Generating Numerical Approximations | Zendy

Richard Power | Zendy; Sandra Williams | Zendy

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Generating Numerical Approximations

Author(s) -

Richard Power,

Sandra Williams

Publication year - 2011

Publication title -

computational linguistics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.314

H-Index - 98

eISSN - 1530-9312

pISSN - 0891-2017

DOI - 10.1162/coli_a_00086

Subject(s) - numeracy , computer science , constraint (computer aided design) , numerical cognition , numerical analysis , empirical research , operations research , mathematics , statistics , psychology , pedagogy , geometry , literacy , cognition , neuroscience , mathematical analysis

We describe a computational model for planning phrases like \"more than a quarter\" and \"25.9 per cent\" which describe proportions at different levels of precision. The model lays out the key choices in planning a numerical description, using formal definitions of mathematical form (e.g., the distinction between fractions and percentages) and roundness adapted from earlier studies. The task is modeled as a constraint satisfaction problem, with solutions subsequently ranked by preferences (e.g., for roundness). Detailed constraints are based on a corpus of numerical expressions collected in the NumGen project,1 and evaluated through empirical studies in which subjects were asked to produce (or complete) numerical expressions in specified contexts.

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