
flies/
ART
Score(bird/N)= max[score(a/V) x P(N|V),
score(a/N) x P(N|N),
score(a/P) x P(N|P),
score(a/ART) x P(N|ART)]
x P(bird|N)
B(LexicalGenerationProbabilities)
P(flies|N)= .025
P(flies|V)= .076
P(flies|P)= 0
P(flies|ART)=0
P(like|N)= .012
P(like|V)= .1
P(like|P)= .068
P(like|ART)=0
P(a|N)= .001
P(a|V)= 0
P(a|P)= 0
P(a|ART)=.36
P(birds|N)= .076
P(birds|V)= 0
P(birds|P)= 0
P(birds|ART)=0
P(the|N)= 0
P(the|V)= 0
P(the|P)= 0
P(the|ART)= .54
N

Score(bird/N)= max[score(a/V) x P(N|V),
score(a/N) x P(N|N),
score(a/P) x P(N|P),
score(a/ART) x P(N|ART)]
x P(bird|N)
Pi
P(N|ø)= .29 P(P|ø)= 0
P(V|ø)= 0 P(ART|ø)= .71
P(N|N)= .13
P(N|V)= .35
P(N|P)= .26
P(N|ART)= 1
P(V|N)= .43
P(V|V)= 0
P(V|P)= 0
P(V|ART)= 0
P(ART|N)= 0
P(ART|V)= .65
P(ART|P)= .74
P(ART|ART)=0
P(P|N)= .44
P(P|V)= 0
P(P|P)= 0
P(P|ART)= 0
A(BigramProbabilities)
NULL
ø
a/V
0
a/N
0.00725
a/P
0
a/ART
0.2556
bird/
P
bird/
ART
flies/
V
flies/
N
flies/
P
flies/
ART
B(LexicalGenerationProbabilities)
P(flies|N)= .025
P(flies|V)= .076
P(flies|P)= 0
P(flies|ART)=0
P(like|N)= .012
P(like|V)= .1
P(like|P)= .068
P(like|ART)=0
P(a|N)= .001
P(a|V)= 0
P(a|P)= 0
P(a|ART)=.36
P(birds|N)= .076
P(birds|V)= 0
P(birds|P)= 0
P(birds|ART)=0
P(the|N)= 0
P(the|V)= 0
P(the|P)= 0
P(the|ART)= .54
0 x 0.35
0.00725 x 0.13
0 x 0.26
0.2556 x 1
0.076
N
bird/V
3.11e-7
bird/
N

Score(bird/N)= max[score(a/V) x P(N|V),
score(a/N) x P(N|N),
score(a/P) x P(N|P),
score(a/ART) x P(N|ART)]
x P(bird|N)
Pi
P(N|ø)= .29 P(P|ø)= 0
P(V|ø)= 0 P(ART|ø)= .71
P(N|N)= .13
P(N|V)= .35
P(N|P)= .26
P(N|ART)= 1
P(V|N)= .43
P(V|V)= 0
P(V|P)= 0
P(V|ART)= 0
P(ART|N)= 0
P(ART|V)= .65
P(ART|P)= .74
P(ART|ART)=0
P(P|N)= .44
P(P|V)= 0
P(P|P)= 0
P(P|ART)= 0
A(BigramProbabilities)
NULL
ø
a/V
0
a/N
0.00725
a/P
0
a/ART
0.2556
bird/
P
bird/
ART
flies/
V
flies/
N
flies/
P
flies/
ART
B(LexicalGenerationProbabilities)
P(flies|N)= .025
P(flies|V)= .076
P(flies|P)= 0
P(flies|ART)=0
P(like|N)= .012
P(like|V)= .1
P(like|P)= .068
P(like|ART)=0
P(a|N)= .001
P(a|V)= 0
P(a|P)= 0
P(a|ART)=.36
P(birds|N)= .076
P(birds|V)= 0
P(birds|P)= 0
P(birds|ART)=0
P(the|N)= 0
P(the|V)= 0
P(the|P)= 0
P(the|ART)= .54
N
bird/V
3.11e-7
bird/
N
0 x 0.35
0.00725 x 0.13
0 x 0.26
0.2556 x 1
0.076

Score(bird/N)= max[score(a/V) x P(N|V),
score(a/N) x P(N|N),
score(a/P) x P(N|P),
score(a/ART) x P(N|ART)]
x P(bird|N)
Pi
P(N|ø)= .29 P(P|ø)= 0
P(V|ø)= 0 P(ART|ø)= .71
P(N|N)= .13
P(N|V)= .35
P(N|P)= .26
P(N|ART)= 1
P(V|N)= .43
P(V|V)= 0
P(V|P)= 0
P(V|ART)= 0
P(ART|N)= 0
P(ART|V)= .65
P(ART|P)= .74
P(ART|ART)=0
P(P|N)= .44
P(P|V)= 0
P(P|P)= 0
P(P|ART)= 0
A(BigramProbabilities)
NULL
ø
a/V
0
a/N
0.00725
a/P
0
a/ART
0.2556
bird/
P
bird/
ART
flies/
V
flies/
N
flies/
P
flies/
ART
B(LexicalGenerationProbabilities)
P(flies|N)= .025
P(flies|V)= .076
P(flies|P)= 0
P(flies|ART)=0
P(like|N)= .012
P(like|V)= .1
P(like|P)= .068
P(like|ART)=0
P(a|N)= .001
P(a|V)= 0
P(a|P)= 0
P(a|ART)=.36
P(birds|N)= .076
P(birds|V)= 0
P(birds|P)= 0
P(birds|ART)=0
P(the|N)= 0
P(the|V)= 0
P(the|P)= 0
P(the|ART)= .54
N
bird/V
3.11e-7
bird/
N
0 x 0.35
0.00725 x 0.13
0 x 0.26
0.2556 x 1
0.076

Score(bird/N)= max[score(a/V) x P(N|V),
score(a/N) x P(N|N),
score(a/P) x P(N|P),
score(a/ART) x P(N|ART)]
x P(bird|N)
Pi
P(N|ø)= .29 P(P|ø)= 0
P(V|ø)= 0 P(ART|ø)= .71
P(N|N)= .13
P(N|V)= .35
P(N|P)= .26
P(N|ART)= 1
P(V|N)= .43
P(V|V)= 0
P(V|P)= 0
P(V|ART)= 0
P(ART|N)= 0
P(ART|V)= .65
P(ART|P)= .74
P(ART|ART)=0
P(P|N)= .44
P(P|V)= 0
P(P|P)= 0
P(P|ART)= 0
A(BigramProbabilities)
NULL
ø
a/V
0
a/N
0.00725
a/P
0
a/ART
0.2556
bird/
P
bird/
ART
flies/
V
flies/
N
flies/
P
flies/
ART
B(LexicalGenerationProbabilities)
P(flies|N)= .025
P(flies|V)= .076
P(flies|P)= 0
P(flies|ART)=0
P(like|N)= .012
P(like|V)= .1
P(like|P)= .068
P(like|ART)=0
P(a|N)= .001
P(a|V)= 0
P(a|P)= 0
P(a|ART)=.36
P(birds|N)= .076
P(birds|V)= 0
P(birds|P)= 0
P(birds|ART)=0
P(the|N)= 0
P(the|V)= 0
P(the|P)= 0
P(the|ART)= .54
N
bird/V
3.11e-7
bird/
N
0 x 0.35
0.00725 x 0.13
0 x 0.26
0.2556 x 1
0.076
= 0.2556 x 0.076= 0.019

Score(bird/N)= max[score(a/V) x P(N|V),
score(a/N) x P(N|N),
score(a/P) x P(N|P),
score(a/ART) x P(N|ART)]
x P(bird|N)
Pi
P(N|ø)= .29 P(P|ø)= 0
P(V|ø)= 0 P(ART|ø)= .71
P(N|N)= .13
P(N|V)= .35
P(N|P)= .26
P(N|ART)= 1
P(V|N)= .43
P(V|V)= 0
P(V|P)= 0
P(V|ART)= 0
P(ART|N)= 0
P(ART|V)= .65
P(ART|P)= .74
P(ART|ART)=0
P(P|N)= .44
P(P|V)= 0
P(P|P)= 0
P(P|ART)= 0
A(BigramProbabilities)
NULL
ø
a/V
0
a/N
0.00725
a/P
0
a/ART
0.2556
bird/P
bird/
ART
flies/V
flies/N
flies/P
flies/
ART
B(LexicalGenerationProbabilities)
P(flies|N)= .025
P(flies|V)= .076
P(flies|P)= 0
P(flies|ART)=0
P(like|N)= .012
P(like|V)= .1
P(like|P)= .068
P(like|ART)=0
P(a|N)= .001
P(a|V)= 0
P(a|P)= 0
P(a|ART)=.36
P(birds|N)= .076
P(birds|V)= 0
P(birds|P)= 0
P(birds|ART)=0
P(the|N)= 0
P(the|V)= 0
P(the|P)= 0
P(the|ART)= .54
N
bird/V
3.11e-7
bird/N
0.019
0 x 0.35
0.00725 x 0.13
0 x 0.26
0.2556 x 1
0.076
= 0.2556 x 0.076= 0.019
ART

Score(bird/N)= max[score(a/V) x P(N|V),
score(a/N) x P(N|N),
score(a/P) x P(N|P),
score(a/ART) x P(N|ART)]
x P(bird|N)
Pi
P(N|ø)= .29 P(P|ø)= 0
P(V|ø)= 0 P(ART|ø)= .71
P(N|N)= .13
P(N|V)= .35
P(N|P)= .26
P(N|ART)= 1
P(V|N)= .43
P(V|V)= 0
P(V|P)= 0
P(V|ART)= 0
P(ART|N)= 0
P(ART|V)= .65
P(ART|P)= .74
P(ART|ART)=0
P(P|N)= .44
P(P|V)= 0
P(P|P)= 0
P(P|ART)= 0
A(BigramProbabilities)
NULL
ø
a/V
0
a/N
0.00725
a/P
0
a/ART
0.2556
bird/P
bird/
ART
flies/V
flies/N
flies/P
flies/
ART
B(LexicalGenerationProbabilities)
P(flies|N)= .025
P(flies|V)= .076
P(flies|P)= 0
P(flies|ART)=0
P(like|N)= .012
P(like|V)= .1
P(like|P)= .068
P(like|ART)=0
P(a|N)= .001
P(a|V)= 0
P(a|P)= 0
P(a|ART)=.36
P(birds|N)= .076
P(birds|V)= 0
P(birds|P)= 0
P(birds|ART)=0
P(the|N)= 0
P(the|V)= 0
P(the|P)= 0
P(the|ART)= .54
N
bird/V
3.11e-7
bird/N
0.019
0 x 0.35
0.00725 x 0.13
0 x 0.26
0.2556 x 1
0.076
= 0.2556 x 0.076= 0.019
ART

Score(bird/P)= max[score(a/V) x P(P|V),
score(a/N) x P(P|N),
score(a/P) x P(P|P),
score(a/ART) x P(P|ART)]
x P(bird|P)
Pi
P(N|ø)= .29 P(P|ø)= 0
P(V|ø)= 0 P(ART|ø)= .71
P(N|N)= .13
P(N|V)= .35
P(N|P)= .26
P(N|ART)= 1
P(V|N)= .43
P(V|V)= 0
P(V|P)= 0
P(V|ART)= 0
P(ART|N)= 0
P(ART|V)= .65
P(ART|P)= .74
P(ART|ART)=0
P(P|N)= .44
P(P|V)= 0
P(P|P)= 0
P(P|ART)= 0
A(BigramProbabilities)
NULL
ø
a/V
0
a/N
0.00725
a/P
0
a/ART
0.2556
bird/P
3.19e-7
bird/
ART
flies/V
flies/N
flies/P
flies/
ART
B(LexicalGenerationProbabilities)
P(flies|N)= .025
P(flies|V)= .076
P(flies|P)= 0
P(flies|ART)=0
P(like|N)= .012
P(like|V)= .1
P(like|P)= .068
P(like|ART)=0
P(a|N)= .001
P(a|V)= 0
P(a|P)= 0
P(a|ART)=.36
P(birds|N)= .076
P(birds|V)= 0
P(birds|P)= 0
P(birds|ART)=0
P(the|N)= 0
P(the|V)= 0
P(the|P)= 0
P(the|ART)= .54
N
bird/V
3.11e-7
bird/N
0.019
0 x 0
0.00725 x 0.44
0 x 0
0.2556 x 0
0.0001
= 0.00725 x 0.44 x 0.0001= 3.19e-7
ART
N

Score(bird/P)= max[score(a/V) x P(P|V),
score(a/N) x P(P|N),
score(a/P) x P(P|P),
score(a/ART) x P(P|ART)]
x P(bird|P)
Pi
P(N|ø)= .29 P(P|ø)= 0
P(V|ø)= 0 P(ART|ø)= .71
P(N|N)= .13
P(N|V)= .35
P(N|P)= .26
P(N|ART)= 1
P(V|N)= .43
P(V|V)= 0
P(V|P)= 0
P(V|ART)= 0
P(ART|N)= 0
P(ART|V)= .65
P(ART|P)= .74
P(ART|ART)=0
P(P|N)= .44
P(P|V)= 0
P(P|P)= 0
P(P|ART)= 0
A(BigramProbabilities)
NULL
ø
a/V
0
a/N
0.00725
a/P
0
a/ART
0.2556
bird/P
3.19e-7
bird/
ART
flies/V
flies/N
flies/P
flies/
ART
B(LexicalGenerationProbabilities)
P(flies|N)= .025
P(flies|V)= .076
P(flies|P)= 0
P(flies|ART)=0
P(like|N)= .012
P(like|V)= .1
P(like|P)= .068
P(like|ART)=0
P(a|N)= .001
P(a|V)= 0
P(a|P)= 0
P(a|ART)=.36
P(birds|N)= .076
P(birds|V)= 0
P(birds|P)= 0
P(birds|ART)=0
P(the|N)= 0
P(the|V)= 0
P(the|P)= 0
P(the|ART)= .54
N
bird/V
3.11e-7
bird/N
0.019
0 x 0
0.00725 x 0.44
0 x 0
0.2556 x 0
0.0001
= 0.00725 x 0.44 x 0.0001= 3.19e-7
ART
N

Score(bird/ART)= max[score(a/V) x P(ART|V),
score(a/N) x P(ART|N),
score(a/P) x P(ART|P),
score(a/ART) x P(ART|ART)]
x P(bird| ART)
Pi
P(N|ø)= .29 P(P|ø)= 0
P(V|ø)= 0 P(ART|ø)= .71
P(N|N)= .13
P(N|V)= .35
P(N|P)= .26
P(N|ART)= 1
P(V|N)= .43
P(V|V)= 0
P(V|P)= 0
P(V|ART)= 0
P(ART|N)= 0
P(ART|V)= .65
P(ART|P)= .74
P(ART|ART)=0
P(P|N)= .44
P(P|V)= 0
P(P|P)= 0
P(P|ART)= 0
A(BigramProbabilities)
NULL
ø
a/V
0
a/N
0.00725
a/P
0
a/ART
0.2556
bird/P
3.19e-7
bird/ART
0
flies/V
flies/N
flies/P
flies/
ART
B(LexicalGenerationProbabilities)
P(flies|N)= .025
P(flies|V)= .076
P(flies|P)= 0
P(flies|ART)=0
P(like|N)= .012
P(like|V)= .1
P(like|P)= .068
P(like|ART)=0
P(a|N)= .001
P(a|V)= 0
P(a|P)= 0
P(a|ART)=.36
P(birds|N)= .076
P(birds|V)= 0
P(birds|P)= 0
P(birds|ART)=0
P(the|N)= 0
P(the|V)= 0
P(the|P)= 0
P(the|ART)= .54
N
bird/V
3.11e-7
bird/N
0.019
0 x 0.65
0 x 0.74
0.2556 x 0
0.0001
= 0 x 0.0001= 0
ART
N
0.00725 x 0

Score(bird/ART)= max[score(a/V) x P(ART|V),
score(a/N) x P(ART|N),
score(a/P) x P(ART|P),
score(a/ART) x P(ART|ART)]
x P(bird| ART)
Pi
P(N|ø)= .29 P(P|ø)= 0
P(V|ø)= 0 P(ART|ø)= .71
P(N|N)= .13
P(N|V)= .35
P(N|P)= .26
P(N|ART)= 1
P(V|N)= .43
P(V|V)= 0
P(V|P)= 0
P(V|ART)= 0
P(ART|N)= 0
P(ART|V)= .65
P(ART|P)= .74
P(ART|ART)=0
P(P|N)= .44
P(P|V)= 0
P(P|P)= 0
P(P|ART)= 0
A(BigramProbabilities)
NULL
ø
a/V
0
a/N
0.00725
a/P
0
a/ART
0.2556
bird/P
3.19e-7
bird/ART
0
flies/V
flies/N
flies/P
flies/
ART
B(LexicalGenerationProbabilities)
P(flies|N)= .025
P(flies|V)= .076
P(flies|P)= 0
P(flies|ART)=0
P(like|N)= .012
P(like|V)= .1
P(like|P)= .068
P(like|ART)=0
P(a|N)= .001
P(a|V)= 0
P(a|P)= 0
P(a|ART)=.36
P(birds|N)= .076
P(birds|V)= 0
P(birds|P)= 0
P(birds|ART)=0
P(the|N)= 0
P(the|V)= 0
P(the|P)= 0
P(the|ART)= .54
N
bird/V
3.11e-7
bird/N
0.019
0 x 0.65
0 x 0.74
0.2556 x 0
0.0001
= 0 x 0.0001= 0
ART
N
0.00725 x 0

Score(flies/V)= max[score(bird/V) x P(V|V),
score(bird /N) x P(V|N),
score(bird /P) x P(V|P),
score(bird /ART) x P(V|ART)]
x P(flies|V)
Pi
P(N|ø)= .29 P(P|ø)= 0
P(V|ø)= 0 P(ART|ø)= .71
P(N|N)= .13
P(N|V)= .35
P(N|P)= .26
P(N|ART)= 1
P(V|N)= .43
P(V|V)= 0
P(V|P)= 0
P(V|ART)= 0
P(ART|N)= 0
P(ART|V)= .65
P(ART|P)= .74
P(ART|ART)=0
P(P|N)= .44
P(P|V)= 0
P(P|P)= 0
P(P|ART)= 0
A(BigramProbabilities)
NULL
ø
a/V
0
a/N
0.00725
a/P
0
a/ART
0.2556
bird/P
3.19e-7
bird/ART
0
flies/V
0.00062
flies/N
flies/P
flies/
ART
B(LexicalGenerationProbabilities)
P(flies|N)= .025
P(flies|V)= .076
P(flies|P)= 0
P(flies|ART)=0
P(like|N)= .012
P(like|V)= .1
P(like|P)= .068
P(like|ART)=0
P(a|N)= .001
P(a|V)= 0
P(a|P)= 0
P(a|ART)=.36
P(birds|N)= .076
P(birds|V)= 0
P(birds|P)= 0
P(birds|ART)=0
P(the|N)= 0
P(the|V)= 0
P(the|P)= 0
P(the|ART)= .54
N
bird/V
3.11e-7
bird/N
0.019
3.11e-7 x 0
3.19e-7 x 0
0 x 0
0.076
= 0.019 x 0.43 x 0.076 = 0.00062
ART
N
0.019 x 0.43
N

Score(flies/V)= max[score(bird/V) x P(V|V),
score(bird /N) x P(V|N),
score(bird /P) x P(V|P),
score(bird /ART) x P(V|ART)]
x P(flies|V)
Pi
P(N|ø)= .29 P(P|ø)= 0
P(V|ø)= 0 P(ART|ø)= .71
P(N|N)= .13
P(N|V)= .35
P(N|P)= .26
P(N|ART)= 1
P(V|N)= .43
P(V|V)= 0
P(V|P)= 0
P(V|ART)= 0
P(ART|N)= 0
P(ART|V)= .65
P(ART|P)= .74
P(ART|ART)=0
P(P|N)= .44
P(P|V)= 0
P(P|P)= 0
P(P|ART)= 0
A(BigramProbabilities)
NULL
ø
a/V
0
a/N
0.00725
a/P
0
a/ART
0.2556
bird/P
3.19e-7
bird/ART
0
flies/V
0.00062
flies/N
flies/P
flies/
ART
B(LexicalGenerationProbabilities)
P(flies|N)= .025
P(flies|V)= .076
P(flies|P)= 0
P(flies|ART)=0
P(like|N)= .012
P(like|V)= .1
P(like|P)= .068
P(like|ART)=0
P(a|N)= .001
P(a|V)= 0
P(a|P)= 0
P(a|ART)=.36
P(birds|N)= .076
P(birds|V)= 0
P(birds|P)= 0
P(birds|ART)=0
P(the|N)= 0
P(the|V)= 0
P(the|P)= 0
P(the|ART)= .54
N
bird/V
3.11e-7
bird/N
0.019
3.11e-7 x 0
3.19e-7 x 0
0 x 0
0.076
= 0.019 x 0.43 x 0.076 = 0.00062
ART
N
0.019 x 0.43
N

Score(flies/N)= max[score(bird/V) x P(N|V),
score(bird /N) x P(N|N),
score(bird /P) x P(N|P),
score(bird /ART) x P(N|ART)]
x P(flies|N)
Pi
P(N|ø)= .29 P(P|ø)= 0
P(V|ø)= 0 P(ART|ø)= .71
P(N|N)= .13
P(N|V)= .35
P(N|P)= .26
P(N|ART)= 1
P(V|N)= .43
P(V|V)= 0
P(V|P)= 0
P(V|ART)= 0
P(ART|N)= 0
P(ART|V)= .65
P(ART|P)= .74
P(ART|ART)=0
P(P|N)= .44
P(P|V)= 0
P(P|P)= 0
P(P|ART)= 0
A(BigramProbabilities)
NULL
ø
a/V
0
a/N
0.00725
a/P
0
a/ART
0.2556
bird/P
3.19e-7
bird/ART
0
flies/V
0.00062
flies/N
0.000061
flies/P
flies/
ART
B(LexicalGenerationProbabilities)
P(flies|N)= .025
P(flies|V)= .076
P(flies|P)= 0
P(flies|ART)=0
P(like|N)= .012
P(like|V)= .1
P(like|P)= .068
P(like|ART)=0
P(a|N)= .001
P(a|V)= 0
P(a|P)= 0
P(a|ART)=.36
P(birds|N)= .076
P(birds|V)= 0
P(birds|P)= 0
P(birds|ART)=0
P(the|N)= 0
P(the|V)= 0
P(the|P)= 0
P(the|ART)= .54
N
bird/V
3.11e-7
bird/N
0.019
3.11e-7 x 0.35
3.19e-7 x 0.26
0 x 1
0.025
= 0.019 x 0.13 x 0.025 = 0.000061
ART
N
0.019 x 0.13
N
N

Score(flies/P)= max[score(bird/V) x P(P|V),
score(bird /N) x P(P|N),
score(bird /P) x P(P|P),
score(bird /ART) x P(P|ART)]
x P(flies|P)
Pi
P(N|ø)= .29 P(P|ø)= 0
P(V|ø)= 0 P(ART|ø)= .71
P(N|N)= .13
P(N|V)= .35
P(N|P)= .26
P(N|ART)= 1
P(V|N)= .43
P(V|V)= 0
P(V|P)= 0
P(V|ART)= 0
P(ART|N)= 0
P(ART|V)= .65
P(ART|P)= .74
P(ART|ART)=0
P(P|N)= .44
P(P|V)= 0
P(P|P)= 0
P(P|ART)= 0
A(BigramProbabilities)
NULL
ø
a/V
0
a/N
0.00725
a/P
0
a/ART
0.2556
bird/P
3.19e-7
bird/ART
0
flies/V
0.00062
flies/N
0.000061
flies/P
flies/
ART
B(LexicalGenerationProbabilities)
P(flies|N)= .025
P(flies|V)= .076
P(flies|P)= 0
P(flies|ART)=0
P(like|N)= .012
P(like|V)= .1
P(like|P)= .068
P(like|ART)=0
P(a|N)= .001
P(a|V)= 0
P(a|P)= 0
P(a|ART)=.36
P(birds|N)= .076
P(birds|V)= 0
P(birds|P)= 0
P(birds|ART)=0
P(the|N)= 0
P(the|V)= 0
P(the|P)= 0
P(the|ART)= .54
N
bird/V
3.11e-7
bird/N
0.019
3.11e-7 x 0
3.19e-7 x 0
0 x 0
0.0001
= 0.019 x 0.44 x 0.0001 = 8.36e-7
ART
N
0.019 x 0.44
N
N
N

Score(flies/P)= max[score(bird/V) x P(P|V),
score(bird /N) x P(P|N),
score(bird /P) x P(P|P),
score(bird /ART) x P(P|ART)]
x P(flies|P)
Pi
P(N|ø)= .29 P(P|ø)= 0
P(V|ø)= 0 P(ART|ø)= .71
P(N|N)= .13
P(N|V)= .35
P(N|P)= .26
P(N|ART)= 1
P(V|N)= .43
P(V|V)= 0
P(V|P)= 0
P(V|ART)= 0
P(ART|N)= 0
P(ART|V)= .65
P(ART|P)= .74
P(ART|ART)=0
P(P|N)= .44
P(P|V)= 0
P(P|P)= 0
P(P|ART)= 0
A(BigramProbabilities)
NULL
ø
a/V
0
a/N
0.00725
a/P
0
a/ART
0.2556
bird/P
3.19e-7
bird/ART
0
flies/V
0.00062
flies/N
0.000061
flies/P
8.36e-7
flies/
ART
B(LexicalGenerationProbabilities)
P(flies|N)= .025
P(flies|V)= .076
P(flies|P)= 0
P(flies|ART)=0
P(like|N)= .012
P(like|V)= .1
P(like|P)= .068
P(like|ART)=0
P(a|N)= .001
P(a|V)= 0
P(a|P)= 0
P(a|ART)=.36
P(birds|N)= .076
P(birds|V)= 0
P(birds|P)= 0
P(birds|ART)=0
P(the|N)= 0
P(the|V)= 0
P(the|P)= 0
P(the|ART)= .54
N
bird/V
3.11e-7
bird/N
0.019
3.11e-7 x 0
3.19e-7 x 0
0 x 0
0.0001
= 0.019 x 0.44 x 0.0001 = 8.36e-7
ART
N
0.019 x 0.44
N
N
N

Score(flies/P)= max[score(bird/V) x P(P|V),
score(bird /N) x P(P|N),
score(bird /P) x P(P|P),
score(bird /ART) x P(P|ART)]
x P(flies|P)
Pi
P(N|ø)= .29 P(P|ø)= 0
P(V|ø)= 0 P(ART|ø)= .71
P(N|N)= .13
P(N|V)= .35
P(N|P)= .26
P(N|ART)= 1
P(V|N)= .43
P(V|V)= 0
P(V|P)= 0
P(V|ART)= 0
P(ART|N)= 0
P(ART|V)= .65
P(ART|P)= .74
P(ART|ART)=0
P(P|N)= .44
P(P|V)= 0
P(P|P)= 0
P(P|ART)= 0
A(BigramProbabilities)
NULL
ø
a/V
0
a/N
0.00725
a/P
0
a/ART
0.2556
bird/P
3.19e-7
bird/ART
0
flies/V
0.00062
flies/N
0.000061
flies/P
8.36e-7
flies/
ART
B(LexicalGenerationProbabilities)
P(flies|N)= .025
P(flies|V)= .076
P(flies|P)= 0
P(flies|ART)=0
P(like|N)= .012
P(like|V)= .1
P(like|P)= .068
P(like|ART)=0
P(a|N)= .001
P(a|V)= 0
P(a|P)= 0
P(a|ART)=.36
P(birds|N)= .076
P(birds|V)= 0
P(birds|P)= 0
P(birds|ART)=0
P(the|N)= 0
P(the|V)= 0
P(the|P)= 0
P(the|ART)= .54
N
bird/V
3.11e-7
bird/N
0.019
3.11e-7 x 0
3.19e-7 x 0
0 x 0
0.0001
= 0.019 x 0.44 x 0.0001 = 8.36e-7
ART
N
0.019 x 0.44
N
N
N

Score(flies/ART)= max[score(bird/V) x P(ART|V),
score(bird /N) x P(ART|N),
score(bird /P) x P(ART|P),
score(bird /ART) x P(ART|ART)]
x P(flies|ART)
Pi
P(N|ø)= .29 P(P|ø)= 0
P(V|ø)= 0 P(ART|ø)= .71
P(N|N)= .13
P(N|V)= .35
P(N|P)= .26
P(N|ART)= 1
P(V|N)= .43
P(V|V)= 0
P(V|P)= 0
P(V|ART)= 0
P(ART|N)= 0
P(ART|V)= .65
P(ART|P)= .74
P(ART|ART)=0
P(P|N)= .44
P(P|V)= 0
P(P|P)= 0
P(P|ART)= 0
A(BigramProbabilities)
NULL
ø
a/V
0
a/N
0.00725
a/P
0
a/ART
0.2556
bird/P
3.19e-7
bird/ART
0
flies/V
0.00062
flies/N
0.000061
flies/P
8.36e-7
flies/
ART
B(LexicalGenerationProbabilities)
P(flies|N)= .025
P(flies|V)= .076
P(flies|P)= 0
P(flies|ART)=0
P(like|N)= .012
P(like|V)= .1
P(like|P)= .068
P(like|ART)=0
P(a|N)= .001
P(a|V)= 0
P(a|P)= 0
P(a|ART)=.36
P(birds|N)= .076
P(birds|V)= 0
P(birds|P)= 0
P(birds|ART)=0
P(the|N)= 0
P(the|V)= 0
P(the|P)= 0
P(the|ART)= .54
N
bird/V
3.11e-7
bird/N
0.019
3.11e-7 x 0.65
3.19e-7 x 0.74
0 x 0
0.0001
= 3.19e-7 x 0.74 x 0.0001 = 2.36e-11
ART
N
0.019 x 0
N
N
N

Score(flies/ART)= max[score(bird/V) x P(ART|V),
score(bird /N) x P(ART|N),
score(bird /P) x P(ART|P),
score(bird /ART) x P(ART|ART)]
x P(flies|ART)
Pi
P(N|ø)= .29 P(P|ø)= 0
P(V|ø)= 0 P(ART|ø)= .71
P(N|N)= .13
P(N|V)= .35
P(N|P)= .26
P(N|ART)= 1
P(V|N)= .43
P(V|V)= 0
P(V|P)= 0
P(V|ART)= 0
P(ART|N)= 0
P(ART|V)= .65
P(ART|P)= .74
P(ART|ART)=0
P(P|N)= .44
P(P|V)= 0
P(P|P)= 0
P(P|ART)= 0
A(BigramProbabilities)
NULL
ø
a/V
0
a/N
0.00725
a/P
0
a/ART
0.2556
bird/P
3.19e-7
bird/ART
0
flies/V
0.00062
flies/N
0.000061
flies/P
8.36e-7
flies/ART
2.36e-11
B(LexicalGenerationProbabilities)
P(flies|N)= .025
P(flies|V)= .076
P(flies|P)= 0
P(flies|ART)=0
P(like|N)= .012
P(like|V)= .1
P(like|P)= .068
P(like|ART)=0
P(a|N)= .001
P(a|V)= 0
P(a|P)= 0
P(a|ART)=.36
P(birds|N)= .076
P(birds|V)= 0
P(birds|P)= 0
P(birds|ART)=0
P(the|N)= 0
P(the|V)= 0
P(the|P)= 0
P(the|ART)= .54
N
bird/V
3.11e-7
bird/N
0.019
3.11e-7 x 0.65
3.19e-7 x 0.74
0 x 0
0.0001
= 3.19e-7 x 0.74 x 0.0001 = 2.36e-11
ART
N
0.019 x 0
N
N
N
P

Score(flies/ART)= max[score(bird/V) x P(ART|V),
score(bird /N) x P(ART|N),
score(bird /P) x P(ART|P),
score(bird /ART) x P(ART|ART)]
x P(flies|ART)
Pi
P(N|ø)= .29 P(P|ø)= 0
P(V|ø)= 0 P(ART|ø)= .71
P(N|N)= .13
P(N|V)= .35
P(N|P)= .26
P(N|ART)= 1
P(V|N)= .43
P(V|V)= 0
P(V|P)= 0
P(V|ART)= 0
P(ART|N)= 0
P(ART|V)= .65
P(ART|P)= .74
P(ART|ART)=0
P(P|N)= .44
P(P|V)= 0
P(P|P)= 0
P(P|ART)= 0
A(BigramProbabilities)
NULL
ø
a/V
0
a/N
0.00725
a/P
0
a/ART
0.2556
bird/P
3.19e-7
bird/ART
0
flies/V
0.00062
flies/N
0.000061
flies/P
8.36e-7
flies/ART
2.36e-11
B(LexicalGenerationProbabilities)
P(flies|N)= .025
P(flies|V)= .076
P(flies|P)= 0
P(flies|ART)=0
P(like|N)= .012
P(like|V)= .1
P(like|P)= .068
P(like|ART)=0
P(a|N)= .001
P(a|V)= 0
P(a|P)= 0
P(a|ART)=.36
P(birds|N)= .076
P(birds|V)= 0
P(birds|P)= 0
P(birds|ART)=0
P(the|N)= 0
P(the|V)= 0
P(the|P)= 0
P(the|ART)= .54
N
bird/V
3.11e-7
bird/N
0.019
3.11e-7 x 0.65
3.19e-7 x 0.74
0 x 0
0.0001
= 3.19e-7 x 0.74 x 0.0001 = 2.36e-11
ART
N
0.019 x 0
N
N
N
P

Pi
P(N|ø)= .29 P(P|ø)= 0
P(V|ø)= 0 P(ART|ø)= .71
P(N|N)= .13
P(N|V)= .35
P(N|P)= .26
P(N|ART)= 1
P(V|N)= .43
P(V|V)= 0
P(V|P)= 0
P(V|ART)= 0
P(ART|N)= 0
P(ART|V)= .65
P(ART|P)= .74
P(ART|ART)=0
P(P|N)= .44
P(P|V)= 0
P(P|P)= 0
P(P|ART)= 0
A(BigramProbabilities)
NULL
ø
a/V
0
a/N
0.00725
a/P
0
a/ART
0.2556
bird/P
3.19e-7
bird/ART
0
flies/V
0.00062
flies/N
0.000061
flies/P
8.36e-7
flies/ART
2.36e-11
B(LexicalGenerationProbabilities)
P(flies|N)= .025
P(flies|V)= .076
P(flies|P)= 0
P(flies|ART)=0
P(like|N)= .012
P(like|V)= .1
P(like|P)= .068
P(like|ART)=0
P(a|N)= .001
P(a|V)= 0
P(a|P)= 0
P(a|ART)=.36
P(birds|N)= .076
P(birds|V)= 0
P(birds|P)= 0
P(birds|ART)=0
P(the|N)= 0
P(the|V)= 0
P(the|P)= 0
P(the|ART)= .54
N
bird/V
3.11e-7
bird/N
0.019
ART
N
N
N
N
P
Max of
Last
Layer

Pi
P(N|ø)= .29 P(P|ø)= 0
P(V|ø)= 0 P(ART|ø)= .71
P(N|N)= .13
P(N|V)= .35
P(N|P)= .26
P(N|ART)= 1
P(V|N)= .43
P(V|V)= 0
P(V|P)= 0
P(V|ART)= 0
P(ART|N)= 0
P(ART|V)= .65
P(ART|P)= .74
P(ART|ART)=0
P(P|N)= .44
P(P|V)= 0
P(P|P)= 0
P(P|ART)= 0
A(BigramProbabilities)
NULL
ø
a/V
0
a/N
0.00725
a/P
0
a/ART
0.2556
bird/P
3.19e-7
bird/ART
0
flies/V
0.00062
flies/N
0.000061
flies/P
8.36e-7
flies/ART
2.36e-11
B(LexicalGenerationProbabilities)
P(flies|N)= .025
P(flies|V)= .076
P(flies|P)= 0
P(flies|ART)=0
P(like|N)= .012
P(like|V)= .1
P(like|P)= .068
P(like|ART)=0
P(a|N)= .001
P(a|V)= 0
P(a|P)= 0
P(a|ART)=.36
P(birds|N)= .076
P(birds|V)= 0
P(birds|P)= 0
P(birds|ART)=0
P(the|N)= 0
P(the|V)= 0
P(the|P)= 0
P(the|ART)= .54
N
bird/V
3.11e-7
bird/N
0.019
ART
N
N
N
N
P
Max of
Last
Layer

Pi
P(N|ø)= .29 P(P|ø)= 0
P(V|ø)= 0 P(ART|ø)= .71
P(N|N)= .13
P(N|V)= .35
P(N|P)= .26
P(N|ART)= 1
P(V|N)= .43
P(V|V)= 0
P(V|P)= 0
P(V|ART)= 0
P(ART|N)= 0
P(ART|V)= .65
P(ART|P)= .74
P(ART|ART)=0
P(P|N)= .44
P(P|V)= 0
P(P|P)= 0
P(P|ART)= 0
A(BigramProbabilities)
NULL
ø
a/V
0
a/N
0.00725
a/P
0
a/ART
0.2556
bird/P
3.19e-7
bird/ART
0
flies/V
0.00062
flies/N
0.000061
flies/P
8.36e-7
flies/ART
2.36e-11
B(LexicalGenerationProbabilities)
P(flies|N)= .025
P(flies|V)= .076
P(flies|P)= 0
P(flies|ART)=0
P(like|N)= .012
P(like|V)= .1
P(like|P)= .068
P(like|ART)=0
P(a|N)= .001
P(a|V)= 0
P(a|P)= 0
P(a|ART)=.36
P(birds|N)= .076
P(birds|V)= 0
P(birds|P)= 0
P(birds|ART)=0
P(the|N)= 0
P(the|V)= 0
P(the|P)= 0
P(the|ART)= .54
N
bird/V
3.11e-7
bird/N
0.019
ART
N
N
N
N
P
So the
POS TAG
of “flies”
is
Verb

Pi
P(N|ø)= .29 P(P|ø)= 0
P(V|ø)= 0 P(ART|ø)= .71
P(N|N)= .13
P(N|V)= .35
P(N|P)= .26
P(N|ART)= 1
P(V|N)= .43
P(V|V)= 0
P(V|P)= 0
P(V|ART)= 0
P(ART|N)= 0
P(ART|V)= .65
P(ART|P)= .74
P(ART|ART)=0
P(P|N)= .44
P(P|V)= 0
P(P|P)= 0
P(P|ART)= 0
A(BigramProbabilities)
NULL
ø
a/V
0
a/N
0.00725
a/P
0
a/ART
0.2556
bird/P
3.19e-7
bird/ART
0
flies/V
0.00062
flies/N
0.000061
flies/P
8.36e-7
flies/ART
2.36e-11
B(LexicalGenerationProbabilities)
P(flies|N)= .025
P(flies|V)= .076
P(flies|P)= 0
P(flies|ART)=0
P(like|N)= .012
P(like|V)= .1
P(like|P)= .068
P(like|ART)=0
P(a|N)= .001
P(a|V)= 0
P(a|P)= 0
P(a|ART)=.36
P(birds|N)= .076
P(birds|V)= 0
P(birds|P)= 0
P(birds|ART)=0
P(the|N)= 0
P(the|V)= 0
P(the|P)= 0
P(the|ART)= .54
N
bird/V
3.11e-7
bird/N
0.019
ART
N
N
N
N
P
Label is N
so go to
N of layer
2

Pi
P(N|ø)= .29 P(P|ø)= 0
P(V|ø)= 0 P(ART|ø)= .71
P(N|N)= .13
P(N|V)= .35
P(N|P)= .26
P(N|ART)= 1
P(V|N)= .43
P(V|V)= 0
P(V|P)= 0
P(V|ART)= 0
P(ART|N)= 0
P(ART|V)= .65
P(ART|P)= .74
P(ART|ART)=0
P(P|N)= .44
P(P|V)= 0
P(P|P)= 0
P(P|ART)= 0
A(BigramProbabilities)
NULL
ø
a/V
0
a/N
0.00725
a/P
0
a/ART
0.2556
bird/P
3.19e-7
bird/ART
0
flies/V
0.00062
flies/N
0.000061
flies/P
8.36e-7
flies/ART
2.36e-11
B(LexicalGenerationProbabilities)
P(flies|N)= .025
P(flies|V)= .076
P(flies|P)= 0
P(flies|ART)=0
P(like|N)= .012
P(like|V)= .1
P(like|P)= .068
P(like|ART)=0
P(a|N)= .001
P(a|V)= 0
P(a|P)= 0
P(a|ART)=.36
P(birds|N)= .076
P(birds|V)= 0
P(birds|P)= 0
P(birds|ART)=0
P(the|N)= 0
P(the|V)= 0
P(the|P)= 0
P(the|ART)= .54
N
bird/V
3.11e-7
bird/N
0.019
ART
N
N
N
N
P
So bird is
a Noun

Pi
P(N|ø)= .29 P(P|ø)= 0
P(V|ø)= 0 P(ART|ø)= .71
P(N|N)= .13
P(N|V)= .35
P(N|P)= .26
P(N|ART)= 1
P(V|N)= .43
P(V|V)= 0
P(V|P)= 0
P(V|ART)= 0
P(ART|N)= 0
P(ART|V)= .65
P(ART|P)= .74
P(ART|ART)=0
P(P|N)= .44
P(P|V)= 0
P(P|P)= 0
P(P|ART)= 0
A(BigramProbabilities)
NULL
ø
a/V
0
a/N
0.00725
a/P
0
a/ART
0.2556
bird/P
3.19e-7
bird/ART
0
flies/V
0.00062
flies/N
0.000061
flies/P
8.36e-7
flies/ART
2.36e-11
B(LexicalGenerationProbabilities)
P(flies|N)= .025
P(flies|V)= .076
P(flies|P)= 0
P(flies|ART)=0
P(like|N)= .012
P(like|V)= .1
P(like|P)= .068
P(like|ART)=0
P(a|N)= .001
P(a|V)= 0
P(a|P)= 0
P(a|ART)=.36
P(birds|N)= .076
P(birds|V)= 0
P(birds|P)= 0
P(birds|ART)=0
P(the|N)= 0
P(the|V)= 0
P(the|P)= 0
P(the|ART)= .54
N
bird/V
3.11e-7
bird/N
0.019
ART
N
N
N
N
P
What’s
the
label?
ART

Pi
P(N|ø)= .29 P(P|ø)= 0
P(V|ø)= 0 P(ART|ø)= .71
P(N|N)= .13
P(N|V)= .35
P(N|P)= .26
P(N|ART)= 1
P(V|N)= .43
P(V|V)= 0
P(V|P)= 0
P(V|ART)= 0
P(ART|N)= 0
P(ART|V)= .65
P(ART|P)= .74
P(ART|ART)=0
P(P|N)= .44
P(P|V)= 0
P(P|P)= 0
P(P|ART)= 0
A(BigramProbabilities)
NULL
ø
a/V
0
a/N
0.00725
a/P
0
a/ART
0.2556
bird/P
3.19e-7
bird/ART
0
flies/V
0.00062
flies/N
0.000061
flies/P
8.36e-7
flies/ART
2.36e-11
B(LexicalGenerationProbabilities)
P(flies|N)= .025
P(flies|V)= .076
P(flies|P)= 0
P(flies|ART)=0
P(like|N)= .012
P(like|V)= .1
P(like|P)= .068
P(like|ART)=0
P(a|N)= .001
P(a|V)= 0
P(a|P)= 0
P(a|ART)=.36
P(birds|N)= .076
P(birds|V)= 0
P(birds|P)= 0
P(birds|ART)=0
P(the|N)= 0
P(the|V)= 0
P(the|P)= 0
P(the|ART)= .54
N
bird/V
3.11e-7
bird/N
0.019
ART
N
N
N
N
P
So go to
ART of
layer 1

Pi
P(N|ø)= .29 P(P|ø)= 0
P(V|ø)= 0 P(ART|ø)= .71
P(N|N)= .13
P(N|V)= .35
P(N|P)= .26
P(N|ART)= 1
P(V|N)= .43
P(V|V)= 0
P(V|P)= 0
P(V|ART)= 0
P(ART|N)= 0
P(ART|V)= .65
P(ART|P)= .74
P(ART|ART)=0
P(P|N)= .44
P(P|V)= 0
P(P|P)= 0
P(P|ART)= 0
A(BigramProbabilities)
NULL
ø
a/V
0
a/N
0.00725
a/P
0
a/ART
0.2556
bird/P
3.19e-7
bird/ART
0
flies/V
0.00062
flies/N
0.000061
flies/P
8.36e-7
flies/ART
2.36e-11
B(LexicalGenerationProbabilities)
P(flies|N)= .025
P(flies|V)= .076
P(flies|P)= 0
P(flies|ART)=0
P(like|N)= .012
P(like|V)= .1
P(like|P)= .068
P(like|ART)=0
P(a|N)= .001
P(a|V)= 0
P(a|P)= 0
P(a|ART)=.36
P(birds|N)= .076
P(birds|V)= 0
P(birds|P)= 0
P(birds|ART)=0
P(the|N)= 0
P(the|V)= 0
P(the|P)= 0
P(the|ART)= .54
N
bird/V
3.11e-7
bird/N
0.019
ART
N
N
N
N
P
So “a” is
an ART

Pi
P(N|ø)= .29 P(P|ø)= 0
P(V|ø)= 0 P(ART|ø)= .71
P(N|N)= .13
P(N|V)= .35
P(N|P)= .26
P(N|ART)= 1
P(V|N)= .43
P(V|V)= 0
P(V|P)= 0
P(V|ART)= 0
P(ART|N)= 0
P(ART|V)= .65
P(ART|P)= .74
P(ART|ART)=0
P(P|N)= .44
P(P|V)= 0
P(P|P)= 0
P(P|ART)= 0
A(BigramProbabilities)
NULL
ø
a/V
0
a/N
0.00725
a/P
0
a/ART
0.2556
bird/P
3.19e-7
bird/ART
0
flies/V
0.00062
flies/N
0.000061
flies/P
8.36e-7
flies/ART
2.36e-11
B(LexicalGenerationProbabilities)
P(flies|N)= .025
P(flies|V)= .076
P(flies|P)= 0
P(flies|ART)=0
P(like|N)= .012
P(like|V)= .1
P(like|P)= .068
P(like|ART)=0
P(a|N)= .001
P(a|V)= 0
P(a|P)= 0
P(a|ART)=.36
P(birds|N)= .076
P(birds|V)= 0
P(birds|P)= 0
P(birds|ART)=0
P(the|N)= 0
P(the|V)= 0
P(the|P)= 0
P(the|ART)= .54
N
bird/V
3.11e-7
bird/N
0.019
ART
N
N
N
N
P
What’s the
label?
It’s the
beginning
of the
sentence.

Pi
P(N|ø)= .29 P(P|ø)= 0
P(V|ø)= 0 P(ART|ø)= .71
P(N|N)= .13
P(N|V)= .35
P(N|P)= .26
P(N|ART)= 1
P(V|N)= .43
P(V|V)= 0
P(V|P)= 0
P(V|ART)= 0
P(ART|N)= 0
P(ART|V)= .65
P(ART|P)= .74
P(ART|ART)=0
P(P|N)= .44
P(P|V)= 0
P(P|P)= 0
P(P|ART)= 0
A(BigramProbabilities)
NULL
ø
a/V
0
a/N
0.00725
a/P
0
a/ART
0.2556
bird/P
3.19e-7
bird/ART
0
flies/V
0.00062
flies/N
0.000061
flies/P
8.36e-7
flies/ART
2.36e-11
B(LexicalGenerationProbabilities)
P(flies|N)= .025
P(flies|V)= .076
P(flies|P)= 0
P(flies|ART)=0
P(like|N)= .012
P(like|V)= .1
P(like|P)= .068
P(like|ART)=0
P(a|N)= .001
P(a|V)= 0
P(a|P)= 0
P(a|ART)=.36
P(birds|N)= .076
P(birds|V)= 0
P(birds|P)= 0
P(birds|ART)=0
P(the|N)= 0
P(the|V)= 0
P(the|P)= 0
P(the|ART)= .54
N
bird/V
3.11e-7
bird/N
0.019
ART
N
N
N
N
P
A bird flies
ART N V

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1. ViterBi Algorithm Sarah Saneei Computational Linguistics

2. Pi P(N|ø)= .29 P(P|ø)= 0 P(V|ø)= 0 P(ART|ø)= .71 P(N|N)= .13 P(N|V)= .35 P(N|P)= .26 P(N|ART)= 1 P(V|N)= .43 P(V|V)= 0 P(V|P)= 0 P(V|ART)= 0 P(ART|N)= 0 P(ART|V)= .65 P(ART|P)= .74 P(ART|ART)=0 P(P|N)= .44 P(P|V)= 0 P(P|P)= 0 P(P|ART)= 0 A(BigramProbabilities)B(LexicalGenerationProbabilities) P(flies|N)= .025 P(flies|V)= .076 P(flies|P)= 0 P(flies|ART)=0 P(like|N)= .012 P(like|V)= .1 P(like|P)= .068 P(like|ART)=0 P(a|N)= .001 P(a|V)= 0 P(a|P)= 0 P(a|ART)=.36 P(birds|N)= .076 P(birds|V)= 0 P(birds|P)= 0 P(birds|ART)=0 P(the|N)= 0 P(the|V)= 0 P(the|P)= 0 P(the|ART)= .54

3. Pi P(N|ø)= .29 P(P|ø)= 0 P(V|ø)= 0 P(ART|ø)= .71 P(N|N)= .13 P(N|V)= .35 P(N|P)= .26 P(N|ART)= 1 P(V|N)= .43 P(V|V)= 0 P(V|P)= 0 P(V|ART)= 0 P(ART|N)= 0 P(ART|V)= .65 P(ART|P)= .74 P(ART|ART)=0 P(P|N)= .44 P(P|V)= 0 P(P|P)= 0 P(P|ART)= 0 A(BigramProbabilities) NULL ø Words Tags B(LexicalGenerationProbabilities) P(flies|N)= .025 P(flies|V)= .076 P(flies|P)= 0 P(flies|ART)=0 P(like|N)= .012 P(like|V)= .1 P(like|P)= .068 P(like|ART)=0 P(a|N)= .001 P(a|V)= 0 P(a|P)= 0 P(a|ART)=.36 P(birds|N)= .076 P(birds|V)= 0 P(birds|P)= 0 P(birds|ART)=0 P(the|N)= 0 P(the|V)= 0 P(the|P)= 0 P(the|ART)= .54

4. Pi P(N|ø)= .29 P(P|ø)= 0 P(V|ø)= 0 P(ART|ø)= .71 P(N|N)= .13 P(N|V)= .35 P(N|P)= .26 P(N|ART)= 1 P(V|N)= .43 P(V|V)= 0 P(V|P)= 0 P(V|ART)= 0 P(ART|N)= 0 P(ART|V)= .65 P(ART|P)= .74 P(ART|ART)=0 P(P|N)= .44 P(P|V)= 0 P(P|P)= 0 P(P|ART)= 0 A(BigramProbabilities) NULL ø Words Tags a/V a/N a/P a/ART bird/ V bird/ N bird/ P bird/ ART flies/ V flies/ N flies/ P flies/ ART B(LexicalGenerationProbabilities) P(flies|N)= .025 P(flies|V)= .076 P(flies|P)= 0 P(flies|ART)=0 P(like|N)= .012 P(like|V)= .1 P(like|P)= .068 P(like|ART)=0 P(a|N)= .001 P(a|V)= 0 P(a|P)= 0 P(a|ART)=.36 P(birds|N)= .076 P(birds|V)= 0 P(birds|P)= 0 P(birds|ART)=0 P(the|N)= 0 P(the|V)= 0 P(the|P)= 0 P(the|ART)= .54

5. Pi P(N|ø)= .29 P(P|ø)= 0 P(V|ø)= 0 P(ART|ø)= .71 P(N|N)= .13 P(N|V)= .35 P(N|P)= .26 P(N|ART)= 1 P(V|N)= .43 P(V|V)= 0 P(V|P)= 0 P(V|ART)= 0 P(ART|N)= 0 P(ART|V)= .65 P(ART|P)= .74 P(ART|ART)=0 P(P|N)= .44 P(P|V)= 0 P(P|P)= 0 P(P|ART)= 0 A(BigramProbabilities) NULL ø a/V a/N a/P a/ART bird/ V bird/ N bird/ P bird/ ART flies/ V flies/ N flies/ P flies/ ART B(LexicalGenerationProbabilities) P(flies|N)= .025 P(flies|V)= .076 P(flies|P)= 0 P(flies|ART)=0 P(like|N)= .012 P(like|V)= .1 P(like|P)= .068 P(like|ART)=0 P(a|N)= .001 P(a|V)= 0 P(a|P)= 0 P(a|ART)=.36 P(birds|N)= .076 P(birds|V)= 0 P(birds|P)= 0 P(birds|ART)=0 P(the|N)= 0 P(the|V)= 0 P(the|P)= 0 P(the|ART)= .54

6. Pi P(N|ø)= .29 P(P|ø)= 0 P(V|ø)= 0 P(ART|ø)= .71 P(N|N)= .13 P(N|V)= .35 P(N|P)= .26 P(N|ART)= 1 P(V|N)= .43 P(V|V)= 0 P(V|P)= 0 P(V|ART)= 0 P(ART|N)= 0 P(ART|V)= .65 P(ART|P)= .74 P(ART|ART)=0 P(P|N)= .44 P(P|V)= 0 P(P|P)= 0 P(P|ART)= 0 A(BigramProbabilities) NULL ø a/V a/N a/P a/ART bird/ V bird/ N bird/ P bird/ ART flies/ V flies/ N flies/ P flies/ ART Score(a/V)= P(V|ø)P(a|V) = 0 x 0.076 = 0 Score(a/N)= P(N|ø)P(a|N) = 0.29 x 0.025 = 0.00725 Score(a/P)= P(P|ø)P(a|P) = 0 x 0.0001 = 0 Score(a/ART)= P(ART|ø)P(a|ART) = 0.71 x 0.36 = 0.2556 B(LexicalGenerationProbabilities) P(flies|N)= .025 P(flies|V)= .076 P(flies|P)= 0 P(flies|ART)=0 P(like|N)= .012 P(like|V)= .1 P(like|P)= .068 P(like|ART)=0 P(a|N)= .001 P(a|V)= 0 P(a|P)= 0 P(a|ART)=.36 P(birds|N)= .076 P(birds|V)= 0 P(birds|P)= 0 P(birds|ART)=0 P(the|N)= 0 P(the|V)= 0 P(the|P)= 0 P(the|ART)= .54

7. Pi P(N|ø)= .29 P(P|ø)= 0 P(V|ø)= 0 P(ART|ø)= .71 P(N|N)= .13 P(N|V)= .35 P(N|P)= .26 P(N|ART)= 1 P(V|N)= .43 P(V|V)= 0 P(V|P)= 0 P(V|ART)= 0 P(ART|N)= 0 P(ART|V)= .65 P(ART|P)= .74 P(ART|ART)=0 P(P|N)= .44 P(P|V)= 0 P(P|P)= 0 P(P|ART)= 0 A(BigramProbabilities) NULL ø a/V a/N a/P a/ART bird/ V bird/ N bird/ P bird/ ART flies/ V flies/ N flies/ P flies/ ART Score(a/V)= P(V|ø)P(a|V) = 0 x 0.076 = 0 Score(a/N)= P(N|ø)P(a|N) = 0.29 x 0.025 = 0.00725 Score(a/P)= P(P|ø)P(a|P) = 0 x 0.0001 = 0 Score(a/ART)= P(ART|ø)P(a|ART) = 0.71 x 0.36 = 0.2556 B(LexicalGenerationProbabilities) P(flies|N)= .025 P(flies|V)= .076 P(flies|P)= 0 P(flies|ART)=0 P(like|N)= .012 P(like|V)= .1 P(like|P)= .068 P(like|ART)=0 P(a|N)= .001 P(a|V)= 0 P(a|P)= 0 P(a|ART)=.36 P(birds|N)= .076 P(birds|V)= 0 P(birds|P)= 0 P(birds|ART)=0 P(the|N)= 0 P(the|V)= 0 P(the|P)= 0 P(the|ART)= .54

8. Pi P(N|ø)= .29 P(P|ø)= 0 P(V|ø)= 0 P(ART|ø)= .71 P(N|N)= .13 P(N|V)= .35 P(N|P)= .26 P(N|ART)= 1 P(V|N)= .43 P(V|V)= 0 P(V|P)= 0 P(V|ART)= 0 P(ART|N)= 0 P(ART|V)= .65 P(ART|P)= .74 P(ART|ART)=0 P(P|N)= .44 P(P|V)= 0 P(P|P)= 0 P(P|ART)= 0 A(BigramProbabilities) Score(a/V)= P(V|ø)P(a|V) = 0 x 0.076 = 0 Score(a/N)= P(N|ø)P(a|N) = 0.29 x 0.025 = 0.00725 Score(a/P)= P(P|ø)P(a|P) = 0 x 0.0001 = 0 Score(a/ART)= P(ART|ø)P(a|ART) = 0.71 x 0.36 = 0.2556 B(LexicalGenerationProbabilities) P(flies|N)= .025 P(flies|V)= .076 P(flies|P)= 0 P(flies|ART)=0 P(like|N)= .012 P(like|V)= .1 P(like|P)= .068 P(like|ART)=0 P(a|N)= .001 P(a|V)= 0 P(a|P)= 0 P(a|ART)=.36 P(birds|N)= .076 P(birds|V)= 0 P(birds|P)= 0 P(birds|ART)=0 P(the|N)= 0 P(the|V)= 0 P(the|P)= 0 P(the|ART)= .54 NULL ø a/V 0 a/N 0.00725 a/P 0 a/ART 0.2556 bird/ V bird/ N bird/ P bird/ ART flies/ V flies/ N flies/ P flies/ ART

9. Pi P(N|ø)= .29 P(P|ø)= 0 P(V|ø)= 0 P(ART|ø)= .71 P(N|N)= .13 P(N|V)= .35 P(N|P)= .26 P(N|ART)= 1 P(V|N)= .43 P(V|V)= 0 P(V|P)= 0 P(V|ART)= 0 P(ART|N)= 0 P(ART|V)= .65 P(ART|P)= .74 P(ART|ART)=0 P(P|N)= .44 P(P|V)= 0 P(P|P)= 0 P(P|ART)= 0 A(BigramProbabilities) Score(bird/V)= max[score(a/V) x P(V|V), score(a/N) x P(V|N), score(a/P) x P(V|P), score(a/ART) x P(V|ART)] x P(bird|V) B(LexicalGenerationProbabilities) P(flies|N)= .025 P(flies|V)= .076 P(flies|P)= 0 P(flies|ART)=0 P(like|N)= .012 P(like|V)= .1 P(like|P)= .068 P(like|ART)=0 P(a|N)= .001 P(a|V)= 0 P(a|P)= 0 P(a|ART)=.36 P(birds|N)= .076 P(birds|V)= 0 P(birds|P)= 0 P(birds|ART)=0 P(the|N)= 0 P(the|V)= 0 P(the|P)= 0 P(the|ART)= .54 NULL ø a/V 0 a/N 0.00725 a/P 0 a/ART 0.2556 bird/ V bird/ N bird/ P bird/ ART flies/ V flies/ N flies/ P flies/ ART

10. Pi P(N|ø)= .29 P(P|ø)= 0 P(V|ø)= 0 P(ART|ø)= .71 P(N|N)= .13 P(N|V)= .35 P(N|P)= .26 P(N|ART)= 1 P(V|N)= .43 P(V|V)= 0 P(V|P)= 0 P(V|ART)= 0 P(ART|N)= 0 P(ART|V)= .65 P(ART|P)= .74 P(ART|ART)=0 P(P|N)= .44 P(P|V)= 0 P(P|P)= 0 P(P|ART)= 0 A(BigramProbabilities) Score(bird/V)= max[score(a/V) x P(V|V), score(a/N) x P(V|N), score(a/P) x P(V|P), score(a/ART) x P(V|ART)] x P(bird|V) B(LexicalGenerationProbabilities) P(flies|N)= .025 P(flies|V)= .076 P(flies|P)= 0 P(flies|ART)=0 P(like|N)= .012 P(like|V)= .1 P(like|P)= .068 P(like|ART)=0 P(a|N)= .001 P(a|V)= 0 P(a|P)= 0 P(a|ART)=.36 P(birds|N)= .076 P(birds|V)= 0 P(birds|P)= 0 P(birds|ART)=0 P(the|N)= 0 P(the|V)= 0 P(the|P)= 0 P(the|ART)= .54 0 x 0 0.00725 x 0.43 0 x 0 0.2556 x 0 0.0001 NULL ø a/V 0 a/N 0.00725 a/P 0 a/ART 0.2556 bird/ V bird/ N bird/ P bird/ ART flies/ V flies/ N flies/ P flies/ ART

11. Pi P(N|ø)= .29 P(P|ø)= 0 P(V|ø)= 0 P(ART|ø)= .71 P(N|N)= .13 P(N|V)= .35 P(N|P)= .26 P(N|ART)= 1 P(V|N)= .43 P(V|V)= 0 P(V|P)= 0 P(V|ART)= 0 P(ART|N)= 0 P(ART|V)= .65 P(ART|P)= .74 P(ART|ART)=0 P(P|N)= .44 P(P|V)= 0 P(P|P)= 0 P(P|ART)= 0 A(BigramProbabilities) Score(bird/V)= max[score(a/V) x P(V|V), score(a/N) x P(V|N), score(a/P) x P(V|P), score(a/ART) x P(V|ART)] x P(bird|V) B(LexicalGenerationProbabilities) P(flies|N)= .025 P(flies|V)= .076 P(flies|P)= 0 P(flies|ART)=0 P(like|N)= .012 P(like|V)= .1 P(like|P)= .068 P(like|ART)=0 P(a|N)= .001 P(a|V)= 0 P(a|P)= 0 P(a|ART)=.36 P(birds|N)= .076 P(birds|V)= 0 P(birds|P)= 0 P(birds|ART)=0 P(the|N)= 0 P(the|V)= 0 P(the|P)= 0 P(the|ART)= .54 0 x 0 0.00725 x 0.43 0 x 0 0.2556 x 0 0.0001 NULL ø a/V 0 a/N 0.00725 a/P 0 a/ART 0.2556 bird/ V bird/ N bird/ P bird/ ART flies/ V flies/ N flies/ P flies/ ART

12. Pi P(N|ø)= .29 P(P|ø)= 0 P(V|ø)= 0 P(ART|ø)= .71 P(N|N)= .13 P(N|V)= .35 P(N|P)= .26 P(N|ART)= 1 P(V|N)= .43 P(V|V)= 0 P(V|P)= 0 P(V|ART)= 0 P(ART|N)= 0 P(ART|V)= .65 P(ART|P)= .74 P(ART|ART)=0 P(P|N)= .44 P(P|V)= 0 P(P|P)= 0 P(P|ART)= 0 A(BigramProbabilities) NULL ø a/V 0 a/N 0.00725 a/P 0 a/ART 0.2556 bird/ N bird/ P bird/ ART flies/ V flies/ N flies/ P flies/ ART Score(bird/V)= max[score(a/V) x P(V|V), score(a/N) x P(V|N), score(a/P) x P(V|P), score(a/ART) x P(V|ART)] x P(bird|V) B(LexicalGenerationProbabilities) P(flies|N)= .025 P(flies|V)= .076 P(flies|P)= 0 P(flies|ART)=0 P(like|N)= .012 P(like|V)= .1 P(like|P)= .068 P(like|ART)=0 P(a|N)= .001 P(a|V)= 0 P(a|P)= 0 P(a|ART)=.36 P(birds|N)= .076 P(birds|V)= 0 P(birds|P)= 0 P(birds|ART)=0 P(the|N)= 0 P(the|V)= 0 P(the|P)= 0 P(the|ART)= .54 0 x 0 0.00725 x 0.43 0 x 0 0.2556 x 0 0.0001 = 0.00725 x 0.43 x 0.0001= 3.11e-7 bird/ V

13. Pi P(N|ø)= .29 P(P|ø)= 0 P(V|ø)= 0 P(ART|ø)= .71 P(N|N)= .13 P(N|V)= .35 P(N|P)= .26 P(N|ART)= 1 P(V|N)= .43 P(V|V)= 0 P(V|P)= 0 P(V|ART)= 0 P(ART|N)= 0 P(ART|V)= .65 P(ART|P)= .74 P(ART|ART)=0 P(P|N)= .44 P(P|V)= 0 P(P|P)= 0 P(P|ART)= 0 A(BigramProbabilities) NULL ø a/V 0 a/N 0.00725 a/P 0 a/ART 0.2556 bird/V 3.11e-7 bird/ N bird/ P bird/ ART flies/ V flies/ N flies/ P flies/ ART Score(bird/V)= max[score(a/V) x P(V|V), score(a/N) x P(V|N), score(a/P) x P(V|P), score(a/ART) x P(V|ART)] x P(bird|V) B(LexicalGenerationProbabilities) P(flies|N)= .025 P(flies|V)= .076 P(flies|P)= 0 P(flies|ART)=0 P(like|N)= .012 P(like|V)= .1 P(like|P)= .068 P(like|ART)=0 P(a|N)= .001 P(a|V)= 0 P(a|P)= 0 P(a|ART)=.36 P(birds|N)= .076 P(birds|V)= 0 P(birds|P)= 0 P(birds|ART)=0 P(the|N)= 0 P(the|V)= 0 P(the|P)= 0 P(the|ART)= .54 0 x 0 0.00725 x 0.43 0 x 0 0.2556 x 0 0.0001 = 0.00725 x 0.43 x 0.0001= 3.11e-7 N

14. Pi P(N|ø)= .29 P(P|ø)= 0 P(V|ø)= 0 P(ART|ø)= .71 P(N|N)= .13 P(N|V)= .35 P(N|P)= .26 P(N|ART)= 1 P(V|N)= .43 P(V|V)= 0 P(V|P)= 0 P(V|ART)= 0 P(ART|N)= 0 P(ART|V)= .65 P(ART|P)= .74 P(ART|ART)=0 P(P|N)= .44 P(P|V)= 0 P(P|P)= 0 P(P|ART)= 0 A(BigramProbabilities) NULL ø a/V 0 a/N 0.00725 a/P 0 a/ART 0.2556 bird/V 3.11e-7 bird/ N bird/ P bird/ ART flies/ V flies/ N flies/ P flies/ ART Score(bird/N)= max[score(a/V) x P(N|V), score(a/N) x P(N|N), score(a/P) x P(N|P), score(a/ART) x P(N|ART)] x P(bird|N) B(LexicalGenerationProbabilities) P(flies|N)= .025 P(flies|V)= .076 P(flies|P)= 0 P(flies|ART)=0 P(like|N)= .012 P(like|V)= .1 P(like|P)= .068 P(like|ART)=0 P(a|N)= .001 P(a|V)= 0 P(a|P)= 0 P(a|ART)=.36 P(birds|N)= .076 P(birds|V)= 0 P(birds|P)= 0 P(birds|ART)=0 P(the|N)= 0 P(the|V)= 0 P(the|P)= 0 P(the|ART)= .54 N

15. Score(bird/N)= max[score(a/V) x P(N|V), score(a/N) x P(N|N), score(a/P) x P(N|P), score(a/ART) x P(N|ART)] x P(bird|N) Pi P(N|ø)= .29 P(P|ø)= 0 P(V|ø)= 0 P(ART|ø)= .71 P(N|N)= .13 P(N|V)= .35 P(N|P)= .26 P(N|ART)= 1 P(V|N)= .43 P(V|V)= 0 P(V|P)= 0 P(V|ART)= 0 P(ART|N)= 0 P(ART|V)= .65 P(ART|P)= .74 P(ART|ART)=0 P(P|N)= .44 P(P|V)= 0 P(P|P)= 0 P(P|ART)= 0 A(BigramProbabilities) NULL ø a/V 0 a/N 0.00725 a/P 0 a/ART 0.2556 bird/ P bird/ ART flies/ V flies/ N flies/ P flies/ ART B(LexicalGenerationProbabilities) P(flies|N)= .025 P(flies|V)= .076 P(flies|P)= 0 P(flies|ART)=0 P(like|N)= .012 P(like|V)= .1 P(like|P)= .068 P(like|ART)=0 P(a|N)= .001 P(a|V)= 0 P(a|P)= 0 P(a|ART)=.36 P(birds|N)= .076 P(birds|V)= 0 P(birds|P)= 0 P(birds|ART)=0 P(the|N)= 0 P(the|V)= 0 P(the|P)= 0 P(the|ART)= .54 0 x 0.35 0.00725 x 0.13 0 x 0.26 0.2556 x 1 0.076 N bird/V 3.11e-7 bird/ N

16. Score(bird/N)= max[score(a/V) x P(N|V), score(a/N) x P(N|N), score(a/P) x P(N|P), score(a/ART) x P(N|ART)] x P(bird|N) Pi P(N|ø)= .29 P(P|ø)= 0 P(V|ø)= 0 P(ART|ø)= .71 P(N|N)= .13 P(N|V)= .35 P(N|P)= .26 P(N|ART)= 1 P(V|N)= .43 P(V|V)= 0 P(V|P)= 0 P(V|ART)= 0 P(ART|N)= 0 P(ART|V)= .65 P(ART|P)= .74 P(ART|ART)=0 P(P|N)= .44 P(P|V)= 0 P(P|P)= 0 P(P|ART)= 0 A(BigramProbabilities) NULL ø a/V 0 a/N 0.00725 a/P 0 a/ART 0.2556 bird/ P bird/ ART flies/ V flies/ N flies/ P flies/ ART B(LexicalGenerationProbabilities) P(flies|N)= .025 P(flies|V)= .076 P(flies|P)= 0 P(flies|ART)=0 P(like|N)= .012 P(like|V)= .1 P(like|P)= .068 P(like|ART)=0 P(a|N)= .001 P(a|V)= 0 P(a|P)= 0 P(a|ART)=.36 P(birds|N)= .076 P(birds|V)= 0 P(birds|P)= 0 P(birds|ART)=0 P(the|N)= 0 P(the|V)= 0 P(the|P)= 0 P(the|ART)= .54 N bird/V 3.11e-7 bird/ N 0 x 0.35 0.00725 x 0.13 0 x 0.26 0.2556 x 1 0.076

17. Score(bird/N)= max[score(a/V) x P(N|V), score(a/N) x P(N|N), score(a/P) x P(N|P), score(a/ART) x P(N|ART)] x P(bird|N) Pi P(N|ø)= .29 P(P|ø)= 0 P(V|ø)= 0 P(ART|ø)= .71 P(N|N)= .13 P(N|V)= .35 P(N|P)= .26 P(N|ART)= 1 P(V|N)= .43 P(V|V)= 0 P(V|P)= 0 P(V|ART)= 0 P(ART|N)= 0 P(ART|V)= .65 P(ART|P)= .74 P(ART|ART)=0 P(P|N)= .44 P(P|V)= 0 P(P|P)= 0 P(P|ART)= 0 A(BigramProbabilities) NULL ø a/V 0 a/N 0.00725 a/P 0 a/ART 0.2556 bird/ P bird/ ART flies/ V flies/ N flies/ P flies/ ART B(LexicalGenerationProbabilities) P(flies|N)= .025 P(flies|V)= .076 P(flies|P)= 0 P(flies|ART)=0 P(like|N)= .012 P(like|V)= .1 P(like|P)= .068 P(like|ART)=0 P(a|N)= .001 P(a|V)= 0 P(a|P)= 0 P(a|ART)=.36 P(birds|N)= .076 P(birds|V)= 0 P(birds|P)= 0 P(birds|ART)=0 P(the|N)= 0 P(the|V)= 0 P(the|P)= 0 P(the|ART)= .54 N bird/V 3.11e-7 bird/ N 0 x 0.35 0.00725 x 0.13 0 x 0.26 0.2556 x 1 0.076

18. Score(bird/N)= max[score(a/V) x P(N|V), score(a/N) x P(N|N), score(a/P) x P(N|P), score(a/ART) x P(N|ART)] x P(bird|N) Pi P(N|ø)= .29 P(P|ø)= 0 P(V|ø)= 0 P(ART|ø)= .71 P(N|N)= .13 P(N|V)= .35 P(N|P)= .26 P(N|ART)= 1 P(V|N)= .43 P(V|V)= 0 P(V|P)= 0 P(V|ART)= 0 P(ART|N)= 0 P(ART|V)= .65 P(ART|P)= .74 P(ART|ART)=0 P(P|N)= .44 P(P|V)= 0 P(P|P)= 0 P(P|ART)= 0 A(BigramProbabilities) NULL ø a/V 0 a/N 0.00725 a/P 0 a/ART 0.2556 bird/ P bird/ ART flies/ V flies/ N flies/ P flies/ ART B(LexicalGenerationProbabilities) P(flies|N)= .025 P(flies|V)= .076 P(flies|P)= 0 P(flies|ART)=0 P(like|N)= .012 P(like|V)= .1 P(like|P)= .068 P(like|ART)=0 P(a|N)= .001 P(a|V)= 0 P(a|P)= 0 P(a|ART)=.36 P(birds|N)= .076 P(birds|V)= 0 P(birds|P)= 0 P(birds|ART)=0 P(the|N)= 0 P(the|V)= 0 P(the|P)= 0 P(the|ART)= .54 N bird/V 3.11e-7 bird/ N 0 x 0.35 0.00725 x 0.13 0 x 0.26 0.2556 x 1 0.076 = 0.2556 x 0.076= 0.019

19. Score(bird/N)= max[score(a/V) x P(N|V), score(a/N) x P(N|N), score(a/P) x P(N|P), score(a/ART) x P(N|ART)] x P(bird|N) Pi P(N|ø)= .29 P(P|ø)= 0 P(V|ø)= 0 P(ART|ø)= .71 P(N|N)= .13 P(N|V)= .35 P(N|P)= .26 P(N|ART)= 1 P(V|N)= .43 P(V|V)= 0 P(V|P)= 0 P(V|ART)= 0 P(ART|N)= 0 P(ART|V)= .65 P(ART|P)= .74 P(ART|ART)=0 P(P|N)= .44 P(P|V)= 0 P(P|P)= 0 P(P|ART)= 0 A(BigramProbabilities) NULL ø a/V 0 a/N 0.00725 a/P 0 a/ART 0.2556 bird/P bird/ ART flies/V flies/N flies/P flies/ ART B(LexicalGenerationProbabilities) P(flies|N)= .025 P(flies|V)= .076 P(flies|P)= 0 P(flies|ART)=0 P(like|N)= .012 P(like|V)= .1 P(like|P)= .068 P(like|ART)=0 P(a|N)= .001 P(a|V)= 0 P(a|P)= 0 P(a|ART)=.36 P(birds|N)= .076 P(birds|V)= 0 P(birds|P)= 0 P(birds|ART)=0 P(the|N)= 0 P(the|V)= 0 P(the|P)= 0 P(the|ART)= .54 N bird/V 3.11e-7 bird/N 0.019 0 x 0.35 0.00725 x 0.13 0 x 0.26 0.2556 x 1 0.076 = 0.2556 x 0.076= 0.019 ART

20. Score(bird/N)= max[score(a/V) x P(N|V), score(a/N) x P(N|N), score(a/P) x P(N|P), score(a/ART) x P(N|ART)] x P(bird|N) Pi P(N|ø)= .29 P(P|ø)= 0 P(V|ø)= 0 P(ART|ø)= .71 P(N|N)= .13 P(N|V)= .35 P(N|P)= .26 P(N|ART)= 1 P(V|N)= .43 P(V|V)= 0 P(V|P)= 0 P(V|ART)= 0 P(ART|N)= 0 P(ART|V)= .65 P(ART|P)= .74 P(ART|ART)=0 P(P|N)= .44 P(P|V)= 0 P(P|P)= 0 P(P|ART)= 0 A(BigramProbabilities) NULL ø a/V 0 a/N 0.00725 a/P 0 a/ART 0.2556 bird/P bird/ ART flies/V flies/N flies/P flies/ ART B(LexicalGenerationProbabilities) P(flies|N)= .025 P(flies|V)= .076 P(flies|P)= 0 P(flies|ART)=0 P(like|N)= .012 P(like|V)= .1 P(like|P)= .068 P(like|ART)=0 P(a|N)= .001 P(a|V)= 0 P(a|P)= 0 P(a|ART)=.36 P(birds|N)= .076 P(birds|V)= 0 P(birds|P)= 0 P(birds|ART)=0 P(the|N)= 0 P(the|V)= 0 P(the|P)= 0 P(the|ART)= .54 N bird/V 3.11e-7 bird/N 0.019 0 x 0.35 0.00725 x 0.13 0 x 0.26 0.2556 x 1 0.076 = 0.2556 x 0.076= 0.019 ART

21. Score(bird/P)= max[score(a/V) x P(P|V), score(a/N) x P(P|N), score(a/P) x P(P|P), score(a/ART) x P(P|ART)] x P(bird|P) Pi P(N|ø)= .29 P(P|ø)= 0 P(V|ø)= 0 P(ART|ø)= .71 P(N|N)= .13 P(N|V)= .35 P(N|P)= .26 P(N|ART)= 1 P(V|N)= .43 P(V|V)= 0 P(V|P)= 0 P(V|ART)= 0 P(ART|N)= 0 P(ART|V)= .65 P(ART|P)= .74 P(ART|ART)=0 P(P|N)= .44 P(P|V)= 0 P(P|P)= 0 P(P|ART)= 0 A(BigramProbabilities) NULL ø a/V 0 a/N 0.00725 a/P 0 a/ART 0.2556 bird/P 3.19e-7 bird/ ART flies/V flies/N flies/P flies/ ART B(LexicalGenerationProbabilities) P(flies|N)= .025 P(flies|V)= .076 P(flies|P)= 0 P(flies|ART)=0 P(like|N)= .012 P(like|V)= .1 P(like|P)= .068 P(like|ART)=0 P(a|N)= .001 P(a|V)= 0 P(a|P)= 0 P(a|ART)=.36 P(birds|N)= .076 P(birds|V)= 0 P(birds|P)= 0 P(birds|ART)=0 P(the|N)= 0 P(the|V)= 0 P(the|P)= 0 P(the|ART)= .54 N bird/V 3.11e-7 bird/N 0.019 0 x 0 0.00725 x 0.44 0 x 0 0.2556 x 0 0.0001 = 0.00725 x 0.44 x 0.0001= 3.19e-7 ART N

22. Score(bird/P)= max[score(a/V) x P(P|V), score(a/N) x P(P|N), score(a/P) x P(P|P), score(a/ART) x P(P|ART)] x P(bird|P) Pi P(N|ø)= .29 P(P|ø)= 0 P(V|ø)= 0 P(ART|ø)= .71 P(N|N)= .13 P(N|V)= .35 P(N|P)= .26 P(N|ART)= 1 P(V|N)= .43 P(V|V)= 0 P(V|P)= 0 P(V|ART)= 0 P(ART|N)= 0 P(ART|V)= .65 P(ART|P)= .74 P(ART|ART)=0 P(P|N)= .44 P(P|V)= 0 P(P|P)= 0 P(P|ART)= 0 A(BigramProbabilities) NULL ø a/V 0 a/N 0.00725 a/P 0 a/ART 0.2556 bird/P 3.19e-7 bird/ ART flies/V flies/N flies/P flies/ ART B(LexicalGenerationProbabilities) P(flies|N)= .025 P(flies|V)= .076 P(flies|P)= 0 P(flies|ART)=0 P(like|N)= .012 P(like|V)= .1 P(like|P)= .068 P(like|ART)=0 P(a|N)= .001 P(a|V)= 0 P(a|P)= 0 P(a|ART)=.36 P(birds|N)= .076 P(birds|V)= 0 P(birds|P)= 0 P(birds|ART)=0 P(the|N)= 0 P(the|V)= 0 P(the|P)= 0 P(the|ART)= .54 N bird/V 3.11e-7 bird/N 0.019 0 x 0 0.00725 x 0.44 0 x 0 0.2556 x 0 0.0001 = 0.00725 x 0.44 x 0.0001= 3.19e-7 ART N

23. Score(bird/ART)= max[score(a/V) x P(ART|V), score(a/N) x P(ART|N), score(a/P) x P(ART|P), score(a/ART) x P(ART|ART)] x P(bird| ART) Pi P(N|ø)= .29 P(P|ø)= 0 P(V|ø)= 0 P(ART|ø)= .71 P(N|N)= .13 P(N|V)= .35 P(N|P)= .26 P(N|ART)= 1 P(V|N)= .43 P(V|V)= 0 P(V|P)= 0 P(V|ART)= 0 P(ART|N)= 0 P(ART|V)= .65 P(ART|P)= .74 P(ART|ART)=0 P(P|N)= .44 P(P|V)= 0 P(P|P)= 0 P(P|ART)= 0 A(BigramProbabilities) NULL ø a/V 0 a/N 0.00725 a/P 0 a/ART 0.2556 bird/P 3.19e-7 bird/ART 0 flies/V flies/N flies/P flies/ ART B(LexicalGenerationProbabilities) P(flies|N)= .025 P(flies|V)= .076 P(flies|P)= 0 P(flies|ART)=0 P(like|N)= .012 P(like|V)= .1 P(like|P)= .068 P(like|ART)=0 P(a|N)= .001 P(a|V)= 0 P(a|P)= 0 P(a|ART)=.36 P(birds|N)= .076 P(birds|V)= 0 P(birds|P)= 0 P(birds|ART)=0 P(the|N)= 0 P(the|V)= 0 P(the|P)= 0 P(the|ART)= .54 N bird/V 3.11e-7 bird/N 0.019 0 x 0.65 0 x 0.74 0.2556 x 0 0.0001 = 0 x 0.0001= 0 ART N 0.00725 x 0

24. Score(bird/ART)= max[score(a/V) x P(ART|V), score(a/N) x P(ART|N), score(a/P) x P(ART|P), score(a/ART) x P(ART|ART)] x P(bird| ART) Pi P(N|ø)= .29 P(P|ø)= 0 P(V|ø)= 0 P(ART|ø)= .71 P(N|N)= .13 P(N|V)= .35 P(N|P)= .26 P(N|ART)= 1 P(V|N)= .43 P(V|V)= 0 P(V|P)= 0 P(V|ART)= 0 P(ART|N)= 0 P(ART|V)= .65 P(ART|P)= .74 P(ART|ART)=0 P(P|N)= .44 P(P|V)= 0 P(P|P)= 0 P(P|ART)= 0 A(BigramProbabilities) NULL ø a/V 0 a/N 0.00725 a/P 0 a/ART 0.2556 bird/P 3.19e-7 bird/ART 0 flies/V flies/N flies/P flies/ ART B(LexicalGenerationProbabilities) P(flies|N)= .025 P(flies|V)= .076 P(flies|P)= 0 P(flies|ART)=0 P(like|N)= .012 P(like|V)= .1 P(like|P)= .068 P(like|ART)=0 P(a|N)= .001 P(a|V)= 0 P(a|P)= 0 P(a|ART)=.36 P(birds|N)= .076 P(birds|V)= 0 P(birds|P)= 0 P(birds|ART)=0 P(the|N)= 0 P(the|V)= 0 P(the|P)= 0 P(the|ART)= .54 N bird/V 3.11e-7 bird/N 0.019 0 x 0.65 0 x 0.74 0.2556 x 0 0.0001 = 0 x 0.0001= 0 ART N 0.00725 x 0

25. Score(flies/V)= max[score(bird/V) x P(V|V), score(bird /N) x P(V|N), score(bird /P) x P(V|P), score(bird /ART) x P(V|ART)] x P(flies|V) Pi P(N|ø)= .29 P(P|ø)= 0 P(V|ø)= 0 P(ART|ø)= .71 P(N|N)= .13 P(N|V)= .35 P(N|P)= .26 P(N|ART)= 1 P(V|N)= .43 P(V|V)= 0 P(V|P)= 0 P(V|ART)= 0 P(ART|N)= 0 P(ART|V)= .65 P(ART|P)= .74 P(ART|ART)=0 P(P|N)= .44 P(P|V)= 0 P(P|P)= 0 P(P|ART)= 0 A(BigramProbabilities) NULL ø a/V 0 a/N 0.00725 a/P 0 a/ART 0.2556 bird/P 3.19e-7 bird/ART 0 flies/V 0.00062 flies/N flies/P flies/ ART B(LexicalGenerationProbabilities) P(flies|N)= .025 P(flies|V)= .076 P(flies|P)= 0 P(flies|ART)=0 P(like|N)= .012 P(like|V)= .1 P(like|P)= .068 P(like|ART)=0 P(a|N)= .001 P(a|V)= 0 P(a|P)= 0 P(a|ART)=.36 P(birds|N)= .076 P(birds|V)= 0 P(birds|P)= 0 P(birds|ART)=0 P(the|N)= 0 P(the|V)= 0 P(the|P)= 0 P(the|ART)= .54 N bird/V 3.11e-7 bird/N 0.019 3.11e-7 x 0 3.19e-7 x 0 0 x 0 0.076 = 0.019 x 0.43 x 0.076 = 0.00062 ART N 0.019 x 0.43 N

26. Score(flies/V)= max[score(bird/V) x P(V|V), score(bird /N) x P(V|N), score(bird /P) x P(V|P), score(bird /ART) x P(V|ART)] x P(flies|V) Pi P(N|ø)= .29 P(P|ø)= 0 P(V|ø)= 0 P(ART|ø)= .71 P(N|N)= .13 P(N|V)= .35 P(N|P)= .26 P(N|ART)= 1 P(V|N)= .43 P(V|V)= 0 P(V|P)= 0 P(V|ART)= 0 P(ART|N)= 0 P(ART|V)= .65 P(ART|P)= .74 P(ART|ART)=0 P(P|N)= .44 P(P|V)= 0 P(P|P)= 0 P(P|ART)= 0 A(BigramProbabilities) NULL ø a/V 0 a/N 0.00725 a/P 0 a/ART 0.2556 bird/P 3.19e-7 bird/ART 0 flies/V 0.00062 flies/N flies/P flies/ ART B(LexicalGenerationProbabilities) P(flies|N)= .025 P(flies|V)= .076 P(flies|P)= 0 P(flies|ART)=0 P(like|N)= .012 P(like|V)= .1 P(like|P)= .068 P(like|ART)=0 P(a|N)= .001 P(a|V)= 0 P(a|P)= 0 P(a|ART)=.36 P(birds|N)= .076 P(birds|V)= 0 P(birds|P)= 0 P(birds|ART)=0 P(the|N)= 0 P(the|V)= 0 P(the|P)= 0 P(the|ART)= .54 N bird/V 3.11e-7 bird/N 0.019 3.11e-7 x 0 3.19e-7 x 0 0 x 0 0.076 = 0.019 x 0.43 x 0.076 = 0.00062 ART N 0.019 x 0.43 N

27. Score(flies/N)= max[score(bird/V) x P(N|V), score(bird /N) x P(N|N), score(bird /P) x P(N|P), score(bird /ART) x P(N|ART)] x P(flies|N) Pi P(N|ø)= .29 P(P|ø)= 0 P(V|ø)= 0 P(ART|ø)= .71 P(N|N)= .13 P(N|V)= .35 P(N|P)= .26 P(N|ART)= 1 P(V|N)= .43 P(V|V)= 0 P(V|P)= 0 P(V|ART)= 0 P(ART|N)= 0 P(ART|V)= .65 P(ART|P)= .74 P(ART|ART)=0 P(P|N)= .44 P(P|V)= 0 P(P|P)= 0 P(P|ART)= 0 A(BigramProbabilities) NULL ø a/V 0 a/N 0.00725 a/P 0 a/ART 0.2556 bird/P 3.19e-7 bird/ART 0 flies/V 0.00062 flies/N 0.000061 flies/P flies/ ART B(LexicalGenerationProbabilities) P(flies|N)= .025 P(flies|V)= .076 P(flies|P)= 0 P(flies|ART)=0 P(like|N)= .012 P(like|V)= .1 P(like|P)= .068 P(like|ART)=0 P(a|N)= .001 P(a|V)= 0 P(a|P)= 0 P(a|ART)=.36 P(birds|N)= .076 P(birds|V)= 0 P(birds|P)= 0 P(birds|ART)=0 P(the|N)= 0 P(the|V)= 0 P(the|P)= 0 P(the|ART)= .54 N bird/V 3.11e-7 bird/N 0.019 3.11e-7 x 0.35 3.19e-7 x 0.26 0 x 1 0.025 = 0.019 x 0.13 x 0.025 = 0.000061 ART N 0.019 x 0.13 N N

28. Score(flies/P)= max[score(bird/V) x P(P|V), score(bird /N) x P(P|N), score(bird /P) x P(P|P), score(bird /ART) x P(P|ART)] x P(flies|P) Pi P(N|ø)= .29 P(P|ø)= 0 P(V|ø)= 0 P(ART|ø)= .71 P(N|N)= .13 P(N|V)= .35 P(N|P)= .26 P(N|ART)= 1 P(V|N)= .43 P(V|V)= 0 P(V|P)= 0 P(V|ART)= 0 P(ART|N)= 0 P(ART|V)= .65 P(ART|P)= .74 P(ART|ART)=0 P(P|N)= .44 P(P|V)= 0 P(P|P)= 0 P(P|ART)= 0 A(BigramProbabilities) NULL ø a/V 0 a/N 0.00725 a/P 0 a/ART 0.2556 bird/P 3.19e-7 bird/ART 0 flies/V 0.00062 flies/N 0.000061 flies/P flies/ ART B(LexicalGenerationProbabilities) P(flies|N)= .025 P(flies|V)= .076 P(flies|P)= 0 P(flies|ART)=0 P(like|N)= .012 P(like|V)= .1 P(like|P)= .068 P(like|ART)=0 P(a|N)= .001 P(a|V)= 0 P(a|P)= 0 P(a|ART)=.36 P(birds|N)= .076 P(birds|V)= 0 P(birds|P)= 0 P(birds|ART)=0 P(the|N)= 0 P(the|V)= 0 P(the|P)= 0 P(the|ART)= .54 N bird/V 3.11e-7 bird/N 0.019 3.11e-7 x 0 3.19e-7 x 0 0 x 0 0.0001 = 0.019 x 0.44 x 0.0001 = 8.36e-7 ART N 0.019 x 0.44 N N N

29. Score(flies/P)= max[score(bird/V) x P(P|V), score(bird /N) x P(P|N), score(bird /P) x P(P|P), score(bird /ART) x P(P|ART)] x P(flies|P) Pi P(N|ø)= .29 P(P|ø)= 0 P(V|ø)= 0 P(ART|ø)= .71 P(N|N)= .13 P(N|V)= .35 P(N|P)= .26 P(N|ART)= 1 P(V|N)= .43 P(V|V)= 0 P(V|P)= 0 P(V|ART)= 0 P(ART|N)= 0 P(ART|V)= .65 P(ART|P)= .74 P(ART|ART)=0 P(P|N)= .44 P(P|V)= 0 P(P|P)= 0 P(P|ART)= 0 A(BigramProbabilities) NULL ø a/V 0 a/N 0.00725 a/P 0 a/ART 0.2556 bird/P 3.19e-7 bird/ART 0 flies/V 0.00062 flies/N 0.000061 flies/P 8.36e-7 flies/ ART B(LexicalGenerationProbabilities) P(flies|N)= .025 P(flies|V)= .076 P(flies|P)= 0 P(flies|ART)=0 P(like|N)= .012 P(like|V)= .1 P(like|P)= .068 P(like|ART)=0 P(a|N)= .001 P(a|V)= 0 P(a|P)= 0 P(a|ART)=.36 P(birds|N)= .076 P(birds|V)= 0 P(birds|P)= 0 P(birds|ART)=0 P(the|N)= 0 P(the|V)= 0 P(the|P)= 0 P(the|ART)= .54 N bird/V 3.11e-7 bird/N 0.019 3.11e-7 x 0 3.19e-7 x 0 0 x 0 0.0001 = 0.019 x 0.44 x 0.0001 = 8.36e-7 ART N 0.019 x 0.44 N N N

30. Score(flies/P)= max[score(bird/V) x P(P|V), score(bird /N) x P(P|N), score(bird /P) x P(P|P), score(bird /ART) x P(P|ART)] x P(flies|P) Pi P(N|ø)= .29 P(P|ø)= 0 P(V|ø)= 0 P(ART|ø)= .71 P(N|N)= .13 P(N|V)= .35 P(N|P)= .26 P(N|ART)= 1 P(V|N)= .43 P(V|V)= 0 P(V|P)= 0 P(V|ART)= 0 P(ART|N)= 0 P(ART|V)= .65 P(ART|P)= .74 P(ART|ART)=0 P(P|N)= .44 P(P|V)= 0 P(P|P)= 0 P(P|ART)= 0 A(BigramProbabilities) NULL ø a/V 0 a/N 0.00725 a/P 0 a/ART 0.2556 bird/P 3.19e-7 bird/ART 0 flies/V 0.00062 flies/N 0.000061 flies/P 8.36e-7 flies/ ART B(LexicalGenerationProbabilities) P(flies|N)= .025 P(flies|V)= .076 P(flies|P)= 0 P(flies|ART)=0 P(like|N)= .012 P(like|V)= .1 P(like|P)= .068 P(like|ART)=0 P(a|N)= .001 P(a|V)= 0 P(a|P)= 0 P(a|ART)=.36 P(birds|N)= .076 P(birds|V)= 0 P(birds|P)= 0 P(birds|ART)=0 P(the|N)= 0 P(the|V)= 0 P(the|P)= 0 P(the|ART)= .54 N bird/V 3.11e-7 bird/N 0.019 3.11e-7 x 0 3.19e-7 x 0 0 x 0 0.0001 = 0.019 x 0.44 x 0.0001 = 8.36e-7 ART N 0.019 x 0.44 N N N

31. Score(flies/ART)= max[score(bird/V) x P(ART|V), score(bird /N) x P(ART|N), score(bird /P) x P(ART|P), score(bird /ART) x P(ART|ART)] x P(flies|ART) Pi P(N|ø)= .29 P(P|ø)= 0 P(V|ø)= 0 P(ART|ø)= .71 P(N|N)= .13 P(N|V)= .35 P(N|P)= .26 P(N|ART)= 1 P(V|N)= .43 P(V|V)= 0 P(V|P)= 0 P(V|ART)= 0 P(ART|N)= 0 P(ART|V)= .65 P(ART|P)= .74 P(ART|ART)=0 P(P|N)= .44 P(P|V)= 0 P(P|P)= 0 P(P|ART)= 0 A(BigramProbabilities) NULL ø a/V 0 a/N 0.00725 a/P 0 a/ART 0.2556 bird/P 3.19e-7 bird/ART 0 flies/V 0.00062 flies/N 0.000061 flies/P 8.36e-7 flies/ ART B(LexicalGenerationProbabilities) P(flies|N)= .025 P(flies|V)= .076 P(flies|P)= 0 P(flies|ART)=0 P(like|N)= .012 P(like|V)= .1 P(like|P)= .068 P(like|ART)=0 P(a|N)= .001 P(a|V)= 0 P(a|P)= 0 P(a|ART)=.36 P(birds|N)= .076 P(birds|V)= 0 P(birds|P)= 0 P(birds|ART)=0 P(the|N)= 0 P(the|V)= 0 P(the|P)= 0 P(the|ART)= .54 N bird/V 3.11e-7 bird/N 0.019 3.11e-7 x 0.65 3.19e-7 x 0.74 0 x 0 0.0001 = 3.19e-7 x 0.74 x 0.0001 = 2.36e-11 ART N 0.019 x 0 N N N

32. Score(flies/ART)= max[score(bird/V) x P(ART|V), score(bird /N) x P(ART|N), score(bird /P) x P(ART|P), score(bird /ART) x P(ART|ART)] x P(flies|ART) Pi P(N|ø)= .29 P(P|ø)= 0 P(V|ø)= 0 P(ART|ø)= .71 P(N|N)= .13 P(N|V)= .35 P(N|P)= .26 P(N|ART)= 1 P(V|N)= .43 P(V|V)= 0 P(V|P)= 0 P(V|ART)= 0 P(ART|N)= 0 P(ART|V)= .65 P(ART|P)= .74 P(ART|ART)=0 P(P|N)= .44 P(P|V)= 0 P(P|P)= 0 P(P|ART)= 0 A(BigramProbabilities) NULL ø a/V 0 a/N 0.00725 a/P 0 a/ART 0.2556 bird/P 3.19e-7 bird/ART 0 flies/V 0.00062 flies/N 0.000061 flies/P 8.36e-7 flies/ART 2.36e-11 B(LexicalGenerationProbabilities) P(flies|N)= .025 P(flies|V)= .076 P(flies|P)= 0 P(flies|ART)=0 P(like|N)= .012 P(like|V)= .1 P(like|P)= .068 P(like|ART)=0 P(a|N)= .001 P(a|V)= 0 P(a|P)= 0 P(a|ART)=.36 P(birds|N)= .076 P(birds|V)= 0 P(birds|P)= 0 P(birds|ART)=0 P(the|N)= 0 P(the|V)= 0 P(the|P)= 0 P(the|ART)= .54 N bird/V 3.11e-7 bird/N 0.019 3.11e-7 x 0.65 3.19e-7 x 0.74 0 x 0 0.0001 = 3.19e-7 x 0.74 x 0.0001 = 2.36e-11 ART N 0.019 x 0 N N N P

33. Score(flies/ART)= max[score(bird/V) x P(ART|V), score(bird /N) x P(ART|N), score(bird /P) x P(ART|P), score(bird /ART) x P(ART|ART)] x P(flies|ART) Pi P(N|ø)= .29 P(P|ø)= 0 P(V|ø)= 0 P(ART|ø)= .71 P(N|N)= .13 P(N|V)= .35 P(N|P)= .26 P(N|ART)= 1 P(V|N)= .43 P(V|V)= 0 P(V|P)= 0 P(V|ART)= 0 P(ART|N)= 0 P(ART|V)= .65 P(ART|P)= .74 P(ART|ART)=0 P(P|N)= .44 P(P|V)= 0 P(P|P)= 0 P(P|ART)= 0 A(BigramProbabilities) NULL ø a/V 0 a/N 0.00725 a/P 0 a/ART 0.2556 bird/P 3.19e-7 bird/ART 0 flies/V 0.00062 flies/N 0.000061 flies/P 8.36e-7 flies/ART 2.36e-11 B(LexicalGenerationProbabilities) P(flies|N)= .025 P(flies|V)= .076 P(flies|P)= 0 P(flies|ART)=0 P(like|N)= .012 P(like|V)= .1 P(like|P)= .068 P(like|ART)=0 P(a|N)= .001 P(a|V)= 0 P(a|P)= 0 P(a|ART)=.36 P(birds|N)= .076 P(birds|V)= 0 P(birds|P)= 0 P(birds|ART)=0 P(the|N)= 0 P(the|V)= 0 P(the|P)= 0 P(the|ART)= .54 N bird/V 3.11e-7 bird/N 0.019 3.11e-7 x 0.65 3.19e-7 x 0.74 0 x 0 0.0001 = 3.19e-7 x 0.74 x 0.0001 = 2.36e-11 ART N 0.019 x 0 N N N P

34. Pi P(N|ø)= .29 P(P|ø)= 0 P(V|ø)= 0 P(ART|ø)= .71 P(N|N)= .13 P(N|V)= .35 P(N|P)= .26 P(N|ART)= 1 P(V|N)= .43 P(V|V)= 0 P(V|P)= 0 P(V|ART)= 0 P(ART|N)= 0 P(ART|V)= .65 P(ART|P)= .74 P(ART|ART)=0 P(P|N)= .44 P(P|V)= 0 P(P|P)= 0 P(P|ART)= 0 A(BigramProbabilities) NULL ø a/V 0 a/N 0.00725 a/P 0 a/ART 0.2556 bird/P 3.19e-7 bird/ART 0 flies/V 0.00062 flies/N 0.000061 flies/P 8.36e-7 flies/ART 2.36e-11 B(LexicalGenerationProbabilities) P(flies|N)= .025 P(flies|V)= .076 P(flies|P)= 0 P(flies|ART)=0 P(like|N)= .012 P(like|V)= .1 P(like|P)= .068 P(like|ART)=0 P(a|N)= .001 P(a|V)= 0 P(a|P)= 0 P(a|ART)=.36 P(birds|N)= .076 P(birds|V)= 0 P(birds|P)= 0 P(birds|ART)=0 P(the|N)= 0 P(the|V)= 0 P(the|P)= 0 P(the|ART)= .54 N bird/V 3.11e-7 bird/N 0.019 ART N N N N P Max of Last Layer

35. Pi P(N|ø)= .29 P(P|ø)= 0 P(V|ø)= 0 P(ART|ø)= .71 P(N|N)= .13 P(N|V)= .35 P(N|P)= .26 P(N|ART)= 1 P(V|N)= .43 P(V|V)= 0 P(V|P)= 0 P(V|ART)= 0 P(ART|N)= 0 P(ART|V)= .65 P(ART|P)= .74 P(ART|ART)=0 P(P|N)= .44 P(P|V)= 0 P(P|P)= 0 P(P|ART)= 0 A(BigramProbabilities) NULL ø a/V 0 a/N 0.00725 a/P 0 a/ART 0.2556 bird/P 3.19e-7 bird/ART 0 flies/V 0.00062 flies/N 0.000061 flies/P 8.36e-7 flies/ART 2.36e-11 B(LexicalGenerationProbabilities) P(flies|N)= .025 P(flies|V)= .076 P(flies|P)= 0 P(flies|ART)=0 P(like|N)= .012 P(like|V)= .1 P(like|P)= .068 P(like|ART)=0 P(a|N)= .001 P(a|V)= 0 P(a|P)= 0 P(a|ART)=.36 P(birds|N)= .076 P(birds|V)= 0 P(birds|P)= 0 P(birds|ART)=0 P(the|N)= 0 P(the|V)= 0 P(the|P)= 0 P(the|ART)= .54 N bird/V 3.11e-7 bird/N 0.019 ART N N N N P Max of Last Layer

36. Pi P(N|ø)= .29 P(P|ø)= 0 P(V|ø)= 0 P(ART|ø)= .71 P(N|N)= .13 P(N|V)= .35 P(N|P)= .26 P(N|ART)= 1 P(V|N)= .43 P(V|V)= 0 P(V|P)= 0 P(V|ART)= 0 P(ART|N)= 0 P(ART|V)= .65 P(ART|P)= .74 P(ART|ART)=0 P(P|N)= .44 P(P|V)= 0 P(P|P)= 0 P(P|ART)= 0 A(BigramProbabilities) NULL ø a/V 0 a/N 0.00725 a/P 0 a/ART 0.2556 bird/P 3.19e-7 bird/ART 0 flies/V 0.00062 flies/N 0.000061 flies/P 8.36e-7 flies/ART 2.36e-11 B(LexicalGenerationProbabilities) P(flies|N)= .025 P(flies|V)= .076 P(flies|P)= 0 P(flies|ART)=0 P(like|N)= .012 P(like|V)= .1 P(like|P)= .068 P(like|ART)=0 P(a|N)= .001 P(a|V)= 0 P(a|P)= 0 P(a|ART)=.36 P(birds|N)= .076 P(birds|V)= 0 P(birds|P)= 0 P(birds|ART)=0 P(the|N)= 0 P(the|V)= 0 P(the|P)= 0 P(the|ART)= .54 N bird/V 3.11e-7 bird/N 0.019 ART N N N N P So the POS TAG of “flies” is Verb

37. Pi P(N|ø)= .29 P(P|ø)= 0 P(V|ø)= 0 P(ART|ø)= .71 P(N|N)= .13 P(N|V)= .35 P(N|P)= .26 P(N|ART)= 1 P(V|N)= .43 P(V|V)= 0 P(V|P)= 0 P(V|ART)= 0 P(ART|N)= 0 P(ART|V)= .65 P(ART|P)= .74 P(ART|ART)=0 P(P|N)= .44 P(P|V)= 0 P(P|P)= 0 P(P|ART)= 0 A(BigramProbabilities) NULL ø a/V 0 a/N 0.00725 a/P 0 a/ART 0.2556 bird/P 3.19e-7 bird/ART 0 flies/V 0.00062 flies/N 0.000061 flies/P 8.36e-7 flies/ART 2.36e-11 B(LexicalGenerationProbabilities) P(flies|N)= .025 P(flies|V)= .076 P(flies|P)= 0 P(flies|ART)=0 P(like|N)= .012 P(like|V)= .1 P(like|P)= .068 P(like|ART)=0 P(a|N)= .001 P(a|V)= 0 P(a|P)= 0 P(a|ART)=.36 P(birds|N)= .076 P(birds|V)= 0 P(birds|P)= 0 P(birds|ART)=0 P(the|N)= 0 P(the|V)= 0 P(the|P)= 0 P(the|ART)= .54 N bird/V 3.11e-7 bird/N 0.019 ART N N N N P Label is N so go to N of layer 2

38. Pi P(N|ø)= .29 P(P|ø)= 0 P(V|ø)= 0 P(ART|ø)= .71 P(N|N)= .13 P(N|V)= .35 P(N|P)= .26 P(N|ART)= 1 P(V|N)= .43 P(V|V)= 0 P(V|P)= 0 P(V|ART)= 0 P(ART|N)= 0 P(ART|V)= .65 P(ART|P)= .74 P(ART|ART)=0 P(P|N)= .44 P(P|V)= 0 P(P|P)= 0 P(P|ART)= 0 A(BigramProbabilities) NULL ø a/V 0 a/N 0.00725 a/P 0 a/ART 0.2556 bird/P 3.19e-7 bird/ART 0 flies/V 0.00062 flies/N 0.000061 flies/P 8.36e-7 flies/ART 2.36e-11 B(LexicalGenerationProbabilities) P(flies|N)= .025 P(flies|V)= .076 P(flies|P)= 0 P(flies|ART)=0 P(like|N)= .012 P(like|V)= .1 P(like|P)= .068 P(like|ART)=0 P(a|N)= .001 P(a|V)= 0 P(a|P)= 0 P(a|ART)=.36 P(birds|N)= .076 P(birds|V)= 0 P(birds|P)= 0 P(birds|ART)=0 P(the|N)= 0 P(the|V)= 0 P(the|P)= 0 P(the|ART)= .54 N bird/V 3.11e-7 bird/N 0.019 ART N N N N P So bird is a Noun

39. Pi P(N|ø)= .29 P(P|ø)= 0 P(V|ø)= 0 P(ART|ø)= .71 P(N|N)= .13 P(N|V)= .35 P(N|P)= .26 P(N|ART)= 1 P(V|N)= .43 P(V|V)= 0 P(V|P)= 0 P(V|ART)= 0 P(ART|N)= 0 P(ART|V)= .65 P(ART|P)= .74 P(ART|ART)=0 P(P|N)= .44 P(P|V)= 0 P(P|P)= 0 P(P|ART)= 0 A(BigramProbabilities) NULL ø a/V 0 a/N 0.00725 a/P 0 a/ART 0.2556 bird/P 3.19e-7 bird/ART 0 flies/V 0.00062 flies/N 0.000061 flies/P 8.36e-7 flies/ART 2.36e-11 B(LexicalGenerationProbabilities) P(flies|N)= .025 P(flies|V)= .076 P(flies|P)= 0 P(flies|ART)=0 P(like|N)= .012 P(like|V)= .1 P(like|P)= .068 P(like|ART)=0 P(a|N)= .001 P(a|V)= 0 P(a|P)= 0 P(a|ART)=.36 P(birds|N)= .076 P(birds|V)= 0 P(birds|P)= 0 P(birds|ART)=0 P(the|N)= 0 P(the|V)= 0 P(the|P)= 0 P(the|ART)= .54 N bird/V 3.11e-7 bird/N 0.019 ART N N N N P What’s the label? ART

40. Pi P(N|ø)= .29 P(P|ø)= 0 P(V|ø)= 0 P(ART|ø)= .71 P(N|N)= .13 P(N|V)= .35 P(N|P)= .26 P(N|ART)= 1 P(V|N)= .43 P(V|V)= 0 P(V|P)= 0 P(V|ART)= 0 P(ART|N)= 0 P(ART|V)= .65 P(ART|P)= .74 P(ART|ART)=0 P(P|N)= .44 P(P|V)= 0 P(P|P)= 0 P(P|ART)= 0 A(BigramProbabilities) NULL ø a/V 0 a/N 0.00725 a/P 0 a/ART 0.2556 bird/P 3.19e-7 bird/ART 0 flies/V 0.00062 flies/N 0.000061 flies/P 8.36e-7 flies/ART 2.36e-11 B(LexicalGenerationProbabilities) P(flies|N)= .025 P(flies|V)= .076 P(flies|P)= 0 P(flies|ART)=0 P(like|N)= .012 P(like|V)= .1 P(like|P)= .068 P(like|ART)=0 P(a|N)= .001 P(a|V)= 0 P(a|P)= 0 P(a|ART)=.36 P(birds|N)= .076 P(birds|V)= 0 P(birds|P)= 0 P(birds|ART)=0 P(the|N)= 0 P(the|V)= 0 P(the|P)= 0 P(the|ART)= .54 N bird/V 3.11e-7 bird/N 0.019 ART N N N N P So go to ART of layer 1

41. Pi P(N|ø)= .29 P(P|ø)= 0 P(V|ø)= 0 P(ART|ø)= .71 P(N|N)= .13 P(N|V)= .35 P(N|P)= .26 P(N|ART)= 1 P(V|N)= .43 P(V|V)= 0 P(V|P)= 0 P(V|ART)= 0 P(ART|N)= 0 P(ART|V)= .65 P(ART|P)= .74 P(ART|ART)=0 P(P|N)= .44 P(P|V)= 0 P(P|P)= 0 P(P|ART)= 0 A(BigramProbabilities) NULL ø a/V 0 a/N 0.00725 a/P 0 a/ART 0.2556 bird/P 3.19e-7 bird/ART 0 flies/V 0.00062 flies/N 0.000061 flies/P 8.36e-7 flies/ART 2.36e-11 B(LexicalGenerationProbabilities) P(flies|N)= .025 P(flies|V)= .076 P(flies|P)= 0 P(flies|ART)=0 P(like|N)= .012 P(like|V)= .1 P(like|P)= .068 P(like|ART)=0 P(a|N)= .001 P(a|V)= 0 P(a|P)= 0 P(a|ART)=.36 P(birds|N)= .076 P(birds|V)= 0 P(birds|P)= 0 P(birds|ART)=0 P(the|N)= 0 P(the|V)= 0 P(the|P)= 0 P(the|ART)= .54 N bird/V 3.11e-7 bird/N 0.019 ART N N N N P So “a” is an ART

42. Pi P(N|ø)= .29 P(P|ø)= 0 P(V|ø)= 0 P(ART|ø)= .71 P(N|N)= .13 P(N|V)= .35 P(N|P)= .26 P(N|ART)= 1 P(V|N)= .43 P(V|V)= 0 P(V|P)= 0 P(V|ART)= 0 P(ART|N)= 0 P(ART|V)= .65 P(ART|P)= .74 P(ART|ART)=0 P(P|N)= .44 P(P|V)= 0 P(P|P)= 0 P(P|ART)= 0 A(BigramProbabilities) NULL ø a/V 0 a/N 0.00725 a/P 0 a/ART 0.2556 bird/P 3.19e-7 bird/ART 0 flies/V 0.00062 flies/N 0.000061 flies/P 8.36e-7 flies/ART 2.36e-11 B(LexicalGenerationProbabilities) P(flies|N)= .025 P(flies|V)= .076 P(flies|P)= 0 P(flies|ART)=0 P(like|N)= .012 P(like|V)= .1 P(like|P)= .068 P(like|ART)=0 P(a|N)= .001 P(a|V)= 0 P(a|P)= 0 P(a|ART)=.36 P(birds|N)= .076 P(birds|V)= 0 P(birds|P)= 0 P(birds|ART)=0 P(the|N)= 0 P(the|V)= 0 P(the|P)= 0 P(the|ART)= .54 N bird/V 3.11e-7 bird/N 0.019 ART N N N N P What’s the label? It’s the beginning of the sentence.

43. Pi P(N|ø)= .29 P(P|ø)= 0 P(V|ø)= 0 P(ART|ø)= .71 P(N|N)= .13 P(N|V)= .35 P(N|P)= .26 P(N|ART)= 1 P(V|N)= .43 P(V|V)= 0 P(V|P)= 0 P(V|ART)= 0 P(ART|N)= 0 P(ART|V)= .65 P(ART|P)= .74 P(ART|ART)=0 P(P|N)= .44 P(P|V)= 0 P(P|P)= 0 P(P|ART)= 0 A(BigramProbabilities) NULL ø a/V 0 a/N 0.00725 a/P 0 a/ART 0.2556 bird/P 3.19e-7 bird/ART 0 flies/V 0.00062 flies/N 0.000061 flies/P 8.36e-7 flies/ART 2.36e-11 B(LexicalGenerationProbabilities) P(flies|N)= .025 P(flies|V)= .076 P(flies|P)= 0 P(flies|ART)=0 P(like|N)= .012 P(like|V)= .1 P(like|P)= .068 P(like|ART)=0 P(a|N)= .001 P(a|V)= 0 P(a|P)= 0 P(a|ART)=.36 P(birds|N)= .076 P(birds|V)= 0 P(birds|P)= 0 P(birds|ART)=0 P(the|N)= 0 P(the|V)= 0 P(the|P)= 0 P(the|ART)= .54 N bird/V 3.11e-7 bird/N 0.019 ART N N N N P A bird flies ART N V