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Page 2
POS Tagging Problem
Given a sentence W1…Wn and a tagset of lexical categories, find the most likely tag T1..Tn for each word in the sentence
Example
Secretariat/NNP is/VBZ expected/VBN to/TO race/VB tomorrow/NN
People/NNS continue/VBP to/TO inquire/VB the/DT reason/NN for/IN the/DT race/NN for/IN outer/JJ space/NN
Note that many of the words may have unambiguous tags
- But enough words are either ambiguous or unknown that it’s a nontrivial task
Page 3
More details of the problem
How ambiguous?- Most words in English have only one Brown Corpus tag
Unambiguous (1 tag) 35,340 word types Ambiguous (2- 7 tags) 4,100 word types = 11.5%
- 7 tags: 1 word type “still”- But many of the most common words are ambiguous
Over 40% of Brown corpus tokens are ambiguous Obvious strategies may be suggested based on intuition
to/TO race/VB the/DT race/NN will/MD race/NN
- This leads to hand-crafted rule-based POS tagging (J&M, 5.4) Sentences can also contain unknown words for which tags have
to be guessed: Secretariat/NNP
Page 4
POS tagging methods
First, we’ll look at how POS-annotated corpora are constructed
Then, we’ll narrow in on various POS tagging methods, which rely on POS-annotated corpora
- Supervised learning: use POS-annotated corpora as training material
HMMs, TBL, Maximum Entropy, MBL
- Unsupervised learning: use training material which is unannotated
HMMs, TBL
We’ll only provide an overview of the methods
- Many of the details will be left to L645
Page 5
Constructing POS-annotated corpora
By examining how POS-annotated corpora are created, we will understand the task even better
Basic steps
- 1. Tokenize the corpus
- 2. Design a tagset, along with guidelines
- 3. Apply the tagset to the text
Knowing what issues the corpus annotators had to deal with in hand-tagging tells us the kind of issues we’ll have to deal with in automatic tagging
Page 6
1. Tokenize the corpus
The corpus is first segmented into sentences And then each sentence is tokenized into unique tokens
(words)
Punctuation is usually split off
- Figuring out sentence-ending periods vs. abbreviatory periods is not always easy.
Can become tricky:
- Proper nouns and other multi-word units: one token or separate tokens? e.g., Jimmy James, in spite of
- Contractions often split into separate words: can’t can n’t (because these are two different POSs)
- Hyphenations sometimes split, sometimes kept together
Page 7
2. Design the Tagset
It is not obvious what the parts of speech are in any language, so a tagset has to be designed.
Criteria:
- External: what do we need to capture the linguistic properties of the text?
- Internal: what distinctions can be made reliably in a text?
Some tagsets are compositional: each character in the tag has a particular meaning:
Vr3s-f
= verb-present-3rd-singular-<undefined_for_case>-female
What do you do with multi-token words, e.g. in terms of?
Page 8
Example English Part-of-Speech Tagsets
Brown corpus - 87 tags- Allows compound tags
“I'm” tagged as PPSS+BEM - PPSS for "non-3rd person nominative personal
pronoun" and BEM for "am, 'm“
Others have derived their work from Brown Corpus- LOB Corpus: 135 tags- Lancaster UCREL Group: 165 tags- London-Lund Corpus: 197 tags. - BNC – 61 tags (C5)- PTB – 45 tags
Other languages have developed other tagsets
Page 10
Typical Problem Cases
Certain tagging distinctions are particularly problematic
For example, in the Penn Treebank (PTB), tagging systems do not consistently get the following tags correct:
- NN vs NNP vs JJ, e.g., Fantastic
somewhat ill-defined distinctions
- RP vs RB vs IN, e.g., off
pseudo-semantic distinctions
- VBD vs VBN vs JJ, e.g., hated
non-local distinctions
Page 11
3. Apply Tagset to Text
PTB Tagging Process:
1. Automatic tagging by rule-based and statistical POS taggers, error rates of 2-6%.
2. Human correction using a text editor
- Takes under a month for humans to learn this, and annotation speeds after a month exceed 3,000 words/hour
- Inter-annotator disagreement (4 annotators, eight 2000-word docs) was 7.2% for the tagging task and 4.1% for the correcting task
Benefit of post-editing: Manual tagging took about 2X as long as correcting, with about 2X the inter-annotator disagreement rate and error rate that was about 50% higher
Page 12
POS Tagging Methods
Two basic ideas to build from:
- Establishing a simple baseline with unigrams
- Hand-coded rules
Machine learning techniques:
- Supervised learning techniques
- Unsupervised learning techniques
Page 13
A Simple Strategy for POS Tagging
Choose the most likely tag for each ambiguous word, independent of previous words
- i.e., assign each token the POS category it occurred as most often in the training set
- e.g., race – which POS is more likely in a corpus?
This strategy gives you 90% accuracy in controlled tests- So, this “unigram baseline” must always be compared
against
Page 14
Example of the Simple Strategy
Which POS is more likely in a corpus (1,273,000 tokens)? NN VB Total
race 400 600 1000
P(NN|race) = P(race&NN) / P(race) by the definition of conditional probability
- P(race) 1000/1,273,000 = .0008 - P(race&NN) 400/1,273,000 =.0003- P(race&VB) 600/1,273,000 = .0005
And so we obtain:
- P(NN|race) = P(race&NN)/P(race) = .0003/.0008 =.375- P(VB|race) = P(race&VB)/P(race) = .0004/.0008 = .625
Page 15
Hand-coded rules
Two-stage system:
- Dictionary assigns all possible tags to a word
- Rules winnow down the list to a single tag
Sometimes, multiple tags are left, if it cannot be determined
Can also use some probabilistic information
These systems can be highly effective, but they of course take time to write the rules.
- We’ll see an example later of trying to automatically learn the rules (transformation-based learning)
Page 16
Hand-coded Rules: ENGCG System Uses 56,000-word lexicon which lists parts-of-speech for
each word (using two-level morphology)
Uses up to 3,744 rules, or constraints, for POS disambiguation
ADV-that rule
Given input “that” (ADV/PRON/DET/COMP)
If (+1 A/ADV/QUANT) #next word is adj, adverb, or quantifier
(+2 SENT_LIM) #and following word is a sentence boundary
(NOT -1 SVOC/A) #and the previous word is not a verb like
#consider which allows adjs as object complements
Then eliminate non-ADV tags
Else eliminate ADV tag
Page 17
Machine Learning
Machines can learn from examples
- Learning can be supervised or unsupervised
Given training data, machines analyze the data, and learn rules which generalize to new examples
- Can be sub-symbolic (rule may be a mathematical function) e.g., neural nets
- Or it can be symbolic (rules are in a representation that is similar to representation used for hand-coded rules)
In general, machine learning approaches allow for more tuning to the needs of a corpus, and can be reused across corpora
Page 18
Ways of learning
Supervised learning:
- A machine learner learns the patterns found in an annotated corpus
Unsupervised learning:
- A machine learner learns the patterns found in an unannotated corpus
- Often uses another database of knowledge, e.g., a dictionary of possible tags
Techniques used in supervised learning can be adapted to unsupervised learning, as we will see.
Page 19
1. TBL: A Symbolic Learning Method
A method called error-driven Transformation-Based Learning (TBL) (Brill algorithm) can be used for symbolic learning
- The rules (actually, a sequence of rules) are learned from an annotated corpus
- Performs about as accurately as other statistical approaches
Can have better treatment of context compared to HMMs (as we’ll see)
- rules which use the next (or previous) POS
HMMs just use P(Ti| Ti-1) or P(Ti| Ti-2 Ti-1)
- rules which use the previous (next) word
HMMs just use P(Wi|Ti)
Page 20
Rule Templates
Brill’s method learns transformations which fit different templates
- Template: Change tag X to tag Y when previous word is W
Transformation: NN VB when previous word = to
- Change tag X to tag Y when next tag is Z
NN NNP when next tag = NNP
- Change tag X to tag Y when previous 1st, 2nd, or 3rd word is W
VBP VB when one of previous 3 words = has
The learning process is guided by a small number of templates (e.g., 26) to learn specific rules from the corpus
Note how these rules sort of match linguistic intuition
Page 21
Brill Algorithm (Overview)
Assume you are given a training corpus G (for gold standard)
First, create a tag-free version V of it … then do steps 1-4
Notes:
- As the algorithm proceeds, each successive rule covers fewer examples, but potentially more accurately
- Some later rules may change tags changed by earlier rules
1. Initial-state annotator: Label every word token in V with most likely tag for that word type from G.
2. Consider every possible transformational rule: select the one that leads to the most improvement in V using G to measure the error
3. Retag V based on this rule
4. Go back to 2, until there is no significant improvement in accuracy over previous iteration
Page 22
Error-driven method
How does one learn the rules?
The TBL method is error-driven
- The rule which is learned on a given iteration is the one which reduces the error rate of the corpus the most, e.g.:
- Rule 1 fixes 50 errors but introduces 25 more net decrease is 25
- Rule 2 fixes 45 errors but introduces 15 more net decrease is 30
Choose rule 2 in this case
We set a stopping criterion, or threshold once we stop reducing the error rate by a big enough margin, learning is stopped
Page 23
Brill Algorithm (More Detailed) 1. Label every word token with
its most likely tag (based on lexical generation probabilities).
2. List the positions of tagging errors and their counts, by comparing with “truth” (T)
3. For each error position, consider each instantiation I of X, Y, and Z in Rule template.- If Y=T, increment
improvements[I], else increment errors[I].
4. Pick the I which results in the greatest error reduction, and add to output- VB NN PREV1OR2TAG DT
improves on 98 errors, but produces 18 new errors, so net decrease of 80 errors
5. Apply that I to corpus 6. Go to 2, unless stopping
criterion is reached
Most likely tag:
P(NN|race) = .98
P(VB|race) = .02
Is/VBZ expected/VBN to/TO race/NN tomorrow/NN
Rule template: Change a word from tag X to tag Y when previous tag is Z
Rule Instantiation for above example: NN VB PREV1OR2TAG TO
Applying this rule yields:
Is/VBZ expected/VBN to/TO race/VB tomorrow/NN
Page 25
Rule ordering
One rule is learned with every pass through the corpus.
- The set of final rules is what the final output is
- Unlike HMMs, such a representation allows a linguist to look through and make more sense of the rules
Thus, the rules are learned iteratively and must be applied in an iterative fashion.
- At one stage, it may make sense to change NN to VB after to
- But at a later stage, it may make sense to change VB back to NN in the same context, e.g., if the current word is school
Page 26
Example of Learned Rule Sequence
1. NN VB PREVTAG TO- to/TO race/NN->VB
2. VBP VB PREV1OR20R3TAG MD- might/MD vanish/VBP-> VB
3. NN VB PREV1OR2TAG MD- might/MD not/RB reply/NN -> VB
4. VB NN PREV1OR2TAG DT - the/DT great/JJ feast/VB->NN
5. VBD VBN PREV1OR20R3TAG VBZ- He/PP was/VBZ killed/VBD->VBN by/IN Chapman/NNP
Page 27
Handling Unknown Words
Can also use the Brill method to learn how to tag unknown words
Instead of using surrounding words and tags, use affix info, capitalization, etc.
- Guess NNP if capitalized, NN otherwise.
- Or use the tag most common for words ending in the last 3 letters.
- etc.
TBL has also been applied to some parsing tasks
Example Learned Rule Sequence for Unknown Words
Page 28
Insights on TBL
TBL takes a long time to train, but is relatively fast at tagging once the rules are learned
The rules in the sequence may be decomposed into non-interacting subsets, i.e., only focus on VB tagging (need to only look at rules which affect it)
In cases where the data is sparse, the initial guess needs to be weak enough to allow for learning
Rules become increasingly specific as you go down the sequence.
- However, the more specific rules generally don’t overfit because they cover just a few cases
Page 29
2. HMMs: A Probabilistic Approach
What you want to do is find the “best sequence” of POS tags T=T1..Tn for a sentence W=W1..Wn.
- (Here T1 is pos_tag(W1)).find a sequence of POS tags
T that maximizes P(T|W) Using Bayes’ Rule, we can
sayP(T|W) = P(W|T)*P(T)/P(W)
We want to find the value of T which maximizes the RHS denominator can be discarded (same for every T)
Find T which maximizes P(W|T) * P(T)
Example: He will race Possible sequences:
- He/PRP will/MD race/NN- He/PRP will/NN race/NN- He/PRP will/MD race/VB- He/PRP will/NN race/VB
W = W1 W2 W3 = He will race
T = T1 T2 T3- Choices:
T= PRP MD NN T= PRP NN NN T = PRP MD VB T = PRP NN VB
Page 30
Ngram Models
POS problem formulation- Given a sequence of words, find a sequence of
categories that maximizes P(T1..Tn| W1…Wn)- i.e., that maximizes P(W1…Wn | T1…Tn) * P(T1..Tn)
(by Bayes’ Rule)
Chain Rule of probability: P(W|T) = i=1, n P(Wi|W1…Wi-1T1…Ti)
prob. of this word based on previous words & tagsP(T) = i=1, n P(Ti|W1…WiT1…Ti-1)
prob. of this tag based on previous words & tags
But we don’t have sufficient data for this, and we would likely overfit the data, so we make some assumptions to simplify the problem …
Page 31
Independence Assumptions
Assume that current event is based only on previous n-1 events (for a bigram model, it’s based only on previous 1 event)
P(T1….Tn) i=1, n P(Ti| Ti-1)
- assumes that the event of a POS tag occurring is independent of the event of any other POS tag occurring, except for the immediately previous POS tag
From a linguistic standpoint, this seems an unreasonable assumption, due to long-distance dependencies
P(W1….Wn | T1….Tn) i=1, n P(Wi| Ti)
- assumes that the event of a word appearing in a category is independent of the event of any surrounding word or tag, except for the tag at this position.
Page 32
Hidden Markov Models
Linguists know both these assumptions are incorrect!
- But, nevertheless, statistical approaches based on these assumptions work pretty well for part-of-speech tagging
In particular, with Hidden Markov Models (HMMs)
- Very widely used in both POS-tagging and speech recognition, among other problems
- A Markov model, or Markov chain, is just a weighted Finite State Automaton
Page 33
POS Tagging Based on Bigrams
Problem: Find T which maximizes P(W | T) * P(T)
- Here W=W1..Wn and T=T1..Tn
Using the bigram model, we get:
- Transition probabilities (prob. of transitioning from one state/tag to another):
P(T1….Tn) i=1, n P(Ti|Ti-1)
- Emission probabilities (prob. of emitting a word at a given state):
P(W1….Wn | T1….Tn) i=1, n P(Wi| Ti)
So, we want to find the value of T1..Tn which maximizes:
i=1, n P(Wi| Ti) * P(Ti| Ti-1)
Page 34
Using POS bigram probabilities: transitions
P(T1….Tn) i=1, n P(Ti|
Ti-1)
Example: He will race
Choices for T=T1..T3
- T= PRP MD NN- T= PRP NN NN- T = PRP MD VB- T = PRP NN VB
POS bigram probs from training corpus can be used for P(T)
P(PRP-MD-NN)=1*.8*.4 =.32
C|R MD NN VB PRP
MD .4 .6
NN .3 .7
PRP .8 .2
1
POS bigram probs
PRP
MDNN
VBNN
.4
.6.3
.7
.8
.2
1
Page 35
HMMs
Nodes (or states): tag options Edges: Each edge from a node has a (transition) probability to
another state- The sum of transition probabilities of all edges going out
from a node is 1
The probability of a path is the product of the probabilities of the edges along the path.
- Why multiply? Because of the assumption of independence (Markov assumption).
- POS tagging is interested in finding the probability of a path
The probability of a string is the sum of the probabilities of all the paths for the string.
- Why add? Because we are considering the union of all interpretations.
- A string that isn’t accepted has probability zero.
Page 36
Hidden Markov Models
Why the word “hidden”?
Called “hidden” because one cannot tell what state the model is in for a given sequence of words.
- e.g., will could be generated from NN state, or from MD state, with different probabilities.
That is, looking at the words will not tell you directly what tag state you’re in.
Page 37
Factoring in lexical generation probabilities
From the training corpus, we need to find the Ti which maximizes
i=1, n P(Wi| Ti) * P(Ti| Ti-1)
So, we’ll need to factor the lexical generation (emission) probabilities, somehow:
MD NN VB PRP
he 0 0 0 1
will .8 .2 0 0
race 0 .4 .6 0
lexical generation probs
PRP
MDNN
VBNN
.4
.6.3
.7
.8
.2
1
+A B
D
F
C E
Page 38
Adding emission probabilities
he|PRP .3
will|MD.8
race|NN.4
race|VB.6
will|NN .2
.4
.6.3
.7
.8
.2
<s>| 1
MD NN VB PRP
he 0 0 0 .3
will .8 .2 0 0
race 0 .4 .6 0
lexical generation probs
C|R MD NN VB PRP
MD .4 .6
NN .3 .7
PP .8 .2
1
pos bigram probs
Page 39
Calculating Possibilities: The Slow Way
Here’s what we could do:
- Calculate all 4 paths independently
P(PRP MD NN|He will run) P(PRP NN NN|He will run) P(PRP MD VB|He will run) P(PRP NN VB|He will run)
- P(PRP MD NN|He will run) = P(He|PRP)*P(MD|PRP)*P(will|MD)*…
- P(PRP MD VB|He will run) = P(He|PRP)*P(MD|PRP)*P(will|MD)*…
But wait: the first few probabilities are the same in both cases!
Page 40
Dynamic Programming
In order to find the most likely sequence of categories for a sequence of words, we don’t need to enumerate all possible sequences of categories.
Because of the Markov assumption, if you keep track of the most likely sequence found so far for each possible ending category, you can ignore all the other less likely sequences.
- i.e., multiple edges coming into a state, but only keep the value of the most likely path
- This is a use of dynamic programming
The algorithm to do this is called the Viterbi algorithm.
Page 41
The Viterbi algorithm
1. Assume we’re at state I in the HMM
• States H1 … Hm all come into I
2. Obtain
• the best probability of each previous state H1…Hm
• the transition probabilities: P(I|H1), … P(I|Hm)
• the emission probability for word w at I: P(w|I)
3. Multiple the probabilities for each new path:
• e.g., P(Hi,I) = Best(H1)*P(I|H1)*P(w|I)
4. One of these states (H1…Hm) will give the highest probability
• Only keep the highest probability when using I for the next state
Page 42
Finding the best path through an HMM
Best(I) = Max H < I [Best(H)* P(I|H)]* P(w|I)
Best(A) = 1
Best(B) = Best(A) * P(PRP|) * P(he|PRP) = 1*1*.3=.3
Best(C)=Best(B) * P(MD|PRP) * P(will|MD) = .3*.8*.8= .19
Best(D)=Best(B) * P(NN|PRP) * P(will|NN) = .3*.2*.2= .012
Best(E) = Max [Best(C)*P(NN|MD), Best(D)*P(NN|NN)] * P(race|NN) = .03
Best(F) = Max [Best(C)*P(VB|MD), Best(D)*P(VB|NN)] * P(race|VB)= .068
he|PRP.3
will|MD.8
race|NN.4
race|VB.6
will|NN.2
.4
.6.3
.7
.8
.2
<s>| 1
MD NN VB PRP
he 0 0 0 .3
will .8 .2 0 0
race 0 .4 .6 0
lexical generation probs
A
C
B
D
E
F
Viterbialgorithm
Page 43
Smoothing
Lexical generation probabilities will lack observations for low-frequency and unknown words
Most systems do one of the following
- Use deleted interpolation – so a trigram uses bigram and unigram information
- Smooth the counts
E.g., add a small number to unseen data
- Use more data (but you’ll still need to smooth)
- Group items into classes, thus increasing class frequency
e.g., group words into ambiguity classes, based on their set of tags.
Page 44
3. Maximum Entropy
Maximum entropy: model what you know as best you can, remain uncertain about the rest
Set up some features, similar to Brill’s templates
When tagging, the number of features which are true determines the probability of a tag in a particular context
- Make your probability model match the training data as well as it can, i.e., if an example matches features we’ve seen, we know exactly what to do
- But the probability model also maximizes the entropy = uncertainty … so, we are noncommittal to anything not seen in the training data
Page 45
Other techniques
Decision trees
Memory-Based Learning (Case-Based Reasoning)
Neural networks
Conditional random fields
A network of linear functions
Basically, whatever techniques are being used in machine learning are appropriate techniques to try with POS tagging
However, remember also that POS tagging is a sequence problem, and thus techniques developed for sequences should work better.
- Bidirectional dependency networks
- Guided learning (bidirectional labeling)
Page 46
Bidirectional dependency networks(Toutanova et al 2003)
Instead of using left-to-right or right-to-left probabilities, use them in both directions
- P(t0|t-1) may ignore certain patterns
e.g. in will to fight, will is likely a noun because nouns generally precede to
However, P(TO|NN) (=1 because to is always TO) does not capture this, whereas P(t-1=NN|t0=TO) does
Since bidirectionality means that the network is cyclic, one has to be more careful about combining probabilities
Toutanova et al integrate maximum entropy modeling into this network (to obtain probabilities)
- With this, they use more robust features about the surrounding context
Page 47
Guided Learning (Shen et al 2007)
It is not clear in which order POS tagging decisions should be made
- In some cases, the previous tag(s) are useful; in others, it is the following ones.
- Consider Agatha found that book interesting
- To disambiguate that, it helps to first disambiguate book and interesting
Shen et al employ a flexible search strategy in disambiguation
- Handle the cases you have most confidence in first
- This minimizes the amount of ambiguity when dealing with the less confident cases (meaning that the search space is smaller)
Page 48
Unsupervised learning
Unsupervised learning:
- Use an unannotated corpus for training data
- Instead, will have to use another database of knowledge, such as a dictionary of possible tags
Unsupervised learning use the same general techniques as supervised, but there are important differences
Advantage is that there is more unannotated data to learn from
- And annotated data isn’t always available
Page 49
Unsupervised Learning #1: TBL
With TBL, we want to learn rules of patterns, but how can we learn the rules if there’s no annotated data?
Main idea: look at the distribution of unambiguous words to guide the disambiguation of ambiguous words
Example: the can, where can can be a noun, modal, or verb
Let’s take unambiguous words from dictionary and count their occurrences after the
- the elephant- the guardian
Conclusion: immediately after the, nouns are more common than verbs or modals
Page 50
Unsupervised TBL
Initial state annotator- Supervised: assign random tag to each word- Unsupervised: for each word, list all tags in dictionary
The templates change accordingly …
Transformation template: - Change tag of word to tag Y if the previous (next)
tag (word) is Z, where is a set of 2 or more tags- Don’t change any other tags
Page 51
Error Reduction in Unsupervised Method
Let a rule to change to Y in context C be represented as Rule(, Y, C).
- Rule1: {VB, MD, NN} NN PREVWORD the- Rule2: {VB, MD, NN} VB PREVWORD the
Idea: - since annotated data isn’t available, score rules so as
to prefer those where Y appears much more frequently in the context C than all others in
frequency is measured by counting unambiguously tagged words
so, prefer {VB, MD, NN} NN PREVWORD the
to {VB, MD, NN} VB PREVWORD the
since dict-unambiguous nouns are more common in a corpus after the than dict-unambiguous verbs
Page 52
Unsupervised Learning #2: HMMs
We still want to use transition (P(ti|ti-1)) and emission (P(w|t)) probabilities, but how do we obtain them?
During training, the values of the states (i.e., the tags) are unknown, or hidden
Start by using a dictionary, to at least estimate the emission probability
Using the forward-backward algorithm, iteratively derive better probability estimates
- The best tag may change with each iteration
Stop when probability of the sequence of words has been (locally) maximized
Page 53
Forward-Backward Algorithm
The Forward-Backward (or Baum-Welch) Algorithm for POS tagging works roughly as follows:
- 1. Initialize all parameters (forward and backward probability estimates)
- 2. Calculate new probabilities
A. Re-estimate the probability for a given word in the sentence from the forward and backward probabilities
B. Use that to re-estimate the forward and backward parameters
- 3. Terminate when a local maximum for the string is reached
See L645 for more details …
Page 54
Summary: POS tagging
Part-of-speech tagging can use
- Hand-crafted rules based on inspecting a corpus
- Machine Learning-based approaches using rules derived automatically from a corpus
- Machine Learning-based approaches based on corpus statistics
When Machine Learning is used, it can be
- Supervised (using an annotated corpus)
- Unsupervised (using an unannotated corpus)