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Euclidean distance between syntactically linked words.

Ramon Ferrer i Cancho1

  • 1ICREA-Complex Systems Laboratory, Universitat Pompeu Fabra, Dr. Aiguader 80, 08003 Barcelona, Spain. ramon@pil.phys.uniroma1.it

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 17, 2004
PubMed
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Syntactically linked words in sentences are closely spaced, with average distance growing slowly with sentence length. This suggests linguistic constraints on word proximity, potentially minimizing or constraining this distance.

Area of Science:

  • Computational linguistics
  • Natural language processing
  • Quantitative linguistics

Background:

  • Understanding word order and proximity is crucial for linguistic analysis.
  • Previous research has explored various metrics for word relationships within sentences.

Purpose of the Study:

  • To investigate the Euclidean distance between syntactically linked words.
  • To test hypotheses regarding minimization and constraints on this distance as a function of sentence length.

Main Methods:

  • Analysis of Euclidean distance between syntactically linked words in a corpus of sentences.
  • Statistical evaluation of distance as a function of sentence length.

Main Results:

  • The average Euclidean distance between syntactically linked words is significantly small.

Related Experiment Videos

  • This average distance exhibits very slow growth relative to sentence length.
  • The observed trends provide support for both minimization and constraint hypotheses.

    • Conclusions:

    • Linguistic structures appear to favor proximity between syntactically related words.
    • The findings suggest underlying constraints that limit the distance between linked words, possibly following an exponential distribution.