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Entropy, semantic relatedness and proximity.

Lance W Hahn1, Robert M Sivley

  • 1Department of Psychology, Western Kentucky University, 1906 College Heights Blvd. #21030, Bowling Green, KY 42101, USA. Lance.Hahn@WKU.edu

Behavior Research Methods
|May 11, 2011
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Summary
This summary is machine-generated.

Local word interactions, previously overlooked, are computationally analyzed using information theory. Findings reveal semantic meaning in word pairs and reduced language entropy in sequences, offering new insights into communication.

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Area of Science:

  • Cognitive Psychology
  • Computational Linguistics
  • Information Theory

Background:

  • Psychological research has largely ignored local word interactions due to practical limitations.
  • Information theory provides a framework for understanding the utility of word interactions in communication.
  • Advances in computation enable the analysis of word-word interactions in large text corpora.

Purpose of the Study:

  • To computationally examine local word-word interactions using information theory.
  • To investigate the relationship between semantic associativity and word pair probabilities.
  • To analyze the entropy of words and word sequences in language.

Main Methods:

  • Utilized Brants and Franz's (2006) dataset to compute conditional probabilities for 62,474 word pairs.
  • Calculated entropy for 9,917 words from Nelson, McEvoy, and Schreiber's (2004) free association norms.
  • Correlated semantic associativity with computed probabilities and word entropy.

Main Results:

  • Semantic associativity showed a moderate correlation with word pair probabilities, particularly for non-adjacent words.
  • A correlation was observed between the number of semantic associates for a word and its entropy.
  • Language entropy decreases significantly from single words (11 bits) to four-word sequences (6 bits per word).

Conclusions:

  • Local word interactions contain valuable semantic information, supporting information theory's principles.
  • Computational methods can overcome previous practical challenges in studying word interactions.
  • The study quantifies language entropy reduction in sequences, offering insights into linguistic structure and communication efficiency.