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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

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

simple network parser

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

harmonic grammar parser1
Harmonic Grammar Parser
  • Representations:

University of Amsterdam

harmonic grammar parser2
Harmonic Grammar Parser

H(Y, B—) > 0H(Y, —A) > 0

  • Weight matrix for Y → B A

University of Amsterdam

harmonic grammar parser3
Harmonic Grammar Parser
  • Weight matrix for X → A B

University of Amsterdam

harmonic grammar parser4
Harmonic Grammar Parser
  • Weight matrix for entire grammar G

University of Amsterdam

bottom up processing

X Y

A B

B A

Bottom-up Processing

University of Amsterdam

top down processing

A B

B A

Top-down Processing

X Y

University of Amsterdam

generality
Generality

Method applies to constraints of the form

*λ/Cλ and C each one constituent

  • J. J. McCarthy (last night)

University of Amsterdam

scaling up
Scaling up
  • Not yet …
  • Still technical obstacles to surmount

University of Amsterdam

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