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Harmonic Grammar Parser

Top-down. X Y. X Y. X Y. Bottom-up. A B. B A. A B. B A. A B. B A. Harmonic Grammar Parser. Simple, comprehensible network Simple grammar G X → A B Y → B A Language.

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Harmonic Grammar Parser

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  1. Top-down X Y X Y X Y Bottom-up A B B A A B B A A B B A Harmonic Grammar Parser • Simple, comprehensible network • Simple grammar G • X → A B Y → B A • Language Processing: Completion University of Amsterdam

  2. W Simple Network Parser • Fully self-connected, symmetric network • Like previously shown network … … Except with 12 units; representations and connections shown below University of Amsterdam

  3. Harmonic Grammar Parser • Representations: University of Amsterdam

  4. Harmonic Grammar Parser H(Y, B—) > 0H(Y, —A) > 0 • Weight matrix for Y → B A University of Amsterdam

  5. Harmonic Grammar Parser • Weight matrix for X → A B University of Amsterdam

  6. Harmonic Grammar Parser • Weight matrix for entire grammar G University of Amsterdam

  7. X Y A B B A Bottom-up Processing University of Amsterdam

  8. A B B A Top-down Processing X Y University of Amsterdam

  9. Generality Method applies to constraints of the form *λ/Cλ and C each one constituent • J. J. McCarthy (last night) University of Amsterdam

  10. Scaling up • Not yet … • Still technical obstacles to surmount University of Amsterdam

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