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Part II. Statistical NLP

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Advanced Artificial Intelligence Part II. Statistical NLP Probabilistic Context Free Grammars Wolfram Burgard, Luc De Raedt, Bernhard Nebel, Lars Schmidt-Thieme – PowerPoint PPT presentation

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Title: Part II. Statistical NLP


1
Advanced Artificial Intelligence
  • Part II. Statistical NLP

Probabilistic Context Free Grammars Wolfram
Burgard, Luc De Raedt, Bernhard Nebel, Lars
Schmidt-Thieme
Slides taken from the Stanford Group (Manning and
Schuetze)
2
Viterbi Algorithm and PCFGs
  • This is like the inside algorithm but we find the
    maximum instead of the sum and then record it
  • ?i(p,p) highest probability parse of a
    subtree Nipq
  • Initialization ?i(p,p) P(Ni wp)
  • Induction
  • ? i(p,q) max P(Ni Nj Nk ) ? j(p,r) ?
    k(r1,q)
  • Store backtrace
  • ? i(p,q) argmax P(Ni Nj Nk ) ? j(p,r) ?
    k(r1,q)
  • From start symbol N1, most likely parse t is
  • P(t) ?1(1,m)

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Two settings for learning
  • Learning from complete data
  • Everything is observed visible, examples are
    parse trees
  • Cf. POS-tagging from tagged corpora
  • PCFGs learning from tree banks,
  • Easy just counting
  • Learning from incomplete data
  • Harder The EM approach
  • The inside-outside algorithm
  • Learning from the sentences (no parse trees given)

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