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Class-Based n-gram Models of
Natural Language
Victoria Lawlor
1/23/2019
Brown, P. F., Desouza, P. V., Mercer, R. L.,
Pietra, V. J. D., & Lai, J. C. (1992).
Problem
“In a number of natural language processing
tasks, we face the problem of recovering a string
of English words after it has been garbled by
passage through a noisy channel.”
Outline
1. Language Models
2. Word Classes
3. Sticky Pairs and Semantic Classes
Language Models
Evaluating language models: perplexity
• Perplexity is a measurement of how well a probability
distribution or probability model predicts a sample
• A low perplexity indicates the probability distribution is
good at predicting the sample
Language Models
N-gram models—predict the probability of a word based
on the words before
Predict wn given the previous n – 1 words:
P(wn|w1w2...wn – 1)
Language Models
Estimate N-gram probabilities:
Number of times the
given n – 1 words
precedes wn.
Sum of all the n-
grams that start with
the given n – 1 words.
Language Models
Increasing n
• Increases the accuracy of the model
• Decreases reliability
• Increases the number of parameters to estimate
Solution: Interpolation
Word Classes
Friday
Monday
Wednesday
weekends
man
boy
woman
dude
guy
girl
feet
miles
pounds
inches
meters
acres Thursday
Word Classes
N-gram class model:
Word Classes
N-gram class model:
Word Classes
Monday Tuesday Wednesday Thursday Friday
Let’s meet on______
Are you free to hang out ______
Tomorrow is ______
I’ll be there ______
You have until ______
Assigning words to classes:
Word Classes
Assigning words to classes—mutual information:
Word Classes
Assigning words to classes (greedy):
• Put each word into its own class
• Select desired number of classes, C
• Merge the pair of classes for which the loss in average
mutual information is least, until the number of classes = C
• Iterate through each word and move it to a different class if
it will lead to higher mutual information
Word Classes
Sticky Pairs
Mutual information of w1 and w2:
If w2 follows w1 more often than we expect, then
the mutual information is positive, and the pair is
“sticky”.
Sticky Pairs
Word Pair Mutual Information
Humpy Dumpty 22.5
Klux Klan 22.2
Avant garde 22.1
Taj Mahal 21.8
Mumbo jumbo 21.4
Helter skelter 21.4
Semantic Stickiness
We can seek pairs of words that simply occur near one another more than we would expect.
Semantic Stickiness
We can seek pairs of words that simply occur near one another more than we would expect.
Prnear(w1w2) > Pr(w1) Pr(w2)
(much)
Semantic Stickiness
large
size
smaller
small
larger
attorney
counsel trial
court judge
morning
noon
evening
night
nights
midnight
bed
school
classroom
teaching
grade
math
letter
addressed
enclosed
letters
correspondence
performance
performed
perform
performs
performing
Thanks!

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[2019] Class-based N-gram Models of Natural Language